e-defense large-scaled underground structure test ......02/23/2014 e-defense large-scaled...

02/23/2014

E-Defense Large-scaled Underground Structure Test Competition of Numerical Analysis

Final Evaluation

Participants

Team CTC

Category (a) Category 1: Two vertical shafts with a cut-and-cover tunnel

Classification (b) Practitioner (Engineer/Designer)

Representative Hiroki Wauchi

Affiliation ITOCHU Techno-Solutions Corporation

Team Members

(Excluding representative)

1. Sunhae Yoon, ITOCHU Techno-Solutions Corporation

2. Toshio Noguchi, ITOCHU Techno-Solutions Corporation

3. Noriyuki Kubo, ITOCHU Techno-Solutions Corporation

4. Shinkichi Sakai, ITOCHU Techno-Solutions Corporation

5.

Team Takenaka

Category (c) Category 3: All

Classification (a) Researcher

Representative Kazuhiro Kaneda

Affiliation Takenaka Corporation

Team Members

(Excluding representative)

1. Naohiro Nakamura, Takenaka Corporation

2. Yoshimasa Shigeno, Takenaka Corporation

3. Takuya Suzuki, Takenaka Corporation

4. Takuya Kinoshita, Takenaka Corporation

5. Takaki Tojo, Takenaka Corporation

6. Sadatomo Onimaru, Takenaka Corporation

7. Soshi Nakamura, Takenaka Corporation

In addition, 4 more teams including research groups in Japan, USA and China, intended to join in the competition,

but they canceled participating for some reasons.

- 2 -

Basic Information / Strategies of Evaluation

Both of Team CTC and Team Takenaka submitted their results for Class A analysis. So, there is no

advantage for Class A analysis on the teams.

Delta t of the time histories submitted from the teams is 0.01 second (100Hz).

Using summations of absolute simple differences and root mean squares (RMS), errors (differences

between test and numerical results) are expressed in single scalars.

Normalizing “the average errors” with “the maximum responses”, calculate rates of the errors and give

scores for each item based on the below tables: Table 1 is score list for the evaluation methods 1, 2a, 3 and

4a. Table 2 is for the evaluation methods 2b and 4b with RMS because the rates of the errors are

significantly small in these methods than in the others.

Advantages of this method are; 1) it can evaluate results in different category using scores given based on

the same rule, 2) it can give additional scores to teams in Category 3 making more efforts than the other

Categories.

Table 1 Score except for RMS evaluation Table 2 Score for RMS evaluation

Rate of Error (%) Score Rate of Error (%) Score

0 ～ 5 10 0 ～ 0.5 10

5 ～ 10 9 0.5 ～ 10 9

10 ～ 15 8 1.0 ～ 1.5 8

15 ～ 20 7 1.5 ～ 2.0 7

20 ～ 30 6 2.0 ～ 3.0 6

30 ～ 40 5 3.0 ～ 4.0 5

40 ～ 50 4 4.0 ～ 5.0 4

50 ～ 60 3 5.0 ～ 6.0 3

60 ～ 80 2 6.0 ～ 8.0 2

80 ～ 100 1 8.0 ～ 10.0 1

100 ～ 0 10.0 ～ 0

- 3 -

Evaluation methods

Because each researcher or engineer may have different sense of value, the below methods are tried in order to

make objective competition as much as possible.

Method 1: Max / Min, Residual

This method compares the maximum, the minimum and the residual values of each response. It is one of the

simplest methods and maybe sufficient in design practice. In addition, there is no room for personal subjective

judgment, and therefore, it is completely fare. However, it cannot evaluate agreement of the specimen responses,

such as time histories of acceleration / displacement.

Method 2a: Time Histories with Simple Difference

This method can directly quantify agreements of the time histories. But the maximum absolute responses are used

as denominators in the calculation of the rates, so the rates show small values. This fault generates some extreme

cases: for instance, test result shows large displacement and very small displacement appears in analysis; an

average of test result = 1, maximum of the test result = 3, an average of numerical result = 0.001, 𝑟𝜀 = 33.3%. In

summary, test and analysis results do not agree at all, but the score is 5 based on Table 1. This fault can be covered

with Method 1, the maximum and the minimum values.

Method 2b: Time Histories with RMS

In this method, root mean squares (RMS) are used in order to express errors in single scalars, instead of the simple

differences. Evaluation results show the same tendency with ones in Method 2a.

Method 3: Arias Intensity

In this method, strengths of motions (Arias Intensity of acceleration time histories) are compared. This method

cannot evaluate displacement/strain time histories.

Method 4a: Fourier Spectrum with Simple difference

This method can see agreements any frequency components of motions, and it does not affect phase difference,

residual displacements and strains. In calculations of the error rates, the maximum spectra are also used as

denominators, the rates become small, and therefore, scores are relatively high even in cases with large

differences.

Method 4b: Fourier Spectrum with RMS

Instead of the simple differences, RMSs are used as indexes of the errors. The Same tendency appears with one of

Method 4a.

Summary:

All the evaluation methods seem to have some faults. To be objective as much as possible, evaluation results with

various methods need to be totally summarized (probably evaluations with various methods can complement

faults in each method).

- 4 -

Evaluations (score sheets and comparisons of test and analysis are attached in Appendices)

Method 1: Max / Min, Residual

𝑟𝜀 = |𝑑𝑡 − 𝑑𝑎| |𝑑𝑡|max⁄ × 100

𝑟𝜀: Rate of Error (%), 𝑑𝑡: Data in Experiment, 𝑑𝑎: Data in analysis. Note: Displacement and strain time

histories are zero-initialized at 0 sec. subtracting average of the first 0.1 sec. data from all the data.

Table 2-1 Method 1, Case1 (Step Sine 50 Gal, X-axis)

Team (a) (b) (c) (d) (e) (f) (g) (h) Total

CTC 39 84 30 9 --- --- --- --- 162

28 64 19 6 --- --- --- --- 117

Takenaka

Corp.

21 49 18 6 57 24 57 5 237

17 39 14 3 39 --- 39 --- 151

Top: Total of all results，Bottom: Total of reliable results

Table 2-2 Method 1, Case2 (Step Sine 50 Gal, Y-axis)


CTC 43 108 30 11 --- --- --- --- 192

33 60 17 1 --- --- --- --- 111

Takenaka 21 40 22 16 70 5 71 5 250

16 30 17 12 40 --- 40 --- 155


Table 2-3 Method 1, Case3 (JR Takatori 50%)


CTC 68 126 33 5 --- --- --- --- 232

Takenaka 24 52 20 5 72 15 72 5 265

(a) Acceleration/Displacement at Ground Surface

(b) Acceleration/Displacement at Top of Vertical Shaft on Rigid/Flexible Sides

(c) Acceleration at Center of Cut & Cover Tunnel

(d) Relative Displacement of Flexible Joint

(e) Acceleration of Shield Tunnel without Flexible Segment

(f) Bending Strain of Shield Tunnel without Flexible Segment

(g) Acceleration of Shield Tunnel with Flexible Segment

(h) Relative Displacement of Flexible Segment

- 5 -

Method 2a: Time Histories with Simple Difference

𝑟𝜀 =∑|𝑑𝑡𝑖 − 𝑑𝑎𝑖|

𝑁𝑖

|𝑑𝑡|max⁄ × 100

𝑟𝜀: Rate of Error (%), 𝑑𝑡𝑖: Data in Experiment at ith

time step, 𝑑𝑎𝑖: Data in analysis at ith

time step, 𝑁: Number of

data. Note: Displacement and strain time histories are zero-initialized at 0 sec. subtracting average of the first 0.1

sec. data from all the data.

Table 3-1 Method 2a, Case1 (Step Sine 50 Gal, X-axis)


CTC 27 58 14 7 --- --- --- --- 106

14 28 8 5 --- --- --- --- 55

Takenaka 28 55 14 11 30 9 31 10 188

14 26 7 5 18 --- 18 --- 88


Table 3-2 Method 2a, Case2 (Step Sine 50 Gal, Y-axis)


CTC 28 52 13 7 --- --- --- --- 100

15 27 7 3 --- --- --- --- 52

Takenaka 27 53 14 10 32 12 35 10 193

13 27 7 6 20 --- 20 --- 93


Table 3-3 Method 2a, Case3 (JR Takatori 50%)


CTC 32 62 20 5 --- --- --- --- 119

Takenaka 27 54 16 4 40 11 40 13 205









- 6 -

Method 2b: Time Histories with RMS

𝑟𝜀 = √∑(𝑑𝑡𝑖 − 𝑑𝑎𝑖)2

𝑖

𝑁 |𝑑𝑡|max⁄⁄ × 100

𝑟𝜀: Rate of Error (%), 𝑑𝑡𝑖: Data in Experiment at ith

time step, 𝑑𝑎𝑖: Data in analysis at ith

time step, 𝑁: Number of

data. Note: Displacement and strain time histories are zero-initialized at 0 sec. subtracting average of the first 0.1

sec. data from all the data.

Table 4-1 Method 2b, Case1 (Step Sine 50 Gal, X-axis)


CTC 38 77 19 14 --- --- --- --- 148

19 38 10 8 --- --- --- --- 75

Takenaka 37 74 18 18 38 17 39 18 259

18 36 9 9 20 --- 20 --- 112


Table 4-2 Method 2b, Case2 (Step Sine 50 Gal, Y-axis)


CTC 38 74 18 15 --- --- --- --- 145

19 37 9 7 --- --- --- --- 72

Takenaka 38 73 19 17 38 18 40 18 261

19 37 9 9 20 --- 20 --- 114


Table 4-3 Method 2b, Case3 (JR Takatori 50%)


CTC 39 78 20 17 --- --- --- --- 154

Takenaka 36 74 19 14 40 17 40 18 258









- 7 -

Method 3: Arias Intensity

𝑟𝜀 = (𝐼𝐴𝑡 − 𝐼𝐴𝑎) 𝐼𝐴𝑡⁄ × 100, 𝐼𝐴 = 𝜋 2𝑔⁄ ∫ (𝑎)2𝑇

0𝑑𝑡

𝑟𝜀: Rate of Error (%), 𝐼𝐴𝑡: Arias Intensity calculated from test, 𝐼𝐴𝑎: Arias Intensity calculated from analysis, 𝐼𝐴:

Arias Intensity, 𝑔: gravity, 𝑇: Duration of acceleration, 𝑎: acceleration time history.

Table 5-1 Method 3, Case1 (Step Sine 50 Gal, X-axis)


CTC 16 24 18 --- --- --- --- --- 58

10 18 10 --- --- --- --- --- 38

Takenaka 8 14 10 --- 28 --- 28 --- 88

6 12 7 --- 20 --- 20 --- 65


Table 5-2 Method 3, Case2 (Step Sine 50 Gal, Y-axis)


CTC 14 29 17 --- --- --- --- --- 60

8 18 9 --- --- --- --- --- 35

Takenaka 7 14 12 --- 31 --- 32 --- 96

5 11 7 --- 20 --- 20 --- 63


Table 5-3 Method 3, Case3 (JR Takatori 50%)


CTC 20 37 20 --- --- --- --- --- 77

Takenaka 18 28 17 --- 37 --- 37 --- 137









- 8 -

Method 4a: Fourier Spectrum with Simple difference

𝑟𝜀 =∑|𝑓𝑡𝑖 − 𝑓𝑎𝑖|

𝑁𝑖

|𝑓𝑡|max⁄ × 100

𝑟𝜀: Rate of Error (%), 𝑓𝑡𝑖: Fourier spectrum in Experiment at ith

frequency, 𝑓𝑎𝑖: Fourier spectrum in analysis at ith

frequency, 𝑁: Number of data. Note: |𝑓𝑡|max is the maximum Fourier spectrum in a range between 0.5 and 20 Hz

in order to eliminate gradual increase of residual displacement / strain.

Table 6-1 Method 4a, Case1 (Step Sine 50 Gal, X-axis)


CTC 31 67 17 14 --- --- --- --- 129

18 40 10 9 --- --- --- --- 77

Takenaka 28 58 16 15 37 13 35 12 214

16 33 9 8 20 --- 20 --- 106


Table 6-2 Method 4a, Case2 (Step Sine 50 Gal, Y-axis)


CTC 31 66 17 15 --- --- --- --- 129

18 36 10 8 --- --- --- --- 72

Takenaka 27 56 16 15 37 15 37 14 217

15 31 9 8 20 --- 20 --- 103


Table 6-3 Method 4a, Case3 (JR Takatori 50%)


CTC 39 78 20 13 --- --- --- --- 150

Takenaka 37 75 20 12 40 17 40 18 259









- 9 -

Method 4b: Fourier Spectrum with RMS

𝑟𝜀 = √∑(𝑓𝑡𝑖 − 𝑓𝑎𝑖)2

𝑖

𝑁 |𝑓𝑡|max⁄⁄ × 100

𝑟𝜀: Rate of Error (%), 𝑓𝑡𝑖: Fourier spectrum in Experiment at ith

frequency, 𝑓𝑎𝑖: Fourier spectrum in analysis at ith

frequency, 𝑁: Number of data. Note: |𝑓𝑡|max is the maximum Fourier spectrum in a range between 0.5 and 20 Hz

in order to eliminate gradual increase of residual displacement / strain.

Table 7-1 Method 4b, Case1 (Step Sine 50 Gal, X-axis)


CTC 36 74 18 16 --- --- --- --- 144

19 40 10 9 --- --- --- --- 78

Takenaka 36 71 19 17 39 16 38 15 251

19 38 10 9 20 --- 20 --- 116


Table 7-2 Method 4b, Case2 (Step Sine 50 Gal, Y-axis)


CTC 35 72 18 15 --- --- --- --- 140

20 40 10 9 --- --- --- --- 79

Takenaka 34 66 19 13 40 14 39 16 241

18 36 10 7 20 --- 20 --- 111


Table 7-3 Method 4b, Case3 (JR Takatori 50%)


CTC 39 76 20 11 --- --- --- --- 146

Takenaka 38 76 20 11 40 16 40 19 260









- 10 -

Total Evaluation Result

Most of the evaluation methods show the same tendency as follows;

The acceleration time histories in the results of both the teams show great agreements with the test results.

In the displacement time histories, Team CTC gives better numerical results. The results submitted from

Team Takenaka show very small displacements.

Comparing the experimental and numerical results in the items (a) through (d), behaviors of the vertical

shafts and the cut-and-cover tunnel, Team CTC provides the results with higher agreement than Team

Takenaka.

Adding the scores for the items (e) through (h), behaviors of the shield tunnels, Team Takenaka becomes a

higher score holder.

If a difference of scores between the teams is minor, the evaluation method needs to be selected more

seriously, but the difference is not minor. Therefore, it is clear that Team Takenaka is the 1st team even

though each evaluation method has some faults.

1st

Team Takenaka

2nd

Team CTC

Appendix A

Score Sheet

Score Sheet

Team CTC

Case1 Step Sine 50 Gal in X-axis

Team: CTC 1/2Case: 1

Test Analysis Test Analysis1.019 1.003

-0.902 -1.0110.253 0.144

-0.232 -0.1281.393 0.826

-1.902 -1.0590.686 0.060

-0.662 -0.0591.169 1.029

-1.056 -1.0470.643 0.157

-0.739 -0.1770.803 1.100

-1.460 -1.2050.190 0.055

-0.219 -0.1031.188 1.040

-1.077 -1.0430.866 0.173

-0.607 -0.1560.856 1.097

-1.410 -1.2620.457 0.123

-0.358 -0.0450.838 0.777

-0.778 -0.7800.115 0.090

-0.137 -0.0850.043 0.005

-0.016 -0.0090.025 0.010

-0.009 -0.039

: Less reliable results with Noise

-0.035

0.045

-0.110

0.076

-0.481

0.204

-0.032

0.004 -0.022

-0.002

0.095

-0.056

0.027

※Displacement time histories are zero-initialized at 0 sec. subtracting average of the first 0.1 sec. data fromall the data.

Displacement @Flexible Joint

X

Y

---

---

---

---

---

---

-0.539

Displacement @Shaft (F)

X

Y

X

Y

Acceleration @C&C Tunnel

Displacement @Shaft (R)

X

Y

Acceleration @Shaft (F)

X

Y

---

---

Acceleration @Shaft (R)

X

Y

-0.424

0.315

Direction

Acceleration @Ground surface

X

Y

Displacement @Ground surface

X

Y

Evaluation: Method 1, Max/Min, Residual

a

b

c

d

Maximum/Minimum Redisual

Team: CTCCase: 1

Difference (%) Score Difference (%) Score (1) (2)-1.66 1012.07 8

-43.21 4-44.78 4-40.72 4-44.32 4-91.25 1-91.13 1-11.99 8-0.78 10

-75.59 2-76.11 237.13 5

-17.46 7-71.31 2-52.82 3-12.44 8-3.16 10

-80.04 1-74.32 228.14 6

-10.48 8-72.99 2-87.41 1-7.29 90.22 10

-21.98 6-38.12 5-87.91 1-45.54 4-59.94 3345.75 0

: Less reliable results with Noise (1) Total of all results(2) Total of reliable results

Y

-88.37


X

Y


X

Y


X ---

Y ---

-53.52

-92.97

-641.11 0

1

3

1

---

2

1


X

Y


X ---

Y ---

1

-74.10 2

-85.58

-93.58

-64.81


X

Y


X ---



X ---

Y ---

Direction

2/2


162117

28

64

19

6

a

b

c

d 9

30

84

39

Subtotal

Team: CTCCase: 1Evaluation: Method 2a, Time Histories with difference (= abs [Test - Analysis])

(1) (2)X 331.267 0.158 1.019 15.473 7Y 117.086 0.056 0.253 22.044 6X 609.905 0.290 1.902 15.271 7Y 216.527 0.103 0.686 15.038 7X 379.046 0.180 1.169 15.439 7Y 207.130 0.099 0.739 13.343 8X 479.690 0.228 1.460 15.650 7Y 122.455 0.058 0.219 26.628 6X 378.770 0.180 1.188 15.184 7Y 212.827 0.101 0.866 11.703 8X 464.131 0.221 1.410 15.679 7Y 141.023 0.067 0.457 14.710 8X 245.346 0.117 0.838 13.948 8Y 68.530 0.033 0.137 23.852 6X 32.140 0.015 0.043 35.417 5Y 41.519 0.020 0.025 79.355 2


※Displacement time histories are zero-initialized at 0 sec. subtracting average of the first 0.1 sec. data from all the data.









5

Total Difference Difference/data Max. Response DifferenceRate (%) Score

Subtotal

106

Direction

55

a

b

c

d

(1) Total - All

27 14

58 28

14

(2) Total - Reliable Data Only

8

7

Team: CTCCase: 1Evaluation: Method 2b, Time Histories with difference (= RMS)




Subtotal

a


38 19Displacement @Ground surface

Direction Total Difference Difference/data Max. Response DifferenceRate (%) Score

b


77 38




(1) Total - All 148(2) Total - Reliable Data Only 75

c Acceleration @C&C Tunnel 19 10

d Displacement @Flexible Joint 14 8

Team: CTCCase: 1Evaluation: Method 3, Arias Intensity

(1) (2)X 0.323 0.310 3.936 10Y 0.043 0.034 21.335 6X --- --- --- ---Y --- --- --- ---X 0.350 0.325 7.042 9Y 0.094 0.040 56.984 3X --- --- --- ---Y --- --- --- ---X 0.354 0.325 8.016 9Y 0.095 0.040 58.266 3X --- --- --- ---Y --- --- --- ---X 0.294 0.280 4.767 10Y 0.021 0.023 11.596 8X --- --- --- ---Y --- --- --- ---

: Less reliable results with Noise(1) Total - All 58

(2) Total - Reliable Data Only 38


d Displacement @Flexible Joint --- ---

b


24 18




Subtotal

a



Direction AI Experiment AI Analysis DifferenceRate (%) Score

Team: CTCCase: 1Evaluation: Method 4a, Fourier Spectrum with difference (= abs [Test - Analysis])



※Max. Spec. herein is "the maximum spectrum in frequency range from 0.5 to 20 Hz.

Subtotal

c

d

67

17

14




Score

a

b






31 18

40

10

9


Total Difference Difference/data Max. Spec. DifferenceRate (%)Direction

Team: CTCCase: 1Evaluation: Method 4b, Fourier Spectrum with difference (= RMS)




Subtotal

a



Direction Total Difference Difference/data Max. Spec. DifferenceRate (%) Score

b


74 40







Score Sheet

Team CTC

Case2 Step Sine 50 Gal in Y-axis



-0.231 -0.1331.132 1.036

-1.178 -1.0400.504 0.067

-1.252 -0.0781.268 1.099

-1.567 -1.3090.419 0.364

-0.362 -0.3711.290 1.266

-1.574 -1.2740.155 0.219

-0.867 -0.2131.308 1.494

-1.259 -1.6810.435 0.314

-0.390 -0.3091.495 1.260

-1.548 -1.2690.141 0.162

-0.698 -0.1661.474 1.412

-1.421 -1.8120.135 0.093

-0.109 -0.0970.858 0.968

-0.848 -0.8930.004 0.004

-0.235 0.0000.020 0.041

-0.070 -0.001


-0.017

-0.042

-0.027

0.099

-0.596

0.127

-0.290

-0.077 0.028

0.003

-0.121

-0.027

-0.017



X

Y

---

---

---

---

---

---

-0.729


X

Y

X

Y



X

Y


X

Y

---

---


X

Y

-0.750

-0.366

Direction


X

Y


X

Y


a

b

c

d


Team: CTCCase: 2

Difference (%) Score Difference (%) Score (1) (2)-56.89 3-42.39 4-8.47 9

-11.70 8-86.64 1-93.80 1-13.35 8-16.49 7-12.99 8

2.62 10-1.87 10

-19.05 741.21 4

-75.46 214.16 833.54 5

-27.94 6-20.63 6-15.76 7-18.03 714.74 8

-76.14 2-4.21 1027.52 6

-31.38 5-11.70 812.83 85.38 97.03 9

-99.91 1103.72 0-99.17 1

: Less reliable results with Noise (1) Total of all results(2) Total of reliable results

Y

-95.48


X

Y


X

Y


X ---

Y ---

-195.24

-100.89

-136.29 0

0

0

1

---

0

1


X

Y


X ---

Y ---

1

-96.46 1

-88.48

-97.68

-117.05


X

Y


X ---



X ---

Y ---

Direction

2/2


192111

33

60

17

1

a

b

c

d 11

30

108

43

Subtotal













3


Subtotal

100

Direction

52

a

b

c

d

(1) Total - All

28 15

52 27

13


7

7





Subtotal

a




b


74 37









: Less reliable results with Noise (2) Total - Reliable Data Only 35






(1) Total - All 60

※Displacement time histories are zero-initialized at 0 sec. substracting average of the first 0.1 sec. data from all the data.

Subtotal

a




b


29 18





Subtotal

c

d

66

17

15




Score

a

b






31 18

36

10

8







Subtotal

a




b


72 40







Score Sheet

Team CTC

Case3 JR Takatori 50%



-4.439 -5.2624.364 4.177

-4.525 -4.37626.672 28.248

-53.431 -30.11733.968 24.421

-28.112 -23.9485.497 6.277

-6.508 -6.8415.371 5.256

-5.502 -6.02628.909 35.639

-68.054 -32.41244.890 31.735

-31.343 -29.2906.074 6.122

-6.922 -6.6015.870 5.101

-5.401 -6.04627.773 34.888

-65.535 -34.00740.182 31.330

-32.909 -28.7453.618 4.049

-3.675 -4.4053.922 3.925

-3.797 -4.3122.035 4.194

-2.434 -6.8392.933 0.745

-0.183 -0.730


a

b

c

d


---

---


X

Y

-31.851

5.319

Direction


X

Y


X

Y

---

-43.654


X

Y

X

Y



X

Y


X

Y

-0.817

3.825

-3.948

11.827

-38.409

6.735

-1.909

2.804 0.309

-3.125

2.668

-0.603

3.239



X

Y

---

---

---

---

---

Team: CTCCase: 3

Difference (%) Score Difference (%) Score (1) (2)17.30 718.56 7-4.27 10-3.28 105.91 9

-43.63 4-28.11 6-14.81 814.19 85.11 9

-2.14 109.52 9

23.28 6-52.37 3-29.30 6-6.55 90.79 10

-4.63 10-13.09 811.94 825.62 6

-48.11 4-22.03 6-12.65 811.93 819.86 70.09 10

13.57 8106.10 0180.96 0-74.59 2298.06 0

(1) Total of all results(2) Total of reliable results

2/2


232---

---

---

---

---

a

b

c

d 5

33

126

68

SubtotalMaximum/Minimum Redisual


X ---

Y ---

Direction

---

2

1


X

Y


X ---

Y ---

6

-87.61 1

-28.09

-98.13

-72.61


X

Y


X ---

-98.43


X

Y


X

Y


X ---

Y ---

-60.39

63.71

-88.97 1

2

2

1

Y


(1) (2)X 702.987 0.172 4.439 3.867 10Y 1,049.659 0.256 4.525 5.664 9X 97,605.929 23.830 53.431 44.598 4Y 9,739.589 2.378 33.968 7.000 9X 774.652 0.189 6.508 2.906 10Y 913.991 0.223 5.502 4.056 10X 151039.354 36.875 68.054 54.185 3Y 34129.636 8.332 44.890 18.562 7X 778.243 0.190 6.922 2.745 10Y 962.079 0.235 5.870 4.002 10X 132934.335 32.455 65.535 49.522 4Y 19271.463 4.705 40.182 11.709 8X 516.238 0.126 3.675 3.430 10Y 659.366 0.161 3.922 4.105 10X 5235.732 1.278 2.434 52.511 3Y 8748.167 2.136 2.933 72.807 2


119

Direction

---

a

b

c

d

(1) Total - All

32 ---

62 ---

20


---

5 ---


Subtotal










(1) (2)X 20.276 0.005 4.439 0.112 10Y 24.451 0.006 4.525 0.132 10X 1,626.128 0.397 53.431 0.743 9Y 208.821 0.051 33.968 0.150 10X 20.833 0.005 6.508 0.078 10Y 23.414 0.006 5.502 0.104 10X 2511.684 0.613 68.054 0.901 9Y 584.738 0.143 44.890 0.318 10X 19.962 0.005 6.922 0.070 10Y 24.174 0.006 5.870 0.101 10X 2215.014 0.541 65.535 0.825 9Y 351.552 0.086 40.182 0.214 10X 14.056 0.003 3.675 0.093 10Y 16.516 0.004 3.922 0.103 10X 93.600 0.023 2.434 0.939 9Y 145.742 0.036 2.933 1.213 8


Subtotal

a


39 ---Displacement @Ground surface


b


78 ---




(1) Total - All 154(2) Total - Reliable Data Only ---

c Acceleration @C&C Tunnel 20 ---

d Displacement @Flexible Joint 17 ---



Subtotal

a




b


37 ---








(1) (2)X 139.983 0.086 3.878 2.212 10Y 131.183 0.080 3.725 2.158 10X 3,188.773 1.954 34.670 5.636 9Y 835.508 0.512 31.188 1.642 10X 114.328 0.070 4.153 1.687 10Y 123.513 0.076 3.852 1.965 10X 4278.723 2.622 39.933 6.565 9Y 1099.408 0.674 38.352 1.757 10X 125.738 0.077 4.074 1.891 10Y 114.870 0.070 3.893 1.808 10X 3863.859 2.368 44.415 5.331 9Y 911.003 0.558 38.034 1.468 10X 76.278 0.047 3.936 1.187 10Y 78.033 0.048 3.647 1.311 10X 360.207 0.221 0.856 25.786 6Y 258.639 0.158 0.954 16.620 7





39 ---

---

---

---

Subtotal

c

d

78

20

13




Score

a

b








Subtotal

a




b


76 ---







Score Sheet

Team Takenaka


Team: Takenaka 1/4Case: 1


-0.902 -0.6900.253 0.049

-0.232 -0.0431.393 0.676

-1.902 -0.6180.686 0.039

-0.662 -0.0321.169 0.686

-1.056 -0.6510.643 0.052

-0.739 -0.0490.803 0.549

-1.460 -0.5240.190 0.037

-0.219 -0.0471.188 0.751

-1.077 -0.7190.866 0.058

-0.607 -0.0530.856 0.772

-1.410 -0.7320.457 0.034

-0.358 -0.0560.838 0.690

-0.778 -0.6600.115 0.044

-0.137 -0.0390.043 0.006

-0.016 -0.0060.025 0.005

-0.009 0.000




X ---

Y ---

Y ---

Y 0.315 -0.002


X ---


X -0.424 0.027

Y 0.076 -0.010


X -0.539 0.002


X ---

Y ---

Y 0.204 0.013


X -0.481 0.004

Y 0.004 0.001

X -0.032 0.006


b

c

d

Direction



X ---

Y ---


a



-0.577 -0.6050.056 0.035

-0.086 -0.0360.593 0.615

-0.567 -0.5990.057 0.039

-0.065 -0.04213.487 17.755

--- ---14.002 15.351

--- ---0.600 0.620

-0.577 -0.6040.056 0.035

-0.086 -0.0360.593 0.616

-0.567 -0.5990.057 0.036

-0.065 -0.0410.021 0.001

-0.051 -0.0010.035 0.000

-0.015 0.000


Maximum/Minimum RedisualDirection

Acceleration @Shield Tunnel

(R) in Sand

X ---

Y ---

Acceleration @Shield Tunnel(R) in Cement

X

Y

---

---

Bending Strain@

Shield Tunnel(R)

Horizontal

Vertical

13.709 2.988

9.312 10.562

Acceleration @Shield Tunnel(F) in Cement

X ---


(F) in Sand

X

Y ---

Y

---

---

Z 0.021 0.000

※Displacement and bending strain time histories are zero-initialized at 0 sec. subtracting average of thefirst 0.1 sec. data from all the data.

Displacement @FlexibleSegment

Y -0.061 -0.002

※f) Bending strains are absolute values, and therefore, minimum strain is ignored for grading.


h

g

f

e

Team: TakenakaCase: 1

Difference (%) Score Difference (%) Score (1) (2)-29.63 6-23.44 6-80.56 1-81.53 1-51.46 3-67.53 2-94.31 1-95.17 1-41.31 4-38.30 5-91.89 1-93.43 1-31.57 5-64.10 2-80.38 1-78.68 2-36.78 5-33.29 5-93.28 1-91.19 1

-9.85 9-48.09 4-92.59 1-84.47 1-17.57 7-15.24 7-62.24 2-71.84 2-85.03 1-63.44 2-80.94 1-96.23 1

: Less reliable results with Noise (1)-1 Total of all above results(2)-1 Total of above reliable results



X ---

Y ---

---

Y ---

-106.35 0

Y -100.50 0


X


X

-100.34 0

Y -113.60 0


X


X ---

Y ---

-100.89 0

Y -93.65 1


X

-118.04 0

Y -82.64 1


X

Direction

21 17

49 39

18 14

6 3


X ---

Y ---

9473


3/4

Subtotal

a

b

c

d


Difference (%) Score Difference (%) Score (1) (2)3.35 104.85 10

-37.97 5-57.98 3

3.68 105.59 9

-31.72 5-36.41 531.65 5

--- ---9.63 9

--- ---3.33 104.72 10

-38.33 5-58.53 3

3.80 105.56 9

-36.74 5-37.73 5-93.88 1-98.57 1-99.27 1-98.34 1


(1)-1 + (1)-2 Total of all results

(2)-1 + (2)-2 Total of reliable results



(R) in Sand

X ---

Y ---

-78.21 2

13.42 8


X

Y

---

---

Bending Strain@

Shield Tunnel(R)

Horizontal

Vertical


X


(F) in Sand

---

Y ---

X

Y

---

---

-97.49 1

Z -101.48 0


Y


Subtotal

143

4/4

e

f

g

h

237

151

78

57 39

24 ---

57 39

---5

Team: TakenakaCase: 1Evaluation: Method 2a, Time Histories with difference (= abs [Test - Analysis])

(1) (2)X 388.652 0.185 1.019 18.154 7Y 102.083 0.049 0.253 19.220 7X 692.913 0.330 1.902 17.349 7Y 216.754 0.103 0.686 15.053 7X 459.758 0.219 1.169 18.726 7Y 195.334 0.093 0.739 12.583 8X 661.873 0.315 1.460 21.593 6Y 113.718 0.054 0.219 24.728 6X 481.375 0.229 1.188 19.297 7Y 201.910 0.096 0.866 11.103 8X 605.818 0.288 1.410 20.466 6Y 168.565 0.080 0.457 17.583 7X 324.803 0.155 0.838 18.465 7Y 56.164 0.027 0.137 19.548 7X 30.883 0.015 0.043 34.031 5Y 12.079 0.006 0.025 23.086 6X 70.808 0.034 0.600 5.621 9Y 40.614 0.019 0.086 22.500 6X 69.157 0.033 0.593 5.549 9Y 31.806 0.015 0.065 23.189 6

Hor. 11495.634 5.474 13.487 40.588 4Ver. 9479.236 4.514 14.002 32.237 5

X 75.340 0.036 0.600 5.980 9Y 28.459 0.014 0.086 15.766 7X 73.009 0.035 0.593 5.858 9Y 30.477 0.015 0.065 22.220 6Y 33.882 0.016 0.051 31.727 5Z 25.776 0.012 0.035 35.112 5


※Displacement and bending strain time histories are zero-initialized at 0 sec. subtracting average of the first 0.1 sec. data from all the data

Displacement @Flexible Segment




Acc. @ ShieldTunnel (R) in Sand

Acc. @ ShieldTunnel (R) in

Cement

Acc. @ ShieldTunnel (F) in Sand

Acc. @ ShieldTunnel (F) in

Cement

Bending Strain @Shield Tunnel (R)







Subtotal

(1) Total - All 188

31

10

14

26

7

5

18

---

18

---


a

b

c

d

e

g

f

h

28

55

14

11

30

9

Team: TakenakaCase: 1Evaluation: Method 2b, Time Histories with difference (= RMS)


Hor. 302.139 0.144 13.487 1.067 8Ver. 271.049 0.129 14.002 0.922 9

X 2.066 0.001 0.600 0.164 10Y 0.776 0.000 0.086 0.430 10X 1.990 0.001 0.593 0.160 10Y 0.833 0.000 0.065 0.607 9Y 0.993 0.000 0.051 0.929 9Z 0.693 0.000 0.035 0.944 9





Cement













Cement

DifferenceRate (%) Score

Subtotal

a

b

Direction Total Difference Difference/data Max. Response

c

d

e

f

g

h

37 18

74 36

18 9

18 9

38 20

17 ---

39 20

18 ---

259112

(1) Total - All(2) Total - Reliable Data Only

Team: TakenakaCase: 1Evaluation: Method 3, Arias Intensity

(1) (2)X 0.323 0.252 21.800 6Y 0.043 0.011 74.431 2X --- --- --- ---Y --- --- --- ---X 0.350 0.249 28.770 6Y 0.094 0.012 87.548 1X --- --- --- ---Y --- --- --- ---X 0.354 0.261 26.229 6Y 0.095 0.013 86.482 1X --- --- --- ---Y --- --- --- ---X 0.294 0.245 16.548 7Y 0.021 0.010 51.871 3X --- --- --- ---Y --- --- --- ---X 0.210 0.216 3.069 10Y 0.017 0.008 55.633 3X 0.207 0.214 2.942 10Y 0.014 0.008 39.594 5

Hor. --- --- --- ---Ver. --- --- --- ---

X 0.211 0.216 2.753 10Y 0.014 0.008 44.537 4X 0.207 0.214 3.275 10Y 0.014 0.008 43.552 4Y --- --- --- ---Z --- --- --- ---


Subtotal

a




b


14 12




f Bending Strain @Shield Tunnel (R) --- ---



e


28 20Acc. @ ShieldTunnel (R) in

Cement


h Displacement @Flexible Segment --- ---

g


28 20Acc. @ ShieldTunnel (F) in

Cement

Team: TakenakaCase: 1Evaluation: Method 4a, Fourier Spectrum with difference (= abs [Test - Analysis])


Hor. 1212.107 1.487 3.876 38.375 5Ver. 552.805 0.678 5.828 11.638 8

X 8.229 0.010 1.040 0.971 10Y 3.548 0.004 0.022 19.858 7X 7.131 0.009 1.032 0.848 10Y 3.116 0.004 0.026 14.598 8Y 3.227 0.004 0.019 20.338 6Z 4.087 0.005 0.023 22.183 6



Max. Spec. DifferenceRate (%)










Cement


Direction Total Difference Difference/data



Cement


Subtotal


Score

12 ---

8

37 20

13 ---

35 20

f

g

h

28 16

58 33

16 9

15

a

b

c

d

e


Team: TakenakaCase: 1Evaluation: Method 4b, Fourier Spectrum with difference (= RMS)


Hor. 60.786 0.075 3.876 1.924 7Ver. 41.290 0.051 5.828 0.869 9

X 0.473 0.001 1.040 0.056 10Y 0.163 0.000 0.022 0.915 9X 0.416 0.001 1.032 0.049 10Y 0.169 0.000 0.026 0.790 9Y 0.299 0.000 0.019 1.887 7Z 0.221 0.000 0.023 1.201 8



h Displacement @Flexible Segment 15 ---

g



Cement


Cement


f Bending Strain @Shield Tunnel (R) 16 ---



e


39 20

b


71 38




Subtotal

a




Score Sheet

Team Takenaka




-0.231 -0.0521.132 0.786

-1.178 -0.8170.504 0.028

-1.252 -0.0221.268 0.587

-1.567 -0.5490.419 0.056

-0.362 -0.0561.290 0.786

-1.574 -0.8400.155 0.029

-0.867 -0.0211.308 0.598

-1.259 -0.5360.435 0.066

-0.390 -0.0681.495 0.807

-1.548 -0.8570.141 0.035

-0.698 -0.0291.474 0.643

-1.421 -0.5870.135 0.049

-0.109 -0.0500.858 0.764

-0.848 -0.8040.004 0.001

-0.235 -0.0010.020 0.019

-0.070 -0.019



a

b

c

d

Direction



X ---

Y ---

Y -0.077 0.002

X -0.290 -0.007


Y 0.127 0.007


X -0.596 -0.011


X ---

Y ---

Y 0.099 -0.051


X -0.729 0.007


X ---


X -0.750 0.003

Y ---

Y -0.366 -0.002



X ---

Y ---



-0.045 -0.0430.679 0.697

-0.706 -0.7300.055 0.043

-0.048 -0.0460.656 0.678

-0.680 -0.7116.082 2.348

--- ---5.758 0.583

--- ---0.057 0.038

-0.045 -0.0430.679 0.698

-0.706 -0.7290.055 0.043

-0.048 -0.0460.656 0.678

-0.680 -0.7110.112 0.000

-0.048 0.0000.097 0.001

-0.054 -0.001



h

g

f

e

Z 0.067 0.000



Y 0.034 0.001



X ---


(F) in Sand

X

Y ---

Y

---

---


X

Y

---

---

Bending Strain@

Shield Tunnel(R)

Horizontal

Vertical

2.789 0.201

6.900 0.147


(R) in Sand

X ---

Y ---



Difference (%) Score Difference (%) Score (1) (2)-83.74 1-77.42 2-30.60 5-30.64 5-94.42 1-98.27 1-53.72 3-64.97 2-86.56 1-84.52 1-39.05 5-46.62 4-81.38 1-97.63 1-54.28 3-57.46 3-84.84 1-82.58 1-46.01 4-44.60 4-75.41 2-95.88 1-56.39 3-58.71 3-63.79 2-54.64 3-10.96 8

-5.19 9-72.51 2-99.64 1

-3.97 10-72.93 2


9975


3/4

Subtotal

a

b

c

d

Direction

21 16

40 30

22 17

16 12


X ---

Y ---

-97.44 1

Y -103.11 0


X

-98.23 1

Y -94.69 1


X


X ---

Y ---

-100.98 0

Y -151.07 0


X


X


X

---

Y ---

-100.37 0

Y -99.48 1



X ---

Y ---


Difference (%) Score Difference (%) Score (1) (2)-34.78 5

-5.10 92.71 103.34 10

-21.43 6-3.05 103.50 104.57 10

-61.40 2--- ---

-89.88 1--- ---

-33.52 5-4.88 102.81 103.29 10

-21.09 6-2.94 103.47 104.56 10

-99.58 1-99.97 1-99.08 1-98.39 1




250

155

80

70 40

5 ---

71 40

---5


Subtotal

151

4/4

e

f

g

h-95.80 1

Z -100.04 0


Y


X


(F) in Sand

---

Y ---

X

Y

---

---

-92.79 1

-97.87 1


X

Y

---

---

Bending Strain@

Shield Tunnel(R)

Horizontal

Vertical


(R) in Sand

X ---

Y ---




Hor. 3353.706 1.597 6.082 26.256 6Ver. 3183.435 1.516 5.758 26.326 6

X 18.130 0.009 0.057 15.157 7Y 69.259 0.033 0.706 4.670 10X 17.143 0.008 0.055 14.812 8Y 54.934 0.026 0.680 3.849 10Y 79.830 0.038 0.112 33.800 5Z 65.401 0.031 0.097 32.091 5




a

b

c

d

e

g

f

h

27

53

14

10

32

12

ScoreSubtotal

(1) Total - All 193

35

10

13

27

7

6

20

---

20

---

Direction Total Difference Difference/data Max. Response DifferenceRate (%)












Cement



Cement




Hor. 97.150 0.046 6.082 0.761 9Ver. 99.896 0.048 5.758 0.826 9

X 0.503 0.000 0.057 0.421 10Y 2.104 0.001 0.706 0.142 10X 0.468 0.000 0.055 0.405 10Y 1.521 0.001 0.680 0.107 10Y 2.256 0.001 0.112 0.955 9Z 1.812 0.001 0.097 0.889 9




g



Cement


Cement





e


38 20

b


73 37




Subtotal

a






Hor. --- --- --- ---Ver. --- --- --- ---

X 0.011 0.009 24.209 6Y 0.210 0.218 3.545 10X 0.012 0.009 24.042 6Y 0.206 0.214 3.683 10Y --- --- --- ---Z --- --- --- ---



g



Cement


Cement





e


31 20

b


14 11




Subtotal

a






Hor. 351.500 0.431 3.017 14.294 8Ver. 209.548 0.257 1.494 17.206 7

X 1.998 0.002 0.019 12.686 8Y 12.320 0.015 0.977 1.548 10X 1.769 0.002 0.028 7.648 9Y 8.148 0.010 0.978 1.023 10Y 12.165 0.015 0.090 16.532 7Z 11.881 0.015 0.085 17.206 7



f

g

h

27 15

56 31

16 9

15

a

b

c

d

e


Subtotal


Score

14 ---

8

37 20

15 ---


Cement





Cement













Hor. 26.452 0.032 3.017 1.076 8Ver. 27.696 0.034 1.494 2.274 6

X 0.096 0.000 0.019 0.607 9Y 0.733 0.001 0.977 0.092 10X 0.088 0.000 0.028 0.380 10Y 0.471 0.001 0.978 0.059 10Y 0.822 0.001 0.090 1.117 8Z 0.745 0.001 0.085 1.079 8




g



Cement


Cement





e


40 20

b


66 36




Subtotal

a




Score Sheet

Team Takenaka




-4.439 -7.2044.364 3.585

-4.525 -3.45926.672 3.922

-53.431 -3.57333.968 3.171

-28.112 -2.3085.497 8.782

-6.508 -12.0565.371 3.986

-5.502 -3.49328.909 3.580

-68.054 -1.60244.890 4.783

-31.343 -1.9076.074 6.827

-6.922 -8.0605.870 3.576

-5.401 -3.53027.773 4.579

-65.535 -4.17640.182 4.306

-32.909 -2.0603.618 5.636

-3.675 -6.7213.922 3.386

-3.797 -3.3672.035 0.392

-2.434 -0.0552.933 0.034

-0.183 -0.382


a

b

c

d

Direction



X ---

Y ---

Y 2.804 0.379

X -1.909 -0.006


Y 6.735 0.671


X -38.409 -0.004


X ---

Y ---

Y 11.827 3.580


X -43.654 3.148


X ---


X -31.851 0.720

Y ---

Y 5.319 1.136



X ---

Y ---



-3.835 -4.1453.086 3.173

-2.875 -3.0273.444 3.741

-3.619 -3.8463.177 3.112

-2.767 -3.03187.118 111.145

--- ---284.978 66.525

--- ---3.422 3.969

-3.835 -4.1203.086 3.180

-2.875 -3.0263.444 3.745

-3.619 -3.8663.177 3.113

-2.767 -3.0292.060 0.002

-1.753 -0.0022.859 0.006

-2.557 -0.003


h

g

f

e

Z 0.838 0.003



Y -0.310 0.001



X ---


(F) in Sand

X

Y ---

Y

---

---


X

Y

---

---

Bending Strain@

Shield Tunnel(R)

Horizontal

Vertical

19.231 13.598

209.037 5.485


(R) in Sand

X ---

Y ---



Difference (%) Score Difference (%) Score (1) (2)52.15 362.30 2

-17.85 7-23.54 6-85.30 1-93.31 1-90.67 1-91.79 159.75 385.24 1

-25.79 6-36.51 5-87.62 1-97.65 1-89.35 1-93.92 112.40 816.45 7

-39.08 5-34.64 5-83.51 1-93.63 1-89.28 1-93.74 155.80 382.90 1

-13.67 8-11.32 8-80.73 1-97.76 1-98.85 1108.38 0

(1)-1 Total of all above results(2)-1 Total of above reliable results

101---


3/4

Subtotal

a

b

c

d

Direction

24 ---

52 ---

20 ---

5 ---


X ---

Y ---

-99.66 1

Y -86.47 1


X

-99.99 1

Y -90.04 1


X


X ---

Y ---

-107.21 0

Y -69.73 2


X


X


X

---

Y ---

-102.26 0

Y -78.65 2



X ---

Y ---


Difference (%) Score Difference (%) Score (1) (2)15.52 7

8.08 92.81 105.29 98.64 96.29 9

-2.06 109.56 9

27.58 6--- ---

-76.66 2--- ---

16.00 77.44 93.04 105.23 98.76 96.82 9

-2.01 109.50 9

-99.90 1-99.88 1-99.80 1-99.87 1

(1)-2 Total of all above results(2)-2 Total of above reliable results



265

---

---

72 ---

15 ---

72 ---

---5


Subtotal

164

4/4

e

f

g

h-100.20 0

Z -99.67 1


Y


X


(F) in Sand

---

Y ---

X

Y

---

---

-29.29 6

-97.38 1


X

Y

---

---

Bending Strain@

Shield Tunnel(R)

Horizontal

Vertical


(R) in Sand

X ---

Y ---



(1) (2)X 1,272.610 0.606 4.439 13.653 8Y 1,191.176 0.567 4.525 12.536 8X 52,316.963 24.913 53.431 46.626 4Y 12,313.419 5.864 33.968 17.262 7X 1369.634 0.652 6.508 10.021 8Y 1192.152 0.568 5.502 10.318 8X 74695.476 35.569 68.054 52.266 3Y 19019.510 9.057 44.890 20.176 6X 1451.529 0.691 6.922 9.986 9Y 1224.837 0.583 5.870 9.937 9X 62719.548 29.866 65.535 45.573 4Y 13254.868 6.312 40.182 15.708 7X 1049.387 0.500 3.675 13.598 8Y 909.172 0.433 3.922 11.040 8X 3640.070 1.733 2.434 71.207 2Y 4243.422 2.021 2.933 68.883 2X 150.493 0.072 3.835 1.869 10Y 226.577 0.108 3.086 3.496 10X 109.560 0.052 3.619 1.442 10Y 99.274 0.047 3.177 1.488 10

Hor. 25123.965 11.964 87.118 13.733 8Ver. 353213.279 168.197 284.978 59.021 3

X 198.503 0.095 3.835 2.465 10Y 131.566 0.063 3.086 2.030 10X 85.865 0.041 3.619 1.130 10Y 93.415 0.044 3.177 1.400 10Y 829.659 0.395 2.060 19.176 7Z 1590.351 0.757 2.859 26.489 6


(2) Total - Reliable Data Only ---

a

b

c

d

e

g

f

h

27

54

16

4

40

11

ScoreSubtotal

(1) Total - All 205

40

13

---

---

---

---

---

---

---

---

Direction Total Difference Difference/data Max. Response DifferenceRate (%)












Cement



Cement



(1) (2)X 61.791 0.029 4.439 0.663 9Y 46.679 0.022 4.525 0.491 10X 1,294.081 0.616 53.431 1.153 8Y 383.923 0.183 33.968 0.538 9X 66.390 0.032 6.508 0.486 10Y 49.279 0.023 5.502 0.426 10X 1838.581 0.876 68.054 1.287 8Y 533.677 0.254 44.890 0.566 9X 68.259 0.033 6.922 0.470 10Y 49.620 0.024 5.870 0.403 10X 1555.112 0.741 65.535 1.130 8Y 442.672 0.211 40.182 0.525 9X 51.290 0.024 3.675 0.665 9Y 38.116 0.018 3.922 0.463 10X 89.795 0.043 2.434 1.757 7Y 105.711 0.050 2.933 1.716 7X 5.932 0.003 3.835 0.074 10Y 6.181 0.003 3.086 0.095 10X 3.833 0.002 3.619 0.050 10Y 3.226 0.002 3.177 0.048 10

Hor. 922.440 0.439 87.118 0.504 9Ver. 8556.848 4.075 284.978 1.430 8

X 6.428 0.003 3.835 0.080 10Y 4.535 0.002 3.086 0.070 10X 3.190 0.002 3.619 0.042 10Y 2.857 0.001 3.177 0.043 10Y 25.860 0.012 2.060 0.598 9Z 42.500 0.020 2.859 0.708 9



g


40 ---Acc. @ ShieldTunnel (F) in

Cement


Cement





e


40 ---

b


74 ---




Subtotal

a






Hor. --- --- --- ---Ver. --- --- --- ---

X 0.621 0.660 6.268 9Y 0.597 0.631 5.599 9X 0.613 0.647 5.545 9Y 0.598 0.622 4.054 10Y --- --- --- ---Z --- --- --- ---


g



Cement


Cement





e


37 ---

b


28 ---




Subtotal

a





(1) (2)X 303.484 0.186 3.878 4.796 10Y 249.892 0.153 3.725 4.111 10X 5,879.358 3.603 34.670 10.391 8Y 3,523.167 2.159 31.188 6.922 9X 317.951 0.195 4.153 4.691 10Y 215.205 0.132 3.852 3.423 10X 7228.837 4.429 39.933 11.092 8Y 4269.984 2.616 38.352 6.822 9X 280.820 0.172 4.074 4.224 10Y 242.579 0.149 3.893 3.818 10X 6791.058 4.161 44.415 9.369 9Y 3949.355 2.420 38.034 6.363 9X 248.510 0.152 3.936 3.869 10Y 159.458 0.098 3.647 2.679 10X 316.466 0.194 0.856 22.654 6Y 335.298 0.205 0.954 21.547 6X 75.571 0.046 3.518 1.316 10Y 48.917 0.030 3.058 0.980 10X 42.686 0.026 3.514 0.744 10Y 28.534 0.017 3.073 0.569 10

Hor. 4651.074 2.850 38.153 7.470 9Ver. 10614.480 6.504 58.550 11.108 8

X 76.164 0.047 3.419 1.365 10Y 46.004 0.028 3.196 0.882 10X 42.263 0.026 3.347 0.774 10Y 29.341 0.018 3.225 0.558 10Y 250.977 0.154 2.094 7.346 9Z 347.821 0.213 2.834 7.521 9


f

g

h

37 ---

75 ---

20 ---

12

a

b

c

d

e


Subtotal


Score

18 ---

---

40 ---

17 ---


Cement





Cement













Hor. 177.487 0.109 38.153 0.285 10Ver. 2109.165 1.292 58.550 2.207 6

X 2.956 0.002 3.419 0.053 10Y 2.001 0.001 3.196 0.038 10X 1.562 0.001 3.347 0.029 10Y 1.181 0.001 3.225 0.022 10Y 16.194 0.010 2.094 0.474 10Z 25.672 0.016 2.834 0.555 9



g



Cement


Cement





e


40 ---

b


76 ---




Subtotal

a




Appendix B

Comparison of Test and Analysis


Time Histories


1/7

(a) Ground surface

Case: 1 (Step Sine 50Gal X-axis)

-2-1.5

-1-0.5

00.5

11.5

2

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)

Acceleration in X-axisTestAna: CTCAna: Take

-0.3

-0.2

-0.1

0

0.1

0.2

0.3

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)

Acceleration in Y-axisTestAna: CTCAna: Take

-2-1.5

-1-0.5

00.5

11.5

2

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)

Displacement in X-axisTestAna: CTCAna: Take

-0.8-0.6-0.4-0.2

00.20.40.60.8

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)

Displacement in Y-axisTestAna: CTCAna: Take

2/7

(b) Top of Vertical Shaft on Rigid Joint Side


-2-1.5

-1-0.5

00.5

11.5

2

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


-1-0.8-0.6-0.4-0.2

00.20.40.60.8

1

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


-2-1.5

-1-0.5

00.5

11.5

2

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)


-0.3

-0.2

-0.1

0

0.1

0.2

0.3

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)


3/7

(b) Top of Vertical Shaft on Flexible Joint Side


-2-1.5

-1-0.5

00.5

11.5

2

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


-0.8-0.6-0.4-0.2

00.20.40.60.8

1

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


-2-1.5

-1-0.5

00.5

11.5

2

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)


-0.4

-0.2

0

0.2

0.4

0.6

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)


4/7

(c) Cut-and-Cover Tunnel


(d) Flexible Joint

-1.5

-1

-0.5

0

0.5

1

1.5

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


-0.2

-0.1

0

0.1

0.2

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


-0.02

0

0.02

0.04

0.06

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)

Displacement in X-axis

TestAna: CTCAna: Take

-0.05-0.04-0.03-0.02-0.01

00.010.020.03

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)

Displacement in Y-axis


5/7Case: 1 (Step Sine 50Gal X-axis)

(e) Shield Tunnel (w/o flexible seg.) in C-mixed Sand

(e) Shield Tunnel (w/o flexible seg.) in Sand

-0.8-0.6-0.4-0.2

00.20.40.60.8

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)

Acceleration in X-axis

TestAna: Take

-0.1-0.08-0.06-0.04-0.02

00.020.040.060.08

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)

Acceleration in Y-axis

TestAna: Take

-0.8-0.6-0.4-0.2

00.20.40.60.8

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


TestAna: Take

-0.08-0.06-0.04-0.02

00.020.040.060.08

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


TestAna: Take


(g) Shield Tunnel (w/ flexible seg.) in Sand

(g) Shield Tunnel (w/ flexible seg.) in C-mixed Sand

-0.8-0.6-0.4-0.2

00.20.40.60.8

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


TestAna: Take

-0.08-0.06-0.04-0.02

00.020.040.060.08

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)

Acceleration in Y-axisTestAna: Take

-0.8-0.6-0.4-0.2

00.20.40.60.8

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


TestAna: Take

-0.06-0.04-0.02

00.020.040.060.08

0.1

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)

Acceleration in Y-axisTestAna: Take


(f) Shield Tunnel Bending Strain

(h) Flexible Segment along Shield Tunnel

02468

101214161820

0 5 10 15 20 25

Stra

in (μ

)

Time (sec)

Bending Strain in Horizontal Dir.TestAna: Take

02468

1012141618

0 5 10 15 20 25

Stra

in (μ

)

Time (sec)

Bending Strain in Vertical Dir.TestAna: Take

-0.06

-0.04

-0.02

0

0.02

0.04

0 5 10 15 20 25

Dis

pl..

(mm

)

Time (sec)

Displacement in Y-Dir.

TestAna: Take

-0.02

0

0.02

0.04

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)

Displacement in Z-Dir.TestAna: Take


Time Histories


1/7

(a) Ground surface

Case: 2 (Step Sine 50Gal Y-axis)

-0.3-0.2

-0.10

0.10.20.3

0.4

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


-1.5

-1

-0.5

0

0.5

1

1.5

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


-1.5

-1.2-0.9-0.6-0.3

0

0.30.6

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)



-2-1.5

-1-0.5

00.5

11.5

2

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)


2/7



-0.5-0.4-0.3-0.2-0.1

00.10.20.30.40.5

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


-2-1.5

-1-0.5

00.5

11.5

2

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


-1

-0.8-0.6-0.4-0.2

0

0.20.4

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)



-2-1.5

-1-0.5

00.5

11.5

2

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)


3/7



-0.5-0.4-0.3-0.2-0.1

00.10.20.30.40.5

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)



-2-1.5

-1-0.5

00.5

11.5

2

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


-0.8

-0.6

-0.4

-0.2

0

0.2

0.4

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)



-2-1.5

-1-0.5

00.5

11.5

2

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)


4/7



(d) Flexible Joint

-0.2-0.15-0.1

-0.050

0.050.1

0.150.2

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


-1

-0.5

0

0.5

1

1.5

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


-0.25

-0.2

-0.15

-0.1

-0.05

0

0.05

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)



-0.08-0.06

-0.04-0.02

00.020.04

0.06

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)



5/7Case: 2 (Step Sine 50Gal Y-axis)



-0.06-0.04

-0.020

0.020.040.06

0.08

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)

Acceleration in X-axisTestAna: Take

-1-0.8-0.6-0.4-0.2

00.20.40.60.8

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


TestAna: Take

-0.06-0.04-0.02

00.02

0.040.060.08

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


-0.8-0.6-0.4-0.2

00.20.40.60.8

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


TestAna: Take




-0.08-0.06-0.04-0.02

00.020.040.060.08

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


-1-0.8-0.6-0.4-0.2

00.20.40.60.8

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


TestAna: Take

-0.06

-0.04

-0.02

0

0.02

0.04

0.06

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


TestAna: Take

-0.8-0.6-0.4-0.2

00.20.40.60.8

0 5 10 15 20 25

Acc

. (m

/s2 )

Time (sec)


TestAna: Take




01

23456

7

0 5 10 15 20 25

Stra

in (μ

)

Time (sec)

Bending Strain in Horizontal Dir.TestAna: Take

01

23456

7

0 5 10 15 20 25

Stra

in (μ

)

Time (sec)

Bending Strain in Vertical Dir.TestAna: Take

-0.06-0.03

00.030.06

0.090.120.15

0 5 10 15 20 25

Dis

pl..

(mm

)

Time (sec)

Displacement in Y-Dir.TestAna: Take

-0.08

-0.04

0

0.04

0.08

0.12

0 5 10 15 20 25

Dis

pl. (

mm

)

Time (sec)

Displacement in Z-Dir.TestAna: Take


Time Histories


1/7

(a) Ground surface

Case: 3 (JR Takatori 50%)

-8-6-4-202468

0 10 20 30 40

Acc

. (m

/s2 )

Time (sec)



-5-4-3-2-1012345

0 10 20 30 40

Acc

. (m

/s2 )

Time (sec)



-60-50-40-30-20-10

010203040

0 10 20 30 40

Dis

pl. (

mm

)

Time (sec)


-40-30-20-10

010203040

0 10 20 30 40

Dis

pl. (

mm

)

Time (sec)



2/7



-15

-10

-5

0

5

10

0 10 20 30 40

Acc

. (m

/s2 )

Time (sec)



-8-6

-4-2024

6

0 10 20 30 40

Acc

. (m

/s2 )

Time (sec)



-80

-60-40-20

020

4060

0 10 20 30 40

Dis

pl. (

mm

)

Time (sec)


-40-30-20-10

01020304050

0 10 20 30 40

Dis

pl. (

mm

)

Time (sec)



3/7



-10-8-6-4-202468

0 10 20 30 40

Acc

. (m

/s2 )

Time (sec)



-8-6-4-202468

0 10 20 30 40

Acc

. (m

/s2 )

Time (sec)



-80

-60

-40

-20

0

20

40

0 10 20 30 40

Dis

pl. (

mm

)

Time (sec)



-40-30-20-10

01020304050

0 10 20 30 40

Dis

pl. (

mm

)

Time (sec)



4/7



(d) Flexible Joint

-8-6-4-202468

0 10 20 30 40

Acc

. (m

/s2 )

Time (sec)



-5-4-3-2-1012345

0 10 20 30 40

Acc

. (m

/s2 )

Time (sec)



-8-6-4-20

246

0 10 20 30 40

Dis

pl. (

mm

)

Time (sec)


-1-0.5

00.5

11.5

22.5

33.5

0 10 20 30 40

Dis

pl. (

mm

)

Time (sec)



5/7




-5-4-3-2-1012345

0 10 20 30 40

Acc

. (m

/s2 )

Time (sec)

Acc eleration in X-axis

TestAna: Take

-4-3-2-101234

0 10 20 30 40

Acc

. (m

/s2 )

Time (sec)


TestAna: Take

-5-4-3-2-1012345

0 10 20 30 40

Acc

. (m

/s2 )

Time (sec)


TestAna: Take

-4-3-2-101234

0 10 20 30 40

Acc

. (m

/s2 )

Time (sec)


TestAna: Take

6/7Case: 3 (JR Takatori 50%)



-5-4-3-2-1012345

0 10 20 30 40

Acc

. (m

/s2 )

Time (sec)


TestAna: Take

-4-3-2-101234

0 10 20 30 40

Acc

. (m

/s2 )

Time (sec)


TestAna: Take

-5-4-3-2-1012345

0 10 20 30 40

Acc

. (m

/s2 )

Time (sec)


TestAna: Take

-4-3-2-101234

0 10 20 30 40

Acc

. (m

/s2 )

Time (sec)


TestAna: Take

7/7




0

20

40

60

80

100

120

0 10 20 30 40

Stra

in (μ

)

Time (sec)

Bending Strain in Horizontal Dir.

TestAna: Take

0

50

100

150

200

250

300

0 10 20 30 40

Stra

in (μ

)

Time (sec)

Bending Strain in Vertical Dir.

TestAna: Take

-2-1.5

-1-0.5

00.5

11.5

22.5

0 10 20 30 40

Dis

pl..

(mm

)

Time (sec)

Displacement in Y-Dir.

TestAna: Take

-3-2

-10

123

4

0 10 20 30 40

Dis

pl. (

mm

)

Time (sec)

Displacement in Z-Dir.

TestAna: Take


Fourier Spectra


1/14

(a) Ground surface


0

0.2

0.4

0.6

0.8

1

1.2

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)



2/14

(a) Ground surface


0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)



3/14



0

0.2

0.4

0.6

0.8

1

1.2

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

0.5

1

1.5

2

2.5

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)



4/14



0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)



5/14



0

0.2

0.4

0.6

0.8

1

1.2

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

0.5

1

1.5

2

2.5

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)





0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)





0

0.2

0.4

0.6

0.8

1

1.2

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

0.02

0.04

0.06

0.08

0.1

0.12

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



8/14

(d) Flexible Joint


0

0.02

0.04

0.06

0.08

0.1

0.12

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)



0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)





0

0.2

0.4

0.6

0.8

1

1.2

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take

0

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take



0

0.2

0.4

0.6

0.8

1

1.2

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take

0

0.01

0.02

0.03

0.04

0.05

0.06

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take



0

0.2

0.4

0.6

0.8

1

1.2

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take

0

0.005

0.01

0.015

0.02

0.025

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take



0

0.2

0.4

0.6

0.8

1

1.2

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take

0

0.005

0.01

0.015

0.02

0.025

0.03

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take



0

10

20

30

40

50

60

0.01 0.1 1 10 100

Stra

in (μ

)

Frequency (Hz)


Test

Ana: Take

0

10

20

30

40

50

60

0.01 0.1 1 10 100

Stra

in (μ

)

Frequency (Hz)

Bending Strain in Vertical, Dir.

Test

Ana: Take

14/14



0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)

Displacelement in Y-Dir.

Test

Ana: Take

0

0.02

0.04

0.06

0.08

0.1

0.12

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)


Test

Ana: Take


Fourier Spectra


1/14

(a) Ground surface


0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

0.5

1

1.5

2

2.5

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)



2/14

(a) Ground surface


0

0.2

0.4

0.6

0.8

1

1.2

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

0.2

0.4

0.6

0.8

1

1.2

1.4

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)



3/14



0

0.05

0.1

0.15

0.2

0.25

0.3

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

0.5

1

1.5

2

2.5

3

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)



4/14



0

0.2

0.4

0.6

0.8

1

1.2

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)



5/14



0

0.05

0.1

0.15

0.2

0.25

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)





0

0.2

0.4

0.6

0.8

1

1.2

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)





0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

0.2

0.4

0.6

0.8

1

1.2

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



8/14

(d) Flexible Joint


0

0.05

0.1

0.15

0.2

0.25

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)



0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)





0

0.005

0.01

0.015

0.02

0.025

0.03

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take

0

0.2

0.4

0.6

0.8

1

1.2

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take



0

0.01

0.02

0.03

0.04

0.05

0.06

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take

0

0.2

0.4

0.6

0.8

1

1.2

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take



0

0.005

0.01

0.015

0.02

0.025

0.03

0.035

0.04

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take

0

0.2

0.4

0.6

0.8

1

1.2

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take



0

0.005

0.01

0.015

0.02

0.025

0.03

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take

0

0.2

0.4

0.6

0.8

1

1.2

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take



0

2

4

6

8

10

12

14

16

18

0.01 0.1 1 10 100

Stra

in (μ

)

Frequency (Hz)


Test

Ana: Take

0

2

4

6

8

10

12

14

16

18

0.01 0.1 1 10 100

Stra

in (μ

)

Frequency (Hz)


Test

Ana: Take

14/14



0

0.05

0.1

0.15

0.2

0.25

0.3

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)


Test

Ana: Take

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)


Test

Ana: Take


Fourier Spectra


1/14

(a) Ground surface


0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

50

100

150

200

250

300

350

400

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)



2/14

(a) Ground surface


0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

10

20

30

40

50

60

70

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)



3/14



0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

100

200

300

400

500

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)



4/14



0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

20

40

60

80

100

120

140

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)



5/14



0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

5

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

50

100

150

200

250

300

350

400

450

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)





0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

10

20

30

40

50

60

70

80

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)





0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)



0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)




(d) Flexible Joint

0

5

10

15

20

25

30

35

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)



0

5

10

15

20

25

30

35

40

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)





0

0.5

1

1.5

2

2.5

3

3.5

4

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take

0

0.5

1

1.5

2

2.5

3

3.5

0.01 0.1 1 10 100

Acc

. (m

/s2 )

Frequency (Hz)


Test

Ana: Take


(f) ShieldTunnel Bending Strain

0

20

40

60

80

100

120

140

160

0.01 0.1 1 10 100

Stra

in (μ

)

Frequency (Hz)


Test

Ana: Take

0

200

400

600

800

1000

1200

1400

1600

0.01 0.1 1 10 100

Stra

in (μ

)

Frequency (Hz)


Test

Ana: Take

14/14

(h) Flexible Segment along ShieldTunnel


0

0.5

1

1.5

2

2.5

3

3.5

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)


Test

Ana: Take

0

1

2

3

4

5

6

7

8

9

10

0.01 0.1 1 10 100

Dis

plac

emen

t (m

m)

Frequency (Hz)


Test

Ana: Take

e-defense large-scaled underground structure test ......02/23/2014 e-defense large-scaled...

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