(ambient) vibration test: a practical tool for civil ... cbm day print.pdf · nakhornpoovarodom...
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Nakhorn Poovarodom
Faculty of Engineering, Thammasat University
(Ambient) Vibration Test: A Practical Tool for Civil Engineering Problems
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Introduction Theoretical Background Examples
Ambient vibration tests Identification of dynamic properties of buildings Identification of tension force in cable structures
Monitoring of vibration intensity Vibration criteria for occupants Vibration criteria for building structures Vibration criteria for sensitive equipment
Control of vibration Concept & demonstration Performance tests of TMDs for a steel stack
Faculty of EngineeringThammasat University
Contents of presentation
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Structural Dynamics
Modal Analysis
Experimental Modal Analysis
Ambient Vibration Test
Faculty of EngineeringThammasat University
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The classical vibration theory for linear systems that explains the existence of mode of vibrations and their parameters; Natural frequency/Natural period
Mode shape
Damping
Faculty of EngineeringThammasat University
Modal Analysis Theory
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Natural Frequency and Natural Period
Natural Frequency Natural Periodmkf
21
f
T 1
Rigid Structures
High frequency or Short periodFlexible Structures
Low frequency of Long period
StiffnessMass
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Basic Structural Dynamicsคาบธรรมชาต/ิความถี่ธรรมชาติและการสั่นพอง
Faculty of EngineeringThammasat University
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Harmonically Forced Vibration
Dynamic Magnification Factor
Response StaticResponse Dynamic
D
tp sin0
D มีคามาก เมือ่
• จังหวะของแรงกระทําตรงกับ
จังหวะตามธรรมชาตขิอง
โครงสราง
• Damping ต่าํTransfer Function Faculty of Engineering
Thammasat University
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Multi Degree of Freedom System , MDOF
T1 = 1.22 s. T2 = 0.44 s. T3 = 0.33 s.3-Story Building
Mode 1 Mode 2 Mode 3
(a) (b) (c) (d)
k = 100m = 1.0
m = 0.5
m = 1.0k = 100
k = 100
Mode 1 Mode 2 Mode 3
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Vibration Modes of BeamVibration Modes of Beam
11stst ModeModeLow frequencyLow frequency
44thth ModeModeHigher frequencyHigher frequency
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Faculty of EngineeringThammasat University
Damping (การลดพลังงานการสั่นไหว)
-1
-0.5
0
0.5
1
0 5 10 15 20 25 30 35 40 45 50
Time
Am
plitu
de
No dampingDamping 0.5%Damping 3%
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Applications of Applications of Modal AnalysisModal Analysis Correlate FE model with experiments
ปรับแกแบบจาํลองการคํานวณจากผลการทดสอบ
Study effects of structural modification ศึกษาผลของการปรับปรุงโครงสราง
Sensitivity analysis วิเคราะหพารามิเตอรหลัก
Force identification หาแรงที่กระทําตอระบบ
Response prediction ทํานายผลตอบสนอง
Structural damage detection ตรวจหาความเสียหาย
Design of vibration control scheme ออกแบบระบบลดการสั่นสะเทือน
Structural Health Monitoring การตรวจสอบสภาพความสมบูรณของโครงสราง
Aerospace Engineering
Mechanical Engineering
Electrical Engineering
Civil Engineering
Faculty of EngineeringThammasat University
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How to Understand Dynamic Properties of How to Understand Dynamic Properties of StructuresStructures
Dynamic Properties
(Modal Parameters)
(a) Natural frequency
(b) Damping ratio
(c) Mode shape
Experimental Modal Analysis (Modal Testing) :
“The process of characterizing the dynamic behavior of a structure in terms of its modes of vibration using experimental data”
Techniques
(a) Analytical/ Numerical
(b) Experiments
(c) Combination of (a) and (b)
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Simple Experimental Modal Analysis
Structure
Exciter
SensorAnalyzer
Faculty of EngineeringThammasat University
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Experimental Vibration Tests
Forced vibration tests Measure response of structure due to controlled force
Free vibration tests Measure response of structure with initial condition
(by impulsive load)
Ambient vibration tests Measure response of structure under its natural motion
Faculty of EngineeringThammasat University
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Ambient Vibration = Microtremors (?)
Microtremors (microsisms) = The constant vibrations of Earth’s surface
Very small amplitude (10‐4 to 10‐6 mm)
Caused by daily human activities and natural phenomena
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Ambient Vibration TestAdvantages
No specific excitation source is required
Service condition test is applicable
Disadvantages
Poor signal‐to‐noise ratios, Only few lower modes can be identified
Sophisticated method for analysis
Highly sensitive equipments are necessary
Excitations should be random
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Ambient Vibration Test
Evolution of dynamic tests
(Wenzel and Pichler 2005)
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Fundamental Assumptions
Assumption for Modal Analysis
The structure is assumed to be linear
The structure is time invariant
The structure obeys Maxwell’s reciprocal law
The structure is observable
Additional assumption for AVT
The excitation is a broadband stochastic processmodeled by stationary white noise process
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Experimental Modal Analysis Methods
Classify by the domain in which the modal parameter estimation model is formulated
Time domain Impulse‐response function
Frequency domain Frequency‐response function
Time‐Frequency presentation Wavelet, Hilbert Houng Transform
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Random Force u(t)Natural Disturbances
Response of Structure to Random ExcitationsStructure
Random Response X(t)
fn f
SX (f)
f
SF (f)
fn f
22 or )( DfH
)( )( )( 2 fSfHfS XF
Transfer FunctionPSD of Force PSD of Response
Faculty of EngineeringThammasat University
Fourier Transform
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Example of AVT ApplicationsTo understand dynamic characteristics of structure
‐ Identification of dynamic parameters‐ Identification of structural properties
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Dynamic Properties of Buildings by Ambient Vibration Measurements
Faculty of EngineeringThammasat University
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การตรวจวัดดวยวิธี Ambient Vibration Measurement
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Equipments
Battery
SENSORData Acquisition System
GPS
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วิธีการตรวจวัด
ตรวจวัดการสั่นไหวแบบ Ambient vibration ที่ชั้นบนสุดของอาคาร
ดวยเครื่องมือที่มีความละเอียดสูงเพื่อหาคาความถี่ธรรมชาติ และ
ความหนวง
ตรวจวัดการสั่นไหวที่ชั้นบนสุดของอาคารที่มีการจดัเรยีงหัววัด
หลายรูปแบบ เพื่อหารูปแบบการเคลื่อนทีท่ี่ชั้นบนสุด
ตรวจวัดการสั่นไหวที่ชั้นตางๆตลอดแนวดิ่งของอาคารเพื่อหาการ
เคลื่อนตัวสัมพัทธและ รูปรางการสั่นไหว (Mode shape)
Faculty of EngineeringThammasat University
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Arrangement of Sensors on Building Roof
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Response-Time History
0 50 100 150
-1
0
1x 10-4
X 1
0 50 100 150
-5
0
5
x 10-5
X 2
0 50 100 150
-5
0
5
10x 10-5
Y 1
0 50 100 150-1
0
1x 10-4
Y 2
Time(sec)
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0 1 2 3 4 5 6 7 80
0.05
0.1
0.15
0.2
0.25
0.3Fo
urie
r am
plitu
de [X
k]
Frequency (Hz)
Section 1Section 2Section 3Section 4Section 5Section 6Section 7Section 8Section 9Section 10Average plot
Fourier Magnitude Spectra
First Mode
Second Mode Third Mode
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NS EWFirst Mode
10.79
0.640.5
0.280.12
0.05
-0.03
-0.19-0.3
-0.4-0.47
-0.53-0.54-0.58-0.57-0.57-0.51
-0.44-0.35
-0.3
-0.15
-0.08-0.05
-0.02 -0.020369
121518212427303336394245485154
-1.0 -0.5 0.0 0.5 1.0
1.000.860.850.81
0.760.730.70
0.640.62
0.560.520.49
0.420.40
0.350.32
0.22
0.11
0.080.04
0.17
0.28
0.030.03
0.000.010
369
121518212427303336394245485154
-1.0 -0.5 0.0 0.5 1.0
1.000.880.89
0.820.780.74
0.660.660.62
0.570.53
0.490.47
0.410.37
0.32
0.23
0.11
0.050.05
0.020.02
0.020.02
0.27
0.17
0369
121518212427303336394245485154
-1.0 -0.5 0.0 0.5 1.0
10.76
0.630.47
0.270.13
0.01-0.14-0.26
-0.36-0.48
-0.52-0.54
-0.62-0.59-0.58-0.54-0.51
-0.39-0.3
-0.19
-0.1-0.06-0.01-0.020
369
121518212427303336394245485154
-1.0 -0.5 0.0 0.5 1.0
Vibration Mode Shapes
NS EWSecond Mode
NS EWThird Mode
1
0.11
0.040.04
0.140.25
0.380.47
0.560.540.53
0.440.29
0.17-0.06-0.21
-0.37-0.52
-0.59-0.64
0.620.3
0.03-0.37-0.5
-0.56
0369
121518212427303336394245485154
-1.0 -0.5 0.0 0.5 1.0
1
0.12
-0.71-0.6
-0.42 0.080.3
0.62
-0.71-0.66
-0.52-0.36
-0.22-0.03 0.21
0.420.6
0.690.71
0.65
0.550.41
0.230.12
0.030.040
369
121518212427303336394245485154
-1.0 -0.5 0.0 0.5 1.0
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N
E
C-3 C-2 C-1
C-1
C-2
C-3
Top Floor Vibration
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Synchronized human motion
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Faculty of EngineeringThammasat University
Vibration Shaker: Concept2 Masses are moving at the same rate but opposite direction
Plan View
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Dynamic Identification ofTension Force in Cable Structures
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Identification of Cable Tension
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mT
lf
2
mode vibration1
1
st
1
mT
lf
2
mode vibration2
2
nd
2
mT
lf
2
mode vibration3
3
nd
3
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Monitoring of vibration intensityVibration criteria for occupantsVibration criteria for building structuresVibration criteria for sensitive equipment
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Vibration Criteria In Buildings
ระดับการสั่นสะเทือนที่ยอมใหในอาคาร
Vibration criteria for occupants
(ระดับการสั่นสะเทือนที่ยอมใหสําหรับผูใชอาคาร)
Vibration Criteria for Building Structures
(ระดับการสั่นสะเทือนที่ยอมใหสําหรับโครงสรางอาคาร)
Vibration Criteria for Sensitive Equipment
(ระดับการสั่นสะเทือนที่ยอมใหสําหรับเครื่องมือพิเศษ)
Faculty of EngineeringThammasat University
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Vibration criteria for occupants
(ระดับการสั่นสะเทือนที่ยอมใหสําหรับผูใชอาคาร)
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เกณฑระดับการสั่นไหว
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Vibration Criteria for Building Structures
(ระดับการสั่นสะเทือนที่ยอมใหสําหรับโครงสรางอาคาร)
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Modify structure by additional bracing
Bracing type 1 Bracing type 2
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Vibration Criteria for Sensitive Equipment
(ระดับการสั่นสะเทือนที่ยอมใหสําหรับเครือ่งมือพิเศษ)
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Control of vibrationConcept & demonstrationPerformance tests of TMDs for a steel stack
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การควบคุมการสั่นสะเทือนของโครงสราง(Vibration Control of Structure)
วิธกีารควบคมุการสั่นสะเทือนของโครงสราง
ลดขนาดแรงที่มากระทํากับโครงสราง
เพิ่มความแข็งแรงใหแกโครงสราง
เปลี่ยนแปลงความถี่ธรรมชาติของโครงสราง
เพิม่ความหนวงใหแกโครงสราง
Faculty of EngineeringThammasat University
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Damping Control of StructureDamping Control of Structure
Damping Control with damping material
Discrete Damping devices
Dynamic Damper Tuned Mass Damper TMD
Tuned Liquid Damper TLD
Faculty of EngineeringThammasat University
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Structure + TMDStructure with additional damping
Tuned Mass Damper (TMD)
Faculty of EngineeringThammasat University
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Vibration Control by Tuned Liquid Damper (TLD)
Faculty of EngineeringThammasat University
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การวิเคราะหลักษณะการสั่นสะเทือนของระบบ ชวยใหเขาใจธรรมชาติและปญหาของการสัน่สะเทือนได
คุณสมบัติเชิงพลศาสตรของโครงสรางใชชวยในการทํานายพฤติกรรมการ
สั่นสะเทือน และการบํารงุรักษา การตรวจวัดและวิเคราะหระดบัการสั่นสะเทือนชวยใหทราบถึงลักษณะ
ปญหาที่ถูกตอง และออกแบบวิธีแกไขอยางเหมาะสม
สรุปประเด็นสําคัญ