tackling noisy data 005 forprint - bodie tech · transient impact analyses via abaqus/explicit ......
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Bodie Technology, IncSmart-Tools for Analyzing
Noisy & Challenging Problems™
Copyright © 2004 - 2012 Bodie Technology, Inc.
1
Getting More From Abaqus by Tackling Noisy and Challenging Data
Learn how to turn this mess …
… into success!
Snap-Fit
EquipmentPerformance
Impact &Buckling
Advanced Material Testing
Failure
Drop Testing
0 10 20 30 40 500.0
0.5
1.0
1.5
2.0
Strain (%)
Stre
ss (M
Pa)
0 10 20 30 40 500.0
0.5
1.0
1.5
2.0
Strain (%)
Stre
ss (M
Pa)
Bodie Technology, IncSmart-Tools for Analysis™
Overview
• Noisy Data – The Disease
• Bodie Technology Offerings – The CureCustomizable Training, Kornucopia® Software, Expert Consulting
• Technology Demonstrations1. Abaqus/Standard quasi-static rolling
2. Abaqus/Explicit quasi-static snap-fit
3. Transient impact analyses via Abaqus/Explicit
• Including Shock Response Spectrum (SRS) assessments
4. Improving FEA-Test correlations of impact events via highpass filtering
5. Preparing and cleaning physical test data for use in FEA modeling
• Bodie Technology Development RoadmapUpcoming Kornucopia® V1.6 release
Future Kornucopia® platforms: Plug-ins for Abaqus/Viewer, Excel, and Python
Copyright © 2004 - 2012 Bodie Technology, Inc.
2
Bodie Technology, IncSmart-Tools for Analysis™
Noisy Data – The Disease
• Representing or manipulating oscillatory data with digital methods
Copyright © 2004 - 2012 Bodie Technology, Inc.
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0 2 4 6 8 10
-1.0
-0.5
0.0
0.5
1.0
time (msec)
ampl
itude
0 2 4 6 8 10
-1.0
-0.5
0.0
0.5
1.0
time (msec)
ampl
itude
Sufficient Sampling
Insufficient Sampling Causes Aliasing
Bodie Technology, IncSmart-Tools for Analysis™
Noisy Data – The Disease
• Representing or manipulating oscillatory data with digital methods
Copyright © 2004 - 2012 Bodie Technology, Inc.
4
0 2 4 6 8 10
-1.0
-0.5
0.0
0.5
1.0
time (msec)
ampl
itude
0 2 4 6 8 10
-1.0
-0.5
0.0
0.5
1.0
time (msec)
ampl
itude
Sufficient Sampling
Insufficient Sampling Causes Aliasing
Bodie Technology, IncSmart-Tools for Analysis™Copyright © 2004 - 2012 Bodie Technology, Inc.
5
Bodie Technology, Inc.
Specializes in solving complex problems in nonlinear mechanics by employing a proven mix of computational and testing knowledge in novel ways
“Bodie Technology provides engineers with excellent software, training, and consulting resources to help analyze complex nonlinear mechanics problems, especially those involving problematic or noisy datasets.”
Steve Levine, Chief Strategy Officer, SIMULIA
• Kornucopia® Software
• Customizable Training
• Expert Consulting
Analytical
ExperimentalNumerical
Creativity+
Pragmatism
Smart-Tools for Analyzing Noisy and Challenging Problems™
Bodie Technology, IncSmart-Tools for Analysis™
Technology Demonstrations
1. Abaqus/Standard quasi-static rolling
2. Abaqus/Explicit quasi-static snap-fit
3. Transient impact analyses via Abaqus/Explicit
Including Shock Response Spectrum (SRS) assessments
4. Improving FEA-Test correlations of impact events via highpass filtering
5. Preparing and cleaning physical test data for use in FEA modeling
Copyright © 2004 - 2012 Bodie Technology, Inc.
6
Bodie Technology, IncSmart-Tools for Analysis™
Abaqus/Standard Quasi-Static Rolling
• Analyzing Paper Motion in CopiersUnderstand media transport, influence of roller deformation, frictional effects, roller viscoelasticity …
Copyright © 2004 - 2012 Bodie Technology, Inc.
7
FEA model of rotating
roller
Bodie Technology, IncSmart-Tools for Analysis™
Abaqus/Standard Quasi-Static Rolling• Nonlinear quasi-static model predicts the
torque (moment) required to rotate foam roller.
Results from same model, just 4 different output requests.
Copyright © 2004 - 2012 Bodie Technology, Inc.
8
0 0.2 0.4 0.6 0.8 10.5
0
0.5
1
1.5
2
FEA outputAfter lowpass filtering
Pseudo Time
Nor
mal
ized
Mom
ent
0 0.2 0.4 0.6 0.8 10.5
0
0.5
1
1.5
2
FEA outputAfter lowpass filtering
Pseudo Time
Nor
mal
ized
Mom
ent
Output every 18 inc.(15 total points)
0 0.2 0.4 0.6 0.8 10.5
0
0.5
1
1.5
2
FEA outputAfter lowpass filtering
Pseudo Time
Nor
mal
ized
Mom
ent
Output every 11inc.(24 total points)
0 0.2 0.4 0.6 0.8 10.5
0
0.5
1
1.5
2
FEA outputAfter lowpass filtering
Pseudo Time
Nor
mal
ized
Mom
ent
Output every 10 inc.(26 total points)
Output every 7 inc.(37 total points)
Bodie Technology, IncSmart-Tools for Analysis™
0 0.2 0.4 0.6 0.8 10.5
0
0.5
1
1.5
2
FEA outputAfter lowpass filtering
Pseudo Time
Nor
mal
ized
Mom
ent
Abaqus/Standard Quasi-Static Rolling• Nonlinear quasi-static model predicts the
torque (moment) required to rotate foam roller.
Correct model results using proper DSP techniques.
Copyright © 2004 - 2012 Bodie Technology, Inc.
9
Output every 1 inc.(251 total points)
Solution noise caused by mesh discretization interacting with contact during rolling.
Aliasing errors!
Using proper DSP approach, steady state answer achievable with
½ the run-time!
Bodie Technology, IncSmart-Tools for Analysis™
Quasi-Static Snap-Fit Via Explicit Dynamics FEA
Preliminary scouting analysis of a Snap-Fit design
• Understand sensitivity to lower arm angle and influence of friction.
• Simulate both insertion and retraction
Implicit FEA will have difficulty with “snap” and retraction, so simulate with Explicit FEA.
Copyright © 2004 - 2012 Bodie Technology, Inc.
10
3 angles: o, o+5º, o-5º
displacement
forc
e
“Form” of expected physical response during insertion
FEA via Abaqus/Explicit,Filtering via Kornucopia®
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11
Quasi-Static Snap-Fit Via Explicit Dynamics FEAInsertion Results Using Different Output Requests
Unfiltered
Lowpass filtered until smooth
0 5 103
2
1
0
1
2Force vs Disp (Insertion)
Displacement
Forc
e
100 increments
0 5 100.5
0
0.5
1
Force vs Disp (Insertion)
Displacement
Forc
e
o-5º
o+5º
o
0 5 103
2
1
0
1
2Force vs Disp (Insertion)
Displacement
80 increments
0 5 100.5
0
0.5
1
Force vs Disp (Insertion)
Displacement
o-5º
o+5º
o
0 5 103
2
1
0
1
2Force vs Disp (Insertion)
Displacement
50 increments
0 5 100.5
0
0.5
1
Force vs Disp (Insertion)
Displacement
o-5º
o+5º
o
Aliased Aliased Aliased
Aliased Aliased Aliased
0 5 103
2
1
0
1
2Force vs Disp (Insertion)
Displacement
Forc
e Every increment
(~35,000 incs)
0 5 100.5
0
0.5
1
Force vs Disp (Insertion)
Displacement
Forc
e
o
o-5º
o+5º
Copyright © 2004 - 2012 Bodie Technology, Inc.
Bodie Technology, IncSmart-Tools for Analysis™Copyright © 2004 - 2012 Bodie Technology, Inc.
12
0 5 106
4
2
0
2
4Force vs Disp (Retraction)
Displacement
0 5 106
4
2
0
2
4Force vs Disp (Retraction)
Displacement
0 5 106
4
2
0
2
4Force vs Disp (Retraction)
Displacement
0 5 106
4
2
0
2
4Force vs Disp (Retraction)
Displacement
Forc
e
0 5 1010
5
0
5
10Force vs Disp (Retraction)
Displacement
Forc
e
0 5 1010
5
0
5
10Force vs Disp (Retraction)
Displacement
0 5 1010
5
0
5
10Force vs Disp (Retraction)
Displacement
0 5 1010
5
0
5
10Force vs Disp (Retraction)
Displacement
Quasi-Static Snap-Fit Via Explicit Dynamics FEARetraction Results Using Different Output Requests
Every increment(~35,000 incs)
100 increments 80 increments 50 incrementsUnfiltered
Lowpass filtered until smooth
o
o-5º
o+5º
o-5º
o-5º
o-5ºo+5º o+5º o+5º
o
o
o
Aliased Aliased Aliased
Aliased Aliased Aliased
Important part
Bodie Technology, IncSmart-Tools for Analysis™
13
0 2 4 6 8 101
0
1
2
3
4
5Energy vs Disp (Insertion)
Displacement
Ener
gy
Quasi-Static Snap-Fit Via Explicit Dynamics FEAEnergy Methods, Derivatives, and DSP to Improve Analysis
Filtered via bi-directional lowpass 6th order butterworth,
fc=0.005·fs
External workFrictional energyInternal energy
Kinetic energy0 2 4 6 8 10
0
0.1
0.2
0.3
0.4
0.5No filtering
Displacement
"Fric
tion
Con
tribu
tion
Forc
e"
Case: o
0 2 4 6 8 100
0.1
0.2
0.3
0.4
0.5With Filtering
Displacement
"Fric
tion
Con
tribu
tion
Forc
e"u
UF friction
fric
Estimating Frictional Influence
Similar computations for other cases of
o+5º and o-5º
Copyright © 2004 - 2012 Bodie Technology, Inc.
Bodie Technology, IncSmart-Tools for Analysis™
14
Quasi-Static Snap-Fit Via Explicit Dynamics FEAEnergy Methods, Derivatives, and DSP to Improve Analysis
Estimating Frictional Influence
0 2 4 6 80
0.5
1
1.5
Displacement
Forc
e
13.0COFnewCOF
3.03.0 COFfricCOFtotalnewCOFtotalFFF
o-5º
o+5º
o
Orig. Simulation, COF = 0.3
Prediction equation
Copyright © 2004 - 2012 Bodie Technology, Inc.
Bodie Technology, IncSmart-Tools for Analysis™
15
Quasi-Static Snap-Fit Via Explicit Dynamics FEAEnergy Methods, Derivatives, and DSP to Improve Analysis
Estimating Frictional Influence
0 2 4 6 80
0.5
1
1.5
Displacement
Forc
e
13.0COFnewCOF
3.03.0 COFfricCOFtotalnewCOFtotalFFF
o-5º
o+5º
o
Orig. Simulation, COF = 0.3
Validating predictions by running actual full FEA models for all three angle cases with COF = 0.5 0 2 4 6 8
0
0.5
1
1.5
Displacement
Forc
e
Validation for COF=0.5
predictionactual FEA
o-5º
o+5ºo
0 2 4 6 80
0.5
1
1.5
Displacement
Forc
e
Energy Derivative Predictions, COF = 0.5
o-5º
o+5º
o
Prediction equation
Copyright © 2004 - 2012 Bodie Technology, Inc.
Three FAST predictions of COF change
from 0.3 to 0.5(FEA model NOT re-run)
Bodie Technology, IncSmart-Tools for Analysis™Copyright © 2004 - 2012 Bodie Technology, Inc.
Severe Impact of Plastic Housing
Why do 2 engineers find completely different results starting with same data?
Acc
eler
atio
n (k
G)
Time (msec)
Acc
eler
atio
n (k
G)
Time (msec)0 2 4 6
20
10
0
10
fs = 250 kHz(original collection rate)
Experimental measurement Explicit Dynamics FEA Simulation
rawdata
Cell phone lens impact
Engineer A“NO correlation”
Engineer B“Good Match”
Aliasing distorted analysis
16
Bodie Technology, IncSmart-Tools for Analysis™Copyright © 2004 - 2012 Bodie Technology, Inc.
Successful Analysis of Challenging Data:Accelerations and Displacements
17
Reusable, well documented Kornucopia® analysis worksheet
Bodie Technology, IncSmart-Tools for Analysis™
Shock Response Spectrum(SRS and PVSS)
• Methodology to assess impact severityfrom acceleration data. Applicable to
FEA
Physical tests
• Methodology based on assessing how aspectrum of Spring/Mass/Damper systemsrespond to transient acceleration input
• Useful to answer questions such as
“Will a sensor or other component survive the impact event?” Examples include:
• Cameras
• Motion-sensing electronics
• IC chips
Applicable to cell phones, smart-bombs, …
Copyright © 2004 - 2012 Bodie Technology, Inc.
18
Bodie Technology, IncSmart-Tools for Analysis™
19
SRS and PVSS Penetrator Example
Given• Acceleration data from:
Experiment Explicit Dynamics model
• Spec on absolute max shock for device to be placed near nose cone:(as stated by customer)
6,000·G for 0.1·msec2,000·G for 0.5·msec
Copyright © 2004 - 2012 Bodie Technology, Inc.
How to compare the following data to the specs?• Experiment and FEA Peak Accel = 700·G and 4,000·G• Experiment and FEA data look totally different!
How to relate 0.1 and 0.5·msec from spec to Test and FEA data?
Zoom from 0 to 5·msec
Bodie Technology, IncSmart-Tools for Analysis™
20
SRS and PVSS Penetrator Example
Given• Acceleration data from:
Experiment Explicit Dynamics model
• Spec on absolute max shock for device to be placed near nose cone:(as stated by customer)
6,000·G for 0.1·msec2,000·G for 0.5·msec
Copyright © 2004 - 2012 Bodie Technology, Inc.
First convert specs to Haversine shock pulses• Easily done with Kornucopia® functions
Bodie Technology, IncSmart-Tools for Analysis™
21
SRS and PVSS Penetrator Example
Given• Acceleration data from:
Experiment Explicit Dynamics model
• Spec on absolute max shock for device to be placed near nose cone:(as stated by customer)
6,000·G for 0.1·msec2,000·G for 0.5·msec
Copyright © 2004 - 2012 Bodie Technology, Inc.
Then compute SRS Abs Acceland PVSS Spectra on• Haversine shock pulses• Experimental data• FEA data
Bodie Technology, IncSmart-Tools for Analysis™
22
SRS and PVSS Penetrator Example
Given• Acceleration data from:
Experiment Explicit Dynamics model
• Spec on absolute max shock for device to be placed near nose cone:(as stated by customer)
6,000·G for 0.1·msec2,000·G for 0.5·msec
Copyright © 2004 - 2012 Bodie Technology, Inc.
Then compute SRS Abs Acceland PVSS Spectra on• Haversine shock pulses• Experimental data• FEA data
Bodie Technology, IncSmart-Tools for Analysis™
23
SRS and PVSS Penetrator Example
Given• Acceleration data from:
Experiment Explicit Dynamics model
• Spec on absolute max shock for device to be placed near nose cone:(as stated by customer)
6,000·G for 0.1·msec2,000·G for 0.5·msec
Copyright © 2004 - 2012 Bodie Technology, Inc.
Then compute SRS Abs Acceland PVSS Spectra on• Haversine shock pulses• Experimental data• FEA data• Need estimate of natural
frequencies of device
Bodie Technology, IncSmart-Tools for Analysis™
24
SRS and PVSS Penetrator Example
Given• Acceleration data from:
Experiment Explicit Dynamics model
• Spec on absolute max shock for device to be placed near nose cone:(as stated by customer)
6,000·G for 0.1·msec2,000·G for 0.5·msec
Copyright © 2004 - 2012 Bodie Technology, Inc.
Then compute SRS Abs Acceland PVSS Spectra on• Haversine shock pulses• Experimental data• FEA data• Need estimate of natural
frequencies of device
SRS and PVSS New Capabilities in
Upcoming Kornucopia® V1.6 Release
Special Features to Properly Handle Unique
Issues of Explicit Dynamics Data
Bodie Technology, IncSmart-Tools for Analysis™Copyright © 2004 - 2012 Bodie Technology, Inc.
Integrating Acceleration Data – Another Big Challenge!
Acc
el (g
)
Time (msec)0 20 40 60
4000
2000
0
2000
4000
Why does this measured acceleration produce a ridiculous displacement?
Steel ball impactingaluminum plate
157·mm
76·mm
1.6·mmthick
0 20 40 60400
300
200
100
0
100
Dis
p (m
m)
Implausibleresult!
benchmark
Integratedfrom accelerometer
Time (msec)
Answer:Low frequency distortion in accelerometer data
• Very common withmeasured data
Bodie Technology, IncSmart-Tools for Analysis™Copyright © 2004 - 2012 Bodie Technology, Inc.
Example Templates in Library Help Meet the Challenge!
ALL Template Example Files• Can Open LIVE in Mathcad®• Modify as desired by user
Bodie Technology, IncSmart-Tools for Analysis™Copyright © 2004 - 2012 Bodie Technology, Inc.
Salvaging Data via Highpass Filtering
Bodie Technology, IncSmart-Tools for Analysis™Copyright © 2004 - 2012 Bodie Technology, Inc.
Salvaging Data via Highpass Filtering
Bodie Technology, IncSmart-Tools for Analysis™Copyright © 2004 - 2012 Bodie Technology, Inc.
Salvaging Data via Highpass Filtering
Filtered
Laser
Raw
Bodie Technology, IncSmart-Tools for Analysis™Copyright © 2004 - 2012 Bodie Technology, Inc.
Salvaging Data via Highpass Filtering
Bodie Technology, IncSmart-Tools for Analysis™Copyright © 2004 - 2012 Bodie Technology, Inc.
Preparing & Cleaning Challenging Data via Kornucopia®
= specimen = info section = primary dataGrouping key:
File with beginning and ending markers for each dataset
= specimen = info section = primary dataGrouping key: = specimen = info section = primary dataGrouping key: = specimen = info section = primary dataGrouping key:
File with beginning and ending markers for each dataset
Processing Experimental DataChallenging data to read(multiple datasets, header text and data, …)
Unpack and separate datasets
Trim & clean datasets
Plot raw datasets
Average datasets and plot final results
Reusable, well documented Kornucopia® analysis worksheet
Readdata file
31
Bodie Technology, IncSmart-Tools for Analysis™
Cleaning High-Rate Data
• With high-rate measurements, there is a greater likelihood that noise and oscillations appear in your data
Often caused by excitation of mounting fixtures or testing frames.
• In many cases, the FEA analyst must deal with the data “as is”
Copyright © 2004 - 2012 Bodie Technology, Inc.
32
Bodie Technology, IncSmart-Tools for Analysis™
Cleaning High-Rate Data
• With high-rate measurements, there is a greater likelihood that noise and oscillations appear in your data
Often caused by excitation of mounting fixtures or testing frames.
• In many cases, the FEA analyst must deal with the data “as is”
Copyright © 2004 - 2012 Bodie Technology, Inc.
33
• Interactive• Self-documenting • Reusable
Bodie Technology, IncSmart-Tools for Analysis™Copyright © 2004 - 2012 Bodie Technology, Inc.
Enhancing Material Characterization from Raw Data
Basic Steps forElastic/Plastic DataA. Clean and average
raw data
B. Convert nominal stress/strain to true stress/strain
C. Determine modulus
D. Obtain yield stress vs plastic strain curve
E. Output to ASCII file for FEA or other use
Bodie Technology, IncSmart-Tools for Analysis™Copyright © 2004 - 2012 Bodie Technology, Inc.
Cleaning Hysteresis Data via Kornucopia®
35
Key Benefits:• Clear documentation of analysis• Reusable & automated
Saves times, Reduces errorsDeployable to others
Bodie Technology, IncSmart-Tools for Analysis™
Free, Self-paced Kornucopia® Training on BodieTech.com
Copyright © 2004 - 2012 Bodie Technology, Inc.
36
Bodie Technology, IncSmart-Tools for Analysis™
Analyzing Noisy Data via Filtering and DSP3 or 4 Day Customizable Training Seminar
Instructor: Ted Diehl, PhD
Copyright © 2004 - 2012 Bodie Technology, Inc.
37
Learn how to turn this mess …
… into success!
Snap-Fit
EquipmentPerformance
Impact &Buckling
Advanced Material Testing
Failure
Drop Testing
0 10 20 30 40 500.0
0.5
1.0
1.5
2.0
Strain (%)
Stre
ss (M
Pa)
0 10 20 30 40 500.0
0.5
1.0
1.5
2.0
Strain (%)
Stre
ss (M
Pa)
Training specially designed for FEA Users & Experimentalists
Bodie Technology, IncSmart-Tools for Analysis™Copyright © 2004 - 2012 Bodie Technology, Inc.
38
Course ContentLectures1. Motivation for Using DSP with
Simulations and Experiments2. DSP Fundamentals3. DSP Using Various Software 4. Developing a DSP Strategy for a Given
Problem5. Using Energy to Enhance Analysis6. Working with Experimental Data and
Validating Simulations/Experiments7. Working with Transient-Dynamic Models8. Shock Spectrum Analysis (SRS, PVSS) 9. Working with Quasi-Static Models from
Explicit FEA10. Improving the Modeling of Failure11. Creating Viable FEA Material Data from
Noisy and Challenging Material Measurement Data
Workshops1. Experiencing Common DSP-related
Mistakes
2. Learning DSP Using Simple Signals
3. Transient Impact of a Structure
4. Transient Penetration - Comparing Models and an Experiment
5. Salvaging Shock Data via HighpassFiltering
6. Quasi-Static Cam Mechanism
7. Analyzing Failure and Crack Propagation
8. Computing Derivatives and Integrals From Noisy Data
9. Creating Elastic/Plastic Material Law From Slightly Noisy Experimental Data
10. Cleaning Problematic Hysteresis Data
Bodie Technology, IncSmart-Tools for Analysis™Copyright © 2004 - 2012 Bodie Technology, Inc.
39
“Your DSP course taught techniques that helped me create a standardized approach for processing noisy Explicit Dynamics simulations. This has improved my analysis and helped me deliver more useful FEA results on recent projects - your course is the best I have taken in a long time.”
Michael J. Iacchei, Mech. Eng.U.S. Army, AMSAA
Smart-Tools for Analyzing Noisy & Challenging Problems™
“Without Kornucopia® I really doubt the quality and quantity of work would have been what it was. The 1 on 1 instruction was invaluable”
Lt. Col. Kelly Laughlin, PhD US Army, Picatinny Arsenal
Analyzing large-caliber ballistics from both Explicit FEA and tests
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40
"Kornucopia® has helped greatly in breaking down difficult data sets from experiments, in an easier, automatic, and understandable way. This has helped us setup, scrutinize and understand the experiments faster, which is priceless… It helps make the organization move faster…”David McCalib, Mfg. Engineer
- Blount International
Smart-Tools for Analyzing Noisy & Challenging Problems™
“We congratulate the Kornucopia® development team for creating such an effective and simple-to-use toolkit for engineers worldwide.”
Arun Nair, Ph.D.Becton Dickinson & Co.
Bodie Technology, IncSmart-Tools for Analysis™
Bodie Technology Roadmap Upcoming Kornucopia® V1.6 Release
• Shock Response SpectrumSRS Absolute Acceleration, PVSS, and more
Easy-to-use Pulse Generation functions
Convert component shock specs to SRS for direct comparison to SRS of FEA or physical accelerometer data
Specifically designed to handle Explicit Dynamics simulation data as well as experimental data
Example templates demonstrating SRS technology usage
• Other EnhancementsRun/Loop other Mathcad worksheets from a Kornucopia® worksheet
Enhancements to file reading, averaging, integration, & derivatives
New example templates
• SRS data analysis, Slice/Dice data, and more
Copyright © 2004 - 2012 Bodie Technology, Inc.
41
Bodie Technology, IncSmart-Tools for Analysis™
Bodie Technology Roadmap Future Kornucopia®Platforms
Independent Kornucopia® Engine• Allows Kornucopia® technology
to be connected to a variety of software packages
Initial Platform Targets• Abaqus/Viewer• Microsoft Excel• Python• Mathcad
Copyright © 2004 - 2012 Bodie Technology, Inc.
42
Bodie Technology, IncSmart-Tools for Analysis™
43
Smart-Tools for Analyzing Noisy &
Challenging Problems™
Bodie Technology, Inc
www.BodieTech.com
Analytical
ExperimentalNumerical
Creativity+
Perspective
Analytical
ExperimentalNumerical
Creativity+
Perspective
Bodie Technology, IncSmart-Tools for Analysis™Copyright © 2004 - 2012 Bodie Technology, Inc.
44
Instructor’s Profile –Ted Diehl, Ph.D.
• Expert in Nonlinear Mechanics with 20+ Years ExperienceExperimental, computational, and theoretical approaches
Led nonlinear mechanics efforts at Kodak, Motorola, and DuPont
• Engineering ToolsMathcad & Kornucopia®, Abaqus nonlinear FEA, and experimental methods
• Engineering Success in IndustryNASA spacecraft Paper motion in copiers Nonlinear nip mechanicsCell-phone impact Simulating fabrics Ballistic protection Peeling mechanics Flexible structures Nonlinear materials
• Created unique DSP algorithmsEnhance analysis of noisy data from experiments & Explicit Dynamics FEA
• Developer of Kornucopia® and President of Bodie Technology Inc.Smart-Tools for Analyzing Noisy & Challenging Problems™