AN INTEGRATED UNDERGRADUATE DYNAMIC SYSTEMS TEACHING METHODOLOGY - - PowerPoint PPT Presentation

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AN INTEGRATED UNDERGRADUATE DYNAMIC SYSTEMS TEACHING METHODOLOGY - - PowerPoint PPT Presentation

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ASEE Conference June 2007 Hawaii AN INTEGRATED UNDERGRADUATE DYNAMIC SYSTEMS TEACHING METHODOLOGY UTILIZING ANALYTICAL AND EXPERIMENTAL APPROACHES FIRST & SECOND ORDER SYSTEMS DIGITIAL DATA ACQUISITION SIGNAL CONDITIONER RISE

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

AN INTEGRATED UNDERGRADUATE DYNAMIC SYSTEMS TEACHING METHODOLOGY UTILIZING ANALYTICAL AND EXPERIMENTAL APPROACHES

Peter Avitabile Mechanical Engineering Department University of Massachusetts Lowell

ASEE Conference – June 2007 – Hawaii

TIME FREQUENCY

ACCELEROMETER IMPACT HAMMER FORCE GAGE HAMMER TIP FOURIER TRANSFORM LVDT DISPLACEMENT ACCELERATION DIGITAL ANALOG TO DIGITIAL DATA ACQUISITION NUMERICAL PROCESSING INTEGRATION / DIFFERENTIATION

( )

i 1 i i 1 i 1 i i

x x 2 y y I I − + + =

+ + −

QUANTIZATION SAMPLING ALIASING LEAKAGE WINDOWS

DYNAMIC TESTING PULLS ALL THE PIECES TOGETHER !!!

T I M E F R E Q U E N C Y

X Y

TRANSDUCER CALIBRATION REGRESSION ANALYSIS HAMMER TIP CHARACTERIZATION FOURIER SERIES & FFT m k c x(t) f(t) SDOF DYNAMIC MODEL APPROXIMATION SYSTEM MODEL

100 10 1 ω/ωn ζ=0.1% ζ=1% ζ=2% ζ=5% ζ=10% ζ=20% ζ=0.1% ζ=1% ζ=2% ζ=5% ζ=10% ζ=20%
  • 90
  • 180
ω/ω n

) t ( f x k dt dx c dt x d m

2 2

= + + DIFFERENT PULSE SHAPES ) p s ( a ) p s ( a ) s ( h

* 1 * 1 1 1

− + − = FREE BODY DIAGRAM & EQUATION OF MOTION LAPLACE & TRANSFER FUNCTION t sin e m 1 ) t ( h

d t d

ω ω =

ζω −

FIRST & SECOND ORDER SYSTEMS SIGNAL CONDITIONER RISE & SETTLING TIME

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

The Problem Students generally do not understand how basic STEM (Science, Technology, Engineering and Math) material fits into all of their engineering courses Relationship of basic material to subsequent courses is unclear to the student. Practical relevance of the material is not clear. Students hit the “reset button” after each course not realizing the importance of STEM material

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

The Problem

Professor, why didn’t you tell us that the material covered in other courses was going to be really important for the work we need to do in this Dynamic Systems course ?

Student Comment: Hmmmmm... Professor Thoughts: Student views material in a disjointed fashion Professor clearly sees how pieces fit together

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

How to Solve the Problem A new multisemester interwoven dynamic systems project has been initiated This is to better integrate the material from differential equations, mathematical methods, laboratory measurements and dynamic systems This is done across several semesters/courses to help students better understand the relationship

  • f basic STEM material to an ongoing problem
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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

Some Key Components of This Work Analytical Modeling Tools/GUIs Website and Online Acquisition System Projects Integration/Differentiation w/contaminants Fourier Series using LabVIEW Design of a Dynamic Measurement System 1st and 2nd Order System Characterization (many additional smaller projects – see paper)

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

Webpage --- dynsys.uml.edu

Project Overview Technical Papers Tutorials Online Acquisition Downloads Acknowledgements People Tutorials cover a wide assortment

  • f integrated material – both

paper tutorials with Matlab and Labview modules with voice annotated multimedia overviews

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

Webpage --- dynsys.uml.edu Complete Imagemap of all materials available

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

Analytical Modeling Tools/GUIs

Theoretical Aspects of First and Second Order Systems First Order Systems

  • Modeling Step Response with ODE and Block Diagram

Second Order Systems

  • Step, Impulse, Initial Condition with ODE and Block Diagrams

Mathematical Modeling Considerations

  • Fourier Series, Integration/Differentiation, Regression Analysis

Miscellaneous Materials

  • Simulink and MATLAB Primer Materials
  • LabVIEW Tutorial Materials
  • Virtual Measurement Modeling Simulations
  • Integration/Differentiation Considerations with Contamination
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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

Analytical Modeling Tools/GUIs MATLAB & LabVIEW

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

COIL LEAF EQ

k k k + =

COIL LEAF EQ

k k k + = Variable Mass Variable Damping Variable Stiffness Impact Force Initial Displacement

System Characteristics Excitation

m k c x

Accelerometer LVDT

Measurement Devices

Online Measurement System

RUBE

Response Under Basic Excitation

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

RUBE II RUBE

Response Under Basic Excitation

RUBE I Online Measurement System

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

Online Measurement System

RUBE

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

Online Measurement System

RUBE

System can be remotely run Stiffness is changed for each run Sampling rate can be set Impact is available Initial displacements – three inputs LVDT and accelerometers can be turned on and off as desired Data saved and captured to browser

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

Contaminants Cause Difficulty Students learn with problems that make them think

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

Learn by Doing (not Listening) Fourier series come to life with LabVIEW

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

Dynamic Measurement System Design Integration of all material to design system

Cantilever Beam Laser Measurement Accelerometer Strain Gage Micrometer

Comparison of Non-Colocated Accelerometer, Laser and Strain Gage Approximations of Tip Displacement of Cantilever

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

Dynamic Systems Projects Projects integrated in with Lecture Material

  • Analytical project to force understanding of

ODE and Laplace along with MATLAB/Simulink

  • RUBE used to strengthen

understanding through system identification on less that perfect measurements

  • Filtering data through

1st order RC filter in Simulink

m k c x

Accelerometer LVDT

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

Brief Summarizing Statements Only a brief smattering of material presented here The 30 page paper has much more material. The website has a significant amount of material (tutorials, exercises, GUIs, etc) along with the online measurement system

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

This project is partially supported by NSF Engineering Education Division Grant EEC-0314875 Multi-Semester Interwoven Project for Teaching Basic Core STEM Material Critical for Solving Dynamic Systems Problems Peter Avitabile, John White, Stephen Pennell

Acknowledgements

TIME FREQUENCY

ACCELEROMETER IMPACT HAMMER FORCE GAGE HAMMER TIP FOURIER TRANSFORM LVDT DISPLACEMENT ACCELERATION DIGITAL ANALOG TO DIGITIAL DATA ACQUISITION NUMERICAL PROCESSING INTEGRATION / DIFFERENTIATION

( )

i 1 i i 1 i 1 i i

x x 2 y y I I − + + =

+ + −

QUANTIZATION SAMPLING ALIASING LEAKAGE WINDOWS

DYNAMIC TESTING PULLS ALL THE PIECES TOGETHER !!!

T I M E F R E Q U E N C Y

X Y

TRANSDUCER CALIBRATION REGRESSION ANALYSIS HAMMER TIP CHARACTERIZATION FOURIER SERIES & FFT m k c x(t) f(t) SDOF DYNAMIC MODEL APPROXIMATION SYSTEM MODEL

100 10 1 ω/ωn ζ=0.1% ζ=1% ζ=2% ζ=5% ζ=10% ζ=20% ζ=0.1% ζ=1% ζ=2% ζ=5% ζ=10% ζ=20%
  • 90
  • 180
ω/ω n

) t ( f x k dt dx c dt x d m

2 2

= + + DIFFERENT PULSE SHAPES ) p s ( a ) p s ( a ) s ( h

* 1 * 1 1 1

− + − = FREE BODY DIAGRAM & EQUATION OF MOTION LAPLACE & TRANSFER FUNCTION t sin e m 1 ) t ( h

d t d

ω ω =

ζω −

FIRST & SECOND ORDER SYSTEMS SIGNAL CONDITIONER RISE & SETTLING TIME

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20

  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

A special thanks to the students who have really been the driving force in making all this happen Tracy Van Zandt, Nels Wirkkala, Wes Goodman and Jeffrey Hodgkins Mechanical Engineering Department University of Massachusetts Lowell I could not have done any of this without their dedication and devotion to making this all happen I have the pleasure of working with them and having them contribute to this effort

Acknowledgements

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

And to the additional students who have also participated during the final year of the project Adam Butland, Dana Nicgorski, Aaron Williams, Chris Chipman Mechanical Engineering Department University of Massachusetts Lowell They have also made significant contributions to the overall project I am very happy for their continued support and dedication

Acknowledgements

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  • Dr. Peter Avitabile, Associate Professor

Mechanical Engineering Department Integrating Undergraduate Dynamic Systems

ASEE Conference – June 2007 – Hawaii

AN INTEGRATED UNDERGRADUATE DYNAMIC SYSTEMS TEACHING METHODOLOGY UTILIZING ANALYTICAL AND EXPERIMENTAL APPROACHES

Peter Avitabile Mechanical Engineering Department University of Massachusetts Lowell

TIME FREQUENCY

ACCELEROMETER IMPACT HAMMER FORCE GAGE HAMMER TIP FOURIER TRANSFORM LVDT DISPLACEMENT ACCELERATION DIGITAL ANALOG TO DIGITIAL DATA ACQUISITION NUMERICAL PROCESSING INTEGRATION / DIFFERENTIATION

( )

i 1 i i 1 i 1 i i

x x 2 y y I I − + + =

+ + −

QUANTIZATION SAMPLING ALIASING LEAKAGE WINDOWS

DYNAMIC TESTING PULLS ALL THE PIECES TOGETHER !!!

T I M E F R E Q U E N C Y

X Y

TRANSDUCER CALIBRATION REGRESSION ANALYSIS HAMMER TIP CHARACTERIZATION FOURIER SERIES & FFT m k c x(t) f(t) SDOF DYNAMIC MODEL APPROXIMATION SYSTEM MODEL

100 10 1 ω/ωn ζ=0.1% ζ=1% ζ=2% ζ=5% ζ=10% ζ=20% ζ=0.1% ζ=1% ζ=2% ζ=5% ζ=10% ζ=20%
  • 90
  • 180
ω/ω n

) t ( f x k dt dx c dt x d m

2 2

= + + DIFFERENT PULSE SHAPES ) p s ( a ) p s ( a ) s ( h

* 1 * 1 1 1

− + − = FREE BODY DIAGRAM & EQUATION OF MOTION LAPLACE & TRANSFER FUNCTION t sin e m 1 ) t ( h

d t d

ω ω =

ζω −

FIRST & SECOND ORDER SYSTEMS SIGNAL CONDITIONER RISE & SETTLING TIME