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Comprehensive Study of Inverse Problems in Vibrating Beams

Explore two models - NC State and UNC Wilmington - with detailed course preparation, experimental setups, and results analysis using Matlab, MathCad, Maple, and Excel. Compare models, analyze data, and summarize findings.

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Comprehensive Study of Inverse Problems in Vibrating Beams

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  1. Inverse Problems for Vibrating BeamsICTCM – 2002 Orlando, FL. Russ Herman, Mathematics and Statistics Gabriel G. Lugo, Mathematics and Statistics University of North Carolina at Wilmington

  2. Outline of Presentation • The Problem • NC State Model • Course Preparation • Experimental Setup • Experimental Results • UNCW Model • Course Preparation • Experimental Setup • Experimental Results • Data Analysis • Matlab, MathCad, Maple, Excel, Websites – Nonlinear Regression • Comparison of Models • Summary

  3. Will add problem statement .. Does it differ between models? The Problem

  4. Need to add pics of NC State model and maybe Berkeley Model, info about students and type of model, results, … NC State Model Course Preparation Experimental Setup Experimental Results

  5. Course Preparation

  6. Experimental Setup

  7. Experimental Results

  8. UNCW Model • Course Preparation • Experimental Setup • Experimental Results

  9. Course Preparation • Introduction to Harmonic Oscillators • Pre-project Work • Verify form of solutions • Graphing Typical Solutions • Fitting Simulated Solutions

  10. Experimental Setup • Handheld Computers • Data Harvest DAQ • Simple Springs and Meter Stick

  11. HP Jornada 720 Handheld Computers • StrongArm CPU (206 MHz) • 32 MB RAM • 640 x 240 Color Display • Compact Flash Type I & PC Card Type II Slots • RS232C serial & IrDA ports, 115Kbps • 56k Modem • 9-Hour Li-ion Battery • MS HPC2000 v. 3 OS

  12. Data Harvest DATAQ System • 12-bit DATAQ system • Numerous probes • Serial interface or CF+ unit • Software runs on HPC, PPC, and desktop computers

  13. Add sample spring data Experimental Results

  14. Data Analysis • Nonlinear Regression • Matlab • MathCad • Maple • Excel • Nonlinear Fitter Website Perhaps add only links to appropriate worksheets.

  15. Comparison of Models • Student Demographics • Common Problems • Common Solutions • Model Differences

  16. Summary • The Problem • NC State Model • UNCW Model • Data Analysis • Comparison of Models

  17. http://aa.uncwil.edu/numina Thank you! • Data Harvest • GraphData Russ Herman, hermanr@uncw.edu Gabriel G. Lugo, lugo@uncw.edu

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