1. Project Numina II UNCW UNCW Inverse Problems for Vibrating Beams ICTCM – 2002 Orlando, FL. Russ Herman, Mathematics and Statistics Gabriel G. Lugo, Mathematics and Statistics University of North Carolina at Wilmington

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

3. Project Numina II UNCW UNCW The Problem Will add problem statement.. Does it differ between models?

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

5. Project Numina II UNCW UNCW Course Preparation

6. Project Numina II UNCW UNCW Experimental Setup

7. Project Numina II UNCW UNCW Experimental Results

8. Project Numina II UNCW UNCW UNCW Model Course Preparation Course Preparation Experimental Setup Experimental Setup Experimental Results Experimental Results

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

10. Project Numina II UNCW UNCW Experimental Setup Handheld Computers Handheld Computers Data Harvest DAQ Data Harvest DAQ Simple Springs and Meter Stick Simple Springs and Meter Stick

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

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

13. Project Numina II UNCW UNCW

14. Project Numina II UNCW UNCW Add sample spring data Experimental Results

15. Project Numina II UNCW UNCW Data Analysis Perhaps add only links to appropriate worksheets. Nonlinear Regression Nonlinear Regression Matlab Matlab MathCad MathCad Maple Maple Excel Excel Nonlinear Fitter Website Nonlinear Fitter Website

16. Project Numina II UNCW UNCW Comparison of Models Student Demographics Student Demographics Common Problems Common Problems Common Solutions Common Solutions Model Differences Model Differences

17. Project Numina II UNCW UNCW Summary The Problem The Problem NC State Model NC State Model UNCW Model UNCW Model Data Analysis Data Analysis Comparison of Models Comparison of Models

18. Project Numina II UNCW UNCW http://aa.uncwil.edu/numina Data Harvest Data Harvest GraphData GraphData Thank you! Russ Herman, hermanr@uncw.edu Gabriel G. Lugo, lugo@uncw.edu