1. Modeling with Poisson's Posse Kristoph Kleiner Alice Lou Nathan stokes

2. Data Collected  Measured the vibrations of a Thin beam caused by surface-mounted PZT patches  Repeated the measurements ten times

3. Spring Model  Initial approach: to understand modeling vibrations, we first considered the underdamped spring model, my’’+By’+ky=F net However, this model was a poor fit for the beam data.

4. First model using raw data

5. Descriptive Statistics  Standard deviation C= 0.1118 K= 6.8544 CK 0.91.510e+003 0.71.556e+003 0.51.5595e+003 0.61.5546e+003 0.81.5454e+003 0.61.5376e+003 0.51.5501e+003 0.61.5474e+003 0.61.5474e+003 0.81.5565e+003

7. The Optimized q 0

8. Side-by-Side Comparison

9. Residual plot

10. Comparison with normal PDF

11. Thank You !