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Modeling with Poisson's Posse

Modeling with Poisson's Posse. Kristoph Kleiner Alice Lou Nathan stokes. Data Collected. Measured the vibrations of a Thin beam caused by surface-mounted PZT patches Repeated the measurements ten times. Spring Model.

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Modeling with Poisson's Posse

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  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=Fnet 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

  6. The Optimized q0

  7. Side-by-Side Comparison

  8. Residual plot

  9. Comparison with normal PDF

  10. Thank You !

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