Statistical Analysis of the Vibrating Beam

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Presentation transcript:

Statistical Analysis of the Vibrating Beam THE GROUP Amanda Criner Kimberly Sacha LeVar Henderson

Project Goal Which mathematical models can be used to describe the vibrating beam?

Outline Collect Data Choose Model Spring Results Evaluate the Model

The Spring Model Equation Assumptions y’’ + Cy’ + Ky = 0 y(0)=y0, y0’=0 Assumptions The beam is behaving like a spring. The only forces are the force of the spring, friction and the voltage. The voltage is one kick.

Data C7=0.8630 C8=0.7010 C9=0.7753 K7=1,545 K8=1,567 K9=1,543

Residual vs. Fitted Value in Set 9

Residual vs. Fitted Value in Set 7

Residual vs. Time in Sets 7 & 8

QQ Plot of Sample Data vs. Standard Normal in Sets 7-9

Conclusions GOOD ENOUGH FOR US? Yes! Good introduction to modeling physical phenomena Simple enough to experiment with: Optimization algorithms Statistical analysis =Good learning tool WE AREN’T BUILDING A BRIDGE TODAY True tad!!!!