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

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

3. Outline
Collect Data
Choose Model
Spring
Results
Evaluate the Model

4. 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.

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

6. Residual vs. Fitted Value in Set 9

7. Residual vs. Fitted Value in Set 7

8. Residual vs. Time in Sets 7 & 8

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

10. 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!!!!