1. SAMSI Workshop 2007 Team Four
Scott McKinney
Taylor Stewart
Jessica Schenkel

2. What is the deal? Given data from a Vibrating Beam experiment
Goal is to fit data to a mathematical model
Dependent variable: displacement
Independent variable: time
Given three data sets- but for time we will only be looking at one.

3. The Spring Model
Why use the spring model? Aren’t we using a beam model?
The beam can actually be seen as a set of springs that work collaboratively.
Beam model is much more sophisticated and complex.

4. The Spring Model
Choose parameters C and K which allow model to best fit the data

5. Results using Spring Model
Spring Model fit vs. actual data
Time vs. Residual

6. Does the Spring Model fit our data?

7. Need a better model for our data
Use Beam Model

8. What needs to Change
Frequency- our model is oscillating to quickly

9. Residual and QQ Plot using Beam model
Time vs. Displacement

10. Conclusions
Beam model is not perfect; however, this model is significantly better than the preceding Spring model.
Could try to use a Spline fitting model in order to further increase accuracy
This takes more time and is more complex, but this gives more accurate results.