SAMSI Workshop 2007 Team Four Scott McKinney Taylor Stewart Jessica Schenkel

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.

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.

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

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

Does the Spring Model fit our data?

Need a better model for our data Use Beam Model

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

Residual and QQ Plot using Beam model Time vs. Displacement

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.