how to plot rolling radius difference function for rail wheel contact?

Hi,

I have the data points that represent the profile of the rail and wheel. What I want to plot is how the rolling radius difference changes for a given lateral disaplacement of the wheel set. In other words I want to plot the RRD( Rolling Radius Difference ) wrt to lateral displacement. I had attached the data points file for both Rail and wheel. Hope this information helps.

Thanks.

Sai Prakash.

[Adam Danz]

Perhaps you could illustrate the problem to explain the goal.

[venkata sai prakash koppisetti]

Hi Adam,

RRD( Rolling Radius Difference ) is the difference in the rolling radius between the left and right wheel of a wheel set. To pass a sharp curved track without slippage between wheels and rails an appropriate RRD of the wheelset is needed. While taking a turn there will a certain lateral displacement of the wheel against the rails. what I want to do with the matlab is to plot the RRD against the lateral displacement of the wheel set. The main issue I am facing is eventhough I have the profile of the wheel and rail, I'm not sure as to how to use the profile of the wheel to generate lateral motion and find the point of contact between the rail and wheel. Hope I've given sufficient insight.

Thanks in advance.

[venkata sai prakash koppisetti]

r0 being the radius of the wheel when the wheel set is symmetric to both the rails

rL being the rolling radius of left wheel

rR being the rolling radius of right wheel

yw is the lateral displacement of the wheel set

O is the center of mass

[Adam Danz]

Thanks, that makes sense. If your question is now to compute lateral displacement of RRD, I suggest you google "how to calculate Rolling Radius Difference and lateral displacement" or search for it in Google Scholar. I'm sure these equations are described previously.

If you already have the data and need help plotting it, let me know where you're stuck.