Studying Longitudinal Oscillations of a Stick

[Numeriprimi]

Hello. I have got question.
We have stick (its diameter is much smaller than its length). When you hit it with a hammer into a corner, some waves will spread, it is clear. However, how do they look? I'm interested in longitudinal oscillations stick. How can draw these wavefront? How their shape will change with time? How can I express numerically? Wave reaches the second end of the rod, and then reflected back to the point of contact. Is this correct? And then?

Thanks and sorry for my English.

 

[Drakkith]

This is pretty hard to try to explain in a thread, especially the drawing parts and how they change over time. Do you know anything about wave equations?

 

[Numeriprimi]

The wave equation ... I've seen it, but never really understood, it is hardcore for me yet :-( . I must solve an example with it? It is needed for drawing wavefront?