Dynamics of impacts with a table moving with piecewise constant velocity

作者：Okninski Andrzej^*; Radziszewski Boguslaw

来源：Nonlinear Dynamics, 2009, 58(3): 515-523.

DOI：10.1007/s11071-009-9497-9

• Nonsmooth dynamics
• Bouncing ball
• Exact solutions

Dynamics of a ball moving in gravitational field and colliding with a moving table is considered. The motion of the limiter is assumed as periodic with piecewise constant velocity. It is assumed that the table moves up with a constant velocity and then goes down with another constant velocity. The Poincar, map describing evolution from an impact to the next impact is derived. Several classes of solutions are computed in analytical form.

• 出版日期2009-11