Numerical Methods using MATLAB by Abhishek K Gupta

Author:Abhishek K Gupta
Language: eng
Format: epub
Publisher: Apress, Berkeley, CA

if δ is small enough, whereas for the event-based simulation, x(t) is discretized as

and the value of x(t) at the next event needs to be computed as

Let us take a simple example of a bouncing ball. Suppose a ball with elasticity constant e is dropped at velocity 0 from height h. The ball hits the ground with some velocity v and bounces back into the air with velocity v 1b =-v. It then goes up and comes back again to hit the ground with velocity v 1e and bounces back with velocity v 2b =-ev 1e . From the symmetry of flight we know that v ib =v ie for the ith bounce. Here each bounce is an event. Note that the velocity and locations are still changing continuously between events and we need to compute the ball’s motion until the next event ahead of time at the previous event itself. We know that at the ith bounce, the location of the ball is given by

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.