Physics - Collision in 3 dimensions with Friction

first calculate approach velocity of the points on each object that collide:

uia = via + wia x ria
uib = vib + wib x rib

approach velocity = u = uia - uib

normal velocity component = u•n*n
tangential velocity component = u-(u•n*n)

Then in addition to calculating the impulse Jnorm to stop or reverse the normal approach velocity we also need to calculate the impulse Jtang to stop the tangential approach velocity

Then calculate the total impulse J which is made up from all of Jnorm + some of Jtang depending on the friction coefficient or collision parameter in the paper.

If we want to include sliding or continuous contact then we replace Jtang the
tangential impulse with a continuous tangential force. I think this makes things a lot more complicated as we need to know the contours of both objects along the sliding faces so there is not a formula that we can use if we have complex shapes.


metadata block
see also:

 

Correspondence about this page

Book Shop - Further reading.

Where I can, I have put links to Amazon for books that are relevant to the subject, click on the appropriate country flag to get more details of the book or to buy it from them.

 

cover Dynamics of Multibody Systems

Commercial Software Shop

Where I can, I have put links to Amazon for commercial software, not directly related to the software project, but related to the subject being discussed, click on the appropriate country flag to get more details of the software or to buy it from them.

 

This site may have errors. Don't use for critical systems.

Copyright (c) 1998-2023 Martin John Baker - All rights reserved - privacy policy.