The modal reduction method for multi‐body dynamics with non‐smooth contact

Abstract

SUMMARYThe elastic multi‐body system dynamics is studied from the prospect of modal reduction. The bodies are seen as stiff, close to rigid, subjected to non‐smooth contact interactions, such as collisions and dry friction. The finite element degrees of freedom of the bodies are represented either through the method of a floating frame of reference or the classical small deformation method in the global frame. The numerical modal reduction strategy based on Craig–Bampton representation of the current degrees of freedom is suggested. The method is general and may be applied to both quasi‐static and dynamic simulations. The key modeling assumption for the method is that the neglected modes have constant response in time. Numerical experiments, where the method is examined and compared with modally full floating frame approach, show satisfying accuracy while achieving significant computational savings. Copyright © 2014 John Wiley & Sons, Ltd.

The method of a floating frame of reference for non-smooth contact dynamics

“…The next step in the research would be an introduction of some model reduction technique for the deforming part of the motion residing in the rigid frame only, in order to diminish the size of problem (25) and provide even better speed-up with insignificant sacrifice of accuracy, depending on use cases. An example of such work is given in (Lozovskiy, 2014).…”