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Nonlinear Dynamics Vol. 60(1-2), pp. 63-79, 2009

Summary: Nonlinear Dynamics
Vol. 60(1-2), pp. 63-79, 2009
Modeling Intermittent Contact for Flexible Multibody Systems
Kishor D. Bhalerao Kurt S. Anderson
Received: date / Accepted: date
Abstract This paper consists of two parts. The first part presents a complementarity based
recursive scheme to model intermittent contact for flexible multibody systems. A recursive
divide and conquer framework is used to explicitly impose the bilateral constraints in the
entire system. The presented approach is an extension of the hybrid scheme for rigid multi-
body systems to allow for small deformations in form of local mode shapes. The normal
contact and frictional complementarity conditions are formulated at position and velocity
level, respectively, for each body in the system. The recursive scheme preserves the essential
characteristics of the contact model and formulates a minimal size linear complementarity
problem at logarithmic cost for parallel implementation.
For a certain class of contact problems in flexible multibody systems, the complemen-
tarity based time stepping scheme requires prohibitively small time-steps to retain accuracy.
Modeling intermittent contact for this class of contact problems motivated the development
of an iterative scheme. The second part of the paper describes this iterative scheme to model
unilateral constraints for a multibody system with relatively fewer contacts. The iterative
scheme does not require a traditional complementarity formulation and allows the use of


Source: Anderson, Kurt S. - Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute


Collections: Computer Technologies and Information Sciences