@inproceedings{fdeef6c0b2ae4ac1bef747f496abdde4,
title = "A new approach towards the numerical integration of multibody systems with unilateral constraints",
abstract = "The topic of this work is modelling and numerical integration of rigid multibody systems with unilateral contacts. The unsteady behaviour because of impacts or stick-slip transitions in such systems lead to diverse problems in the numerical integration of the equations of motion. This paper discusses different possibilities to formulate the set-valued force laws and the dynamic equations. The structure of the resulting system of equations is closely related to two commonly used integration methods which are well suited to certain kinds of technical systems but provide drawbacks as well. By a combination of the {"}event-driven{"} and {"}times-tepping{"} integration this work wants to overcome their disadvantages. The operation and implementation of the new scheme will be discussed, especially focusing the criteria to switch between the two sub-modes. Academic examples are used for demonstration of this scheme.",
keywords = "Event-driven integration, Indicator function, Multibody simulation, Nonsmooth systems, Switch point detection, Time integration, Time-stepping integration, Unilateral contacts",
author = "Bastian Esefeld and Heinz Ulbrich",
year = "2012",
language = "English",
isbn = "9783950353709",
series = "ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers",
pages = "1644--1662",
booktitle = "ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers",
note = "6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 ; Conference date: 10-09-2012 Through 14-09-2012",
}