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Main Title: Regularization of nonlinear equations of motion of multibody systems by index reduction with preserving the solution manifold
Author(s): Steinbrecher, Andreas
Type: Research Paper
Abstract: Different types of solution behavior for equations of motion of multibody systems with respect to deviate from the solution manifold and numerical instabilities are considered. An algorithm is presented that reduces the index of linear and nonlinear equations of motion of multibody systems in the usually used form by preserving all information about the solution manifold. The reduction is obtained by analyzing only the constraint matrix, the mass matrix and the transformation matrix. This technique allows the construction of a strangeness-free form which is suitable for numerical integration using stiff ODE solvers. The here presented algorithm is the generalization of the already developed algorithm for linear equations of motion. The obtained results are illustrated by a numerical example.
Subject(s): multibody systems
equations of motion
solution manifold
index reduction
Issue Date: 12-Jul-2002
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 70E55 Dynamics of multibody systems
65L80 Methods for differential-algebraic equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2002, 742
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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