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A New Approach to Eliminate the Constraints Violation at the Position and Velocity Levels in Constrained Mechanical Multibody Systems

  • P. FloresEmail author
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 24)

Abstract

In this work, a general and comprehensive methodology to eliminate the constraints violation at the position and velocity levels is presented. This new approach is derived under the framework of multibody dynamics formulation The basic idea of this methodology is to add corrective terms to the position and velocity vectors with the intent to satisfy the corresponding kinematic constraint equations. These corrective terms are evaluated as function of the Moore-Penrose generalized inverse of the Jacobian matrix and of the kinematic constraint equations. A planar four bar mechanism is used as a demonstrative example of application, which allows to show the effectiveness of presented method.

Keywords

Constraints violation Equations of motion Multibody systems 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.University of MinhoBragaPortugal

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