Constraint Reaction Forces and Lagrange Multipliers in Multi-Body Systems

Abstract:

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The study performs the relation between the Lagrange multipliers and the constraint reaction forces in the multi-body systems. It helps to establish a simple and effective method to deal with the non-smooth factors including friction, contact and collision in multi-body systems. First, a general expression calculating the ideal constraint reaction forces is described by a form of complete Cartesian reference coordinate in a discrete dynamical system. Then, an explicit expression is given in the form of independent general generalized coordinates for a multi-body system. A condition under which the constraint reaction forces can be one-to-one corresponding to Lagrange multipliers is discussed. An example is used to demonstrate the process to realize the condition and the effectiveness of this method.

Info:

Periodical:

Advanced Materials Research (Volumes 97-101)

Edited by:

Zhengyi Jiang and Chunliang Zhang

Pages:

2824-2827

DOI:

10.4028/www.scientific.net/AMR.97-101.2824

Citation:

W. L. Yao and Y. S. Ren, "Constraint Reaction Forces and Lagrange Multipliers in Multi-Body Systems", Advanced Materials Research, Vols. 97-101, pp. 2824-2827, 2010

Online since:

March 2010

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Price:

$35.00

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