Paper Title:
Constraint Reaction Forces and Lagrange Multipliers in Multi-Body Systems
  Abstract

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, 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
$32.00
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