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On the GAUSS Principle in the Numerical Integration of Mechanical Systems

  • S. Sparschuh
  • P. Hagedorn
Part of the NATO ASI Series book series (volume 69)

Abstract

Here we consider mechanical systems with their configuration described by the in general non-minimal coordinates q1,q2,…,qn which we arrange in a column matrix as q := (q1,q2,…,qn)T The system is subjected to constraints of the form
$${{c}_{i}}(q,\dot{q},t) = 0,i = 1,2, \ldots ,m$$
(1)
which we also write as
$$c(q,\dot{q},t): = {{({{c}_{1}},{{c}_{2}}, \ldots {{c}_{m}})}^{T}} = 0$$
(2)

Keywords

Mechanical System Discretized Form Nonholonomic System Column Matrix Difference Quotient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • S. Sparschuh
    • 1
  • P. Hagedorn
    • 1
  1. 1.Institut für MechanikTHDarmstadtWest Germany

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