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Applied Mathematics and Mechanics

, Volume 14, Issue 3, pp 285–298 | Cite as

Routh's equations for general nonholonomic mechanical systems of variable mass

  • Luo Yao-huang
  • Zhao Yong-da
Article

Abstract

In this paper, Routh's equations for the mechanical systems of the variable mass with nonlinear nonholonomic constraints of arbitrary orders in a noninertial reference system have been deduced not from any variational principles, but from the dynamical equations of Newtonian mechanics. And then again the other forms of equations for nonholonomic systems of variable mass are obtained from Routh's equations.

Key words

Routh's equations variable mass system nonholonomic constraint noninertial reference system 

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Copyright information

© Shanghai University of Technology (SUT) 1993

Authors and Affiliations

  • Luo Yao-huang
    • 1
  • Zhao Yong-da
    • 2
  1. 1.Yunnan UniversityKunming
  2. 2.Yunnan Institute of EducationKunming

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