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AN ALGEBRAIC STRUCTURE OF CHAPLYGIN′S EQUATIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1996, 28(3): 328-335. DOI: 10.6052/0459-1879-1996-3-1995-337
Citation: AN ALGEBRAIC STRUCTURE OF CHAPLYGIN′S EQUATIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1996, 28(3): 328-335. DOI: 10.6052/0459-1879-1996-3-1995-337
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AN ALGEBRAIC STRUCTURE OF CHAPLYGIN′S EQUATIONS

  • 北京理工大学应用力学系,100081

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    • Abstract
  • The present paper studies the algebraic structure of Chaplygin's equations of nonholonomic systems. First, it gives a contravariant algebraic form of the equations. Secondly, it proves that they possess a consistant algebraic structure and a Lie algebraic structure under some conditions. Finally,it gives two examples to illustrate the application of the result.
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