Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (8): 799-806.

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ONE TYPE OF INTEGRALS FOR THE EQUATIONS OF MOTION OF HIGHER-ORDER NONHOLONOMIC SYSTEMS

Mei Feng-xiang   

  1. Beijing Institute of Technology, Beijing
  • Received:1990-06-20 Online:1991-08-18 Published:1991-08-18

Abstract: This paper presents one type of integrals and its condition of existence for the equations of motion of higher-order nonholonomic systems, including l-order integral (generalized energy integral), 2-order integral and p-order integral (p>2)All of these integrals can be constructed by the Lagrangian function of the system. Two examples are given to illustrate the application of the suggested method.

Key words: equations of motion, integral, higher-order nonholonomic system

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