One Type of Integrals for the Equations of Motion of Higher-Order Nonholonomic Systems

Mei Feng-xiang

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Mei Feng-xiang. One Type of Integrals for the Equations of Motion of Higher-Order Nonholonomic Systems[J]. Applied Mathematics and Mechanics, 1991, 12(8): 749-756.

Citation:

Mei Feng-xiang. One Type of Integrals for the Equations of Motion of Higher-Order Nonholonomic Systems[J]. Applied Mathematics and Mechanics, 1991, 12(8): 749-756.

Citation:

Mei Feng-xiang. One Type of Integrals for the Equations of Motion of Higher-Order Nonholonomic Systems[J]. Applied Mathematics and Mechanics, 1991, 12(8): 749-756.

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One Type of Integrals for the Equations of Motion of Higher-Order Nonholonomic Systems

Mei Feng-xiang

Beijing Institute of Technology, Beijing

Received Date: 1990-06-20
Publish Date: 1991-08-15

Abstract

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.
- equations of motion,
- integral,
- higher-order nonholonomic system

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References(8)

References

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