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

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

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

梅凤翔

Beijing Institute of Technology, Beijing

收稿日期:1990-06-20 出版日期:1991-08-18 发布日期:1991-08-18

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

Mei Feng-xiang

Beijing Institute of Technology, Beijing

Received:1990-06-20 Online:1991-08-18 Published:1991-08-18

摘要/Abstract

摘要： 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.

关键词: equations of motion, integral, higher-order nonholonomic system

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

梅凤翔. ONE TYPE OF INTEGRALS FOR THE EQUATIONS OF MOTION OF HIGHER-ORDER NONHOLONOMIC SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(8): 799-806.

Mei Feng-xiang . ONE TYPE OF INTEGRALS FOR THE EQUATIONS OF MOTION OF HIGHER-ORDER NONHOLONOMIC SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(8): 799-806.

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

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

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