一类非完整力学系统的Lagrange方程

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Lagrange Equation of a Class of Nonholonomic Systems

摘要: 本文从变分原理出发,利用[1]的结论;(1)d-δ运算是可交换的;(2)限制虚位移的Appell-Chetaev条件是多余的,导出一类一阶非线性非完整力学系统的不带乘子的Lagrange方程.这种形式的方程是新的.
- 非完整力学 /
- d-δ交换性 /
- Appll-Chetaev条件 /
- Lagrange方程
Abstract: Making use of conclusions from [1]: (1) d-δ operations are commutative; (2) the Appell-Chetaev condition restricting virtual displacements is superfluous, the present paper derives the Lagrange equation without multipliers for a class of first-order nonlinear nonholonomic dynamical systems by means of variational principle. This kind of equations is new.
- nonholonomic dynamics /
- d-δ commutativity /
- Appell-Chetaev condition /

[1]	Guo thong-heng and Gao Pu-yun,On the classic nonholonomic dynamics,Acta Meclj,Sinica,5(1989),253-259.
[2]	梅凤翔,《非完整系统力学基础》,北京工业学院出版社,北京(1985).
[3]	梅凤翔,《非完整动力学研究》,北京工业学院出版社、北京(1987).