非完整系统分析动力学中的几个重要问题

On Some Important Problems in Analytical Dynamics of Non-Holonomic Systems

摘要: 本文从变分原理和分析约束的力学性质两个方面入手,首次用演绎法推导出Chetaev条件,并且进行了验证,指出认为对非完整系统分析动力学d-δ交换性不成立的观点实际上是一种误解.在此基础上,首次提出非完整系统分析动力学中的两个经典关系.最后,进一步讨论了积分变分原理应用于非完整系统的问题.
- 分析动力学 /
- 变分原理 /
- 非完整系统 /
- 演绎法 /
- Chetaev条件
Abstract: By using deductive method, Chetaev condition is derived in this paper. We point out that the processes of variation and differentiation are not permutable in non-holonomic dynamics is a misunderstanding. The paper gives two classical relations of non-holonomic systems and points out integral variational principles can be applied in non-holonomic systems.
- analytical dynamics /
- variational principle /
- non-holonomic systems /
- the deductive method /
- Chetaev condition

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