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高阶非完整系力学若干问题(Ⅰ)
SOME PROBLEMS OF MECHANICAL SYSTEMS WITH NON-HOLONOMIC CONSTRAINTS OF HIGHER ORDER(1)
【摘要】 本文第一部分内容是给出高阶非完整系力学场方程算子(关于迄今知道类型的)的全部等价(恒等)形式。第二部分内容是推广二种著名的交换关系,证明了关于场方程及各种积分原理是等价的。
【Abstract】 In the first part of the paper,all equivalent forms of dynamic equations with non-holonomic constraints of higher order are presented. In the Second part, the two reciprocal relationships are developed, and it is proved that they are equivalent for derving the dynamic equations and variational principles.
【关键词】 高阶;
算子;
非完整系;
交换关系;
【Key words】 higher-order; operator; non-holonomic system; reciprocal relationships;
【Key words】 higher-order; operator; non-holonomic system; reciprocal relationships;
- 【文献出处】 武汉工学院学报 , 编辑部邮箱 ,1988年02期
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