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高阶非Четаев型非完整约束系统的广义守恒律
GENERALIZED CONSERVATION LAW OF NONHOLONOMIC CONSTRAINTS SYSTEMS OF HIGHT-ORDER NON CHETAEV TYPE
【摘要】 给出高阶非Четаев型约束加在m次速度空间中虚位移上的条件,研究m次速度空间中的非等时变分与无穷小变换,建立高阶非Четаев型非线性非完整非有势系统的广义Noether定理,并推广到变质量系统以及非惯性系中。
【Abstract】 In this paper,the restricted conditions of virtual displaccment in m--order velocity space for nonholonomic constraints of highorder non Chetaev type is provided;and the non- isochronic variation and infinitesimal transformation of m-order velocity space is studied. And then,generalized Noether theorm of nonlinear nonholonomic nonpotial system of hiqh --order non chertacv type is extened. Finallyy, the theorem are generalized to variable mass system and noninertial frame.
【关键词】 分析力学;
非Четаев型约束;
非完整系;
Noether定理;
变质量非惯性系;
非等时变分;
【Key words】 Analytical mechanics; Constraints of non Chetaev type; Nonholonomic system Noether; Variable mass Noninertial frame; Nonisohronic variation;
【Key words】 Analytical mechanics; Constraints of non Chetaev type; Nonholonomic system Noether; Variable mass Noninertial frame; Nonisohronic variation;
【基金】 河南省自然科学基金
- 【文献出处】 河南科学 ,Henan Science , 编辑部邮箱 ,1993年Z1期
- 【被引频次】4
- 【下载频次】11