| 高阶非Четаев型非完整约束系统的广义守恒律 |
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| 引用本文： | 罗绍凯,苏正雷.高阶非Четаев型非完整约束系统的广义守恒律[J].河南科学,1993(Z1). |
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| 作者姓名： | 罗绍凯 苏正雷 |
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| 作者单位： | 商丘师范高等专科学校，商丘师范高等专科学校 河南 476000，河南 476000 |
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| 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。
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| 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 |
GENERALIZED CONSERVATION LAW OF NONHOLONOMIC CONSTRAINTS SYSTEMS OF HIGHT-ORDER NON CHETAEV TYPE |
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| Luo Shaokai,Su Zhenglei Shangqiu Teachers College,Henan.GENERALIZED CONSERVATION LAW OF NONHOLONOMIC CONSTRAINTS SYSTEMS OF HIGHT-ORDER NON CHETAEV TYPE[J].Henan Science,1993(Z1). |
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| Authors: | Luo Shaokai Su Zhenglei Shangqiu Teachers College Henan |
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| Institution: | Luo Shaokai,Su Zhenglei Shangqiu Teachers College,Henan 476000 |
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| 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. |
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| Keywords: | Analytical mechanics Constraints of non Chetaev type Nonholonomic system Noether Variable mass Noninertial frame Nonisohronic variation |
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