摘要
全面研究了Noether定理的发展历史与现状。定义m次相对速度空间,构造变质量力学系统相对于非惯性系的Lagrange函数,建立变质量任意阶非线性非完整系统相对于非惯性参考系的万有D'Alembert-Lagrange变分原理,提出并证明了这类系统的广义Noether定理,研究了其守恒量,并加以讨论。惯性系和常质量系统的各种Noether定理均是本文定理的特款。
Tke m-order relative velocity space is established and the Lagrange function of variable mass system in noninertial reference frame is constructed, and the universal D'Alembert-Lagrange principles of variable mass higher-order nonlinear nonholonomic nonpotential system in noninertial reference frame are obtained; then, the generalized Noether theorem of variable mass higher-order nonlinear nonholonomic nonpotential-systems in general noninertial reference frame is derived, it's conservation laws is studied. All Noether theorems in inertial reference frames and constant mass systems are special cases of the generalized Noether theorem.
出处
《江西科学》
1992年第3期131-137,共7页
Jiangxi Science
基金
河南省自然科学基金资助项目
关键词
分析力学
NOETHER定理
非惯性系
Analytical mechanics, Noether theorem, Highet-order non-holonomic constraint,Variable mass, Noninertial reference frame
