摘要
文章建立了非惯性系中单面完整约束力学系统的D’Alembert-Lagrange原理,基于微分变分原理在无限小变换下的不变性,给出非惯性系中单面完整约束系统的Noether定理及其逆定理,最后举例说明定理的应用。
The principles of D’Alembert Lagrange of mechanical systems with unilateral constraints in non-inertial frame are established.Based upon the invariance of the differential variational principles under infinitesimal transformations,Noether’s theorem and its inverse theorem for the holonomic systems with unilateral constraints in noninertial frame are given.Finally an example is given to illustrate the application of the results.
出处
《苏州科技学院学报（自然科学版）》
CAS
2003年第2期21-25,共5页
Journal of Suzhou University of Science and Technology （Natural Science Edition）
关键词
单面约束
完整系统
变分原理
NOETHER定理
非惯性系
unilateral constraint
holonomic system
variational princples
Noether’s theorem
non-inertial frame
