非惯性系中单面约束系统的微分变分原理  

Differential variational principles of systems with unilateral constraints in non-inertial reference frame

作　　者：谢小明[1] 张毅[1] 

机构地区：[1]苏州科技学院土木系,江苏苏州215011

出　　处：《商丘师范学院学报》2003年第5期1-4,共4页Journal of Shangqiu Normal University

基　　金：江苏省高校自然科学基金;江苏省青蓝工程基金;苏州科技学院科研基金(21)

摘　　要：研究非惯性系中单面约束力学系统的微分变分原理.得到了具有单面完整和单面Chetaev型非完整约束的力学系统的D’Alembert原理、Jourdain原理和Gauss原理,给出了非惯性系中单面约束系统带乘子形式的各类运动方程。To study the differential variational principles of mechanical systems with unilateral constraints. The principle of D'Alembert, the principle of Jourdain and the principle of Gauss of mechanical systems with unilateral holonomic constraints or with unilateral Chetaev non-holonomic constraints are obtained, and the equations of motion with multipliers of systems with unilateral constraints in Non-Inertial Reference Frame are given.

关 键 词：非惯性系 单面约束系统 微分变分原理 完整系统 非完整系统 D’Alembert原理 Jourdain原理 Gauss原理 

分 类 号：O316[理学—一般力学与力学基础]