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变质量弱非完整系统相对于非惯性系的第一积分
引用本文:张毅.变质量弱非完整系统相对于非惯性系的第一积分[J].苏州科技学院学报(工程技术版),1995(1).
作者姓名:张毅
摘    要:本文首先建立了变质量弱非完整系统相对于非惯性系运动的D,Alembert-Lagrange原理和广义型方程,然后,研究并给出了变质量弱非完整系统相对于非惯性系运动的动力学方程在一阶近似情况下的广义循环积分和广义能量积分。文未,举两例说明结果的应用。

关 键 词:分析力学  弱非完整约束  变质量系统  非惯性系  循环积分  能量积分

FIRST INTEGRALS FOR VARIABLE MASS WEAKLY NONHOLONOMIC SYSTEMS RELATIVE TO NONINERTIAL REFERENCE FRAME
Zhang Yi.FIRST INTEGRALS FOR VARIABLE MASS WEAKLY NONHOLONOMIC SYSTEMS RELATIVE TO NONINERTIAL REFERENCE FRAME[J].Journal of University of Science and Technology of Suzhou:Engineering and Technology,1995(1).
Authors:Zhang Yi
Affiliation:Department of Basic Courses
Abstract:In this paper, the D'Alembert-Lagrange principle and the generalized chaplygin's equation for variable mass weakly nonholonomio systems moving relative to noninertial reference frame are established at first, and then the generalized energy integral and the generalized cyclic integral of the dynamical equations in the case of one-order approximation for the systems above are studied and presented. Finally, two examples are given to illustrate the application of the results.
Keywords:analytical mechanics  weakly nonholonomic constraint  variable mass system  noninertial reference frame  cyclic integral  energy integral
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