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变质量非完整Vacco动力学系统的积分因子和守恒定理
引用本文:乔永芬,张耀良,韩广才.变质量非完整Vacco动力学系统的积分因子和守恒定理[J].商丘师范学院学报,2003,19(2):1-6.
作者姓名:乔永芬  张耀良  韩广才
作者单位:1. 东北农业大学,工程学院,黑龙江,哈尔滨,150030
2. 哈尔滨工程大学,二系,黑龙江,哈尔滨,150001
基金项目:国家自然科学基金资助项目(19872022)
摘    要:提出了动力学系统守恒定律构成的一般途径。首先,给出运动微分方程积分因子的定义,详细地研究了守恒量存在的必要条件.其次,建立了变质量非完整Vacco动力学系统的守恒定理及其逆定理.最后,举例说明结果的应用。

关 键 词:变质量非完整Vacco动力学系统  守恒定理  积分因子  分析力学  非完整约束
文章编号:1672-3600(2003)02-0001-06
修稿时间:2002年6月20日

Integrating factors and conservation theorems for variable mass nonholonomic Vacco dynamical systems
QIAO Yong-fen,ZHANG Yao-liang,HAN Guang-cai.Integrating factors and conservation theorems for variable mass nonholonomic Vacco dynamical systems[J].Journal of Shangqiu Teachers College,2003,19(2):1-6.
Authors:QIAO Yong-fen  ZHANG Yao-liang  HAN Guang-cai
Abstract:In this paper, a general approach to the construction of conservation laws for Vacco dynamical systems were presented. Firstly, the definition of integrating factors was given. Secondly, necessary conditions for existence of the conserved quantities were studied in detail. Then the conservation theorem and its inverse theorem for the variable mass nonholonomic Vacco dynamical systems were established. Finally, an example was given to illustrate the application of the results.
Keywords:variable mass  nonholonomic constraint  Vacco dynamical system  integrating factor  conservation theorem
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