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Integrating Factors and Conservation Theorems of Lagrangian Equations for Nonconservative Mechanical System in Generalized Classical Mechanics

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Communications in Theoretical Physics 2006年第1X期46卷 43-45页

作者： qiao yong-fen ZHAO Shu-Hong Department of Mechanical Engineering and Automation Zhejiang Science and Technology University Hangzhou 310018 China Engineering College of Northeast Agricultural University Harbin 150030 China

The conservation theorems of the generalized Lagrangian equations for nonconservative mechanical system are studied by using method of integrating factors. Firstly, the differential equations of motion of system are given, and the definition of integrating factors is given. Next, the necessary conditions for the existence of the conserved quantity are studied in detail. Finally, the conservation theorem and its inverse for the system are established, and an example is given to illustrate the application of the result.

关键词： generalized nonconservative system Lagrangian equation conservation theorem integrating factor

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Integrating Factors and Conservation Theorems for the Nonholonomic Singular Lagrange System

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Communications in Theoretical Physics 2007年第5X期48卷 791-794页

作者： ZHAO Shu-Hong LIANG Li-Fu qiao yong-fen School of Civil Engineering of Harbin Engineering University Harbin 150001 China Engineering College of Northeast Agricultural University Harbin 150030 China

We present a general approach to the construction of conservation laws for the nonholonomic singular Lagrange system. Firstly, the differential equations of motion of the system are written, the definition of integrating factors is given for the system. Next, the necessary conditions for the existence of the conserved quantity are studied in detail. Finally, the conservation theorem and its inverse are established for the system, an example is given to illustrate the application of the result.

关键词： analytical mechanics singular system integrating factor conserved quantity

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Integrating Factors and Conservation Theorems of Nonholonomic Dynamical System of Relative Motion

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Communications in Theoretical Physics 2007年第2期47卷 217-220页

作者： qiao yong-fen ZHAO Shu-Hong LI Ren-Jie Engineering College of Northeast Agricultural University Harbin 150030 China Faculty of Science Laiyang Agricultural College Laiyang. 265200 China

The integrating factors and conservation theorems of nonholonomic dynamical system of relative motion are studied. First, the dynamical equations of relative motion of system are written. Next, the definition of integrating factors is given, and the necessary conditions for the existence of the conserved quantities are studied in detail. Then, the conservation theorem and its inverse of system are established. Finally, an example is given to illustrate the application of the result.

关键词： nonholonomic system relative motion integrating factor conservation theorem

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Poincar-Chetaev变量下变质量非完整动力学系统的运动方程

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物理学报 2001年第5期50卷 805-810页

作者：乔永芬赵淑红东北农业大学哈尔滨150030

研究Poincar啨 Chetaev变量下 ,变质量非线性非完整力学系统的运动方程 .首先 ,由变质量力学系统的D’Ale mbert Lagrange原理导出Chaplygin型方程、Nielsen型方程及Appell型方程 .其次 ,研究Chaplygin方程与Appell方程的等价性问题 .最... 详细信息

研究Poincar啨 Chetaev变量下 ,变质量非线性非完整力学系统的运动方程 .首先 ,由变质量力学系统的D’Ale mbert Lagrange原理导出Chaplygin型方程、Nielsen型方程及Appell型方程 .其次 ,研究Chaplygin方程与Appell方程的等价性问题 .最后 ,举例说明新结果的应用 .