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- W2236093925 abstract "摘要 用积分因子方法研究准坐标下广义非保守系统Lagrange方程的守恒定理.列写系统的运动微分方程，给出它的积分因子的定义.研究守恒量存在的必要条件.建立系统的守恒定理及其逆定理，并举例说明结果的应用. 关键词: 准坐标 / Lagrange方程 / 积分因子 / 守恒量 Abstract The conservation theorems of the Lagrange's equations for generalized nonconservative systems in terms of quasi-coordinates are studied by using the method of integrating factors. The differential equations of motion of systems are written. The definition of integrating factors is given. The necessary conditions for the existence of the conserved quantity are studied in detail. Finally, the conservation theorem and its inverse are established, and an example is given to illustrate the application of the result. Keywords: quasi-coordinate / Lagrange's equation / integrating factor / conserved quantity 作者及机构信息 郑世旺2, 乔永芬1 (1)东北农业大学工程学院，哈尔滨 150030; (2)商丘师范学院物理系，商丘 476000 基金项目: 黑龙江省自然科学基金(批准号：9507)资助的课题. Authors and contacts Zheng Shi-Wang2, Qiao Yong-Fen1 (1)东北农业大学工程学院，哈尔滨 150030; (2)商丘师范学院物理系，商丘 476000 参考文献 施引文献" @default.
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- W2236093925 date "2006-01-01" @default.
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- W2236093925 title "Integrating factors and conservation theorems of Lagrange’s equations for generalized nonconservative systems in terms of quasi-coordinates" @default.
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