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本文引用格式:龙运佳.Lagrange原著与广义动能原理[J].动力学与控制学报,2019,17(5):478~481;   Long Yunjia.Lagrange original & generalized principle of kinetic energy[J].Journal of Dynamics and Control,2019,17(5):478-481.
Lagrange原著与广义动能原理    点此下载全文
龙运佳
中国农业大学 力学系, 北京 100083
基金项目:
DOI:10.6052/1672-6553-2019-061
摘要:
      自古以来,学派林立,齐鸣共荣,殊途同归,如Newton派与非Newton派,又如多自由度系统动力学方法的微分派与非微分派,本文提出运动微分概念,得到与Lagrange原著失衡速度兼容的广义动能原理GPT(Generalized Principle of Kinetic Energy),T为动能Kinetic Energy,并阐明其在空天力学与地面力学中的应用,GPT是多自由度变参量系统动力学,实在、简便,一般的原理.
关键词:运动微分,动力学,动能,功率,失衡速度
Lagrange original & generalized principle of kinetic energy    Download Fulltext
Long Yunjia
Fund Project:
Abstract:
      Since the ancient times, schools of thought stands like a forest, prosperity and air views together, and different ways lead to the same goal, such as Newton and non Newton schools, and differential and non differential schools in dynamics. In this paper, the concept of kinetic differential was proposed, and the generalized principle of kinetic energy(GPT)was obtained, which is compatible with the virtual velocity in Lagrange′s original work (Analytical Mechanics). Its applications in aerospace dynamics and ground mechanics were expounded, which indicated that the GPT is an actual, easy and general principle of dynamics in the multi degree of freedoms (MDF) systems with variable parameters.
Keywords:kinetic differential,dynamics,kinetic energy,power,virtual velocity
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