关于虚功率原理的若干讨论

SOME PERSPECTIVES TO THE PRINCIPLE OF VIRTUAL POWER

  • 摘要: 本文从多体系统动力学角度出发,对虚功率原理来源的普遍性、复杂系统的普适性、建模求解的应用性、研究对象的物质性等进行系统阐述和总结;解释了虚功率原理、动能定理、牛顿定律三者间的关系;结合几何非线性梁、滑轮绳索系统,论述了一些关于虚功率原理的新颖认知;希望能够在统一对虚功率原理的认识、形成贯通一致的虚功率原理描述体系等方面起到抛砖引玉的作用。

     

    Abstract: From the perspective of multi-body system dynamics, this paper systematically expounds and summarizes the universality of the source of law, the universality of complex system, the applicability of modeling and solving, and the materiality of the research object for the principle of virtual power. In accordance of the law of conservation of energy, the relation among the principle of virtual power, the law of kinetic energy and Newton's law is explained. Combining the characteristics of geometric nonlinear beam and pulley rope system with dual properties of both solid and fluid, some new ideas on the principle of virtual power are discussed. This paper is helpful to deepen the understanding of the virtual power principle, and it is also expected to provide a theoretical reference for the modeling and solving of complex multi-body systems with different forms.

     

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