连续介质分析动力学及其应用
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摘要
综述了国内和国外学者研究连续介质分析动力学问题的进展,阐明了本文主要论述将Lagrange方程应用于连续介质动力学的问题.论文采用Lagrange-Hamilton体系,分别论述了非保守非线性弹性动力学、不可压缩黏性流体动力学、黏弹性动力学、热弹性动力学、刚–弹耦合动力学和刚–液耦合动力学的Lagrange方程及其应用.论述了应用Lagrange方程建立有限元计算模型的问题.最后,展望了将Lagrange方程应用于连续介质动力学问题的研究前景.
First, the studying progress of domestic and foreign scholars on analytical dynamics of continuum is reviewed. This paper mainly studies the problem of applying the Lagrange equation to the continuum dynamics. By using Lagrange-Hamilton system, Lagrange equations and their applications are investigated for non-conservative nonlinear elastic dynamics, incompressible viscous ?uid dynamics, viscoelastic dynamics, thermal elastic dynamics, rigid-elastic coupling dynamics and rigid-liquid coupling dynamics. The establishment of ?nite element calculation model by using Lagrange equation was analyzed. Finally,the prospects of applying the Lagrange equation to problems of the continuum dynamics are discussed.
First, the studying progress of domestic and foreign scholars on analytical dynamics of continuum is reviewed. This paper mainly studies the problem of applying the Lagrange equation to the continuum dynamics. By using Lagrange-Hamilton system, Lagrange equations and their applications are investigated for non-conservative nonlinear elastic dynamics, incompressible viscous ?uid dynamics, viscoelastic dynamics, thermal elastic dynamics, rigid-elastic coupling dynamics and rigid-liquid coupling dynamics. The establishment of ?nite element calculation model by using Lagrange equation was analyzed. Finally,the prospects of applying the Lagrange equation to problems of the continuum dynamics are discussed.
引文
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冯晓九,梁立孚,宋海燕.2016.刚-弹-液耦合动力学的功能型拟变分原理.中国科学:技术科学,46:195-203(Feng X J,Liang L F,Song H Y.2016.Quasi variational principle of the rigid-elastic-liquid coupling dynamics.Sci Sin Tech,46:195-203).
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