非保守非线性刚-热-弹耦合动力学的Lagrange方程  

THE LAGRANGE EQUATION OF NON-CONSERVATIVE NON-LINEAR RIGID-THERMOS-ELASTIC COUPLING DYNAMICS

作　　者：梁立孚[1] 郭庆勇[1] Liang Lifu;Guo Qingyong(College of Aerospace and Civil Engineering,Harbin Engineering University,Harbin 150001,China)

机构地区：[1]哈尔滨工程大学航天与建筑工程学院

出　　处：《动力学与控制学报》2019年第5期487-496,共10页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(10272034)~~

摘　　要：如何将Lagrange方程应用于弹性动力学,一直是国内外学术界关注的理论和应用研究课题.在这类问题获得基本解决之后,Lagrange方程应用于耦合动力学的理论难题又摆在我们的面前.本文采用Lagrange Hamilton体系,成功地将Lagrange方程应用于非保守非线性刚 热 弹耦合动力学.进而应用非保守非线性刚 热 弹耦合动力学的Lagrange方程推导出非保守非线性刚 热 弹耦合动力学的控制方程.讨论了应用耦合动力学的Lagrange方程解决实际工程技术问题的途径.How to apply Lagrange equation to elastodynamics has always been a theoretical research topic at home and abroad.After solving such problems,the theoretical difficulties of Lagrange equation applied to the cou pling dynamics are placed before us.In this paper,the Lagrange equation was successfully applied to the non con servative non linear rigid thermos elastic coupling dynamics by using the Lagrange Hamilton system.Then the governing equations of non conservative non linear rigid thermos elastic coupling dynamics were derived by using the Lagrange equation of non conservative non linear rigid thermos elastic coupling dynamics.Finally,the way to solve practical engineering problems by using Lagrange equation of coupled dynamics was discussed.

关 键 词：耦合动力学 LAGRANGE方程 非保守系统 非线性系统 LAGRANGE HAMILTON体系 

分 类 号：O17[理学—数学]