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本文引用格式:梁立孚,郭庆勇.非保守非线性刚-热-弹耦合动力学的Lagrange方程[J].动力学与控制学报,2019,17(5):487~496;   Liang Lifu,Guo Qingyong.The Lagrange equation of non conservative non-linear rigid-thermos-elastic coupling dynamics[J].Journal of Dynamics and Control,2019,17(5):487-496.
非保守非线性刚-热-弹耦合动力学的Lagrange方程    点此下载全文
梁立孚  郭庆勇
哈尔滨工程大学 航天与建筑工程学院,哈尔滨〓150001,哈尔滨工程大学 航天与建筑工程学院,哈尔滨〓150001
基金项目:国家自然科学基金资助项目(10272034)
DOI:10.6052/1672-6553-2019-066
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.
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
The Lagrange equation of non conservative non-linear rigid-thermos-elastic coupling dynamics    Download Fulltext
Liang Lifu  Guo Qingyong
Fund Project:
Abstract:
      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 coupling dynamics are placed before us. In this paper,the Lagrange equation was successfully applied to the non conservative 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.
Keywords:coupling dynamics,Lagrange equation,non conservative system,nonlinear system,Lagrange Hamilton system
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