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非保守非线性刚-弹-液-控耦合分析动力学及其应用研究

李海波 刘世兴 宋海燕 梁立孚

李海波, 刘世兴, 宋海燕, 梁立孚. 非保守非线性刚-弹-液-控耦合分析动力学及其应用研究[J]. 力学学报, 2020, 52(4): 932-944. doi: 10.6052/0459-1879-20-107
引用本文: 李海波, 刘世兴, 宋海燕, 梁立孚. 非保守非线性刚-弹-液-控耦合分析动力学及其应用研究[J]. 力学学报, 2020, 52(4): 932-944. doi: 10.6052/0459-1879-20-107
Li Haibo, Liu Shixing, Song Haiyan, Liang Lifu. NON-CONSERVATIVE NONLINEAR RIGID-ELASTIC-LIQUID- CONTROL COUPLING ANALYTICAL DYNAMICS AND ITS APPLICATIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(4): 932-944. doi: 10.6052/0459-1879-20-107
Citation: Li Haibo, Liu Shixing, Song Haiyan, Liang Lifu. NON-CONSERVATIVE NONLINEAR RIGID-ELASTIC-LIQUID- CONTROL COUPLING ANALYTICAL DYNAMICS AND ITS APPLICATIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(4): 932-944. doi: 10.6052/0459-1879-20-107

非保守非线性刚-弹-液-控耦合分析动力学及其应用研究

doi: 10.6052/0459-1879-20-107
基金项目: 1)国家自然科学基金(11172046);国家自然科学基金(10272034);国家自然科学基金(11872030)
详细信息
    通讯作者:

    李海波

    李海波,梁立孚

  • 中图分类号: O316

NON-CONSERVATIVE NONLINEAR RIGID-ELASTIC-LIQUID- CONTROL COUPLING ANALYTICAL DYNAMICS AND ITS APPLICATIONS

  • 摘要: 非保守非线性刚-弹-液-控耦合分析动力学是与航天动力学和多体动力学相关的重要研究课题之一, 研究这一理论和应用课题具有重要理论意义和实际应用价值. 本研究建立了非保守非线性两类变量的刚-弹-液-控耦合分析动力学的Hamilton型拟变分原理, 并以该Hamilton型拟变分原理的泛函为依据, 分析了刚-弹-液-控耦合中的刚-弹耦合、刚-液耦合与弹-液耦合、控-刚耦合的特点. 借助于Lagrange-Hamilton体系, 从Hamilton型拟变分原理出发推导出非保守非线性刚-弹-液-控耦合系统的Lagrange方程, 并应用该Lagrange方程推导出系统的控制方程. 进一步以该控制方程为依据, 分析了刚-弹-液-控耦合中的刚-弹耦合、刚-液耦合与弹-液耦合、控-刚耦合的机理. 从两个方面概要地研究了非保守非线性刚-弹-液-控耦合系统的Lagrange方程的应用: 一方面, 应用该Lagrange方程建立了相应的有限元计算模型, 分析了这类计算模型的优越性; 另一方面, 应用系统的控制方程对实际问题进行解析的分析讨论, 说明了应用解析的分析讨论来研究问题与应用数值的、定量的分析方法来研究问题的互补特性. 最后, 讨论了几个相关的问题.

     

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  • 收稿日期:  2020-04-14
  • 刊出日期:  2020-08-10

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