| 广义非保守系统两类变量广义拟变分原理 |
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| 引用本文： | 梁立孚,郭庆勇,刘殿魁.广义非保守系统两类变量广义拟变分原理[J].哈尔滨工程大学学报,2009,30(5). |
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| 作者姓名： | 梁立孚 郭庆勇 刘殿魁 |
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| 作者单位： | 哈尔滨工程大学航天与建筑工程学院,黑龙江,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金 |
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| 摘 要： | 为了进一步研究广义非保守系统的广义拟变分原理,同时考虑到阻尼力和伴生力的影响,首先明确了广义非保守弹性力学系统的基本方程,然后应用变积方法,建立了广义非保守弹性动力学系统的两类变量的广义拟变分原理,并应用两类变量的广义拟余能原理求解了一个广义非保守弹性结构系统具体算例,该方法较好地处理了动力分析中的一些复杂问题,顺利求得问题的解析解.
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| 关 键 词： | 非保守系统 拟变分原理 弹性动力学 阻尼 伴生力 |
Generalized quasi-variational principles with two kinds of variables in generalized non-conservative systems |
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| LIANG Li-fu,GUO Qing-yong,LIU Dian-kui.Generalized quasi-variational principles with two kinds of variables in generalized non-conservative systems[J].Journal of Harbin Engineering University,2009,30(5). |
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| Authors: | LIANG Li-fu GUO Qing-yong LIU Dian-kui |
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| Affiliation: | College of Aerospace and Civil Engineering;Harbin Engineering University;Harbin 150001;China |
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| Abstract: | To further research into generalized quasi-variational principles in generalized non-conservative systems,and to take account of the influence of both damping forces and follower forces,we put forward basic equations for generalized non-conservative elasto-dynamic systems.We then established generalized quasi-variational principles with two kinds of variables for generalized non-conservative elasto-dynamic systems by using of the variational integral method.An example of a generalized non-conservative elast... |
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| Keywords: | non-conservative system quasi-variational principle elasto-dynamics damping follower force |
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