| 动力学分区余能变分原理及其广义变分原理 |
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| 引用本文： | 牛焱洲. 动力学分区余能变分原理及其广义变分原理[J]. 河海大学学报(自然科学版), 1992, 0(2): 76-81 |
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| 作者姓名： | 牛焱洲 |
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| 作者单位： | 华北水电学院 |
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| 摘 要： | 本文首先指出．在动力学余能变分原理中，只要给出满足起始和终了时刻速度的假定，则不再需要满足其他任何附加的约束条件，在此基础上．本文提出并论证了动力学分区余能变分原理，并利用拉格朗日乘子法得到了不完全和完全的动力学分区广义余能变分原理．
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| 关 键 词： | 动力学 余能变分原理 分区变分，广义变分 拉格朗日乘子法 |
The Piece-Wise Complementary Energy Variational Principle and Generalized Variational Principles in Elastic Dynamics |
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| Niu Yanzhou Dept.of Civil Engineering,North China Institute of Hydroelectric Power,Zhengzhou,PRC. The Piece-Wise Complementary Energy Variational Principle and Generalized Variational Principles in Elastic Dynamics[J]. Journal of Hohai University (Natural Sciences ), 1992, 0(2): 76-81 |
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| Authors: | Niu Yanzhou Dept.of Civil Engineering North China Institute of Hydroelectric Power Zhengzhou PRC |
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| Abstract: | In this paper,the additional conditions of constraints are discussed and eliminated by using the hypothesis of speeds of the initial and the end stages known.On this basis the piece-wise comple- mentary energy variational principle in elastic dynamics is presented and proved.Then,by means of Langrage multiplier method,the corresponding complete and incomplete piece-wise generalized comple- mentary energy variational principles are all obtained. |
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| Keywords: | dynamics complementary energy variational principle piece-wise variation generalized variation |
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