| Lagrange乘子法和一般形式的广义变分原理 |
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| 引用本文： | 蒋中祥.Lagrange乘子法和一般形式的广义变分原理[J].北京建筑工程学院学报,1989(1). |
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| 作者姓名： | 蒋中祥 |
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| 作者单位： | 北京建筑工程学院土木工程一系 |
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| 摘 要： | 本文用Lagrange乘子法分别从势能原理、余能原理和Hellinger-Reissner原理推得一般形式的广义变分原理,从而说明了Lagrange乘子法的普遍适用性。此外,本文指出了专著推导胡海昌-鹫津原理时的一个错误,提出了Lagrange乘子识别中应当注意的一个问题。
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| 关 键 词： | Lagrange乘子 变分原理 |
Lagrange Multiplier Procedure and General Form of Generalized Variational Principle |
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| Jiang Zhongxiang.Lagrange Multiplier Procedure and General Form of Generalized Variational Principle[J].Journal of Beijing Institute of Civil Engineering and Architecture,1989(1). |
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| Authors: | Jiang Zhongxiang |
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| Affiliation: | First 1)epartment of Cvil Engimeering) |
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| Abstract: | In this paper, the general form of generalized variational principle1] is obtained from the potential energy principle, the complementary energy principle and the Hellinger-Reissner principle respectively by introducing Lagrange multipiers, and therefore it is shown that the Lagrange multiplier procedure would not fail to formulat the generalized variational principles.The problem about the identification of Lagrange multipliers is discussed. |
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| Keywords: | Lagrange multipier variational principle |
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