| 两个新的厚板弯曲三类变量广义变分原理 |
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| 引用本文： | 蒋友谅.两个新的厚板弯曲三类变量广义变分原理[J].北京理工大学学报,1990,10(4):62-72. |
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| 作者姓名： | 蒋友谅 |
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| 作者单位： | 北京理工大学应用力学系 |
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| 摘 要： | 为了对厚板弯曲问题近似解法提供更多的理论基础,本文在厚板弯曲问题最小势能/余能原理的一种新提法的基础上,用线性Lagrange乘子法,解除包括广义应力-广义应变关系在内的全部变分约束条件,建立了厚板弯曲问题新的三类变量广义势能/余能原理。
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| 关 键 词： | 板 变分法 厚板 弯曲 广义 |
Two New Three Field Generalized Variational Principles Applied to Thick Plate Bending |
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| Jiang Youliang.Two New Three Field Generalized Variational Principles Applied to Thick Plate Bending[J].Journal of Beijing Institute of Technology(Natural Science Edition),1990,10(4):62-72. |
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| Authors: | Jiang Youliang |
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| Institution: | Department of Applied Mechanics |
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| Abstract: | Based on a new proposition of the principle of minimum potential / complementary energy for the thick plate bending problem , a new three field generalized potential / complementary energy principle for such problems is established , applying the lagrange multiplier method , to release all the variational constraint conditions , including the relation between generalized stress and generalized strain, so as to provide more theoretical basis to approximate solutions to the problems . |
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| Keywords: | plates (structure) variational method / thick plate bending lagrange multiplier method generalized variational principle |
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