| 混合变量的余能原理及其应用 |
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| 引用本文： | 付宝连,陈英杰,王亮.混合变量的余能原理及其应用[J].燕山大学学报,2009,33(6):495-504,527. |
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| 作者姓名： | 付宝连 陈英杰 王亮 |
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| 作者单位： | 燕山大学建筑工程与力学学院,河北秦皇岛,066004 |
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| 摘 要： | 应用功的互等定理,建立了小变形线弹性混合变量的第一余能（最小余能）原理和第二余能原理。以该原理为基础,给出了弯曲矩形板混合变量相关的两个余能原理。并且,应用第二余能原理计算了一复杂边界条件下矩形板的弯曲。
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| 关 键 词： | 弱容许应力 平衡弱容许位移 混合变量的最小余能原理 混合变量的第二余能原理 |
Principles of complementary energy with mixed variables and an application |
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| FU Bao-lian,CHEN Ying-jie,WANG Liang.Principles of complementary energy with mixed variables and an application[J].Journal of Yanshan University,2009,33(6):495-504,527. |
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| Authors: | FU Bao-lian CHEN Ying-jie WANG Liang |
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| Institution: | FU Bao-lian,CHEN Ying-jie,WANG Liang (College of Architectural Engineering , Mechanics,Yanshan University,Qinhuangdao,Hebei 066004,China) |
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| Abstract: | First and second principle of complementary energy with mixed variables of linear elasticity of small displacement theory are established by the use of the reciprocal theorem. On the basis of the two principles, two principles of complementary energy related to bending of rectangular plates are given. And the second principle is applied to calculation of bending of a rectangular plate with complicated boundary conditions. |
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| Keywords: | weakly admissible stress weakly admissible displacement of equilibrium principle of minimal complementary energy with mixed variables second principle of complementary energy with mixed variables |
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