| 应用混合变量余能原理求解不同载荷作用下四边简支矩形板的弯曲 |
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| 引用本文： | 陈英杰,李志航,付宝连.应用混合变量余能原理求解不同载荷作用下四边简支矩形板的弯曲[J].计算力学学报,2015,32(2):287-292. |
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| 作者姓名： | 陈英杰 李志航 付宝连 |
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| 作者单位： | 燕山大学建筑工程与力学学院,秦皇岛,066004 |
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| 摘 要： | 由功的互等定理导出了弯曲矩形板混合变量的总余能,应用混合变量余能原理求解四边简支矩形板弯曲问题,给出了四边简支矩形板的混合变量余能表达式,求解了不同载荷作用下四边简支矩形板的弯曲问题,并将计算的不同载荷作用下的挠度和弯矩值与ANSYS有限元的计算值比较,给出了一种求解四边简支矩形板的新方法。
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| 关 键 词： | 功的互等定理 混合变量 余能原理 不同载荷 四边简支 矩形板 |
| 收稿时间： | 1/8/2014 12:00:00 AM |
| 修稿时间： | 2014/3/26 0:00:00 |
Apply the principles of complementary energy with mixed variables to solve the bending of the rectangular plate with simply supported on four sides under different loads |
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| CHEN Ying-jie,LI Zhi-hang and FU Bao-lian.Apply the principles of complementary energy with mixed variables to solve the bending of the rectangular plate with simply supported on four sides under different loads[J].Chinese Journal of Computational Mechanics,2015,32(2):287-292. |
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| Authors: | CHEN Ying-jie LI Zhi-hang and FU Bao-lian |
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| Affiliation: | School of Architectural Engineering and Mechanics, Yanshan University, Qinhuangdao 066004, China;School of Architectural Engineering and Mechanics, Yanshan University, Qinhuangdao 066004, China;School of Architectural Engineering and Mechanics, Yanshan University, Qinhuangdao 066004, China |
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| Abstract: | The total complementary energy with mixed variables of the bending of the rectangular plate is deduced by applying the reciprocal theorem in this article.It solves the problem of the bending of the rectangular plate with simply supported on four sides by applying the principles of complementary energy with mixed variables.And it gives the expression for complementary energy with mixed variables of the rectangular plate with simply support on four sides.Through calculating the deflection surface equation under different loads by this method and comparing the ANSYS value with deflection value, moment value under different loads.Finally the author verifies the method presented in this paper can be applied directly to the project. |
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| Keywords: | the reciprocal theorem mixed variables the principle of complementary energy different loads simply supported on four sides rectangular plate |
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