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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
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
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
投稿时间:2014-01-08  修订日期:2014-03-26
DOI:10.7511/jslx201502024
中文关键词:  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
英文关键词:the reciprocal theorem  mixed variables  the principle of complementary energy  different loads  simply supported on four sides  rectangular plate
基金项目:
作者单位E-mail
陈英杰 燕山大学 建筑工程与力学学院, 秦皇岛 066004 cyjysu@126.com 
李志航 燕山大学 建筑工程与力学学院, 秦皇岛 066004  
付宝连 燕山大学 建筑工程与力学学院, 秦皇岛 066004  
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中文摘要:
      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。
英文摘要:
      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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