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
Received:January 08, 2014  Revised:March 26, 2014
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DOI:10.7511/jslx201502024
KeyWord:the reciprocal theorem  mixed variables  the principle of complementary energy  different loads  simply supported on four sides  rectangular plate
        
AuthorInstitution
陈英杰 燕山大学 建筑工程与力学学院, 秦皇岛
李志航 燕山大学 建筑工程与力学学院, 秦皇岛
付宝连 燕山大学 建筑工程与力学学院, 秦皇岛
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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.