AN EXACT ELEMENT METHOD FOR THE BENDING OF NONHOMOGENEOUS REISSNER'S PLATE

摘要/Abstract

摘要： In this paper, based on the step reduction method and exaet analytic method, a new method, theexacl element method for constructing finite element, is presented. Since the near method doesn’t need varialional principle, it can he applied to solve nun-positive and positive definite partial differcntial equations with arbitral varutble coefficients. By this method, a triangle noncompatible element with 15 degrees of freedom is derived to solve the bending of nonhomogenous Reissner’s plate. Because the displacement parameters at the nodal point only contain deflection and rotation angle, it is convenient to deal with arbitrary boundary conditions. In this paper, the convergcnceof displacement and stress resultants is proved. The element obtained by the present method can be used for thin and thick plates as well, hour numerical examples are given at the end of this paper, which indicates that we can obtain satisfactory results and have higher numerical precision.

关键词: thick plate, exact finite element method, incompatible element method

Abstract: In this paper, based on the step reduction method and exaet analytic method, a new method, theexacl element method for constructing finite element, is presented. Since the near method doesn’t need varialional principle, it can he applied to solve nun-positive and positive definite partial differcntial equations with arbitral varutble coefficients. By this method, a triangle noncompatible element with 15 degrees of freedom is derived to solve the bending of nonhomogenous Reissner’s plate. Because the displacement parameters at the nodal point only contain deflection and rotation angle, it is convenient to deal with arbitrary boundary conditions. In this paper, the convergcnceof displacement and stress resultants is proved. The element obtained by the present method can be used for thin and thick plates as well, hour numerical examples are given at the end of this paper, which indicates that we can obtain satisfactory results and have higher numerical precision.

Key words: thick plate, exact finite element method, incompatible element method

纪振义. AN EXACT ELEMENT METHOD FOR THE BENDING OF NONHOMOGENEOUS REISSNER'S PLATE[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(11): 1065-1074.

Ji Zhen-yi. AN EXACT ELEMENT METHOD FOR THE BENDING OF NONHOMOGENEOUS REISSNER'S PLATE[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(11): 1065-1074.

参考文献

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