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本文针对如何提高位移型板弯曲单元内力解的问题进行了一些探讨,在总结位移型和杂交型有限元的特点基础之上,提出了利用杂交元原理对位移型单元内力解进行重算的后处理方案:首先由位移型板元求出单元结点位移;其次假设满足平衡方程的单元内力场,并利用杂交能量泛函原理确定其与单元位移之间的联系,进而求出单元内力解。数值算例表明,本文所提出的方法可以明显改善多种板弯曲单元内力解的性态,使单元在获得较精确的位移解的同时,又可获得较好的内力解,而且又不使单元列式过于复杂。本文为改善位移型有限元的内力和应力解提供了一条可行的新途径。
In this paper, some problems about how to improve the solution of the internal force of the bending unit of the displacement plate are discussed. Based on the summary of the characteristics of the displacement type and the hybrid finite element, the solution to the internal force solution of the displacement type unit Disposal plan: Displacement plate element is firstly used to calculate the displacement of the element. Secondly, the internal force field of the element satisfying the equilibrium equation is assumed, and the relation between the element displacement and the unit energy is determined by the hybrid energy functional theory. Numerical examples show that the method proposed in this paper can significantly improve the internal force solution of a variety of plate bending unit, so that the unit can obtain a more accurate solution of the internal force while obtaining a more accurate displacement solution, Column type is too complicated. This article provides a feasible new way to improve the internal force and stress solution of the displacement finite element.