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本文探讨一种基于半连续半离散思想,适用于复杂结构(如高层框架、剪力墙、桁架、网架等结构系统)工程分析的超级有限元,其结构数值分析是按连续体进行,但又按单个构件进行有限元计算。这种按整体系统进行离散所获得的单元内部包含众多构件,有别于一般常见的实体有限元,称为“超级有限元”。这种方法自由度数比一般有限元法少很多,又与单元内部所含构件数多少无关,并可求取结构内每个构件的内力值。
In this paper, a superfinite element based on semicontinuous semi-discrete idea is introduced to analyze the engineering of complex structures such as high-rise frame, shear wall, truss, grid and other structural systems. The numerical analysis of the structure is carried out in continuum Then according to a single component for finite element calculation. This unitary system based on the whole system contains many components inside, which is different from the common physical finite element called “super finite element”. The freedom degree of this method is much less than that of general finite element method, and it has nothing to do with the number of components contained in the unit, and the internal force value of each component in the structure can be obtained.