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1.引言随着有限元分析方法的广泛应用,用有限元法分析的结构也愈来愈复杂.人们按力学特性把结构的不同部位简化成不同类型的构件,例如块体构件、板构件和梁构件.不同类型构件的连接应服从力学上给出的约束条件.因为约束条件的多种多样,很多程序缺乏对它们的适应和处理能力.甚至象周期性这样简单的情况,在结构分析程序SAPⅣ上也不能直接加以利用.我们按罚函数的原理推导了处理任意约束条件的罚单元刚度公式(10),按它把约束条件输入计算机进行计算,解决了SAPⅣ程序原来难以处理的某些结构分析问题.罚单元方法的计算十分简单.实际上它只是个读入局部刚度矩阵和转换矩阵,然后按式(10)相乘的单元,其程序量很少.很容易把它加到多元程序中,以扩大程序对所分析
1. Introduction With the wide application of finite element analysis methods, the structure analyzed by the finite element method is also becoming more and more complex. People according to the mechanical characteristics to simplify different parts of the structure into different types of components, such as block components, plate components and Beam members. The connection of different types of components should obey the constraints given by the mechanics. Because of the diversity of constraints, many programs lack the ability to adapt and handle them. Even simple cases such as periodicity, in the structural analysis program SAPIV can not be directly used. According to the principle of penalty function, we have deduced the formula for the stiffness of penalties that deal with arbitrary constraints (10), and then enter the constraint conditions into the computer to calculate and solve some of the original structures that SAPIV program is difficult to handle. Analysing the problem. The calculation of the penalty unit method is very simple. In fact it is just a unit that reads in the local stiffness matrix and the transformation matrix and then multiplies it by (10). The program is very small. It is easy to add it to the multivariate program. In order to expand the program analysis