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本文针对复杂杆系组合结构静动力问题讨论一种简捷有效的数值计算方法——超级有限元法,首先介绍其一般原理,继而针对一大类复杂桁架空间杆系组合结构准三维化处理(用一维变量加以表征),并将其离散成一系列单元,考虑弯曲、剪切、挤压、拉伸压缩、扭转等多种非经典变形效应,通过采用构件端部自由度向超级元自由度的转换而把复杂多构件问题的求解变为少量一维结点变量问题的求解,既达到了简化的目的,又保证了精度,而且可方便地与通常的有限元法结合使用。文中还给出了有关杆系组合结构分析的数值算例。
In this paper, a simple and effective numerical method—the super finite element method—is discussed for the static and dynamic problems of the composite structure of complex linkages. First, the general principles are introduced, and then the quasi-three-dimensional processing of a large complex truss space structure is used. One-dimensional variables are characterized), and they are discretized into a series of units, taking into account various non-classical deformation effects such as bending, shearing, extrusion, tension compression, and torsion, and by adopting the freedom of the component end to the degree of freedom of the superelement. The conversion of the complex multi-component problem into a solution of a small number of one-dimensional node variables solves both the objective of simplification and accuracy, and can be conveniently combined with the usual finite element method. The article also gives a numerical example of the analysis of the combined structure of rod systems.