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分析大型结构或者复杂结构,使用一般有限元法会遇到计算机容量不足或所需机时过长等问题。为克服这类困难,可以探用本文介绍的子结构法。 子结构法把原结构按一定规律分割成若干子结构。各子结构之间由所谓的“内节点”联结,使通过内节点联接的各子结构形成整体后其结构功能仍等同于原结构。子结构求解原则是:在满足子结构内节点处平衡条件和相容条件的情况下,综合各子结构的受力与变形,即为原整结构的受力与变形。这样,可以把庞大的原结构划分成若干子结构来进行计算。或者讲,把子结构仅仅看作一个结构单元,其作用似同在杆系中的一杆件单元或在平面问题中的一个三角形单元一样。
Analysis of large structures or complex structures, the use of general finite element method will encounter the problem of insufficient computer capacity or the required machine time is too long and so on. To overcome these difficulties, you can explore the substructure method described in this article. The substructure method divides the original structure into several substructures according to certain rules. The substructures are connected by so-called “inner nodes” so that the structural functions of the substructures joined by the inner nodes are still the same as that of the original structure. The principle of solving sub-structure is: under the condition of satisfying the equilibrium conditions and compatible conditions at the nodes within the sub-structure, the stress and deformation of each sub-structure are integrated, that is, the force and deformation of the original structure. In this way, the huge original structure can be divided into several substructures for calculation. Or speaking, the substructure is treated as just one structural unit, acting like a bar element in a bar system or a triangular element in a plane problem.