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本文以 Ｋｕｈｕ－Ｔｕｃｋｅｒ条件为基础，提出了受静力动力约束结构最小重量设计 的α－β双因子算法。在所受的约束中，“频率禁区” 是一新提法，它要求结构的任 一自振频率均不落入一给定的频率区域。设计变量可以是单元尺寸和／或节点座标， 每一变量的上下界是给定的，亦可考虑满应力准则结束。结构刚度阵及质量阵关于设 计变量可以是高度非线性的。对多种例题均获得了满意的结果。
Based on the Kuhu-Tucker condition, this paper proposes an α-β dual-factor algorithm that is based on the minimum weight design of a static dynamic constrained structure. Among the constraints imposed, the “frequency exclusion zone” is a new formulation that requires that any of the structure’s natural frequencies do not fall within a given frequency range. The design variables can be cell dimensions and/or node coordinates. The upper and lower bounds of each variable are given, and the full stress criterion can also be considered. Structural stiffness matrices and mass matrices can be highly nonlinear with regard to design variables. Satisfactory results were obtained for various examples.