具有连续梁型式的结构优化设计

在连续粱式的桥和管道的初步设计中，支座间距的确定可通过优化问题的求解予以完成。本文以余能原理和 Ｍｏｈｒ积分作为力学分析的基础，以梁截面刚度和支座数量为设计变量，按Ｆｉｂｏｎａｃｃｉ数列确定支座数量。使复杂的含整数变量的变维数问题化为定维数连续变量问题．可用ＳＱＰ等方法求解。提出的模型易于形成，算法便于实现．乃至手算，不失为实用的初步设计优化方法。给出了数值范例。

Optimum design of structures with continuous beam type

At the stage of preliminary design of bridge and pipeline with continuous beam type, the determination of distances between the supports is an important task. According to the principle of complementary energy and Mohr integration, taking sectional stiffness and support number of continuous beam as design variables and determining number of supports in terms of Fibo- nacci search, the authors convert complex optimization probIem of varying dimension of design variables with integer variables to one of fixed dimension of continuous variables, which may be solved by means of sequential quadratic programming. For the sake of the demonstration, some examples are given.