General Optimum Model and Heuristic Algorithm for Engineering Structures with Discrete Variables and Built-up Sections
Wen Yi,Huang Ying,Wu Guanghao
(School of Civil Engineering and Mechanics, Xi'an Jiaotong University, Xi'an 710049,China)

Abstract: A general model and its heuristic algorithms are presented for engineering structures with discrete variables and built-up sections, where all design variables in a section are combined into one design variable, and restrictive conditions according to the effect ranges are classified into three types, local , global and medium. The solid members of a discrete structure are divided into 5 groups based on the supported forces and functions. the heuristic algorithm is presented for three different types of restrictions respectively. The model with algorithm is verified by engineering example, and the optimal results of the other six practical examples enable to reduce materials by 6.0~19.0% compared with the experiential design.
Keywords: optimum model, heuristic algorithm, discrete variables, built-up sect ion, restrictive condition.