Mathematical Programming Techniques for Shape Optimization of Skeletal Structures

摘要: This chapter presents a review of mathematical programming methods used in the design skeletal elastic structures which possibility altering shape, position or layout members is considered. Virtually every type optimization procedure including linear, non-linear, and dynamic has been applied to this problem. These have implemented using three main approaches. The first, referred as ‘ground structure’ approach, one are removed from highly connected structure derive an optimum subset bars. In second approach co-ordinates joints treated variables moved during enable be designed. third method includes those allow for topological considerations at certain points process generally keeps two separate groups. paper discusses way each these