Several alternative, but equivalent, formulations of structural optimization problems are critically reviewed and compared. The various formulations differ in the independent variables chosen, the analysis equations employed, and the form of the resulting constraints. With regard to the method of analysis used, the displacement method, force method and mixed method of analysis are considered. The problem formulations discussed include (i) those in the Design Variable Space (DVS), (ii) Simultaneous Analysis and Design (SAND), and (iii) Optimality Criteria (OC). Some simplified formulations, approximate approaches and dual methods are also reviewed. Moreover, typical characteristics, advantages and drawbacks of various formulations are discussed and their effect on the solution process pointed out.
ASJC Scopus subject areas
- Civil and Structural Engineering