Application of deterministic operations research for structural optimization

Abstract

This thesis discusses the application of operations research theories for structural optimization problems, while the discussion is restricted to deterministic system. The methodology employed follows the general methodology of operations research: mathematical models are utilized to represent real-world problems and making decisions based on the solutions generated through mathematical models. The discussion is focused on three general categories of structural optimization problems: sizing optimization, shape optimization and topology optimization. Simple structures are included as examples to illustrate the application of operations research theories. Abstract operations research models are formulated to represent the general case for each category of structural optimization. The thesis shows that operations research models provide mathematical insights for structural optimization problems and the theories are of significant value for solving high-dimensional structural optimization problems. Operations research model formulation and solving techniques are also discussed for a more efficient computation of the optimal answers.