Introduction to Optimization of Structures

This is an exposition of the theory, techniques, and the basic formulation of structural optimization problems. The author considers applications of design optimization criteria involving strength, rigidity, stability and weight. Analytic and numerical techniques are introduced for research in optimal shapes and internal configurations of deformable bodies and structures. Problems of the optimal design of beams, systems of rods, plates and shells, are studied in detail. With regard to applications, this work is oriented towards solutions of real problems, such as reduction of the volume or weight of the material, and improvement of mechanical properties of structures. This book is written for readers specializing in applied mechanics, applied mathematics, and numerical analysis. Front Matter....Pages i-x Front Matter....Pages 1-1 Fundamental Concepts and Problems of Optimal Design....Pages 3-28 Reformulation of Optimal Design Problems....Pages 29-48 Optimality Conditions....Pages 49-73 Analytic and Numerical Techniques for Distributed Parameters Structural Optimization Problems....Pages 74-113 Techniques for Optimization of Discrete Systems....Pages 114-132 Front Matter....Pages 133-133 Application of Strength and Weight Criteria....Pages 135-189 Rigidity and Weight Criteria....Pages 190-252 Application of the Stability and Weight Criteria....Pages 253-296 Back Matter....Pages 297-300