Structural Optimization is intended to supplement the engineer’s box of analysis and design tools making optimization as commonplace as the finite element method in the engineering workplace. It begins with an introduction to structural optimization and the methods of nonlinear programming such as Lagrange multipliers, Kuhn-Tucker conditions, and calculus of variations. It then discusses solution methods for optimization problems such as the classic method of linear programming which leads to the method of sequential linear programming. It then proposes using sequential linear programming together with the incremental equations of structures as a general method for structural optimization. It is furthermore intended to give the engineer an overview of the field of structural optimization.
Mục lục
Some Tools of Optimization.- Sequential Linear Programming and the Incremental Equations of Structures.- Optimality Criteria Methods.- Some Basic Optimization Problems.- Beams and Plates: The Work of Rozvany.- Some Problems of Dynamic Structural Optimization.- Multicriteria Optimization.- Practical Matters: The Work of Farkas and Jarmai.- On Going Work.
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