Keith M. MacBain, William R. Spillers (auth.)9780387958644, 0387958649, 9780387958651
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 workplace. This book brings the methods of structural optimization into common usage like those of the finite element method. Providing the structural engineer with the right analysis tools and optimization tools.
Drawing upon years of practical experience and using numerous examples and illustrative applications, Keith MacBain and William Spillers discuss:
Structural optimization and the methods of nonlinear programming such as Lagrange multipliers, Kuhn-Tucker conditions, and calculus of variations
Solution methods for optimization problems emphasizing the classic method of linear programming and the method of sequential linear programming
Using sequential linear programming together with the incremental equations of structures as a general approach for structural optimization.
Structural Optimization will be of interest to structural engineers, mechanical engineers, aerospace engineers and architects, particularly those who use the finite element method and want to include optimization in their designs.
Table of contents :
Front Matter….Pages i-xiii
Introduction….Pages 1-27
Some Tools of Optimization….Pages 29-48
Sequential Linear Programming and the Incremental Equations of Structures….Pages 49-76
Optimality Criteria Methods….Pages 77-101
Some Basic Optimization Problems….Pages 103-137
Beams and Plates: The Work of Rozvany….Pages 139-149
Some Problems of Dynamic Structural Optimization….Pages 151-174
Multicriteria Optimization….Pages 175-178
Practical Matters: The Work of Farkas and Jarmai….Pages 179-186
On Going Work….Pages 187-195
Back Matter….Pages 1-104
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