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Structural Optimization : Fundamentals and Applications - Uri Kirsch

Structural Optimization : Fundamentals and Applications

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This is an introduction to the fundamentals, methods and applications of structural optimization. It gives a survey of the literature on the subject published in recent years and presents selected topics in a unified approach. The text addresses both the student and the practising structural engineer. The book discusses in detail various problem formulations, the relative merit of different optimization methods and considerations related to practical applications. The emphasis throughout is on approximation concepts, which are essential in the solution of many practical design problems, and on multistage design procedures whereby various methods are combined to solve the overall design problem. The advantages as well as the limitations of the various problem formulations, solution methods and design procedures are discussed and illustrated by a variety of examples.

1 Problem Statement.- 1.1 Introduction.- 1.1.1 Automated Structural Optimization.- 1.1.2 Structural Optimization Methods.- 1.1.3 Historical Perspective.- 1.1.4 Scope of Text.- 1.2 Analysis Models.- 1.2.1 Elastic Analysis.- 1.2.2 Plastic Analysis.- 1.3 General Formulation.- 1.3.1 Design Variables.- 1.3.2 Constraints.- 1.3.3 Objective Function.- 1.3.4 Mathematical Formulation.- 1.4 Typical Problem Formulations.- 1.4.1 Displacement Method Formulations.- 1.4.2 Force Method Formulations.- Exercises.- 2 Optimization Methods.- 2.1 Optimization Concepts.- 2.1.1 Unconstrained Minimum.- 2.1.2 Constrained Minimum.- 2.2 Unconstrained Minimization.- 2.2.1 Minimization Along a Line.- 2.2.2 Minimization of Functions of Several Variables.- 2.3 Constrained Minimization: Linear Programming.- 2.3.1 Introduction.- 2.3.2 Problem Formulation.- 2.3.3 Method of Solution.- 2.3.4 Further Considerations.- 2.4 Constrained Minimization: Nonlinear Programming.- 2.4.1 Sequential Unconstrained Minimization.- 2.4.2 The Method of Feasible Directions.- 2.4.3 Other Methods.- Exercises.- 3 Approximation Concepts.- 3.1 General Approximations.- 3.1.1 Design Sensitivity Analysis.- 3.1.2 Intermediate Variables.- 3.1.3 Sequential Approximations.- 3.2 Approximate Behavior Models.- 3.2.1 Basic Displacement Approximations.- 3.2.2 Combined Displacement Approximations.- 3.2.3 Homogeneous Functions.- 3.2.4 Displacement Approximations along a Line.- 3.2.5 Approximate Force Models.- Exercises.- 4 Design Procedures.- 4.1 Linear Programming Formulations.- 4.1.1 Plastic Design.- 4.1.2 Elastic Design.- 4.2 Feasible-Design Procedures.- 4.2.1 General Considerations.- 4.2.2 Optimization in Design Planes.- 4.3 Optimality Criteria Procedures.- 4.3.1 Stress Criteria.- 4.3.2 Displacement Criteria.- 4.3.3 Design Procedures.- 4.3.4 The Relationship Between OC and MP.- 4.4 Multilevel Optimal Design.- 4.4.1 General Formulation.- 4.4.2 Two-Level Design of Prestressed Concrete Systems.- 4.4.3 Multilevel Design of Indeterminate Systems.- 4.5 Optimal Design and Structural Control.- 4.5.1 Optimal Control of Structures.- 4.5.2 Improved Optimal Design by Structural Control.- 4.6 Geometrical Optimization.- 4.6.1 Simultaneous Optimization of Geometry and Cross Sections.- 4.6.2 Approximations and Multilevel Optimization.- 4.7 Topological Optimization.- 4.7.1 Problem Statement.- 4.7.2 Types of Optimal Topologies.- 4.7.3 Properties of Optimal Topologies.- 4.7.4 Approximations and Two-Stage Procedures.- 4.8 Interactive Layout Optimization.- 4.8.1 Optimization Programs.- 4.8.2 Graphical Interaction Programs.- 4.8.3 Design Procedure.- Exercises.- References.

ISBN: 9783540559191
ISBN-10: 3540559191
Audience: General
Format: Paperback
Language: English
Number Of Pages: 302
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.7
Weight (kg): 0.45