Optimization of Large Structural Systems

1. Front Matter

   Pages i-xxvi

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2. Optimality Criteria and Topology Optimization

   1. Continuum-Based Optimality Criteria (COC) Methods: An Introduction

      • G. I. N. Rozvany, M. Zhou

      Pages 1-26

   2. Iterative COC Methods

      • M. Zhou, G. I. N. Rozvany

      Pages 27-75

   3. Layout Optimization by COC Methods: Analytical Solutions

      • G. I. N. Rozvany, M. Zhou, W. Gollub

      Pages 77-102

   4. Layout and Generalized Shape Optimization by Iterative COC Methods

      • G. I. N. Rozvany, M. Zhou

      Pages 103-120

   5. Design Considerations in the Optimization of Structural Topologies

      • U. Kirsch, G. I. N. Rozvany

      Pages 121-138

   6. Truss Topology Optimization by a Displacements Based Optimality Criterion Approach

      • Martin P. Bendsøe, Aharon Ben-Tal

      Pages 139-155

   7. Layout Optimization using the Homogenization Method

      • Katsuyuki Suzuki, Noboru Kikuchi

      Pages 157-175

   8. Applications to Car Bodies :Generalized Layout Design of Three-Dimensional Shells

      • Junichi Fukushima, Katsuyuki Suzuki, Noboru Kikuchi

      Pages 177-191

3. Decomposition Methods and Approximation Concepts

   1. Optimization by Decomposition in Structural and Multidisciplinary Applications

      • Jaroslaw Sobieszczanski-Sobieski

      Pages 193-233

   2. Recent Advances in Approximation Concepts for Optimum Structural Design

      • J.-F. M. Barthelemy, R. T. Haftka

      Pages 235-256

   3. The State of the Art of Approximation Concepts in Structural Optimization

      • H. L. Thomas, G. N. Vanderplaats

      Pages 257-270

   4. Approximate Models for the Optimization of Large Structural Systems

      • Uri Kirsch

      Pages 271-287

4. Sensitivity Analysis

   1. Sensitivity of Discrete Systems

      • Raphael T. Haftka, Howard M. Adelman

      Pages 289-311

   2. Design Sensitivity Analysis of Dynamics of Built-Up Structures Using Ritz and Mode Acceleration Methods

      • Kyung K. Choi, Semyung Wang

      Pages 313-328

   3. Design Sensitivity Analysis of Dynamic Frequency Responses of Acousto-Elastic Built-Up Structures

      • Kyung K. Choi, Inbo Shim, Jaehwan Lee, Harihar T. Kulkarni

      Pages 329-343

   4. Shape Design Sensitivity Analysis of Nonlinear Nonconservative Structural Pproblems

      • Jasbir S. Arora, Tae Hee Lee

      Pages 345-359

   5. New Method of Error Analysis and Detection in Semi-Analytical Sensitivity Analysis

      • Gengdong Cheng, Niels Olhoff

      Pages 361-383

   6. Method of Error Elimination for a Class of Semi-Analytical Sensitivity Analysis Problems

      • Niels Olhoff, John Rasmussen

      Pages 385-396

   7. Introduction to Shape Sensitivity

      • B. Rousselet

      Pages 397-432

G.I.N. Rozvany ASI Director, Professor of Structural Design, FB 10, Essen University, Essen, Germany Structural optimization deals with the optimal design of all systems that consist, at least partially, of solids and are subject to stresses and deformations. This inte­ grated discipline plays an increasingly important role in all branches of technology, including aerospace, structural, mechanical, civil and chemical engineering as well as energy generation and building technology. In fact, the design of most man­ made objects, ranging from space-ships and long-span bridges to tennis rackets and artificial organs, can be improved considerably if human intuition is enhanced by means of computer-aided, systematic decisions. In analysing highly complex structural systems in practice, discretization is un­ avoidable because closed-form analytical solutions are only available for relatively simple, idealized problems. To keep discretization errors to a minimum, it is de­ sirable to use a relatively large number of elements. Modern computer technology enables us to analyse systems with many thousand degrees of freedom. In the optimization of structural systems, however, most currently available methods are restricted to at most a few hundred variables or a few hundred active constraints.

• building technology
• calculus
• chemical engineering
• control
• deformation
• degrees of freedom
• design
• material
• mathematical programming
• optimization
• programming
• structural optimization
• structural system
• Tennis

• Essen University, Germany

  G. I. N. Rozvany

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