Overview

This volume examines various aspects of shape optimization of two-dimensional continuum structures, including shape design sensitivity analysis, structural analysis using the boundary element method (BEM), and shape optimization implementation. The aim of the book is to provide the reader with a general view of practical shape optimization techniques, and of current research. Two new techniques for shape design sensitivity analysis are described in detail. Aimed at students of design engineering (civil and mechanical) as an introductory text to optimum design, the book also provides information on shape optimization and on some new techniques for numerical optimization techniques for researchers who are interested in optimum design.

Full Product Details

Author:   Zhiye Zhao
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1991
Volume:   62
Dimensions:   Width: 17.00cm , Height: 1.10cm , Length: 24.20cm
Weight:   0.366kg
ISBN:  

9783540535188

ISBN 10:   3540535187
Pages:   192
Publication Date:   28 February 1991
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

1 Introduction.- 1.1 Introduction.- 1.2 Review of the Shape Optimization.- 1.3 References.- 2 Basic Numerical Optimization Techniques.- 2.1 Introduction.- 2.2 Basic Concepts and Terminology.- 2.3 Mathematical Programming Method.- 2.4 References.- 3 The Boundary Element Method in Elastostatics.- 3.1 Introduction.- 3.2 Review of the Boundary Element Method in Elastostatics.- 3.3 The Boundary Element Method in Elastostatics.- 3.4 Conclusion Remarks.- 3.5 References.- 4 Shape Design Sensitivity Analysis using the Boundary Element Method.- 4.1 Introduction.- 4.2 Two Basic Approaches for Design Sensitivity Analysis.- 4.3 The Implementation of the Material Derivative of Displacements.- 4.4 Stress Sensitivity Analysis by CA.- 4.5 The Modelling of the Adjoint Problem.- 4.6 Implementation of the Singularity Subtraction Method.- 4.7 A New Finite Difference Based Approach to Shape Design Sensitivity Analysis.- 4.8 Numerical Examples.- 4.9 Concluding Remarks.- 4.10 References.- 5 Shape Optimization Using the Boundary Element Method.- 5.1 Introduction.- 5.2 The Design Model and the Analysis Model.- 5.3 Shape Optimization Implementation.- 5.4 Numerical Examples.- 5.5 References.- A Fundamental Solutions of the Semi-infinite Plane.- B Derivatives of Boundary Stresses on the Normal Direction.

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