Overview

The efficient use of mateirls is of great importance, and the choice of the basic topology for the design of structures and mechanical elements is crucial for the performance of sizing of shape optimization. This volume provides a comprehensive review of the state-or-the-art in topology design, spanning fundamental mathematical, mechanical and implementation issues. Topology design of discrete structures involves large scale computational problems and the need to select structural elements from a discrete set of possibilities. The formulation and solution of discrete design problems are described, including new applications of genetic algorithms and dual methods. For continuum problems the emphasis is on the ""homogenization method"", which employs composite materials as the basis for defining shape in terms of material density, unifying macroscopic structural design optimization and micromechanics. All aspects of this field are-covered, including computational aspects and the use of the homogenization method in a computer-aided design environment.

Full Product Details

Author:   Martin P. Bendsøe ,  Carlos A. Mota Soares
Publisher:   Springer
Imprint:   Springer
Edition:   1993 ed.
Volume:   227
Dimensions:   Width: 15.50cm , Height: 3.10cm , Length: 23.50cm
Weight:   2.210kg
ISBN:  

9780792320555

ISBN 10:   0792320557
Pages:   569
Publication Date:   30 November 1992
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I - Topology design of discrete structures.- Fundamental Properties of Optimal Topologies.- Topology Optimization of Three Dimensional Trusses.- Two Nonsmooth Approaches to Simultaneous Geometry and Topology Design of Trusses.- Minimax Compliance Truss Topology Subject to Multiple Loading.- An Interior Point Algorithm for Truss Topology Design.- Truss Topology Optimization with Stress and Displacement Constraints.- II - Discrete design and selection problems.- Discrete Valued Optimal Design Problems.- Discrete Optimal Design Using a Genetic Algorithm.- Lay-out and Sizing Design of Civil Engineering Structures in Accordance with the Eurocodes.- Genetic Algorithms in Structural Topology Optimization.- Optimal Placement of Actuators and other Peripherals for Large Space Structures.- Passive/Active Strut Placement by Integer Programming.- III - The homogenization method for topology design.- Topology and Generalized Layout Optimization of Elastic Structures.- Topology Optimization and Optimal Shape Design using Homogenization.- A Displacement-Based Topology Design Method with Self-Adaptive Layered Materials.- A Numerical Algorithm for Topology and Shape Optimization.- IV - Alternative methods for topology design of continuum structures.- Layout Theory for Grid-type Structures.- Topology Optimization using Iterative Continuum-Type Optimality Criteria (COC) Methods for Discretized Systems.- Some Explorations in the Genesis of Structures.- V - Boundary shape design methods.- Imbedding / Control Approach for Solving Optimal Shape Design Problems.- Applications of Material Derivative Method.- Optimal Design of Thin Laminated Composite Structures.- VI- Relaxation and optimal shape design.- Why Does It Seem Difficult to Avoid Homogenization Type Methods in Order to Change Topologyin Shape Optimization.- Existence Via Relaxation for Some Domain Optimization Problems.- Extremal Eigenvalue Problems for Starlike Drums.- VII - Effective media theory and optimal design.- On the Strength of Composite Materials: Variational Bounds and Computational Aspects.- Effective Properties for Non-Linear Composite Materials: Computational Aspects.- The Warping and the Torsion Problems in a Quasi-Periodically Perforated Domain.- VIII - Extending the scope of topology design.- Optimum Layout and Shape of Plate Structures using Homogenization.- Optimal Reliability Design of Plates..- Topology Optimization of Linear Elastic Structures Subjected to Thermal Loads.- Truss Topology Design for Elastic/Softening Materials.- Decision Makings for Initial Designs Made of Advanced Materials.- IX - Topology design in a computer aided design environment..- Integrating Topology and Boundary Variations Design Methods in a CAD system.- Integrated Structural Optimization System.- X - Aspects of topology design.- Topology Design of Discrete Structures.- An Optimization-Based Approach to the Domain Decomposition Problem in Parallel Finite Element Analysis.- Stability of Optimal Structures of Elastic Composites.

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