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Topology Optimization in Structural and Continuum Mechanics

  • Book
  • © 2014

Overview

Editors:
  1. George I. N. Rozvany

    1. Budapest University of Technology and Economics, Budapest, Hungary

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  2. Tomasz Lewiński

    1. Warsaw University of Technology, Warsaw, Poland

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    You can also search for this editor in PubMed   Google Scholar

  • Covering new developments in structural topology optimization
  • For elastic bodies, the layout problems in linear elasticity are discussed
  • Written by recognized authorities in the fields

Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 549)

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Table of contents (20 chapters)

  1. Topology Optimization under Uncertainty

    • Kurt Maute
    Pages 457-471
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About this book

The book covers new developments in structural topology optimization. Basic features and limitations of Michell’s truss theory, its extension to a broader class of support conditions, generalizations of truss topology optimization, and Michell continua are reviewed. For elastic bodies, the layout problems in linear elasticity are discussed and the method of relaxation by homogenization is outlined. The classical problem of free material design is shown to be reducible to a locking material problem, even in the multiload case. For structures subjected to dynamic loads, it is explained how they can be designed so that the structural eigenfrequencies of vibration are as far away as possible from a prescribed external excitation frequency (or a band of excitation frequencies) in order to avoid resonance phenomena with high vibration and noise levels. For diffusive and convective transport processes and multiphysics problems, applications of the density method are discussed. In order to take uncertainty in material parameters, geometry, and operating conditions into account, techniques of reliability-based design optimization are introduced and reviewed for their applicability to topology optimization.

Editors and Affiliations

  • Budapest University of Technology and Economics, Budapest, Hungary

    George I. N. Rozvany

  • Warsaw University of Technology, Warsaw, Poland

    Tomasz Lewiński

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