CISM International Centre for Mechanical Sciences

Topology Optimization in Structural and Continuum Mechanics

Editors: Rozvany, George I. N., Lewiński, Tomasz (Eds.)

  • 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
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eBook $189.00
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  • ISBN 978-3-7091-1643-2
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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.

Table of contents (20 chapters)

  • Structural Topology Optimization (STO) – Exact Analytical Solutions: Part I

    Rozvany, George I. N.

    Pages 1-14

  • Structural Topology Optimization (STO) – Exact Analytical Solutions: Part II

    Rozvany, George I. N. (et al.)

    Pages 15-34

  • Some Fundamental Properties of Exact Optimal Structural Topologies

    Rozvany, George I. N.

    Pages 35-52

  • Validation of Numerical Methods by Analytical Benchmarks, and Verification of Exact Solutions by Numerical Methods

    Rozvany, George I. N. (et al.)

    Pages 53-69

  • A Brief Review of Numerical Methods of Structural Topology Optimization

    Rozvany, George I. N.

    Pages 71-86

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-3-7091-1643-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-3-7091-1642-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Topology Optimization in Structural and Continuum Mechanics
Editors
  • George I. N. Rozvany
  • Tomasz Lewiński
Series Title
CISM International Centre for Mechanical Sciences
Series Volume
549
Copyright
2014
Publisher
Springer-Verlag Wien
Copyright Holder
CISM Udine
eBook ISBN
978-3-7091-1643-2
DOI
10.1007/978-3-7091-1643-2
Hardcover ISBN
978-3-7091-1642-5
Series ISSN
0254-1971
Edition Number
1
Number of Pages
X, 471
Topics