Name: Topology optimization in wavelet space
Creator: Thomas Agersten Poulsen
Keywords: Topological methods for optimization problems in solid mechanics, 0203 mechanical engineering, geometry control, Spectral and related methods applied to problems in solid mechanics, Numerical methods for wavelets, Haar basis, 0211 other engineering and technologies, 02 engineering and technology, mesh dependency, topology optimization

descriptionPublicationkeyboard_double_arrow_right Article 21 Nov 2001 English Publisher:WileyJournal:International Journal for Numerical Methods in Engineering, volume 53, pages 567-582 (issn: 0029-5981, eissn: 1097-0207,

Authors: Thomas Agersten Poulsen;

doi: 10.1002/nme.285

Topology optimization in wavelet space

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Abstract

AbstractWe investigate the use of wavelet methods for the design description in topology optimization. This is a new setting for topology optimization that does not take the material densities in the elements of the finite element model as the design space. This new approach has advantages and limitations which are discussed. It is shown how the control of wavelet coefficients can be used to prevent the formation of checkerboard patterns and to obtain some geometry control. Problems related to overlapping basis functions are analysed and solution methods are proposed. Examples of optimized designs using the described methods are given. Copyright © 2001 John Wiley & Sons, Ltd.

Related Organizations

Technical University of Denmark
Denmark

Keywords

Topological methods for optimization problems in solid mechanics, geometry control, Spectral and related methods applied to problems in solid mechanics, Numerical methods for wavelets, Haar basis, mesh dependency, topology optimization, wavelet methods, checkerboard filter

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