期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 53, 期 3, 页码 567-582出版社
JOHN WILEY & SONS LTD
DOI: 10.1002/nme.285
关键词
topology optimization; wavelet methods; Haar basis; checkerboard filter; mesh dependency; geometry control
资金
- Div Of Civil, Mechanical, & Manufact Inn
- Directorate For Engineering [1036460] Funding Source: National Science Foundation
We 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 (C) 2001 John Wiley Sons, Ltd.
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