| Titel:
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Isogeometric Shape Optimization of Vibrating Membranes |
| Type:
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Journal articleJournal article |
| Person(er):
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Technical University of Denmark
Technical University of Denmark
Email:
Technical University of Denmark
Technical University of Denmark
Email:
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| Uddrag:
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We consider a model problem of isogeometric shape optimization of vibrating membranes whose shapes are allowed to vary freely. The main obstacle we face is the need for robust and inexpensive extension of a B-spline parametrization from the boundary of a domain onto its interior, a task which has to be performed in every
optimization iteration. We experiment with two numerical methods (one is based on the idea of constructing a quasi-conformal mapping, whereas the other is based on a spring-based mesh model) for carrying out this task, which turn out to work sufficiently well in the present situation.
We perform a number of numerical experiments with our isogeometric shape optimization algorithm and present smooth, optimized membrane shapes. Our conclusion is that isogeometric analysis fits well with shape optimization. |
| Publiceret:
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in journal: Computer Methods in Applied Mechanics and Engineering (ISSN: 0045-7825) (DOI: http://dx.doi.org/10.1016/j.cma.2010.12.015), vol: 200, issue: 13-16, pages: 1343-1353, 2011 |
| DOI:
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