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Systematic design of phononic band–gap materials and structures by topology optimization
Abstract
Phononic band-gap materials prevent elastic waves in certain frequency ranges from propagating, and they may therefore be used to generate frequency filters, as beam splitters, as sound or vibration protection devices, or as waveguides. In this work we show how topology optimization can be used to design and optimize periodic materials and structures exhibiting phononic band gaps. Firstly, we optimize infinitely periodic band-gap materials by maximizing the relative size of the band gaps. Then, finite structures subjected to periodic loading are optimized in order to either minimize the structural response along boundaries (wave damping) or maximize the response at certain boundary locations (waveguiding).
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Citations
Cited by
Morphology-based black and white filters for topology optimization
Sigmund, O. (2007) · Structural and Multidisciplinary Optimization · doi:10.1007/s00158-006-0087-x · Cited by 1,727
Self-citationA critical review of established methods of structural topology optimization
Rozvany, G. I. N. (2009) · Structural and Multidisciplinary Optimization · doi:10.1007/s00158-007-0217-0 · Cited by 1,078
Topology optimization for nano‐photonics
Jensen, J. S., & Sigmund, O. (2011) · Laser & Photonics Reviews · doi:10.1002/lpor.201000014 · Cited by 767
Self-citationTopology optimization of multi-scale structures: a review
Wu, J., Sigmund, O., & Groen, J. P. (2021) · Structural and Multidisciplinary Optimization · doi:10.1007/s00158-021-02881-8 · Cited by 688
Self-citationTopology optimization of channel flow problems
Gersborg-Hansen, A., Sigmund, O., & Haber, R. B. (2005) · Structural and Multidisciplinary Optimization · doi:10.1007/s00158-004-0508-7 · Cited by 553
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Metadata
- Authors
- Sigmund, O., & Søndergaard Jensen, J.
- Venue
- Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- Publisher
- The Royal Society
- Published
- 2003-03-26
- Volume
- 361
- Issue
- 1806
- Pages
- 1001-1019
- ISSN
- 1364-503X (ISSN-L)
- 1471-2962
- OpenAlex
- W2007371871
- Cited by
- 761
- References
- 0
- FWCI
- 70.58
- Type
- journal article
- Language
- en
- Open access
- closed
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- Sigmund, O., & Søndergaard Jensen, J. (2003). Systematic design of phononic band–gap materials and structures by topology optimization. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. https://doi.org/10.1098/rsta.2003.1177
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