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Inverse design of phononic crystals by topology optimization
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Søren Halkjaer
Published/Copyright:
September 25, 2009
Abstract
Band gaps, i.e frequency ranges for which waves cannot propagate, can be found in most elastic structures if the material or structure has a specific periodic modulation of material properties. In this paper, we maximize phononic band gaps for infinite periodic beams modelled by Timoshenko beam theory, for infinite periodic, thick and moderately thick plates, and for finite thick plates. Parallels are drawn between the different optimized crystals and structures and several new designs obtained using the topology optimization method.
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Received: 2004-July-13
Accepted: 2004-December-9
Published Online: 2009-9-25
Published in Print: 2005-10-1
© by Oldenbourg Wissenschaftsverlag, München
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Articles in the same Issue
- Editorial: Phononic Crystals – Sonic Band-Gap Materials
- Classical wave localization and spectral gap materials
- Classical vibrational modes in phononic lattices: theory and experiment
- Scanning phononic lattices with surface acoustic waves
- Acoustic band gap measurements in waveguides with periodic resonant structures
- Experimental observation of resonant filtering in a two-dimensional phononic crystal waveguide
- Experimental study of guiding and filtering of acoustic waves in a two dimensional ultrasonic crystal
- Surface acoustic wave band gaps in micro-machined air/silicon phononic structures — theoretical calculation and experiment
- The layer multiple-scattering method applied to phononic crystals
- Tunneling and dispersion in 3D phononic crystals
- Transmission properties of locally resonant sonic materials with finite slab thickness
- Large enhancement of phononic gap in periodic and quasiperiodic elastic composites by using air inclusions
- Sound propagation in the time-domain by the Split-Operator technique
- Inverse design of phononic crystals by topology optimization
- Elastic waves in arrays of elliptic inclusions
- Books Received
Articles in the same Issue
- Editorial: Phononic Crystals – Sonic Band-Gap Materials
- Classical wave localization and spectral gap materials
- Classical vibrational modes in phononic lattices: theory and experiment
- Scanning phononic lattices with surface acoustic waves
- Acoustic band gap measurements in waveguides with periodic resonant structures
- Experimental observation of resonant filtering in a two-dimensional phononic crystal waveguide
- Experimental study of guiding and filtering of acoustic waves in a two dimensional ultrasonic crystal
- Surface acoustic wave band gaps in micro-machined air/silicon phononic structures — theoretical calculation and experiment
- The layer multiple-scattering method applied to phononic crystals
- Tunneling and dispersion in 3D phononic crystals
- Transmission properties of locally resonant sonic materials with finite slab thickness
- Large enhancement of phononic gap in periodic and quasiperiodic elastic composites by using air inclusions
- Sound propagation in the time-domain by the Split-Operator technique
- Inverse design of phononic crystals by topology optimization
- Elastic waves in arrays of elliptic inclusions
- Books Received
