Topology optimization of composite material plate with respect to sound radiation

In this paper, topology optimization of composite material plate with respect to minimization of the sound power radiation has been studied. A new low noise design method based on topology optimization is proposed, which provides great guidance for acoustic designers. The structural vibrations are e...

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Bibliographic Details
Published in:Engineering analysis with boundary elements 2011, Vol.35 (1), p.61-67
Main Authors: Xu, Z.S., Huang, Q.B., Zhao, Z.G.
Format: Article
Language:English
Subjects:
Acoustics
Boundary element method
Composite material
Composite materials
Density
Design engineering
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Low noise design
Mathematical analysis
Mathematical models
Noise: its effects and control
Optimization
Physics
SIMP model
Solid mechanics
Sound
Sound radiation
Structural acoustics and vibration
Structural and continuum mechanics
Topology optimization
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Summary:In this paper, topology optimization of composite material plate with respect to minimization of the sound power radiation has been studied. A new low noise design method based on topology optimization is proposed, which provides great guidance for acoustic designers. The structural vibrations are excited by external harmonic mechanical load with prescribed frequency and amplitude. The sound power is calculated using boundary element method. An extended solid isotropic material with penalization (SIMP) model is introduced for acoustic design sensitivity analysis in topology optimization, where the same penalization is applied for the stiffness and mass of the structural volume elements. Volumetric densities of stiffer material are chosen as design variables. Finally, taking a simple supported thin plate as a simulation example, the sound power radiation from structures subjected to forced vibration can be considerably reduced, leading to a reduction of 20 dB. It is shown that the optimal topology is easy to manufacture at low frequency, while as the loading frequency increases, the optimal topology shows a more and more complicated periodicity which makes it difficult to manufacture.
ISSN:0955-7997
1873-197X
DOI:10.1016/j.enganabound.2010.05.013