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Vibro-acoustic design of plate using bi-material microstructural topology optimization

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Abstract

This study presents a microstructural topology optimization-based method for dealing with the problem of minimizing the sound power flow that radiates from a vibrating composite plate. The plate is assumed to be constructed with periodic microstructures that are uniformly distributed over the macrostructural domain. The design variable in this case is the relative material volume density of the unit cell of the microstructure. The equivalent macromaterial properties of the microstructure are calculated using the homogenization method, and the bi-material solid isotropic material with penalization model is employed to achieve a zero-one design at a microscale. The high frequency approximation formulation and the weak coupling assumption are adopted to achieve an efficient overall analysis and sensitivity analysis of the coupling system. The proposed method is validated by several numerical examples. Results show that effective vibroacoustic isolation may be implemented by the topology design of periodical microstructures.

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Authors and Affiliations

  1. School of Aerospace Engineering, Tsinghua University, Beijing, 100084, China

    Jianbin Du & Ruizhen Yang

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  1. Jianbin Du
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  2. Ruizhen Yang
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Correspondence to Jianbin Du.

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Recommended by Guest Editor Joo-Ho Choi

Jianbin Du obtained his Ph.D. in solid mechanics from Tsinghua University in 1999. He then worked as a postdoctoral researcher in the Department of Aerospace Engineering at the University of Michigan from 1999 to 2001 and in the Institute of Mechanical Engineering at Aalborg University from 2002 to 2003. From 2003 to 2005, he served as a research assistant professor in the Machine Acoustic Center of Aalborg University. He has been serving as an assistant professor since 2006 and as an associate professor since 2007 in the School of Aerospace Engineering at Tsinghua University.

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Du, J., Yang, R. Vibro-acoustic design of plate using bi-material microstructural topology optimization. J Mech Sci Technol 29, 1413–1419 (2015). https://doi.org/10.1007/s12206-015-0312-x

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  • DOI: https://doi.org/10.1007/s12206-015-0312-x

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