Structural and Multidisciplinary Optimization

, Volume 59, Issue 5, pp 1733–1746 | Cite as

Topology optimization of sound absorbing layer for the mid-frequency vibration of vibro-acoustic systems

  • Ruxin Gao
  • Yahui ZhangEmail author
  • David Kennedy
Research Paper


Due to the significant difference of dynamic properties between the fluid medium and the structure, when a vibro-acoustic system is subjected to a higher frequency excitation, it may typically exhibit mid-frequency behavior which involves different wavelength deformations and is very sensitive to the uncertainties of the system. This paper deals with optimized distribution of a sound absorbing layer for the mid-frequency vibration of vibro-acoustic systems by using hybrid boundary element analysis and statistical energy analysis. Based on the solid isotropic material with penalization approach, an artificial sound absorbing material model is suggested and the relative densities of the sound absorbing material are taken as design variables. The sound pressure level at a specified point in the acoustic cavity is to be minimized by distributing a given amount of sound absorbing material. An efficient direct differentiation scheme for the response sensitivity analysis is proposed. Then, the optimization problem is solved by using the method of moving asymptotes. A numerical example illustrates the validity and effectiveness of the present optimization model. Impact of the excitation frequency on optimized topology is also discussed.


Mid-frequency Vibro-acoustic system Sound absorbing layer Boundary element Statistical energy analysis Dynamic topology optimization 


Funding information

The authors are grateful for support under grants from the National Science Foundation of China (11672060) and the Cardiff University Advanced Chinese Engineering Centre.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, International Center for Computational MechanicsDalian University of TechnologyDalianPeople’s Republic of China
  2. 2.School of EngineeringCardiff UniversityCardiffUK

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