Topological Design for Minimum Sound Emission from Structures under Forced Vibration

This paper is devoted to topology optimization problems formulated with the design objective of minimizing the sound power radiated from the structural surface(s) into a surrounding acoustic medium. Bi-material elastic continuum structures without material damping are considered. The structural vibrations are excited by time-harmonic external mechanical loading with prescribed excitation frequency, amplitude, and spatial distribution. Several numerical results are presented and discussed for bi-material plate-like structures with different sets of boundary and loading conditions.

[1]  Masataka Yoshimura,et al.  Topology design of multi-material soundproof structures including poroelastic media to minimize sound pressure levels , 2009 .

[2]  Niels Olhoff,et al.  Introductory Notes on Topological Design Optimization of Vibrating Continuum Structures , 2014 .

[3]  Jianbin Du,et al.  Microstructural topology optimization with respect to sound power radiation , 2013 .

[4]  Hae Chang Gea,et al.  Optimal stiffener design for interior sound reduction using a topology optimization based approach , 2003 .

[5]  Gary H. Koopmann,et al.  Designing Quiet Structures: A Sound Power Minimization Approach , 1997 .

[6]  C. Jog.  Topology design of structures subjected to periodic loading , 2002 .

[7]  D. Tortorelli,et al.  Design sensitivity analysis: Overview and review , 1994 .

[8]  Niels Olhoff,et al.  Regularized formulation for optimal design of axisymmetric plates , 1982 .

[9]  C. S. Jog,et al.  Optimization of vibrating structures to reduce radiated noise , 2012 .

[10]  Niels Olhoff,et al.  Minimization of sound radiation from vibrating bi-material structures using topology optimization , 2007 .

[11]  M. Lax,et al.  On the Radiation Problem at High Frequencies , 1947 .

[12]  N. Olhoff,et al.  Topology Optimization of Vibrating Bi-Material Structures with Respect to Sound Radiation , 2006 .

[13]  N. Olhoff,et al.  Topological Design for Minimum Dynamic Compliance of Structures under Forced Vibration , 2014 .

[14]  Erik Lund,et al.  Discrete material optimization of vibrating laminated composite plates for minimum sound radiation , 2010 .

[15]  N. Olhoff,et al.  Topological design of vibrating structures with respect to optimum sound pressure characteristics in a surrounding acoustic medium , 2010 .

[16]  Thomas Wensing,et al.  Analysis and Optimization , 2011 .

[17]  Jakob S. Jensen,et al.  Acoustic design by topology optimization , 2008 .

[18]  Søren Tørholm Christensen,et al.  On analysis and optimization in structural acoustics — Part I: Problem formulation and solution techniques , 1998 .

[19]  K. Svanberg.  The method of moving asymptotes—a new method for structural optimization , 1987 .

[20]  Junghwan Kook,et al.  Acoustical topology optimization for Zwicker’s loudness model – Application to noise barriers , 2012 .

[21]  E. Wadbro,et al.  Topology optimization of an acoustic horn , 2006 .

[22]  T. Wu,et al.  A New Look at the High Frequency Boundary Element and Rayleigh Integral Approximations , 2003 .