Level set based topology optimization of vibrating structures for coupled acoustic–structural dynamics
•A level set based topology optimization for coupled structural-acoustic structures.•A sensitivity analysis with respect to the structural boundary variations.•Numerical algorithm using material derivative and the adjoint method.•Examples of optimal structures of the coupled structural-acoustic syst...
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| Published in | Computers & structures Vol. 132; pp. 34 - 42 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.02.2014
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0045-7949 1879-2243 |
| DOI | 10.1016/j.compstruc.2013.10.019 |
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| Abstract | •A level set based topology optimization for coupled structural-acoustic structures.•A sensitivity analysis with respect to the structural boundary variations.•Numerical algorithm using material derivative and the adjoint method.•Examples of optimal structures of the coupled structural-acoustic system with smooth boundary.
A level set based structural topology optimization method is proposed for the optimal design of coupled structural–acoustic system with a focus on interior noise reduction. The objective is to consider an optimum structure with an optimum interface between the structural and acoustic domains, for minimizing the acoustic response of the coupled system at specified points or surfaces inside the acoustic domain within a frequency range of interest, subject to the given amount of the material of the structure. A sensitivity analysis with respect to the structural boundary variations is carried out using material derivative and the adjoint method, while the standard finite element method is employed for solving the state equation and the adjoint equation. The optimal structure of the coupled structural–acoustic system with smooth boundary is obtained through the level set evolution, while the velocity field is derived from the sensitivity analysis and the optimization algorithm. A number of numerical examples are presented to demonstrate the feasibility and effectiveness of the proposed approach for the noise reduction purpose. |
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| AbstractList | •A level set based topology optimization for coupled structural-acoustic structures.•A sensitivity analysis with respect to the structural boundary variations.•Numerical algorithm using material derivative and the adjoint method.•Examples of optimal structures of the coupled structural-acoustic system with smooth boundary.
A level set based structural topology optimization method is proposed for the optimal design of coupled structural–acoustic system with a focus on interior noise reduction. The objective is to consider an optimum structure with an optimum interface between the structural and acoustic domains, for minimizing the acoustic response of the coupled system at specified points or surfaces inside the acoustic domain within a frequency range of interest, subject to the given amount of the material of the structure. A sensitivity analysis with respect to the structural boundary variations is carried out using material derivative and the adjoint method, while the standard finite element method is employed for solving the state equation and the adjoint equation. The optimal structure of the coupled structural–acoustic system with smooth boundary is obtained through the level set evolution, while the velocity field is derived from the sensitivity analysis and the optimization algorithm. A number of numerical examples are presented to demonstrate the feasibility and effectiveness of the proposed approach for the noise reduction purpose. |
| Author | Shu, Lei Yu Wang, Michael Ma, Zhengdong |
| Author_xml | – sequence: 1 givenname: Lei surname: Shu fullname: Shu, Lei email: auto.shulei@gmail.com organization: Global Trailer R&D Institute, China International Marine Containers (Group) Co., Ltd., Shenzhen, China – sequence: 2 givenname: Michael orcidid: 0000-0002-6524-5741 surname: Yu Wang fullname: Yu Wang, Michael email: yuwang@mae.cuhk.edu.hk organization: Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Hong Kong, China – sequence: 3 givenname: Zhengdong surname: Ma fullname: Ma, Zhengdong email: mazd@umich.edu organization: Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA |
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| Cites_doi | 10.1006/jsvi.2001.4037 10.1007/s00158-009-0477-y 10.1016/j.jcp.2003.09.032 10.1115/1.2895903 10.1007/s00158-006-0088-9 10.1002/nme.1626 10.2514/3.61525 10.1016/j.cma.2010.02.002 10.1016/S0045-7825(02)00559-5 10.1016/j.ijsolstr.2008.05.034 10.1016/S0022-460X(02)01067-2 10.1007/s00466-008-0312-0 10.1115/IMECE2009-12828 10.1007/s00158-004-0503-z 10.1016/j.jsv.2003.08.009 10.1121/1.2770541 10.2514/3.10795 10.1016/S0045-7825(00)00379-0 10.1016/S0045-7949(99)00056-5 10.1016/0045-7825(88)90086-2 10.1002/nme.1900 10.1115/1.1569512 10.1007/s001580050130 10.1002/nme.2065 10.1007/BF00370133 |
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| References | Bendsøe, Sigmund (b0035) 2003 Wang, Wang, Guo (b0050) 2003; 192 Morand, Ohayon (b0160) 1995 Maeda, Nishiwaki, Izui, Yoshimura, Matsui, Terada (b0085) 2006; 67 Lee, Wang, Dikec (b0095) 2004; 276 Akl, El-Sabbagh, Al-Mitani, Baz (b0120) 2009; 46 Bendsøe, Kikuchi (b0030) 1988; 71 Ohayon, Soize (b0125) 1998 Ma, Hagiwara (b0005) 1991; 29 Allaire, Jouve, Toader (b0045) 2004; 194 Choi, Kim (b0135) 2005 Ohayon (b0155) 2001; 190 Pedersen (b0060) 2000; 20 Ma, Kikuchi, Cheng, Hagiwara (b0055) 1995; 62 Jensen (b0070) 2007; 72 Du, Olhoff (b0110) 2010; 42 Yoon, Jensen, Ole (b0100) 2007; 70 Shu L, Ma ZD, Fang ZD, Topology-boundary optimization of coupled structural–acoustic systems. In: Proceedings of ASME 2009 international mechanical engineering congress and exposition, vol. 15. Florida, USA; 2009. pp. 471–478. Du, Olhoff (b0105) 2007; 33 Nocedal, Wright (b0150) 2006 Kim, Kim (b0080) 2000; 74 Liu, Korvink, Huang (b0140) 2005; 29 Ma, Kikuchi, Hagiwara (b0065) 1993; 13 Lee, Kim, Kim, Kim, Kang (b0115) 2007; 122 Osher, Fedkiw (b0130) 2002 Marburg, Beer, Gier, Hardtke (b0025) 2002; 252 Sandberg, Ohayon (b0145) 2009 Ma, Hagiwara (b0010) 1991; 29 Yoon (b0075) 2010; 199 Kim, Dong, Choi, Vlahopoulos, Ma, Castanier (b0015) 2003; 263 Huang, Xie (b0040) 2009; 43 Luo, Gea (b0090) 2003; 125 Maeda (10.1016/j.compstruc.2013.10.019_b0085) 2006; 67 Ma (10.1016/j.compstruc.2013.10.019_b0005) 1991; 29 Huang (10.1016/j.compstruc.2013.10.019_b0040) 2009; 43 Yoon (10.1016/j.compstruc.2013.10.019_b0075) 2010; 199 Lee (10.1016/j.compstruc.2013.10.019_b0115) 2007; 122 Osher (10.1016/j.compstruc.2013.10.019_b0130) 2002 Ohayon (10.1016/j.compstruc.2013.10.019_b0125) 1998 Marburg (10.1016/j.compstruc.2013.10.019_b0025) 2002; 252 Ma (10.1016/j.compstruc.2013.10.019_b0065) 1993; 13 Lee (10.1016/j.compstruc.2013.10.019_b0095) 2004; 276 Sandberg (10.1016/j.compstruc.2013.10.019_b0145) 2009 Bendsøe (10.1016/j.compstruc.2013.10.019_b0035) 2003 Pedersen (10.1016/j.compstruc.2013.10.019_b0060) 2000; 20 Nocedal (10.1016/j.compstruc.2013.10.019_b0150) 2006 Kim (10.1016/j.compstruc.2013.10.019_b0080) 2000; 74 Choi (10.1016/j.compstruc.2013.10.019_b0135) 2005 Morand (10.1016/j.compstruc.2013.10.019_b0160) 1995 10.1016/j.compstruc.2013.10.019_b0020 Jensen (10.1016/j.compstruc.2013.10.019_b0070) 2007; 72 Yoon (10.1016/j.compstruc.2013.10.019_b0100) 2007; 70 Ma (10.1016/j.compstruc.2013.10.019_b0055) 1995; 62 Du (10.1016/j.compstruc.2013.10.019_b0110) 2010; 42 Ma (10.1016/j.compstruc.2013.10.019_b0010) 1991; 29 Du (10.1016/j.compstruc.2013.10.019_b0105) 2007; 33 Wang (10.1016/j.compstruc.2013.10.019_b0050) 2003; 192 Akl (10.1016/j.compstruc.2013.10.019_b0120) 2009; 46 Allaire (10.1016/j.compstruc.2013.10.019_b0045) 2004; 194 Bendsøe (10.1016/j.compstruc.2013.10.019_b0030) 1988; 71 Liu (10.1016/j.compstruc.2013.10.019_b0140) 2005; 29 Ohayon (10.1016/j.compstruc.2013.10.019_b0155) 2001; 190 Kim (10.1016/j.compstruc.2013.10.019_b0015) 2003; 263 Luo (10.1016/j.compstruc.2013.10.019_b0090) 2003; 125 |
| References_xml | – volume: 252 start-page: 591 year: 2002 end-page: 615 ident: b0025 article-title: Experimental verification of structural acoustic modelling and design optimization publication-title: J Sound Vib – reference: Shu L, Ma ZD, Fang ZD, Topology-boundary optimization of coupled structural–acoustic systems. In: Proceedings of ASME 2009 international mechanical engineering congress and exposition, vol. 15. Florida, USA; 2009. pp. 471–478. – volume: 20 start-page: 2 year: 2000 end-page: 11 ident: b0060 article-title: Maximization of eigenvalues using topology optimization publication-title: Struct Multi Optim – volume: 72 start-page: 1605 year: 2007 end-page: 1630 ident: b0070 article-title: Topology optimization of dynamics problems with Pade approximants publication-title: Int J Numer Methods Eng – volume: 43 start-page: 393 year: 2009 end-page: 401 ident: b0040 article-title: Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials publication-title: Comput Mech – volume: 70 start-page: 1049 year: 2007 end-page: 1075 ident: b0100 article-title: Topology optimization of acoustic–structure interaction problems using a mixed finite element formulation publication-title: Int J Numer Methods Eng – start-page: 488 year: 2006 end-page: 525 ident: b0150 article-title: Numerical optimization – volume: 29 start-page: 407 year: 2005 end-page: 417 ident: b0140 article-title: Structure topology optimization: fully coupled level set method via FEMLAB publication-title: Struct Multi Optim – volume: 190 start-page: 3009 year: 2001 end-page: 3019 ident: b0155 article-title: Reduced symmetric models for modal analysis of internal structural–acoustic and hydroelastic sloshing systems publication-title: Comput Methods Appl Mech Eng – volume: 199 start-page: 1744 year: 2010 end-page: 1763 ident: b0075 article-title: Structural topology optimization for frequency response problem using model reduction schemes publication-title: Comput Methods Appl Mech Eng – year: 1995 ident: b0160 article-title: Fluid–structure interaction – volume: 192 start-page: 227 year: 2003 end-page: 246 ident: b0050 article-title: A level set method for structural topology optimization publication-title: Comput Methods Appl Mech Eng – volume: 33 start-page: 305 year: 2007 end-page: 321 ident: b0105 article-title: Minimization of sound radiation from vibrating bi-material structures using topology optimization publication-title: Struct Multi Optim – volume: 42 start-page: 43 year: 2010 end-page: 54 ident: b0110 article-title: Topological design of vibrating structures with respect to optimum sound pressure characteristics in a surrounding acoustic medium publication-title: Struct Multi Optim – start-page: 3 year: 2005 end-page: 36 ident: b0135 article-title: Structural sensitivity analysis and optimization – volume: 46 start-page: 2060 year: 2009 end-page: 2074 ident: b0120 article-title: Topology optimization of a plate coupled with acoustic cavity publication-title: Int J Solids Struct – start-page: 58 year: 2003 end-page: 66 ident: b0035 article-title: Topology optimization theory, methods and applications – volume: 67 start-page: 597 year: 2006 end-page: 628 ident: b0085 article-title: Structural topology optimization of vibrating structures with specified eigenfrequencies and eigenmode shapes publication-title: Int J Numer Methods Eng – volume: 71 start-page: 197 year: 1988 end-page: 224 ident: b0030 article-title: Generating optimal topologies in structural design using a homogenization method publication-title: Comput Methods Appl Mech Eng – volume: 13 start-page: 157 year: 1993 end-page: 174 ident: b0065 article-title: Structural topology and shape optimization for a frequency response problem publication-title: Comput Mech – year: 1998 ident: b0125 article-title: Structural acoustics and vibration – volume: 29 start-page: 1787 year: 1991 end-page: 1801 ident: b0005 article-title: Sensitivity analysis methods for coupled acoustic–structural systems, Part 1: Modal sensitivities, Part 2: Direct frequency response and its sensitivities publication-title: AIAA J – start-page: 41 year: 2002 end-page: 46 ident: b0130 article-title: Level set methods and dynamic implicit surface – start-page: 1 year: 2009 end-page: 21 ident: b0145 article-title: Computational aspects of structural acoustics and vibration – volume: 125 start-page: 267 year: 2003 end-page: 273 ident: b0090 article-title: Optimal stiffener design for interior sound reduction using a topology optimization based approach publication-title: J Vib Acoust – volume: 62 start-page: 200 year: 1995 end-page: 207 ident: b0055 article-title: Topological optimization technique for free vibration problems publication-title: ASME J Mech Des – volume: 276 start-page: 899 year: 2004 end-page: 918 ident: b0095 article-title: Topology optimization for the radiation and scattering of sound from thin-body using genetic algorithms publication-title: J Sound Vib – volume: 263 start-page: 569 year: 2003 end-page: 591 ident: b0015 article-title: Design sensitivity analysis for a sequential structural–acoustic problem publication-title: J Sound Vib – volume: 194 start-page: 363 year: 2004 end-page: 393 ident: b0045 article-title: Structural optimization using sensitivity analysis and a level-set method publication-title: J Comput Phys – volume: 122 start-page: 2097 year: 2007 end-page: 2106 ident: b0115 article-title: Optimal pyroclastic layer sequencing for sound transmission loss maximization by topology optimization method publication-title: J Acoust Soc Am – volume: 74 start-page: 375 year: 2000 end-page: 383 ident: b0080 article-title: MAC-based mode-tracking in structural topology optimization publication-title: Comput Struct – volume: 29 start-page: 1720 year: 1991 end-page: 1726 ident: b0010 article-title: Improved mode-superposition technique for modal frequency response analysis of coupled acoustic–structural systems publication-title: AIAA J – volume: 252 start-page: 591 issue: 4 year: 2002 ident: 10.1016/j.compstruc.2013.10.019_b0025 article-title: Experimental verification of structural acoustic modelling and design optimization publication-title: J Sound Vib doi: 10.1006/jsvi.2001.4037 – volume: 42 start-page: 43 year: 2010 ident: 10.1016/j.compstruc.2013.10.019_b0110 article-title: Topological design of vibrating structures with respect to optimum sound pressure characteristics in a surrounding acoustic medium publication-title: Struct Multi Optim doi: 10.1007/s00158-009-0477-y – start-page: 41 year: 2002 ident: 10.1016/j.compstruc.2013.10.019_b0130 – volume: 194 start-page: 363 year: 2004 ident: 10.1016/j.compstruc.2013.10.019_b0045 article-title: Structural optimization using sensitivity analysis and a level-set method publication-title: J Comput Phys doi: 10.1016/j.jcp.2003.09.032 – volume: 62 start-page: 200 year: 1995 ident: 10.1016/j.compstruc.2013.10.019_b0055 article-title: Topological optimization technique for free vibration problems publication-title: ASME J Mech Des doi: 10.1115/1.2895903 – volume: 33 start-page: 305 year: 2007 ident: 10.1016/j.compstruc.2013.10.019_b0105 article-title: Minimization of sound radiation from vibrating bi-material structures using topology optimization publication-title: Struct Multi Optim doi: 10.1007/s00158-006-0088-9 – start-page: 3 year: 2005 ident: 10.1016/j.compstruc.2013.10.019_b0135 – volume: 67 start-page: 597 year: 2006 ident: 10.1016/j.compstruc.2013.10.019_b0085 article-title: Structural topology optimization of vibrating structures with specified eigenfrequencies and eigenmode shapes publication-title: Int J Numer Methods Eng doi: 10.1002/nme.1626 – volume: 29 start-page: 1787 year: 1991 ident: 10.1016/j.compstruc.2013.10.019_b0005 article-title: Sensitivity analysis methods for coupled acoustic–structural systems, Part 1: Modal sensitivities, Part 2: Direct frequency response and its sensitivities publication-title: AIAA J doi: 10.2514/3.61525 – volume: 199 start-page: 1744 year: 2010 ident: 10.1016/j.compstruc.2013.10.019_b0075 article-title: Structural topology optimization for frequency response problem using model reduction schemes publication-title: Comput Methods Appl Mech Eng doi: 10.1016/j.cma.2010.02.002 – volume: 192 start-page: 227 year: 2003 ident: 10.1016/j.compstruc.2013.10.019_b0050 article-title: A level set method for structural topology optimization publication-title: Comput Methods Appl Mech Eng doi: 10.1016/S0045-7825(02)00559-5 – volume: 46 start-page: 2060 year: 2009 ident: 10.1016/j.compstruc.2013.10.019_b0120 article-title: Topology optimization of a plate coupled with acoustic cavity publication-title: Int J Solids Struct doi: 10.1016/j.ijsolstr.2008.05.034 – year: 1998 ident: 10.1016/j.compstruc.2013.10.019_b0125 – volume: 263 start-page: 569 year: 2003 ident: 10.1016/j.compstruc.2013.10.019_b0015 article-title: Design sensitivity analysis for a sequential structural–acoustic problem publication-title: J Sound Vib doi: 10.1016/S0022-460X(02)01067-2 – volume: 43 start-page: 393 issue: 3 year: 2009 ident: 10.1016/j.compstruc.2013.10.019_b0040 article-title: Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials publication-title: Comput Mech doi: 10.1007/s00466-008-0312-0 – ident: 10.1016/j.compstruc.2013.10.019_b0020 doi: 10.1115/IMECE2009-12828 – volume: 29 start-page: 407 issue: 6 year: 2005 ident: 10.1016/j.compstruc.2013.10.019_b0140 article-title: Structure topology optimization: fully coupled level set method via FEMLAB publication-title: Struct Multi Optim doi: 10.1007/s00158-004-0503-z – volume: 276 start-page: 899 year: 2004 ident: 10.1016/j.compstruc.2013.10.019_b0095 article-title: Topology optimization for the radiation and scattering of sound from thin-body using genetic algorithms publication-title: J Sound Vib doi: 10.1016/j.jsv.2003.08.009 – volume: 122 start-page: 2097 year: 2007 ident: 10.1016/j.compstruc.2013.10.019_b0115 article-title: Optimal pyroclastic layer sequencing for sound transmission loss maximization by topology optimization method publication-title: J Acoust Soc Am doi: 10.1121/1.2770541 – volume: 29 start-page: 1720 year: 1991 ident: 10.1016/j.compstruc.2013.10.019_b0010 article-title: Improved mode-superposition technique for modal frequency response analysis of coupled acoustic–structural systems publication-title: AIAA J doi: 10.2514/3.10795 – volume: 190 start-page: 3009 year: 2001 ident: 10.1016/j.compstruc.2013.10.019_b0155 article-title: Reduced symmetric models for modal analysis of internal structural–acoustic and hydroelastic sloshing systems publication-title: Comput Methods Appl Mech Eng doi: 10.1016/S0045-7825(00)00379-0 – year: 1995 ident: 10.1016/j.compstruc.2013.10.019_b0160 – volume: 74 start-page: 375 year: 2000 ident: 10.1016/j.compstruc.2013.10.019_b0080 article-title: MAC-based mode-tracking in structural topology optimization publication-title: Comput Struct doi: 10.1016/S0045-7949(99)00056-5 – volume: 71 start-page: 197 year: 1988 ident: 10.1016/j.compstruc.2013.10.019_b0030 article-title: Generating optimal topologies in structural design using a homogenization method publication-title: Comput Methods Appl Mech Eng doi: 10.1016/0045-7825(88)90086-2 – volume: 70 start-page: 1049 year: 2007 ident: 10.1016/j.compstruc.2013.10.019_b0100 article-title: Topology optimization of acoustic–structure interaction problems using a mixed finite element formulation publication-title: Int J Numer Methods Eng doi: 10.1002/nme.1900 – volume: 125 start-page: 267 year: 2003 ident: 10.1016/j.compstruc.2013.10.019_b0090 article-title: Optimal stiffener design for interior sound reduction using a topology optimization based approach publication-title: J Vib Acoust doi: 10.1115/1.1569512 – start-page: 1 year: 2009 ident: 10.1016/j.compstruc.2013.10.019_b0145 – volume: 20 start-page: 2 issue: 1 year: 2000 ident: 10.1016/j.compstruc.2013.10.019_b0060 article-title: Maximization of eigenvalues using topology optimization publication-title: Struct Multi Optim doi: 10.1007/s001580050130 – start-page: 58 year: 2003 ident: 10.1016/j.compstruc.2013.10.019_b0035 – volume: 72 start-page: 1605 year: 2007 ident: 10.1016/j.compstruc.2013.10.019_b0070 article-title: Topology optimization of dynamics problems with Pade approximants publication-title: Int J Numer Methods Eng doi: 10.1002/nme.2065 – volume: 13 start-page: 157 issue: 3 year: 1993 ident: 10.1016/j.compstruc.2013.10.019_b0065 article-title: Structural topology and shape optimization for a frequency response problem publication-title: Comput Mech doi: 10.1007/BF00370133 – start-page: 488 year: 2006 ident: 10.1016/j.compstruc.2013.10.019_b0150 |
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| SubjectTerms | Coupled structural–acoustic system Level set method Noise reduction Topology optimization |
| Title | Level set based topology optimization of vibrating structures for coupled acoustic–structural dynamics |
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