Stress‐based multi‐material topology optimization of compliant mechanisms
In this paper, a level‐set‐based method is presented to deal with the multi‐material topology optimization of compliant mechanisms with stress constraints. A novel stress‐based multi‐material topology optimization model of compliant mechanisms is proposed. In this model, the multi‐material level set...
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| Published in | International journal for numerical methods in engineering Vol. 113; no. 7; pp. 1021 - 1044 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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17.02.2018
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| Abstract | In this paper, a level‐set‐based method is presented to deal with the multi‐material topology optimization of compliant mechanisms with stress constraints. A novel stress‐based multi‐material topology optimization model of compliant mechanisms is proposed. In this model, the multi‐material level set topology description model and the separable stress interpolation scheme are adopted. The weighted sum method is used to deal with the multi‐objective optimization of the output displacement and compliance of compliant mechanisms. The penalty of stresses is also considered in the objective function to control the local stress level in different materials. To solve the optimization problem, the parametric level set method is employed, and the sensitivity analysis is conducted. Application of the method is demonstrated by 2 numerical examples. Results show that the multi‐material structures without undesirable de facto hinges can be obtained. The output displacement and compliance of the compliant mechanisms are optimized, and stress constraints in different materials are simultaneously satisfied. |
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| AbstractList | In this paper, a level‐set‐based method is presented to deal with the multi‐material topology optimization of compliant mechanisms with stress constraints. A novel stress‐based multi‐material topology optimization model of compliant mechanisms is proposed. In this model, the multi‐material level set topology description model and the separable stress interpolation scheme are adopted. The weighted sum method is used to deal with the multi‐objective optimization of the output displacement and compliance of compliant mechanisms. The penalty of stresses is also considered in the objective function to control the local stress level in different materials. To solve the optimization problem, the parametric level set method is employed, and the sensitivity analysis is conducted. Application of the method is demonstrated by 2 numerical examples. Results show that the multi‐material structures without undesirable de facto hinges can be obtained. The output displacement and compliance of the compliant mechanisms are optimized, and stress constraints in different materials are simultaneously satisfied. Abstract In this paper, a level‐set‐based method is presented to deal with the multi‐material topology optimization of compliant mechanisms with stress constraints. A novel stress‐based multi‐material topology optimization model of compliant mechanisms is proposed. In this model, the multi‐material level set topology description model and the separable stress interpolation scheme are adopted. The weighted sum method is used to deal with the multi‐objective optimization of the output displacement and compliance of compliant mechanisms. The penalty of stresses is also considered in the objective function to control the local stress level in different materials. To solve the optimization problem, the parametric level set method is employed, and the sensitivity analysis is conducted. Application of the method is demonstrated by 2 numerical examples. Results show that the multi‐material structures without undesirable de facto hinges can be obtained. The output displacement and compliance of the compliant mechanisms are optimized, and stress constraints in different materials are simultaneously satisfied. |
| Author | Gao, Liang Luo, Zhen Xiao, Mi Chu, Sheng Li, Hao |
| Author_xml | – sequence: 1 givenname: Sheng surname: Chu fullname: Chu, Sheng organization: Huazhong University of Science and Technology – sequence: 2 givenname: Liang surname: Gao fullname: Gao, Liang organization: Huazhong University of Science and Technology – sequence: 3 givenname: Mi orcidid: 0000-0002-5544-9935 surname: Xiao fullname: Xiao, Mi email: xiaomi@hust.edu.cn organization: Huazhong University of Science and Technology – sequence: 4 givenname: Zhen surname: Luo fullname: Luo, Zhen organization: The University of Technology, Sydney – sequence: 5 givenname: Hao surname: Li fullname: Li, Hao organization: The University of Technology, Sydney |
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| Cites_doi | 10.1016/j.cma.2016.04.001 10.1007/s00158-015-1279-z 10.1007/s001580050176 10.1002/(SICI)1097-0207(19981230)43:8<1453::AID-NME480>3.0.CO;2-2 10.1007/s004190050248 10.1016/j.cma.2016.03.017 10.1016/j.enganabound.2007.05.007 10.1115/1.2959094 10.1002/nme.1620240207 10.1063/1.117961 10.1016/j.advengsoft.2015.03.001 10.1115/1.2826242 10.1016/j.jcp.2007.08.011 10.1007/BF02123482 10.1002/nme.4296 10.1115/1.1909206 10.1016/S0045-7949(01)00126-2 10.1016/j.cma.2013.10.003 10.1007/s00158-013-0971-0 10.1007/s10409-009-0240-z 10.1016/S0045-7825(02)00559-5 10.1016/j.cma.2016.05.016 10.1016/j.finel.2013.12.003 10.1007/978-3-319-00717-5_3 10.1080/03052150801985544 10.1007/BF01197454 10.2514/6.1998-4906 10.1016/j.cma.2014.11.002 10.1007/s00158-007-0203-6 10.1002/nme.2092 10.1016/j.cma.2008.08.003 10.1115/DETC98/MECH-5937 10.1016/j.cma.2003.10.008 10.1016/j.finel.2013.11.006 10.1007/s00158-015-1372-3 10.1115/DETC2007-34437 10.1007/s00158-004-0512-y 10.1080/08905459708945415 |
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| References | 2015; 283 2009; 25 1997; 119 2007; 227 2016; 308 2016; 306 2016; 305 2015; 53 2015; 52 1997; 25 1999; 69 1998 2014; 49 2008; 36 2007 2004; 6 2014; 46 2003; 192 1994 2008; 32 2008; 76 2005 2003 2014; 85 1995; 4 1998; 43 2014; 82 2001; 21 1987; 24 2012; 91 2001 2015; 85 2005; 127 1997; 13 2004; 193 2005; 30 1986 2017 2016 2013 1996; 69 2008; 40 2008; 198 2009; 1 2001; 79 2014; 268 e_1_2_8_28_1 Lopes CG (e_1_2_8_9_1) 2016 e_1_2_8_24_1 e_1_2_8_26_1 Bendsøe MP (e_1_2_8_14_1) 2003 Zuo W (e_1_2_8_25_1) 2016 e_1_2_8_5_1 e_1_2_8_20_1 e_1_2_8_43_1 e_1_2_8_22_1 e_1_2_8_45_1 e_1_2_8_41_1 e_1_2_8_17_1 Haug EJ (e_1_2_8_46_1) 1986 e_1_2_8_19_1 e_1_2_8_13_1 e_1_2_8_36_1 e_1_2_8_15_1 e_1_2_8_38_1 e_1_2_8_11_1 e_1_2_8_34_1 e_1_2_8_30_1 e_1_2_8_29_1 Choi KK (e_1_2_8_48_1) 2005 e_1_2_8_27_1 Zhang W (e_1_2_8_49_1) 2015; 53 e_1_2_8_4_1 Zhu B (e_1_2_8_7_1) 2014; 46 e_1_2_8_6_1 e_1_2_8_8_1 Wang NF (e_1_2_8_32_1) 2017 e_1_2_8_21_1 e_1_2_8_42_1 e_1_2_8_23_1 e_1_2_8_44_1 Li R (e_1_2_8_3_1) 2016 e_1_2_8_40_1 Howell LL (e_1_2_8_2_1) 2001 e_1_2_8_18_1 e_1_2_8_39_1 e_1_2_8_35_1 e_1_2_8_16_1 e_1_2_8_37_1 Wang MY (e_1_2_8_47_1) 2004; 6 e_1_2_8_10_1 e_1_2_8_31_1 e_1_2_8_12_1 e_1_2_8_33_1 e_1_2_8_50_1 |
| References_xml | – volume: 193 start-page: 469 year: 2004 end-page: 496 article-title: ‘Color’ level sets: a multiphase method for structural topology optimization with multiple materials publication-title: Comput Methods Appl Mech Eng – volume: 305 start-page: 359 year: 2016 end-page: 375 article-title: Topology optimization of compliant mechanism and its support through a level set method publication-title: Comput Methods Appl Mech Eng – volume: 306 start-page: 299 year: 2016 end-page: 318 article-title: Structural topology optimization with minimum distance control of multiphase embedded components by level set method publication-title: Comput Methods Appl Mech Eng – volume: 127 start-page: 941 year: 2005 end-page: 956 article-title: Design of multimaterial compliant mechanisms using level‐set methods publication-title: J Mech Des – year: 2005 – volume: 13 start-page: 258 year: 1997 end-page: 266 article-title: ε‐relaxed approach in structural topology optimization publication-title: Struct Optim – volume: 69 start-page: 3203 year: 1996 end-page: 3205 article-title: Composites with extremal thermal expansion coefficients publication-title: Appl Phys Lett – year: 2001 – volume: 91 start-page: 843 year: 2012 end-page: 871 article-title: A new level set method for topology optimization of distributed compliant mechanisms publication-title: Int J Numer Methods Eng – volume: 69 start-page: 635 year: 1999 end-page: 654 article-title: Material interpolation schemes in topology optimization publication-title: Arch Appl Mech – volume: 24 start-page: 359 year: 1987 end-page: 373 article-title: The method of moving asymptotes: a new method for structural optimization publication-title: Int J Numer Methods Eng – volume: 308 start-page: 113 year: 2016 end-page: 133 article-title: Multi‐material topology optimization considering interface behavior via XFEM and level set method publication-title: Comput Methods Appl Mech Eng – volume: 52 start-page: 929 year: 2015 end-page: 943 article-title: Stress‐constrained topology optimization for compliant mechanism design publication-title: Struct Multidiscip Optim – volume: 192 start-page: 227 year: 2003 end-page: 246 article-title: A level set method for structural topology optimization publication-title: Comput Methods Appl Mech Eng – volume: 198 start-page: 318 year: 2008 end-page: 331 article-title: A new level set method for systematic design of hinge‐free compliant mechanisms publication-title: Comput Methods Appl Mech Eng – volume: 227 start-page: 680 year: 2007 end-page: 705 article-title: Shape and topology optimization of compliant mechanisms using a parameterization level set method publication-title: J Comput Phys – year: 1994 – year: 1998 – start-page: 1 year: 2017 end-page: 23 article-title: Hierarchical optimization for topology design of multi‐material compliant mechanisms publication-title: Eng Optim – volume: 43 start-page: 1453 year: 1998 end-page: 1478 article-title: Topology optimization of continuum structures with local stress constraints publication-title: Int J Numer Methods Eng – volume: 40 start-page: 529 year: 2008 end-page: 558 article-title: Adaptive moving mesh level set method for structure topology optimization publication-title: Eng Optim – year: 1986 – start-page: 1501 year: 1998 end-page: 1509 – start-page: 35 year: 2013 end-page: 48 – start-page: 1 year: 2016 end-page: 15 article-title: Multi‐material topology optimization using ordered SIMP interpolation publication-title: Struct Multidiscip Optim – volume: 25 start-page: 493 year: 1997 end-page: 524 article-title: On the design of compliant mechanisms using topology optimization publication-title: Mech Based Des Struc – volume: 21 start-page: 120 year: 2001 end-page: 127 article-title: A 99 line topology optimization code written in Matlab publication-title: Struct Multidiscip Optim – volume: 6 start-page: 373 year: 2004 end-page: 395 article-title: PDE‐driven level sets, shape sensitivity and curvature flow for structural topology optimization publication-title: Comput Model Eng Sci – start-page: 8(8) year: 2016 article-title: An augmented formulation of distributed compliant mechanism optimization using a level set method publication-title: Adv Mech Eng – volume: 85 start-page: 11 year: 2014 end-page: 19 article-title: Topology synthesis of multi‐material compliant mechanisms with a Sequential Element Rejection and Admission method publication-title: Finite Elem Anal Des – volume: 36 start-page: 125 year: 2008 end-page: 141 article-title: On an alternative approach to stress constraints relaxation in topology optimization publication-title: Struct Multidiscip Optim – volume: 283 start-page: 1570 year: 2015 end-page: 1586 article-title: A multi‐material level set‐based topology and shape optimization method publication-title: Comput Methods Appl Mech Eng – volume: 4 start-page: 389 year: 1995 end-page: 396 article-title: Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree publication-title: Adv Comput Math – volume: 119 start-page: 238 year: 1997 end-page: 245 article-title: Topological synthesis of compliant mechanisms using multi‐criteria optimization publication-title: J Mech Design – year: 2007 – year: 2003 – volume: 46 start-page: 580 year: 2014 end-page: 605 article-title: Topology optimization of hinge‐free compliant mechanisms using level set methods publication-title: Struct Multidiscip Optim – volume: 32 start-page: 909 year: 2008 end-page: 918 article-title: Minimum stress optimal design with the level set method publication-title: Eng Anal Bound Elem – start-page: 1 year: 2016 end-page: 10 article-title: Topology design of compliant mechanisms with stress constraints based on the topological derivative concept publication-title: Struct Multidiscip Optim – volume: 30 start-page: 142 year: 2005 end-page: 154 article-title: Compliant mechanism design using multi‐objective topology optimization scheme of continuum structures publication-title: Struct Multidiscip Optim – volume: 76 start-page: 1 year: 2008 end-page: 26 article-title: A level set‐based parameterization method for structural shape and topology optimization publication-title: Int J Numer Methods Eng – volume: 268 start-page: 632 year: 2014 end-page: 655 article-title: Stress‐related topology optimization of continuum structures involving multi‐phase materials publication-title: Comput Methods Appl Mech Eng – volume: 85 start-page: 61 year: 2015 end-page: 72 article-title: Topology optimization of compliant mechanisms using element‐free Galerkin method publication-title: Adv Eng Softw – volume: 1 start-page: 1 year: 2009 end-page: 8 article-title: A comparative study of the formulations and benchmark problems for the topology optimization of compliant mechanisms publication-title: J Mechanisms Robotics – volume: 25 start-page: 227 year: 2009 end-page: 239 article-title: Manufacturing tolerant topology optimization publication-title: Acta Mech Sin – volume: 82 start-page: 16 year: 2014 end-page: 31 article-title: Separable stress interpolation scheme for stress‐based topology optimization with multiple homogenous materials publication-title: Finite Elem Anal Des – volume: 53 start-page: 1243 year: 2015 end-page: 1260 article-title: A new topology optimization approach based on Moving Morphable Components (MMC) and the ersatz material model publication-title: Struct Multidiscip Optim – volume: 49 start-page: 199 year: 2014 end-page: 207 article-title: A strain based topology optimization method for compliant mechanism design publication-title: Struct Multidiscip Optim – volume: 79 start-page: 1839 year: 2001 end-page: 1850 article-title: Optimality criteria method for topology optimization under multiple constraints publication-title: Comput Struct – ident: e_1_2_8_26_1 doi: 10.1016/j.cma.2016.04.001 – ident: e_1_2_8_8_1 doi: 10.1007/s00158-015-1279-z – ident: e_1_2_8_43_1 doi: 10.1007/s001580050176 – volume: 6 start-page: 373 year: 2004 ident: e_1_2_8_47_1 article-title: PDE‐driven level sets, shape sensitivity and curvature flow for structural topology optimization publication-title: Comput Model Eng Sci contributor: fullname: Wang MY – ident: e_1_2_8_39_1 doi: 10.1002/(SICI)1097-0207(19981230)43:8<1453::AID-NME480>3.0.CO;2-2 – volume-title: Structural Sensitivity Analysis and Optimization year: 2005 ident: e_1_2_8_48_1 contributor: fullname: Choi KK – ident: e_1_2_8_28_1 doi: 10.1007/s004190050248 – ident: e_1_2_8_4_1 doi: 10.1016/j.cma.2016.03.017 – volume: 46 start-page: 580 year: 2014 ident: e_1_2_8_7_1 article-title: Topology optimization of hinge‐free compliant mechanisms using level set methods publication-title: Struct Multidiscip Optim contributor: fullname: Zhu B – ident: e_1_2_8_20_1 doi: 10.1016/j.enganabound.2007.05.007 – ident: e_1_2_8_15_1 doi: 10.1115/1.2959094 – start-page: 1 year: 2017 ident: e_1_2_8_32_1 article-title: Hierarchical optimization for topology design of multi‐material compliant mechanisms publication-title: Eng Optim contributor: fullname: Wang NF – ident: e_1_2_8_45_1 doi: 10.1002/nme.1620240207 – start-page: 1 year: 2016 ident: e_1_2_8_9_1 article-title: Topology design of compliant mechanisms with stress constraints based on the topological derivative concept publication-title: Struct Multidiscip Optim contributor: fullname: Lopes CG – ident: e_1_2_8_27_1 doi: 10.1063/1.117961 – ident: e_1_2_8_5_1 doi: 10.1016/j.advengsoft.2015.03.001 – ident: e_1_2_8_16_1 doi: 10.1115/1.2826242 – start-page: 1 year: 2016 ident: e_1_2_8_25_1 article-title: Multi‐material topology optimization using ordered SIMP interpolation publication-title: Struct Multidiscip Optim contributor: fullname: Zuo W – ident: e_1_2_8_36_1 doi: 10.1016/j.jcp.2007.08.011 – ident: e_1_2_8_38_1 doi: 10.1007/BF02123482 – ident: e_1_2_8_12_1 doi: 10.1002/nme.4296 – ident: e_1_2_8_29_1 doi: 10.1115/1.1909206 – ident: e_1_2_8_6_1 – ident: e_1_2_8_44_1 doi: 10.1016/S0045-7949(01)00126-2 – ident: e_1_2_8_33_1 doi: 10.1016/j.cma.2013.10.003 – ident: e_1_2_8_21_1 doi: 10.1007/s00158-013-0971-0 – ident: e_1_2_8_19_1 doi: 10.1007/s10409-009-0240-z – start-page: 8(8) year: 2016 ident: e_1_2_8_3_1 article-title: An augmented formulation of distributed compliant mechanism optimization using a level set method publication-title: Adv Mech Eng contributor: fullname: Li R – ident: e_1_2_8_42_1 doi: 10.1016/S0045-7825(02)00559-5 – ident: e_1_2_8_24_1 doi: 10.1016/j.cma.2016.05.016 – volume-title: Topology Optimization: Theory, Methods and Applications year: 2003 ident: e_1_2_8_14_1 contributor: fullname: Bendsøe MP – ident: e_1_2_8_34_1 doi: 10.1016/j.finel.2013.12.003 – ident: e_1_2_8_22_1 doi: 10.1007/978-3-319-00717-5_3 – volume-title: Design Sensitivity Analysis of Structural Systems year: 1986 ident: e_1_2_8_46_1 contributor: fullname: Haug EJ – ident: e_1_2_8_50_1 doi: 10.1080/03052150801985544 – ident: e_1_2_8_40_1 doi: 10.1007/BF01197454 – ident: e_1_2_8_23_1 doi: 10.2514/6.1998-4906 – ident: e_1_2_8_35_1 doi: 10.1016/j.cma.2014.11.002 – ident: e_1_2_8_41_1 doi: 10.1007/s00158-007-0203-6 – ident: e_1_2_8_37_1 doi: 10.1002/nme.2092 – ident: e_1_2_8_13_1 doi: 10.1016/j.cma.2008.08.003 – ident: e_1_2_8_17_1 doi: 10.1115/DETC98/MECH-5937 – ident: e_1_2_8_30_1 doi: 10.1016/j.cma.2003.10.008 – ident: e_1_2_8_31_1 doi: 10.1016/j.finel.2013.11.006 – volume: 53 start-page: 1243 year: 2015 ident: e_1_2_8_49_1 article-title: A new topology optimization approach based on Moving Morphable Components (MMC) and the ersatz material model publication-title: Struct Multidiscip Optim doi: 10.1007/s00158-015-1372-3 contributor: fullname: Zhang W – ident: e_1_2_8_11_1 doi: 10.1115/DETC2007-34437 – volume-title: Compliant Mechanisms year: 2001 ident: e_1_2_8_2_1 contributor: fullname: Howell LL – ident: e_1_2_8_18_1 doi: 10.1007/s00158-004-0512-y – ident: e_1_2_8_10_1 doi: 10.1080/08905459708945415 |
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| Snippet | In this paper, a level‐set‐based method is presented to deal with the multi‐material topology optimization of compliant mechanisms with stress constraints. A... Abstract In this paper, a level‐set‐based method is presented to deal with the multi‐material topology optimization of compliant mechanisms with stress... In this paper, a level-set-based method is presented to deal with the multi-material topology optimization of compliant mechanisms with stress constraints. A... |
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| SubjectTerms | compliant mechanisms level set method Mathematical models Multiple objective analysis multi‐material topology optimization Sensitivity analysis stress constraint Stresses Topology optimization |
| Title | Stress‐based multi‐material topology optimization of compliant mechanisms |
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