Multi-objective design optimization using hybrid search algorithms with interval uncertainty for thin-walled structures
Thin-walled structures have been widely used in vehicle components due to their lightweight characteristics. To design structural parameters that are more in line with actual requirements, it is often necessary to consider the influence of uncertainty in design parameters. An effective multi-objecti...
Uloženo v:
| Vydáno v: | Thin-walled structures Ročník 175; s. 109218 |
|---|---|
| Hlavní autoři: | , , , , , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier Ltd
01.06.2022
|
| Témata: | |
| ISSN: | 0263-8231, 1879-3223 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | Thin-walled structures have been widely used in vehicle components due to their lightweight characteristics. To design structural parameters that are more in line with actual requirements, it is often necessary to consider the influence of uncertainty in design parameters. An effective multi-objective design optimization method using hybrid search algorithms under interval uncertainty (MDOHSA) is proposed in this study. The MDOHSA mainly consists of the modified gray wolf optimization (mGWO) and the pattern search (PS) algorithms. The mGWO algorithm is applied to derive a new solution set and the PS algorithm is used to quickly search the lower and upper bounds of interval responses in MDOHSA. The non-dominated strategy considering uncertainty is designed by the possibility degree of interval value. The mGWO is designed by improving the initialization population and the updating mechanism. Some standard test functions are implemented to analyze the proposed method, and the result shows that the mGWO algorithm is superior to the other analogous algorithms. In this study, the car subframe, the hexagonal fractal structure, and the bracket of an intelligent sanitation vehicle are optimized by MDOHSA. The above results show that the optimization method proposed in this study is effective. The feasible solution of the multi-objective design optimization method can be selected according to the interval deviation degree of design variables and performance requirements. This study develops an effective multi-objective design optimization method for thin-walled structures under interval uncertainty and can continue to be used for the uncertain optimization of other engineering problems.
•An effective multi-objective optimization method using hybrid search algorithms under interval uncertainty is proposed.•The modified grey wolf optimization is designed by improving the initialization population and the updating mechanism.•Thin-walled structures considering modal, dynamic crushing, and static loading are taken as optimization examples. |
|---|---|
| AbstractList | Thin-walled structures have been widely used in vehicle components due to their lightweight characteristics. To design structural parameters that are more in line with actual requirements, it is often necessary to consider the influence of uncertainty in design parameters. An effective multi-objective design optimization method using hybrid search algorithms under interval uncertainty (MDOHSA) is proposed in this study. The MDOHSA mainly consists of the modified gray wolf optimization (mGWO) and the pattern search (PS) algorithms. The mGWO algorithm is applied to derive a new solution set and the PS algorithm is used to quickly search the lower and upper bounds of interval responses in MDOHSA. The non-dominated strategy considering uncertainty is designed by the possibility degree of interval value. The mGWO is designed by improving the initialization population and the updating mechanism. Some standard test functions are implemented to analyze the proposed method, and the result shows that the mGWO algorithm is superior to the other analogous algorithms. In this study, the car subframe, the hexagonal fractal structure, and the bracket of an intelligent sanitation vehicle are optimized by MDOHSA. The above results show that the optimization method proposed in this study is effective. The feasible solution of the multi-objective design optimization method can be selected according to the interval deviation degree of design variables and performance requirements. This study develops an effective multi-objective design optimization method for thin-walled structures under interval uncertainty and can continue to be used for the uncertain optimization of other engineering problems.
•An effective multi-objective optimization method using hybrid search algorithms under interval uncertainty is proposed.•The modified grey wolf optimization is designed by improving the initialization population and the updating mechanism.•Thin-walled structures considering modal, dynamic crushing, and static loading are taken as optimization examples. |
| ArticleNumber | 109218 |
| Author | Chen, Xinbo Liu, Zhe Chen, Jiawei Gao, Yunkai Fang, Jianguang Xu, Gaoxiang Xu, Xiang Zhang, Yong |
| Author_xml | – sequence: 1 givenname: Xiang surname: Xu fullname: Xu, Xiang email: xiangxu@tongji.edu.cn organization: School of Automotive Studies, Tongji University, Shanghai 201804, China – sequence: 2 givenname: Gaoxiang surname: Xu fullname: Xu, Gaoxiang organization: School of Automotive Studies, Tongji University, Shanghai 201804, China – sequence: 3 givenname: Jiawei surname: Chen fullname: Chen, Jiawei organization: School of Mechanical Engineering, Tongji University, Shanghai 201804, China – sequence: 4 givenname: Zhe surname: Liu fullname: Liu, Zhe organization: School of Automotive Studies, Tongji University, Shanghai 201804, China – sequence: 5 givenname: Xinbo surname: Chen fullname: Chen, Xinbo email: chenxinbo@tongji.edu.cn organization: School of Automotive Studies, Tongji University, Shanghai 201804, China – sequence: 6 givenname: Yong surname: Zhang fullname: Zhang, Yong organization: College of Mechanical Engineering and Automation, Huaqiao University, Xiamen 361021, China – sequence: 7 givenname: Jianguang surname: Fang fullname: Fang, Jianguang organization: School of Civil and Environmental Engineering, University of Technology Sydney, Sydney, NSW 2007, Australia – sequence: 8 givenname: Yunkai surname: Gao fullname: Gao, Yunkai organization: School of Automotive Studies, Tongji University, Shanghai 201804, China |
| BookMark | eNp9kMtOwzAQRS1UJErhA9j5B1L8SOtErFDFSypiA2vLcabtRKlT2U6j8vW4lBWLrq6uRmc0c67JyHUOCLnjbMoZn9830ziEqWBCpF4KXlyQMS9UmUkh5IiMmZjLrBCSX5HrEBrGuOJlPibDe99GzLqqARtxD7SGgGtHu13ELX6biJ2jfUC3pptD5bGmAYy3G2radecxbraBDikough-b1raOws-mtQPdNV5GjfossG0LSQ2-t7G3kO4IZcr0wa4_csJ-Xp--ly8ZsuPl7fF4zKzolQxq1U6U8GcGzkzJedMVErmUhnBZrmq2RzKythZnoZWWJHPwIiVrEsJVVFDZeWEqNNe67sQPKy0xfj7VfQGW82ZPvrTjU7-9NGfPvlLJP9H7jxujT-cZR5ODKSX9gheB4uQhNTok19dd3iG_gEJMo7c |
| CitedBy_id | crossref_primary_10_1016_j_ast_2025_110965 crossref_primary_10_1016_j_tws_2024_111655 crossref_primary_10_1016_j_tws_2024_111603 crossref_primary_10_3390_axioms11120714 crossref_primary_10_1177_09544070221141506 crossref_primary_10_1016_j_engstruct_2022_115380 crossref_primary_10_3390_math13183018 crossref_primary_10_1016_j_jobe_2024_111317 crossref_primary_10_3390_mca27030049 |
| Cites_doi | 10.1016/j.tws.2021.108257 10.1016/j.tws.2015.04.031 10.1016/j.asoc.2021.107454 10.1631/jzus.A1300311 10.1162/106365600568202 10.1016/j.future.2017.02.048 10.1016/j.eswa.2018.12.003 10.1007/s00158-021-02911-5 10.1080/0305215X.2014.982632 10.1016/j.cma.2019.03.048 10.1016/j.asoc.2018.11.043 10.1016/j.cma.2018.07.015 10.1016/j.knosys.2021.107796 10.1016/j.tws.2020.107248 10.1016/j.ast.2019.01.032 10.1002/(SICI)1099-1360(199801)7:1<34::AID-MCDA161>3.0.CO;2-6 10.1007/s00158-016-1579-y 10.1007/s00500-019-03804-y 10.1016/j.apm.2019.10.019 10.1016/S0377-2217(99)00319-7 10.1002/nme.6751 10.1162/evco.1994.2.3.221 10.1109/4235.797969 10.1016/j.jspi.2004.02.014 10.1016/j.tws.2015.07.002 10.1137/S1052623400374495 10.1007/s00158-021-03065-0 10.1016/j.apm.2017.03.053 10.1016/j.tws.2018.12.033 10.1016/j.ress.2004.01.011 10.1016/j.asoc.2019.106003 10.1016/j.ejor.2007.03.031 10.1016/j.tws.2020.107410 10.1109/4235.996017 10.1016/j.asoc.2015.01.020 10.1016/j.apm.2013.11.027 10.1016/j.ijsolstr.2006.01.012 10.1016/j.compstruc.2012.12.028 10.1016/j.tws.2015.05.014 10.1016/j.tws.2020.106921 10.1016/j.advengsoft.2019.02.003 10.1016/j.apm.2018.12.025 10.1016/j.eswa.2015.10.039 10.1016/j.tws.2021.108087 10.1016/j.swevo.2011.08.001 10.1016/j.ress.2014.10.007 10.1016/j.istruc.2020.12.024 10.1016/j.compstruct.2018.03.099 10.1016/j.apm.2015.11.038 10.1016/j.advengsoft.2013.12.007 10.1016/j.cja.2019.11.002 10.1016/j.tws.2016.09.003 10.1016/j.ijnonlinmec.2014.08.005 10.1016/j.tws.2021.107545 10.1016/j.tws.2018.07.007 10.1016/j.apm.2014.10.015 10.1007/s00366-020-01077-w 10.1142/S0219876220500085 10.1016/j.tws.2017.09.028 10.1016/j.eswa.2017.06.009 |
| ContentType | Journal Article |
| Copyright | 2022 Elsevier Ltd |
| Copyright_xml | – notice: 2022 Elsevier Ltd |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.tws.2022.109218 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1879-3223 |
| ExternalDocumentID | 10_1016_j_tws_2022_109218 S0263823122001835 |
| GroupedDBID | --K --M .~1 0R~ 123 1B1 1~. 1~5 29Q 4.4 457 4G. 5VS 7-5 71M 8P~ 9JN AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO ABFNM ABJNI ABMAC ABTAH ABXDB ABYKQ ACDAQ ACGFS ACNNM ACRLP ADBBV ADEZE ADMUD ADTZH AEBSH AECPX AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AIEXJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HVGLF HZ~ IHE J1W JJJVA KOM LY7 M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG ROL RPZ SDF SDG SES SET SEW SPC SPCBC SST SSZ T5K WH7 WUQ XPP ZMT ZY4 ~G- 9DU AATTM AAXKI AAYWO AAYXX ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD |
| ID | FETCH-LOGICAL-c297t-d77197e61a35a91102b73437a20547d06e9bac545a9c2c245ea2f3d93eb8debc3 |
| ISICitedReferencesCount | 13 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000792947100005&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0263-8231 |
| IngestDate | Sat Nov 29 07:22:44 EST 2025 Tue Nov 18 22:24:58 EST 2025 Fri Feb 23 02:40:17 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Thin-walled structures Uncertainty Multi-objective optimization Vehicle structures Design optimization |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c297t-d77197e61a35a91102b73437a20547d06e9bac545a9c2c245ea2f3d93eb8debc3 |
| ParticipantIDs | crossref_citationtrail_10_1016_j_tws_2022_109218 crossref_primary_10_1016_j_tws_2022_109218 elsevier_sciencedirect_doi_10_1016_j_tws_2022_109218 |
| PublicationCentury | 2000 |
| PublicationDate | June 2022 2022-06-00 |
| PublicationDateYYYYMMDD | 2022-06-01 |
| PublicationDate_xml | – month: 06 year: 2022 text: June 2022 |
| PublicationDecade | 2020 |
| PublicationTitle | Thin-walled structures |
| PublicationYear | 2022 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Fang, Gao, Sun, Xu, Li (b3) 2015; 135 Liu, Qiu (b27) 2021; 64 Jin, Chen, Sudjianto (b55) 2005; 134 Lv, Gu, He, Zhou, Liu (b1) 2015; 94 Yu, Gu, Qian, Jiang, Wang, Yu (b38) 2021; 161 Xu, Zhang, Wang, Jiang, Wang (b66) 2018; 194 Wang (b16) 2019; 351 Lu, Gao, Pan, Li, Zheng (b42) 2019; 75 C.A.C. Coello and M.S. Lechuga (Eds.), MOPSO: a proposal for multiple objective particle swarm optimization, in: Proceedings of the 2002 Congress on Evolutionary Computation CEC’02 (Cat No02TH8600); 2002 12-17 2002. Song, Sun, Li (b46) 2016; 109 Zitzler, Deb, Thiele (b60) 2000; 8 Bae, Grandhi, Canfield (b14) 2004; 86 Xiong, Wang, Liu, Shi (b21) 2019; 86 Xu, Zhang, Chen, Liu, Xu, Gao (b67) 2019; 161–162 Li, Luo, Rong, Zhang (b31) 2013; 119 Fang, Gao, Sun, Qiu, Li (b48) 2015; 95 Su, Li, Qian, Mahadevan, Deng (b15) 2019; 23 Miao, Wan (b35) 2020; 17 Lei, Lv, Fang, Pang, Li, Sun (b2) 2021; 167 Qiu, Jin, Liu, Fu, Chen, Kim (b6) 2021; 162 Li, Bai, Gao, Shi, Wang, Ye, Gu, Xu, Liu (b17) 2021; 29 Bigdeli, Nouri (b37) 2019; 137 (b57) 2005 Li, Lu (b13) 2014; 38 Xu, Zhang, Wu, Dong (b47) 2018; 131 Jiang, Han, Liu, Liu (b53) 2008; 188 Liu, Wang, Gu, Li (b22) 2022; 237 Srinivas, Deb (b50) 1994; 2 Zapotecas-Martínez, García-Nájera, López-Jaimes (b39) 2019; 120 Dolan, Lewis, Torczon (b44) 2003; 14 Qiu, Zhu (b26) 2021; 122 Mirjalili, Saremi, Mirjalili, d. S. Coelho (b58) 2016; 47 Akbari, Hedayatzadeh, Ziarati, Hassanizadeh (b64) 2012; 2 Lei, Lv, Fang, Li, Sun (b4) 2021; 167 Meng, Hao, Li, Wang, Zhang (b23) 2015; 94 Zheng, Da, Li, Xiao, Gao (b28) 2020; 78 Wang, Qiu, Xu, Li (b11) 2017; 47 Heris (b63) 2015 Cheng, Duan, Liu, Li, Feng, Chen (b34) 2014; 15 Zhao, Yue, Liu, Gao, Zhang (b8) 2015; 39 Sengupta, Pal (b49) 2000; 127 Sun, Li, Fang, Li (b5) 2021; 161 Zhang, Xu, Sun, Lai, Li (b10) 2018; 122 Wang, Tian, Zhu, Cai (b19) 2020; 33 Fang, Sun, Qiu, Kim, Li (b7) 2017; 55 Sahu, Panda, Padhan (b59) 2015; 29 Wang, Zhang, Zhou, Ouyang (b45) 2021; 167 (b56) 2006 Zitzler, Thiele (b61) 1999; 3 Czyzżak, Jaszkiewicz (b62) 1998; 7 Feng, Zhang, Tian, Lv, Tian, Jia (b32) 2018; 86 Mirjalili, Mirjalili, Lewis (b54) 2014; 69 (b52) 2005 Xu, Chen, Liu, Zhang, Xu, Fang, Gao (b24) 2021 Wang, Yang, Li, Xu (b29) 2021; 108 (b43) 2016 Fang, Gao, Sun, Zhang, Li (b9) 2014; 67 Qiu, Wang, Chen (b25) 2006; 43 Jiang, Xie, Zhang, Han (b33) 2015; 47 Deb, Pratap, Agarwal, Meyarivan (b51) 2002; 6 Wang, Matthies (b18) 2018; 341 Fu, Liu, Xiao (b30) 2019; 69 Wang, Liu, Liu (b20) 2019; 131 Wansasueb, Pholdee, Panagant, Bureerat (b65) 2022; 38 Dey, Mukhopadhyay, Khodaparast, Adhikari (b12) 2016; 40 Yang, Yang, Wang, Jin, Li (b40) 2020; 87 Nuaekaew, Artrit, Pholdee, Bureerat (b41) 2017; 87 Yang (10.1016/j.tws.2022.109218_b40) 2020; 87 Su (10.1016/j.tws.2022.109218_b15) 2019; 23 Jin (10.1016/j.tws.2022.109218_b55) 2005; 134 Liu (10.1016/j.tws.2022.109218_b22) 2022; 237 Xiong (10.1016/j.tws.2022.109218_b21) 2019; 86 Zhang (10.1016/j.tws.2022.109218_b10) 2018; 122 Xu (10.1016/j.tws.2022.109218_b47) 2018; 131 Bigdeli (10.1016/j.tws.2022.109218_b37) 2019; 137 Srinivas (10.1016/j.tws.2022.109218_b50) 1994; 2 Li (10.1016/j.tws.2022.109218_b13) 2014; 38 Fu (10.1016/j.tws.2022.109218_b30) 2019; 69 Nuaekaew (10.1016/j.tws.2022.109218_b41) 2017; 87 Heris (10.1016/j.tws.2022.109218_b63) 2015 Sun (10.1016/j.tws.2022.109218_b5) 2021; 161 Xu (10.1016/j.tws.2022.109218_b66) 2018; 194 Wang (10.1016/j.tws.2022.109218_b20) 2019; 131 Wang (10.1016/j.tws.2022.109218_b18) 2018; 341 Qiu (10.1016/j.tws.2022.109218_b6) 2021; 162 Cheng (10.1016/j.tws.2022.109218_b34) 2014; 15 Dolan (10.1016/j.tws.2022.109218_b44) 2003; 14 Xu (10.1016/j.tws.2022.109218_b67) 2019; 161–162 Deb (10.1016/j.tws.2022.109218_b51) 2002; 6 Jiang (10.1016/j.tws.2022.109218_b53) 2008; 188 Lei (10.1016/j.tws.2022.109218_b2) 2021; 167 Song (10.1016/j.tws.2022.109218_b46) 2016; 109 Fang (10.1016/j.tws.2022.109218_b48) 2015; 95 Akbari (10.1016/j.tws.2022.109218_b64) 2012; 2 Fang (10.1016/j.tws.2022.109218_b9) 2014; 67 Xu (10.1016/j.tws.2022.109218_b24) 2021 (10.1016/j.tws.2022.109218_b52) 2005 Wang (10.1016/j.tws.2022.109218_b11) 2017; 47 Wang (10.1016/j.tws.2022.109218_b19) 2020; 33 Sengupta (10.1016/j.tws.2022.109218_b49) 2000; 127 Wansasueb (10.1016/j.tws.2022.109218_b65) 2022; 38 (10.1016/j.tws.2022.109218_b43) 2016 Wang (10.1016/j.tws.2022.109218_b45) 2021; 167 Qiu (10.1016/j.tws.2022.109218_b26) 2021; 122 Zitzler (10.1016/j.tws.2022.109218_b61) 1999; 3 Wang (10.1016/j.tws.2022.109218_b16) 2019; 351 (10.1016/j.tws.2022.109218_b56) 2006 Lei (10.1016/j.tws.2022.109218_b4) 2021; 167 Miao (10.1016/j.tws.2022.109218_b35) 2020; 17 Zhao (10.1016/j.tws.2022.109218_b8) 2015; 39 Lv (10.1016/j.tws.2022.109218_b1) 2015; 94 Wang (10.1016/j.tws.2022.109218_b29) 2021; 108 Qiu (10.1016/j.tws.2022.109218_b25) 2006; 43 Dey (10.1016/j.tws.2022.109218_b12) 2016; 40 Feng (10.1016/j.tws.2022.109218_b32) 2018; 86 Czyzżak (10.1016/j.tws.2022.109218_b62) 1998; 7 Mirjalili (10.1016/j.tws.2022.109218_b58) 2016; 47 Li (10.1016/j.tws.2022.109218_b31) 2013; 119 Bae (10.1016/j.tws.2022.109218_b14) 2004; 86 Zapotecas-Martínez (10.1016/j.tws.2022.109218_b39) 2019; 120 Li (10.1016/j.tws.2022.109218_b17) 2021; 29 10.1016/j.tws.2022.109218_b36 Fang (10.1016/j.tws.2022.109218_b7) 2017; 55 Fang (10.1016/j.tws.2022.109218_b3) 2015; 135 Liu (10.1016/j.tws.2022.109218_b27) 2021; 64 Lu (10.1016/j.tws.2022.109218_b42) 2019; 75 Zitzler (10.1016/j.tws.2022.109218_b60) 2000; 8 Jiang (10.1016/j.tws.2022.109218_b33) 2015; 47 Meng (10.1016/j.tws.2022.109218_b23) 2015; 94 Mirjalili (10.1016/j.tws.2022.109218_b54) 2014; 69 Yu (10.1016/j.tws.2022.109218_b38) 2021; 161 (10.1016/j.tws.2022.109218_b57) 2005 Sahu (10.1016/j.tws.2022.109218_b59) 2015; 29 Zheng (10.1016/j.tws.2022.109218_b28) 2020; 78 |
| References_xml | – volume: 161 year: 2021 ident: b5 article-title: On lower confidence bound improvement matrix-based approaches for multiobjective Bayesian optimization and its applications to thin-walled structures publication-title: Thin-Walled Struct. – volume: 122 start-page: 4922 year: 2021 end-page: 4943 ident: b26 article-title: A Newton iteration-based interval analysis method for nonlinear structural systems with uncertain-but-bounded parameters publication-title: Internat. J. Numer. Methods Engrg. – volume: 14 start-page: 567 year: 2003 end-page: 583 ident: b44 article-title: On the local convergence of pattern search publication-title: SIAM J. Optim. – volume: 94 start-page: 500 year: 2015 end-page: 511 ident: b1 article-title: Reliability design optimization of vehicle front-end structure for pedestrian lower extremity protection under multiple impact cases publication-title: Thin-Walled Struct. – volume: 237 year: 2022 ident: b22 article-title: Artificial neural network (ANN) - Bayesian probability framework (BPF) based method of dynamic force reconstruction under multi-source uncertainties publication-title: Knowl.-Based Syst. – volume: 167 year: 2021 ident: b45 article-title: Implementation of a novel six sigma multi-objective robustness optimization method based on the improved response surface model for bumper system design publication-title: Thin-Walled Struct. – volume: 40 start-page: 4412 year: 2016 end-page: 4428 ident: b12 article-title: Fuzzy uncertainty propagation in composites using Gram–Schmidt polynomial chaos expansion publication-title: Appl. Math. Model. – volume: 7 start-page: 34 year: 1998 end-page: 47 ident: b62 article-title: Pareto simulated annealing—a metaheuristic technique for multiple-objective combinatorial optimization publication-title: J. Multi-Criteria Decis. Anal. – volume: 120 start-page: 357 year: 2019 end-page: 371 ident: b39 article-title: Multi-objective grey wolf optimizer based on decomposition publication-title: Expert Syst. Appl. – volume: 15 start-page: 774 year: 2014 end-page: 788 ident: b34 article-title: Interval multiobjective optimization of structures based on radial basis function, interval analysis, and NSGA-II publication-title: J. Zhejiang Univ. Sci. A – volume: 109 start-page: 132 year: 2016 end-page: 142 ident: b46 article-title: Sensitivity analysis and reliability based design optimization for high-strength steel tailor welded thin-walled structures under crashworthiness publication-title: Thin-Walled Struct. – volume: 55 start-page: 1091 year: 2017 end-page: 1119 ident: b7 article-title: On design optimization for structural crashworthiness and its state of the art publication-title: Struct. Multidiscip. Optim. – volume: 87 year: 2020 ident: b40 article-title: An enhanced multi-objective grey wolf optimizer for service composition in cloud manufacturing publication-title: Appl. Soft Comput. – volume: 47 start-page: 106 year: 2016 end-page: 119 ident: b58 article-title: Multi-objective grey wolf optimizer: A novel algorithm for multi-criterion optimization publication-title: Expert Syst. Appl. – volume: 33 start-page: 1454 year: 2020 end-page: 1467 ident: b19 article-title: Multi-disciplinary design optimization with fuzzy uncertainties and its application in hybrid rocket motor powered launch vehicle publication-title: Chin. J. Aeronaut. – volume: 161 year: 2021 ident: b38 article-title: Application of tailor rolled blanks in optimum design of pure electric vehicle crashworthiness and lightweight publication-title: Thin-Walled Struct. – volume: 341 start-page: 640 year: 2018 end-page: 657 ident: b18 article-title: Evidence theory-based reliability optimization design using polynomial chaos expansion publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 122 start-page: 193 year: 2018 end-page: 207 ident: b10 article-title: Nondeterministic optimization of tapered sandwich column for crashworthiness publication-title: Thin-Walled Struct. – year: 2021 ident: b24 article-title: A feasible identification method of uncertainty responses for vehicle structures publication-title: Struct. Multidiscip. Optim. – volume: 167 year: 2021 ident: b2 article-title: Injury biomechanics-based nondeterministic optimization of front-end structures for safety in pedestrian–vehicle impact publication-title: Thin-Walled Struct. – year: 2006 ident: b56 article-title: Opposition-based differential evolution algorithms publication-title: 2006 IEEE International Conference on Evolutionary Computation – volume: 86 start-page: 1242 year: 2018 end-page: 1250 ident: b32 article-title: Data-driven accurate design of variable blank holder force in sheet forming under interval uncertainty using sequential approximate multi-objective optimization publication-title: Future Gener. Comput. Syst. – volume: 188 start-page: 1 year: 2008 end-page: 13 ident: b53 article-title: A nonlinear interval number programming method for uncertain optimization problems publication-title: European J. Oper. Res. – volume: 23 start-page: 9793 year: 2019 end-page: 9799 ident: b15 article-title: A new rule to combine dependent bodies of evidence publication-title: Soft Comput. – volume: 127 start-page: 28 year: 2000 end-page: 43 ident: b49 article-title: On comparing interval numbers publication-title: European J. Oper. Res. – volume: 2 start-page: 39 year: 2012 end-page: 52 ident: b64 article-title: A multi-objective artificial bee colony algorithm publication-title: Swarm Evol. Comput. – volume: 194 start-page: 36 year: 2018 end-page: 48 ident: b66 article-title: Crashworthiness design of novel hierarchical hexagonal columns publication-title: Compos. Struct. – volume: 137 start-page: 1 year: 2019 end-page: 18 ident: b37 article-title: A crushing analysis and multi-objective optimization of thin-walled five-cell structures publication-title: Thin-Walled Struct. – year: 2005 ident: b52 article-title: An optimization algorithm for imprecise multi-objective problem functions publication-title: 2005 IEEE Congress on Evolutionary Computation – volume: 39 start-page: 1853 year: 2015 end-page: 1866 ident: b8 article-title: An efficient reliability method combining adaptive importance sampling and kriging metamodel publication-title: Appl. Math. Model. – volume: 78 start-page: 627 year: 2020 end-page: 647 ident: b28 article-title: Robust topology optimization for multi-material structures under interval uncertainty publication-title: Appl. Math. Model. – volume: 134 start-page: 268 year: 2005 end-page: 287 ident: b55 article-title: An efficient algorithm for constructing optimal design of computer experiments publication-title: J. Statist. Plann. Inference – volume: 167 year: 2021 ident: b4 article-title: Nondeterministic multi-objective and multi-case discrete optimization of functionally-graded front-bumper structures for pedestrian protection publication-title: Thin-Walled Struct. – volume: 43 start-page: 6574 year: 2006 end-page: 6593 ident: b25 article-title: Exact bounds for the static response set of structures with uncertain-but-bounded parameters publication-title: Int. J. Solids Struct. – volume: 8 start-page: 173 year: 2000 end-page: 195 ident: b60 article-title: Comparison of multiobjective evolutionary algorithms: Empirical results publication-title: Evol. Comput. – volume: 94 start-page: 325 year: 2015 end-page: 333 ident: b23 article-title: Non-probabilistic reliability-based design optimization of stiffened shells under buckling constraint publication-title: Thin-Walled Struct. – volume: 162 year: 2021 ident: b6 article-title: Hybrid multi-objective robust design optimization of a truck cab considering fatigue life publication-title: Thin-Walled Struct. – volume: 161–162 year: 2019 ident: b67 article-title: Crushing behaviors of hierarchical sandwich-walled columns publication-title: Int. J. Mech. Sci. – volume: 29 start-page: 1111 year: 2021 end-page: 1118 ident: b17 article-title: Reliability-based design optimization for the lattice boom of crawler crane publication-title: Structures – volume: 87 start-page: 79 year: 2017 end-page: 89 ident: b41 article-title: Optimal reactive power dispatch problem using a two-archive multi-objective grey wolf optimizer publication-title: Expert Syst. Appl. – volume: 3 start-page: 257 year: 1999 end-page: 271 ident: b61 article-title: Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach publication-title: IEEE Trans. Evol. Comput. – volume: 119 start-page: 68 year: 2013 end-page: 84 ident: b31 article-title: Interval multi-objective optimisation of structures using adaptive kriging approximations publication-title: Comput. Struct. – volume: 75 start-page: 728 year: 2019 end-page: 749 ident: b42 article-title: A multi-objective cellular grey wolf optimizer for hybrid flowshop scheduling problem considering noise pollution publication-title: Appl. Soft Comput. – volume: 38 start-page: 3124 year: 2014 end-page: 3135 ident: b13 article-title: Interval optimization based line sampling method for fuzzy and random reliability analysis publication-title: Appl. Math. Model. – volume: 67 start-page: 120 year: 2014 end-page: 132 ident: b9 article-title: Crashworthiness design of foam-filled bitubal structures with uncertainty publication-title: Int. J. Non-Linear Mech. – volume: 47 start-page: 1637 year: 2015 end-page: 1650 ident: b33 article-title: A new interval optimization method considering tolerance design publication-title: Eng. Optim. – volume: 131 start-page: 286 year: 2018 end-page: 296 ident: b47 article-title: Multi-response optimization design of tailor-welded blank (TWB) thin-walled structures using Taguchi-based gray relational analysis publication-title: Thin-Walled Struct. – volume: 2 start-page: 221 year: 1994 end-page: 248 ident: b50 article-title: Muiltiobjective optimization using nondominated sorting in genetic algorithms publication-title: Evol. Comput. – volume: 6 start-page: 182 year: 2002 end-page: 197 ident: b51 article-title: A fast and elitist multiobjective genetic algorithm: NSGA-II publication-title: IEEE Trans. Evol. Comput. – reference: C.A.C. Coello and M.S. Lechuga (Eds.), MOPSO: a proposal for multiple objective particle swarm optimization, in: Proceedings of the 2002 Congress on Evolutionary Computation CEC’02 (Cat No02TH8600); 2002 12-17 2002. – volume: 131 start-page: 77 year: 2019 end-page: 89 ident: b20 article-title: An inverse method for distributed dynamic load identification of structures with interval uncertainties publication-title: Adv. Eng. Softw. – volume: 47 start-page: 573 year: 2017 end-page: 586 ident: b11 article-title: Novel reliability-based optimization method for thermal structure with hybrid random, interval and fuzzy parameters publication-title: Appl. Math. Model. – volume: 38 start-page: 695 year: 2022 end-page: 713 ident: b65 article-title: Multiobjective meta-heuristic with iterative parameter distribution estimation for aeroelastic design of an aircraft wing publication-title: Eng. Comput. – volume: 69 start-page: 441 year: 2019 end-page: 452 ident: b30 article-title: Interval differential evolution with dimension-reduction interval analysis method for uncertain optimization problems publication-title: Appl. Math. Model. – volume: 95 start-page: 115 year: 2015 end-page: 126 ident: b48 article-title: On design of multi-cell tubes under axial and oblique impact loads publication-title: Thin-Walled Struct. – volume: 29 start-page: 310 year: 2015 end-page: 327 ident: b59 article-title: A novel hybrid gravitational search and pattern search algorithm for load frequency control of nonlinear power system publication-title: Appl. Soft Comput. – volume: 351 start-page: 281 year: 2019 end-page: 296 ident: b16 article-title: Evidence-theory-based uncertain parameter identification method for mechanical systems with imprecise information publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 135 start-page: 1 year: 2015 end-page: 8 ident: b3 article-title: Multiobjective robust design optimization of fatigue life for a truck cab publication-title: Reliab. Eng. Syst. Saf. – volume: 17 year: 2020 ident: b35 article-title: Hull form optimization based on an NM+CFD integrated method for KCS publication-title: Int. J. Comput. Methods – volume: 108 year: 2021 ident: b29 article-title: An efficient nonlinear interval uncertain optimization method using Legendre polynomial chaos expansion publication-title: Appl. Soft Comput. – year: 2016 ident: b43 article-title: Multi-objective modified grey wolf optimizer for optimal power flow publication-title: 2016 Eighteenth International Middle East Power Systems Conference (MEPCON) – year: 2005 ident: b57 article-title: Opposition-based learning: a new scheme for machine intelligence publication-title: Proceedings 2006 International Conference on Intelligence for Modelling, Control and Automation Jointly with International Conference on Intelligent Agents, Web Technologies and Internet Commerce, 28-30 2005 – volume: 86 start-page: 572 year: 2019 end-page: 581 ident: b21 article-title: An iterative dimension-by-dimension method for structural interval response prediction with multidimensional uncertain variables publication-title: Aerosp. Sci. Technol. – volume: 69 start-page: 46 year: 2014 end-page: 61 ident: b54 article-title: Grey wolf optimizer publication-title: Adv. Eng. Softw. – year: 2015 ident: b63 article-title: Multi-objective PSO in MATLAB – volume: 64 start-page: 1241 year: 2021 end-page: 1258 ident: b27 article-title: A subinterval dimension-wise method for robust topology optimization of structures with truss-like lattice material under unknown but bounded uncertainties publication-title: Struct. Multidiscip. Optim. – volume: 86 start-page: 215 year: 2004 end-page: 225 ident: b14 article-title: An approximation approach for uncertainty quantification using evidence theory publication-title: Reliab. Eng. Syst. Saf. – volume: 167 year: 2021 ident: 10.1016/j.tws.2022.109218_b45 article-title: Implementation of a novel six sigma multi-objective robustness optimization method based on the improved response surface model for bumper system design publication-title: Thin-Walled Struct. doi: 10.1016/j.tws.2021.108257 – volume: 94 start-page: 325 year: 2015 ident: 10.1016/j.tws.2022.109218_b23 article-title: Non-probabilistic reliability-based design optimization of stiffened shells under buckling constraint publication-title: Thin-Walled Struct. doi: 10.1016/j.tws.2015.04.031 – volume: 108 year: 2021 ident: 10.1016/j.tws.2022.109218_b29 article-title: An efficient nonlinear interval uncertain optimization method using Legendre polynomial chaos expansion publication-title: Appl. Soft Comput. doi: 10.1016/j.asoc.2021.107454 – volume: 15 start-page: 774 issue: 10 year: 2014 ident: 10.1016/j.tws.2022.109218_b34 article-title: Interval multiobjective optimization of structures based on radial basis function, interval analysis, and NSGA-II publication-title: J. Zhejiang Univ. Sci. A doi: 10.1631/jzus.A1300311 – volume: 8 start-page: 173 issue: 2 year: 2000 ident: 10.1016/j.tws.2022.109218_b60 article-title: Comparison of multiobjective evolutionary algorithms: Empirical results publication-title: Evol. Comput. doi: 10.1162/106365600568202 – volume: 86 start-page: 1242 year: 2018 ident: 10.1016/j.tws.2022.109218_b32 article-title: Data-driven accurate design of variable blank holder force in sheet forming under interval uncertainty using sequential approximate multi-objective optimization publication-title: Future Gener. Comput. Syst. doi: 10.1016/j.future.2017.02.048 – volume: 120 start-page: 357 year: 2019 ident: 10.1016/j.tws.2022.109218_b39 article-title: Multi-objective grey wolf optimizer based on decomposition publication-title: Expert Syst. Appl. doi: 10.1016/j.eswa.2018.12.003 – volume: 64 start-page: 1241 issue: 3 year: 2021 ident: 10.1016/j.tws.2022.109218_b27 article-title: A subinterval dimension-wise method for robust topology optimization of structures with truss-like lattice material under unknown but bounded uncertainties publication-title: Struct. Multidiscip. Optim. doi: 10.1007/s00158-021-02911-5 – volume: 47 start-page: 1637 issue: 12 year: 2015 ident: 10.1016/j.tws.2022.109218_b33 article-title: A new interval optimization method considering tolerance design publication-title: Eng. Optim. doi: 10.1080/0305215X.2014.982632 – volume: 351 start-page: 281 year: 2019 ident: 10.1016/j.tws.2022.109218_b16 article-title: Evidence-theory-based uncertain parameter identification method for mechanical systems with imprecise information publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2019.03.048 – volume: 75 start-page: 728 year: 2019 ident: 10.1016/j.tws.2022.109218_b42 article-title: A multi-objective cellular grey wolf optimizer for hybrid flowshop scheduling problem considering noise pollution publication-title: Appl. Soft Comput. doi: 10.1016/j.asoc.2018.11.043 – volume: 341 start-page: 640 year: 2018 ident: 10.1016/j.tws.2022.109218_b18 article-title: Evidence theory-based reliability optimization design using polynomial chaos expansion publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2018.07.015 – volume: 237 year: 2022 ident: 10.1016/j.tws.2022.109218_b22 article-title: Artificial neural network (ANN) - Bayesian probability framework (BPF) based method of dynamic force reconstruction under multi-source uncertainties publication-title: Knowl.-Based Syst. doi: 10.1016/j.knosys.2021.107796 – ident: 10.1016/j.tws.2022.109218_b36 – volume: 161 year: 2021 ident: 10.1016/j.tws.2022.109218_b5 article-title: On lower confidence bound improvement matrix-based approaches for multiobjective Bayesian optimization and its applications to thin-walled structures publication-title: Thin-Walled Struct. doi: 10.1016/j.tws.2020.107248 – volume: 86 start-page: 572 year: 2019 ident: 10.1016/j.tws.2022.109218_b21 article-title: An iterative dimension-by-dimension method for structural interval response prediction with multidimensional uncertain variables publication-title: Aerosp. Sci. Technol. doi: 10.1016/j.ast.2019.01.032 – volume: 7 start-page: 34 issue: 1 year: 1998 ident: 10.1016/j.tws.2022.109218_b62 article-title: Pareto simulated annealing—a metaheuristic technique for multiple-objective combinatorial optimization publication-title: J. Multi-Criteria Decis. Anal. doi: 10.1002/(SICI)1099-1360(199801)7:1<34::AID-MCDA161>3.0.CO;2-6 – volume: 55 start-page: 1091 issue: 3 year: 2017 ident: 10.1016/j.tws.2022.109218_b7 article-title: On design optimization for structural crashworthiness and its state of the art publication-title: Struct. Multidiscip. Optim. doi: 10.1007/s00158-016-1579-y – volume: 23 start-page: 9793 issue: 20 year: 2019 ident: 10.1016/j.tws.2022.109218_b15 article-title: A new rule to combine dependent bodies of evidence publication-title: Soft Comput. doi: 10.1007/s00500-019-03804-y – volume: 78 start-page: 627 year: 2020 ident: 10.1016/j.tws.2022.109218_b28 article-title: Robust topology optimization for multi-material structures under interval uncertainty publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2019.10.019 – volume: 127 start-page: 28 issue: 1 year: 2000 ident: 10.1016/j.tws.2022.109218_b49 article-title: On comparing interval numbers publication-title: European J. Oper. Res. doi: 10.1016/S0377-2217(99)00319-7 – volume: 122 start-page: 4922 issue: 18 year: 2021 ident: 10.1016/j.tws.2022.109218_b26 article-title: A Newton iteration-based interval analysis method for nonlinear structural systems with uncertain-but-bounded parameters publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.6751 – volume: 2 start-page: 221 issue: 3 year: 1994 ident: 10.1016/j.tws.2022.109218_b50 article-title: Muiltiobjective optimization using nondominated sorting in genetic algorithms publication-title: Evol. Comput. doi: 10.1162/evco.1994.2.3.221 – volume: 3 start-page: 257 issue: 4 year: 1999 ident: 10.1016/j.tws.2022.109218_b61 article-title: Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/4235.797969 – volume: 134 start-page: 268 issue: 1 year: 2005 ident: 10.1016/j.tws.2022.109218_b55 article-title: An efficient algorithm for constructing optimal design of computer experiments publication-title: J. Statist. Plann. Inference doi: 10.1016/j.jspi.2004.02.014 – year: 2016 ident: 10.1016/j.tws.2022.109218_b43 article-title: Multi-objective modified grey wolf optimizer for optimal power flow – volume: 95 start-page: 115 year: 2015 ident: 10.1016/j.tws.2022.109218_b48 article-title: On design of multi-cell tubes under axial and oblique impact loads publication-title: Thin-Walled Struct. doi: 10.1016/j.tws.2015.07.002 – volume: 14 start-page: 567 issue: 2 year: 2003 ident: 10.1016/j.tws.2022.109218_b44 article-title: On the local convergence of pattern search publication-title: SIAM J. Optim. doi: 10.1137/S1052623400374495 – year: 2015 ident: 10.1016/j.tws.2022.109218_b63 – year: 2021 ident: 10.1016/j.tws.2022.109218_b24 article-title: A feasible identification method of uncertainty responses for vehicle structures publication-title: Struct. Multidiscip. Optim. doi: 10.1007/s00158-021-03065-0 – year: 2005 ident: 10.1016/j.tws.2022.109218_b57 article-title: Opposition-based learning: a new scheme for machine intelligence – volume: 47 start-page: 573 year: 2017 ident: 10.1016/j.tws.2022.109218_b11 article-title: Novel reliability-based optimization method for thermal structure with hybrid random, interval and fuzzy parameters publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2017.03.053 – volume: 137 start-page: 1 year: 2019 ident: 10.1016/j.tws.2022.109218_b37 article-title: A crushing analysis and multi-objective optimization of thin-walled five-cell structures publication-title: Thin-Walled Struct. doi: 10.1016/j.tws.2018.12.033 – volume: 86 start-page: 215 issue: 3 year: 2004 ident: 10.1016/j.tws.2022.109218_b14 article-title: An approximation approach for uncertainty quantification using evidence theory publication-title: Reliab. Eng. Syst. Saf. doi: 10.1016/j.ress.2004.01.011 – volume: 87 year: 2020 ident: 10.1016/j.tws.2022.109218_b40 article-title: An enhanced multi-objective grey wolf optimizer for service composition in cloud manufacturing publication-title: Appl. Soft Comput. doi: 10.1016/j.asoc.2019.106003 – volume: 188 start-page: 1 issue: 1 year: 2008 ident: 10.1016/j.tws.2022.109218_b53 article-title: A nonlinear interval number programming method for uncertain optimization problems publication-title: European J. Oper. Res. doi: 10.1016/j.ejor.2007.03.031 – volume: 161 year: 2021 ident: 10.1016/j.tws.2022.109218_b38 article-title: Application of tailor rolled blanks in optimum design of pure electric vehicle crashworthiness and lightweight publication-title: Thin-Walled Struct. doi: 10.1016/j.tws.2020.107410 – volume: 6 start-page: 182 issue: 2 year: 2002 ident: 10.1016/j.tws.2022.109218_b51 article-title: A fast and elitist multiobjective genetic algorithm: NSGA-II publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/4235.996017 – volume: 29 start-page: 310 year: 2015 ident: 10.1016/j.tws.2022.109218_b59 article-title: A novel hybrid gravitational search and pattern search algorithm for load frequency control of nonlinear power system publication-title: Appl. Soft Comput. doi: 10.1016/j.asoc.2015.01.020 – year: 2006 ident: 10.1016/j.tws.2022.109218_b56 article-title: Opposition-based differential evolution algorithms – volume: 38 start-page: 3124 issue: 13 year: 2014 ident: 10.1016/j.tws.2022.109218_b13 article-title: Interval optimization based line sampling method for fuzzy and random reliability analysis publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2013.11.027 – volume: 43 start-page: 6574 issue: 21 year: 2006 ident: 10.1016/j.tws.2022.109218_b25 article-title: Exact bounds for the static response set of structures with uncertain-but-bounded parameters publication-title: Int. J. Solids Struct. doi: 10.1016/j.ijsolstr.2006.01.012 – volume: 119 start-page: 68 year: 2013 ident: 10.1016/j.tws.2022.109218_b31 article-title: Interval multi-objective optimisation of structures using adaptive kriging approximations publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2012.12.028 – volume: 94 start-page: 500 year: 2015 ident: 10.1016/j.tws.2022.109218_b1 article-title: Reliability design optimization of vehicle front-end structure for pedestrian lower extremity protection under multiple impact cases publication-title: Thin-Walled Struct. doi: 10.1016/j.tws.2015.05.014 – volume: 167 year: 2021 ident: 10.1016/j.tws.2022.109218_b4 article-title: Nondeterministic multi-objective and multi-case discrete optimization of functionally-graded front-bumper structures for pedestrian protection publication-title: Thin-Walled Struct. doi: 10.1016/j.tws.2020.106921 – volume: 131 start-page: 77 year: 2019 ident: 10.1016/j.tws.2022.109218_b20 article-title: An inverse method for distributed dynamic load identification of structures with interval uncertainties publication-title: Adv. Eng. Softw. doi: 10.1016/j.advengsoft.2019.02.003 – year: 2005 ident: 10.1016/j.tws.2022.109218_b52 article-title: An optimization algorithm for imprecise multi-objective problem functions – volume: 69 start-page: 441 year: 2019 ident: 10.1016/j.tws.2022.109218_b30 article-title: Interval differential evolution with dimension-reduction interval analysis method for uncertain optimization problems publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2018.12.025 – volume: 47 start-page: 106 year: 2016 ident: 10.1016/j.tws.2022.109218_b58 article-title: Multi-objective grey wolf optimizer: A novel algorithm for multi-criterion optimization publication-title: Expert Syst. Appl. doi: 10.1016/j.eswa.2015.10.039 – volume: 167 year: 2021 ident: 10.1016/j.tws.2022.109218_b2 article-title: Injury biomechanics-based nondeterministic optimization of front-end structures for safety in pedestrian–vehicle impact publication-title: Thin-Walled Struct. doi: 10.1016/j.tws.2021.108087 – volume: 2 start-page: 39 year: 2012 ident: 10.1016/j.tws.2022.109218_b64 article-title: A multi-objective artificial bee colony algorithm publication-title: Swarm Evol. Comput. doi: 10.1016/j.swevo.2011.08.001 – volume: 135 start-page: 1 year: 2015 ident: 10.1016/j.tws.2022.109218_b3 article-title: Multiobjective robust design optimization of fatigue life for a truck cab publication-title: Reliab. Eng. Syst. Saf. doi: 10.1016/j.ress.2014.10.007 – volume: 29 start-page: 1111 year: 2021 ident: 10.1016/j.tws.2022.109218_b17 article-title: Reliability-based design optimization for the lattice boom of crawler crane publication-title: Structures doi: 10.1016/j.istruc.2020.12.024 – volume: 194 start-page: 36 year: 2018 ident: 10.1016/j.tws.2022.109218_b66 article-title: Crashworthiness design of novel hierarchical hexagonal columns publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2018.03.099 – volume: 40 start-page: 4412 issue: 7 year: 2016 ident: 10.1016/j.tws.2022.109218_b12 article-title: Fuzzy uncertainty propagation in composites using Gram–Schmidt polynomial chaos expansion publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2015.11.038 – volume: 161–162 year: 2019 ident: 10.1016/j.tws.2022.109218_b67 article-title: Crushing behaviors of hierarchical sandwich-walled columns publication-title: Int. J. Mech. Sci. – volume: 69 start-page: 46 year: 2014 ident: 10.1016/j.tws.2022.109218_b54 article-title: Grey wolf optimizer publication-title: Adv. Eng. Softw. doi: 10.1016/j.advengsoft.2013.12.007 – volume: 33 start-page: 1454 issue: 5 year: 2020 ident: 10.1016/j.tws.2022.109218_b19 article-title: Multi-disciplinary design optimization with fuzzy uncertainties and its application in hybrid rocket motor powered launch vehicle publication-title: Chin. J. Aeronaut. doi: 10.1016/j.cja.2019.11.002 – volume: 109 start-page: 132 year: 2016 ident: 10.1016/j.tws.2022.109218_b46 article-title: Sensitivity analysis and reliability based design optimization for high-strength steel tailor welded thin-walled structures under crashworthiness publication-title: Thin-Walled Struct. doi: 10.1016/j.tws.2016.09.003 – volume: 67 start-page: 120 year: 2014 ident: 10.1016/j.tws.2022.109218_b9 article-title: Crashworthiness design of foam-filled bitubal structures with uncertainty publication-title: Int. J. Non-Linear Mech. doi: 10.1016/j.ijnonlinmec.2014.08.005 – volume: 162 year: 2021 ident: 10.1016/j.tws.2022.109218_b6 article-title: Hybrid multi-objective robust design optimization of a truck cab considering fatigue life publication-title: Thin-Walled Struct. doi: 10.1016/j.tws.2021.107545 – volume: 131 start-page: 286 year: 2018 ident: 10.1016/j.tws.2022.109218_b47 article-title: Multi-response optimization design of tailor-welded blank (TWB) thin-walled structures using Taguchi-based gray relational analysis publication-title: Thin-Walled Struct. doi: 10.1016/j.tws.2018.07.007 – volume: 39 start-page: 1853 issue: 7 year: 2015 ident: 10.1016/j.tws.2022.109218_b8 article-title: An efficient reliability method combining adaptive importance sampling and kriging metamodel publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2014.10.015 – volume: 38 start-page: 695 issue: 1 year: 2022 ident: 10.1016/j.tws.2022.109218_b65 article-title: Multiobjective meta-heuristic with iterative parameter distribution estimation for aeroelastic design of an aircraft wing publication-title: Eng. Comput. doi: 10.1007/s00366-020-01077-w – volume: 17 issue: 10 year: 2020 ident: 10.1016/j.tws.2022.109218_b35 article-title: Hull form optimization based on an NM+CFD integrated method for KCS publication-title: Int. J. Comput. Methods doi: 10.1142/S0219876220500085 – volume: 122 start-page: 193 year: 2018 ident: 10.1016/j.tws.2022.109218_b10 article-title: Nondeterministic optimization of tapered sandwich column for crashworthiness publication-title: Thin-Walled Struct. doi: 10.1016/j.tws.2017.09.028 – volume: 87 start-page: 79 year: 2017 ident: 10.1016/j.tws.2022.109218_b41 article-title: Optimal reactive power dispatch problem using a two-archive multi-objective grey wolf optimizer publication-title: Expert Syst. Appl. doi: 10.1016/j.eswa.2017.06.009 |
| SSID | ssj0017194 |
| Score | 2.4108212 |
| Snippet | Thin-walled structures have been widely used in vehicle components due to their lightweight characteristics. To design structural parameters that are more in... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 109218 |
| SubjectTerms | Design optimization Multi-objective optimization Thin-walled structures Uncertainty Vehicle structures |
| Title | Multi-objective design optimization using hybrid search algorithms with interval uncertainty for thin-walled structures |
| URI | https://dx.doi.org/10.1016/j.tws.2022.109218 |
| Volume | 175 |
| WOSCitedRecordID | wos000792947100005&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1879-3223 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0017194 issn: 0263-8231 databaseCode: AIEXJ dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3Nb9MwFLdKx4Ed0PjSxpd84ETkKbWTOD5O02AgNHEYUsQlchx3TdUlU5eu5c4fzovtpGmhiB24RNGT40T-_fTei_0-EHqnTENbGpEsj3wSgMkggvuaUJ2NcwkmLlOxaTbBLy7iJBFfB4OfbS7M3YyXZbxaiZv_CjXIAOwmdfYecHeTggDuAXS4Auxw_SfgTUotqbKpVWVebmI0vAp0w7VLuvQWZodg8qNJ1_LcxoecXVXzop5cu4S3wkRDAoJg-WzcgAvurCdFSZZND5bcs-VnF3MXiThtubdzBGCbLBpcE-Dl1aboo6xWfelpmzlSyKUuWumXwgz-PtH9HQv42e0iq5xioxEjzfHjhhbmYU-PjnxBrV7-TcXb3Ybpcb1sqq1Terweu1lOe8vMdcGHbVzbNIUp0maK1E7xAO1RHop4iPZOPp0ln7vTKD4yDTW7725Px02c4NZ3_Nm_6fkslwfosfvZwCeWJE_QQJdP0X6vBOUztNyiC7Z0wX26YEMXbOmCLV3wmi64oQtu6YJ7dMFAF9yjC16T4Tn69uHs8vScuGYcRFHBa5JzWAWuo5FkoQQL6dOMs4BxScHp57kfaZFJBf64FIoqGoRa0jHLBdNZnOtMsRdoWFalPkR4pJg_pgo8Y-GDbxTG4EVKmeWBGEdCsuAI-e0SpspVqm8apszSndAdoffdIze2TMvfBgctLqnzM63_mALHdj_28j7veIUeran_Gg1hefUb9FDd1cXt_K0j2C9zo6PK |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Multi-objective+design+optimization+using+hybrid+search+algorithms+with+interval+uncertainty+for+thin-walled+structures&rft.jtitle=Thin-walled+structures&rft.au=Xu%2C+Xiang&rft.au=Xu%2C+Gaoxiang&rft.au=Chen%2C+Jiawei&rft.au=Liu%2C+Zhe&rft.date=2022-06-01&rft.issn=0263-8231&rft.volume=175&rft.spage=109218&rft_id=info:doi/10.1016%2Fj.tws.2022.109218&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_tws_2022_109218 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0263-8231&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0263-8231&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0263-8231&client=summon |