메뉴 건너뛰기




Volumn 49, Issue 6, 2014, Pages 897-913

Robust optimization of foam-filled thin-walled structure based on sequential Kriging metamodel

Author keywords

Crashworthiness; Foam filled; Kriging model; Robust optimization; Sequential sampling; Uncertainty and stochastic

Indexed keywords

COMPUTER SIMULATION; CRASHWORTHINESS; DESIGN; INTERPOLATION; MONTE CARLO METHODS; QUADRATIC PROGRAMMING; STOCHASTIC MODELS; STOCHASTIC SYSTEMS; THIN WALLED STRUCTURES;

EID: 84901691982     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-013-1017-3     Document Type: Article
Times cited : (97)

References (63)
  • 2
    • 70349627285 scopus 로고    scopus 로고
    • System reliability based vehicle design for crashworthiness and effects of various uncertainty reduction measures
    • 10.1007/s00158-008-0327-3
    • Acar E, Solanki K (2009) System reliability based vehicle design for crashworthiness and effects of various uncertainty reduction measures. Struct Multidiscip Optim 39(3):311-325
    • (2009) Struct Multidiscip Optim , vol.39 , Issue.3 , pp. 311-325
    • Acar, E.1    Solanki, K.2
  • 3
    • 58149496321 scopus 로고    scopus 로고
    • Dynamic computer simulation and energy absorption of foam-filled conical tubes under axial impact loading
    • 10.1016/j.compstruc.2008.10.003
    • Ahmad Z, Thambiratnam DP (2009) Dynamic computer simulation and energy absorption of foam-filled conical tubes under axial impact loading. Comput Struct 87(3-4):186-197
    • (2009) Comput Struct , vol.87 , Issue.3-4 , pp. 186-197
    • Ahmad, Z.1    Thambiratnam, D.P.2
  • 4
    • 30044441882 scopus 로고    scopus 로고
    • Quasi-static axial crushing of extruded polystyrene foam-filled thin-walled aluminum tubes: Experimental and numerical analysis
    • DOI 10.1016/j.matdes.2004.12.019, PII S0261306905000063
    • Aktay L, Toksoy AK, Guden M (2006) Quasi-static axial crushing of extruded polystyrene foam-filled thin-walled aluminum tubes: experimental and numerical analysis. Mater Des 27(7):556-565 (Pubitemid 43045837)
    • (2006) Materials and Design , vol.27 , Issue.7 , pp. 556-565
    • Aktay, L.1    Toksoy, A.K.2    Guden, M.3
  • 5
    • 33746400084 scopus 로고    scopus 로고
    • Understanding the effects of model uncertainty in robust design with computer experiments
    • DOI 10.1115/1.2204974
    • Apley DW, Liu J, Chen W (2006) Understanding the effects of model uncertainty in robust design with computer experiments. ASME J Mech Des 128(4):945-958 (Pubitemid 44123184)
    • (2006) Journal of Mechanical Design, Transactions of the ASME , vol.128 , Issue.4 , pp. 945-958
    • Apley, D.W.1    Liu, J.2    Chen, W.3
  • 7
    • 78650530719 scopus 로고    scopus 로고
    • Design for six sigma through collaborative multiobjective optimization
    • 10.1016/j.cie.2010.09.015
    • Baril C, Yacout S, Clement B (2011) Design for six sigma through collaborative multiobjective optimization. Comput Ind Eng 60(1):43-55
    • (2011) Comput Ind Eng , vol.60 , Issue.1 , pp. 43-55
    • Baril, C.1    Yacout, S.2    Clement, B.3
  • 9
    • 79957865725 scopus 로고    scopus 로고
    • Modeling and optimization of foam-filled thin-walled columns for crashworthiness designs
    • 10.1016/j.finel.2010.03.008
    • Bi J, Fang HB, Wang QA, Ren XC (2010) Modeling and optimization of foam-filled thin-walled columns for crashworthiness designs. Finite Elem Anal Des 46(9):698-709
    • (2010) Finite Elem Anal des , vol.46 , Issue.9 , pp. 698-709
    • Bi, J.1    Fang, H.B.2    Wang, Q.A.3    Ren, X.C.4
  • 10
    • 44649149897 scopus 로고
    • Sequential quadratic programming
    • 10.1017/S0962492900002518 1352470
    • Boggs PT, Tolle JW (1995) Sequential quadratic programming. Acta Numerica 4(1):1-51
    • (1995) Acta Numerica , vol.4 , Issue.1 , pp. 1-51
    • Boggs, P.T.1    Tolle, J.W.2
  • 12
    • 84862698266 scopus 로고    scopus 로고
    • Reliability-based design optimization with dependent interval variables
    • 10.1002/nme.4275 1246.74039
    • Du XP (2012) Reliability-based design optimization with dependent interval variables. Int J Numer Method Eng 91(2):218-228
    • (2012) Int J Numer Method Eng , vol.91 , Issue.2 , pp. 218-228
    • Du, X.P.1
  • 13
    • 79960896600 scopus 로고    scopus 로고
    • Experimental and numerical crashworthiness investigation of empty and foam-filled end-capped conical tubes
    • Ghamarian A, Zarei HR, Abadi MT (2011) Experimental and numerical crashworthiness investigation of empty and foam-filled end-capped conical tubes. Thin-Walled Struct 49(10):312-1319
    • (2011) Thin-Walled Struct , vol.49 , Issue.10 , pp. 312-1319
    • Ghamarian, A.1    Zarei, H.R.2    Abadi, M.T.3
  • 15
    • 0033898027 scopus 로고    scopus 로고
    • Static and dynamic crushing of square aluminum extrusions with aluminum foam filler
    • DOI 10.1016/S0734-743X(99)00169-4
    • Hanssen AG, Langseth M, Hopperstad OS (2000) Static and dynamic crushing of square aluminium extrutions with aluminium foam filler. Int J Impact Eng 24(4):347-383 (Pubitemid 30555610)
    • (2000) International Journal of Impact Engineering , vol.24 , Issue.4 , pp. 347-383
    • Hanssen, A.G.1    Langseth, M.2    Hopperstad, O.S.3
  • 16
    • 0035217251 scopus 로고    scopus 로고
    • Optimum design for energy absorption of square aluminum columns with aluminum foam filler
    • DOI 10.1016/S0020-7403(99)00108-3
    • Hanssen AG, Langseth M, Hopperstad OS (2001) Optimum design for energy absorption of square aluminium columns with aluminium foam filler. Int J Mech Sci 43(1):153-176 (Pubitemid 33375912)
    • (2001) International Journal of Mechanical Sciences , vol.43 , Issue.1 , pp. 153-176
    • Hanssen, A.G.1    Langseth, M.2    Hopperstad, O.S.3
  • 18
    • 63049132450 scopus 로고    scopus 로고
    • Crashworthiness design for foam filled thin-wall structures
    • 10.1016/j.matdes.2008.08.044
    • Hou SJ, Li Q, Long SY, Yang XJ, Li W (2009) Crashworthiness design for foam filled thin-wall structures. Mater Des 30:2024-2032
    • (2009) Mater des , vol.30 , pp. 2024-2032
    • Hou, S.J.1    Li, Q.2    Long, S.Y.3    Yang, X.J.4    Li, W.5
  • 20
    • 77952954183 scopus 로고    scopus 로고
    • Reliability-based structural optimization with probability and convex set hybrid models
    • 10.1007/s00158-009-0461-6 3038930
    • Kang Z, Luo YJ (2010) Reliability-based structural optimization with probability and convex set hybrid models. Struct Multidiscip Optim 42(1):89-102
    • (2010) Struct Multidiscip Optim , vol.42 , Issue.1 , pp. 89-102
    • Kang, Z.1    Luo, Y.J.2
  • 21
    • 84855422595 scopus 로고    scopus 로고
    • Crushing and crashing of tubes with implicit time integration
    • 10.1016/j.ijimpeng.2011.10.003
    • Kazanci Z, Bathe KJ (2012) Crushing and crashing of tubes with implicit time integration. Int J Impact Eng 42:80-88
    • (2012) Int J Impact Eng , vol.42 , pp. 80-88
    • Kazanci, Z.1    Bathe, K.J.2
  • 22
    • 1542502881 scopus 로고    scopus 로고
    • Design for six sigma through robust optimization
    • 10.1007/s00158-003-0337-0
    • Koch PN, Yang RJ, Gu L (2004) Design for six sigma through robust optimization. Struct Multidiscip Optim 26(3-4):235-248
    • (2004) Struct Multidiscip Optim , vol.26 , Issue.3-4 , pp. 235-248
    • Koch, P.N.1    Yang, R.J.2    Gu, L.3
  • 23
    • 0032632420 scopus 로고    scopus 로고
    • Statistical analyses of scatter plots to identify important factors in large-scale simulations: Review and comparison of techniques
    • 10.1016/S0951-8320(98)00091-X
    • Kleijnen JPC, Helton JC (1999) Statistical analyses of scatter plots to identify important factors in large-scale simulations: review and comparison of techniques. Reliab Eng Syst Saf 65(2):147-185
    • (1999) Reliab Eng Syst Saf , vol.65 , Issue.2 , pp. 147-185
    • Kleijnen, J.P.C.1    Helton, J.C.2
  • 24
    • 0030264287 scopus 로고    scopus 로고
    • Static and dynamic axial crushing of square thin-walled aluminium extrusions
    • PII S0734743X96000255
    • Langseth M, Hopperstad OS (1996) Static and dynamic axial crushing of square thin-walled aluminium extrusions. Int J Impact Eng 18(7-8):949-968 (Pubitemid 126371759)
    • (1996) International Journal of Impact Engineering , vol.18 , Issue.7-8 , pp. 949-968
    • Langseth, M.1    Hopperstad, O.S.2
  • 25
    • 33748305549 scopus 로고    scopus 로고
    • A robust optimization using the statistics based on kriging metamodel
    • 10.1007/BF02916016
    • Lee KH, Kang DH (2006) A robust optimization using the statistics based on kriging metamodel. J Mech Sci Technol 20(8):1169-1182
    • (2006) J Mech Sci Technol , vol.20 , Issue.8 , pp. 1169-1182
    • Lee, K.H.1    Kang, D.H.2
  • 27
    • 79951993003 scopus 로고    scopus 로고
    • Multi-disciplinary optimization for multi-objective uncertainty design of thin walled beams
    • 1204.68100
    • Li FY, Li GY, Sun GY, Luo Z, Zhang Z (2010) Multi-disciplinary optimization for multi-objective uncertainty design of thin walled beams. CMC-Comput Mat Contin 19(1):37-56
    • (2010) CMC-Comput Mat Contin , vol.19 , Issue.1 , pp. 37-56
    • Li, F.Y.1    Li, G.Y.2    Sun, G.Y.3    Luo, Z.4    Zhang, Z.5
  • 28
    • 79961057144 scopus 로고    scopus 로고
    • Reliability-based multiobjective design optimization under interval uncertainty
    • 1231.90337
    • Li FY, Zhen Luo, Sun GY (2011) Reliability-based multiobjective design optimization under interval uncertainty. CMES-Comp Model Eng Sci 74(1):39-64
    • (2011) CMES-Comp Model Eng Sci , vol.74 , Issue.1 , pp. 39-64
    • Li, F.Y.1    Zhen, L.2    Sun, G.Y.3
  • 29
    • 79957532374 scopus 로고    scopus 로고
    • Experimental and finite element robustness studies of a bumper system subjected to an offset impact loading
    • 10.1080/13588265.2010.539339
    • Lonn D, Bergman G, Nilsson L, Simonsson K (2011) Experimental and finite element robustness studies of a bumper system subjected to an offset impact loading. Int J Crashworthiness 16(2):155-168
    • (2011) Int J Crashworthiness , vol.16 , Issue.2 , pp. 155-168
    • Lonn, D.1    Bergman, G.2    Nilsson, L.3    Simonsson, K.4
  • 30
    • 43849096130 scopus 로고    scopus 로고
    • Parametric study and numerical analysis of empty and foam-filled thin-walled tubes under static and dynamic loadings
    • 10.1016/j.ijmecsci.2008.02.007
    • Mirfendereski L, Salimi M, Ziaei-Rad S (2008) Parametric study and numerical analysis of empty and foam-filled thin-walled tubes under static and dynamic loadings. Int J Mech Sci 50(6):1042-1057
    • (2008) Int J Mech Sci , vol.50 , Issue.6 , pp. 1042-1057
    • Mirfendereski, L.1    Salimi, M.2    Ziaei-Rad, S.3
  • 33
    • 77956411497 scopus 로고    scopus 로고
    • Comparative analysis of energy absorption and deformations of thin walled tubes with various section geometries
    • 10.1016/j.tws.2010.07.003
    • Nia AA, Hamedani JH (2010) Comparative analysis of energy absorption and deformations of thin walled tubes with various section geometries. Thin-Walled Struct 48(12):946-954
    • (2010) Thin-Walled Struct , vol.48 , Issue.12 , pp. 946-954
    • Nia, A.A.1    Hamedani, J.H.2
  • 34
    • 33750544984 scopus 로고    scopus 로고
    • An experimental investigation on the behaviour of self-piercing riveted connections in aluminium alloy AA6060
    • 10.1533/ijcr.2005.0108
    • Porcaro R, Hanssen AG, Langseth M, Aalberg A (2005) An experimental investigation on the behaviour of self-piercing riveted connections in aluminium alloy AA6060. Int J Crashworthiness 11(5):397-417
    • (2005) Int J Crashworthiness , vol.11 , Issue.5 , pp. 397-417
    • Porcaro, R.1    Hanssen, A.G.2    Langseth, M.3    Aalberg, A.4
  • 35
    • 84877675818 scopus 로고    scopus 로고
    • Microscale direct calculation of solid phase conductivity of voronoi's foams
    • 10.1615/JPorMedia.v16.i5.30
    • Randrianalisoa J, Coquard R, Baillis D (2013) Microscale direct calculation of solid phase conductivity of voronoi's foams. J Porous Media 16(5):411-426
    • (2013) J Porous Media , vol.16 , Issue.5 , pp. 411-426
    • Randrianalisoa, J.1    Coquard, R.2    Baillis, D.3
  • 36
    • 0022613829 scopus 로고
    • Static and dynamic axial crushing of foam-filled sheet metal tubes
    • DOI 10.1016/0020-7403(86)90043-3
    • Reid SR, Reddy TY, Gray MD (1986) Static and dynamic axial crushing of foam-filled sheet-metal tubes. Int J Mech Sci 28(5):295-322 (Pubitemid 16633488)
    • (1986) International Journal of Mechanical Sciences , vol.28 , Issue.5 , pp. 295-322
    • Reid, S.R.1    Reddy, T.Y.2    Gray, M.D.3
  • 37
    • 0742298518 scopus 로고    scopus 로고
    • Constitutive modeling of aluminum foam including fracture and statistical variation of density
    • 10.1016/j.euromechsol.2003.08.001 1032.74546
    • Reyes A, Hopperstad OS, Berstad T, Hanssen AG, Langseth M (2003) Constitutive modeling of aluminum foam including fracture and statistical variation of density. Eur J Mech A-Solid 22(6):815-835
    • (2003) Eur J Mech A-Solid , vol.22 , Issue.6 , pp. 815-835
    • Reyes, A.1    Hopperstad, O.S.2    Berstad, T.3    Hanssen, A.G.4    Langseth, M.5
  • 38
    • 0742305085 scopus 로고    scopus 로고
    • Aluminum foam-filled extrusions Subjected to oblique loading: Experimental and numerical study
    • DOI 10.1016/j.ijsolstr.2003.09.053
    • Reyes A, Hopperstad OS, Langseth M (2004) Aluminum foam-filled extrusions subjected to oblique loading: experimental and numerical study. Int J Solids Struct 41(5):1645-75 (Pubitemid 38149670)
    • (2004) International Journal of Solids and Structures , vol.41 , Issue.5-6 , pp. 1645-1675
    • Reyes, A.1    Hopperstad, O.S.2    Langseth, M.3
  • 39
    • 24944494383 scopus 로고    scopus 로고
    • Numerical simulation of the axial collapse of thin-walled polygonal section tubes
    • DOI 10.1016/j.tws.2005.03.001, PII S0263823105000467
    • Rossi A, Fawaz Z, Behdinan K (2005) Numerical simulation of the axial collapse of thin-walled polygonal section tubes. Thin-Walled Struct 43(10):1646-1661 (Pubitemid 41329893)
    • (2005) Thin-Walled Structures , vol.43 , Issue.10 , pp. 1646-1661
    • Rossi, A.1    Fawaz, Z.2    Behdinan, K.3
  • 40
    • 84972517827 scopus 로고
    • Design and analysis of computer experiments
    • 10.1214/ss/1177012413 0955.62619 1041765
    • Sacks J, Welch WJ, Mitchell TJ, Wynn HP (1989) Design and analysis of computer experiments. Stat Sci 4(4):409-423
    • (1989) Stat Sci , vol.4 , Issue.4 , pp. 409-423
    • Sacks, J.1    Welch, W.J.2    Mitchell, T.J.3    Wynn, H.P.4
  • 42
    • 39149105988 scopus 로고    scopus 로고
    • Robust design considering highly nonlinear structural behavior
    • 10.1007/s00158-007-0193-4
    • Schumacher A, Olschinka C (2008) Robust design considering highly nonlinear structural behavior. Struct Multidiscip Optim 35(3):263-272
    • (2008) Struct Multidiscip Optim , vol.35 , Issue.3 , pp. 263-272
    • Schumacher, A.1    Olschinka, C.2
  • 44
    • 27844449957 scopus 로고    scopus 로고
    • Axial crushing of metal foam-filled square columns: Foam density distribution and impactor inclination effects
    • DOI 10.1016/j.tws.2005.09.002, PII S0263823105001369
    • Shahbeyk S, Vafai A, Petrinic N (2005) Axial crushing of metal foam-filled square columns: Foam density distribution and impactor inclination effects. Thin-Walled Struct 43(12):1818-1830 (Pubitemid 41660002)
    • (2005) Thin-Walled Structures , vol.43 , Issue.12 , pp. 1818-1830
    • Shahbeyk, S.1    Vafai, A.2    Petrinic, N.3
  • 45
    • 77955600258 scopus 로고    scopus 로고
    • Optimization of foam filled spot-welded column for the crashworthiness design
    • Shariati M, Allahbakhsh HR, Saemi J, Sedighi M (2010) Optimization of foam filled spot-welded column for the crashworthiness design. Mechanika 3:10-16
    • (2010) Mechanika , vol.3 , pp. 10-16
    • Shariati, M.1    Allahbakhsh, H.R.2    Saemi, J.3    Sedighi, M.4
  • 46
    • 0000312771 scopus 로고    scopus 로고
    • Sampling strategies for computer experiments: Design and analysis
    • Simpson TW, Lin DK, Chen W (2001) Sampling strategies for computer experiments: design and analysis. Int J Reliab Appl 2(3):209-240
    • (2001) Int J Reliab Appl , vol.2 , Issue.3 , pp. 209-240
    • Simpson, T.W.1    Lin, D.K.2    Chen, W.3
  • 47
    • 0030269304 scopus 로고    scopus 로고
    • Further experimental investigation on the eccentricity factor in the progressive crushing of tubes
    • DOI 10.1016/0020-7683(95)00195-6
    • Singace AA, Elsobky H (1996) Further experimental investigation on the eccentricity factor in the progressive crushing of tubes. Int J Solids Struct 33(24):3517-3538 (Pubitemid 126384637)
    • (1996) International Journal of Solids and Structures , vol.33 , Issue.24 , pp. 3517-3538
    • Singace, A.A.1    Elsobky, H.2
  • 48
    • 84873719372 scopus 로고    scopus 로고
    • Crashworthiness optimization of foam-filled tapered thin-walled structure using multiple surrogate models
    • 10.1007/s00158-012-0820-6 1274.74293 3038916
    • Song XG, Sun GY, Li GY, Gao WZ, Li Q (2013) Crashworthiness optimization of foam-filled tapered thin-walled structure using multiple surrogate models. Struct Multidiscip Optim 47(2):221-231
    • (2013) Struct Multidiscip Optim , vol.47 , Issue.2 , pp. 221-231
    • Song, X.G.1    Sun, G.Y.2    Li, G.Y.3    Gao, W.Z.4    Li, Q.5
  • 49
    • 75849160503 scopus 로고    scopus 로고
    • Crashworthiness design for functionally graded foam-filled thin-walled structures
    • 10.1016/j.msea.2009.11.022
    • Sun GY, Li GY, Hou SJ, Zhou SW, Li W, Li Q (2010a) Crashworthiness design for functionally graded foam-filled thin-walled structures. Mater Sci Eng A-Struct 527(7-8):1911-1919
    • (2010) Mater Sci Eng A-Struct , vol.527 , Issue.7-8 , pp. 1911-1919
    • Sun, G.Y.1    Li, G.Y.2    Hou, S.J.3    Zhou, S.W.4    Li, W.5    Li, Q.6
  • 50
    • 77955468939 scopus 로고    scopus 로고
    • A Two-Stage Multi-fidelity Optimization Procedure for Honeycomb-Type Cellular Materials
    • 10.1016/j.commatsci.2010.05.041
    • Sun GY, Li GY, Stone M, Li Q (2010b) A Two-Stage Multi-fidelity Optimization Procedure for Honeycomb-Type Cellular Materials. Comput Mater Sci 49:500-511
    • (2010) Comput Mater Sci , vol.49 , pp. 500-511
    • Sun, G.Y.1    Li, G.Y.2    Stone, M.3    Li, Q.4
  • 51
    • 79958136883 scopus 로고    scopus 로고
    • Crashworthiness design of vehicle by using multiobjective robust optimization
    • 10.1007/s00158-010-0601-z
    • Sun GY, Li GY, Zhou SW, Li HZ, Hou SJ, Li Q (2011) Crashworthiness design of vehicle by using multiobjective robust optimization. Struct Multidiscip Optim 44(1):99-110
    • (2011) Struct Multidiscip Optim , vol.44 , Issue.1 , pp. 99-110
    • Sun, G.Y.1    Li, G.Y.2    Zhou, S.W.3    Li, H.Z.4    Hou, S.J.5    Li, Q.6
  • 52
    • 84886460230 scopus 로고    scopus 로고
    • The mechanical properties and modeling of a sintered hollow sphere steel foam
    • Arwadeb SR doi: 10.1016/j.matdes.2013.08.045
    • Szyniszewskia ST, Smithb BH, Hajjarc JF, Schaferd BW (2013) The mechanical properties and modeling of a sintered hollow sphere steel foam. Materi Des, Arwadeb SR. doi: 10.1016/j.matdes.2013.08.045
    • (2013) Materi des
    • Szyniszewskia, S.T.1    Smithb, B.H.2    Hajjarc, J.F.3    Schaferd, B.W.4
  • 53
    • 79953166102 scopus 로고    scopus 로고
    • The optimization of the energy absorption of partially Al foam-filled commercial 1050H14 and 6061T4 Al crash boxes
    • 10.1080/13588265.2010.514774
    • Toksoy AK, Guden M (2011) The optimization of the energy absorption of partially Al foam-filled commercial 1050H14 and 6061T4 Al crash boxes. Int J Crashworthiness 16(1):97-109
    • (2011) Int J Crashworthiness , vol.16 , Issue.1 , pp. 97-109
    • Toksoy, A.K.1    Guden, M.2
  • 54
    • 0015648917 scopus 로고
    • Structural optimization by methods of feasible directions
    • 10.1016/0045-7949(73)90055-2
    • Vanderplaats GN, Moses F (1973) Structural optimization by methods of feasible directions. Comput Struct 3(4):739-755
    • (1973) Comput Struct , vol.3 , Issue.4 , pp. 739-755
    • Vanderplaats, G.N.1    Moses, F.2
  • 55
    • 0020936798 scopus 로고
    • On the crushing mechanics of thin-walled structures
    • 10.1115/1.3167137 0528.73045
    • Wierzbicki T, Abramowicz W (1983) On the crushing mechanics of thin-walled structures. ASME J Appl Mech 50(4A):727-734
    • (1983) ASME J Appl Mech , vol.50 , Issue.4 , pp. 727-734
    • Wierzbicki, T.1    Abramowicz, W.2
  • 56
    • 84871733439 scopus 로고    scopus 로고
    • Multiobjective optimization for empty and foam-filled square columns under oblique impact loading
    • 10.1016/j.ijimpeng.2012.11.009
    • Yang S, Qi C (2013) Multiobjective optimization for empty and foam-filled square columns under oblique impact loading. Int J Impact Eng 54:177-191
    • (2013) Int J Impact Eng , vol.54 , pp. 177-191
    • Yang, S.1    Qi, C.2
  • 58
    • 21144434719 scopus 로고    scopus 로고
    • Experience with approximate reliability-based optimization methods II: An exhaust system problem
    • DOI 10.1007/s00158-004-0494-9
    • Yang RJ, Chuang C, Gu L, Li G (2005) Experience with approximate reliability-based optimization method II: an exhaust system problem. Struct Multidiscip Optim 29(6):488-497 (Pubitemid 40878862)
    • (2005) Structural and Multidisciplinary Optimization , vol.29 , Issue.6 , pp. 488-497
    • Yang, R.J.1    Chuang, C.2    Gu, L.3    Li, G.4
  • 59
    • 38749106248 scopus 로고    scopus 로고
    • Optimization of the foam-filled aluminum tubes for crush box application
    • DOI 10.1016/j.tws.2007.07.016, PII S0263823107002285
    • Zarei HR, Kroger M (2008) Optimization of the foam-filled aluminum tubes for crush box application. Thin-Walled Struct 46(2):214-221 (Pubitemid 351178882)
    • (2008) Thin-Walled Structures , vol.46 , Issue.2 , pp. 214-221
    • Zarei, H.R.1    Kroger, M.2
  • 60
    • 34249936374 scopus 로고    scopus 로고
    • A comparative study of energy absorption characteristics of foam-filled and multi-cell square columns
    • DOI 10.1016/j.ijimpeng.2006.10.007, PII S0734743X06002235
    • Zhang X, Cheng GD (2007) A comparative study of energy absorption characteristics of foam-filled and multi-cell square columns. Int J Impact Eng 34(11):1739-1752 (Pubitemid 46880108)
    • (2007) International Journal of Impact Engineering , vol.34 , Issue.11 , pp. 1739-1752
    • Zhang, X.1    Cheng, G.2
  • 61
    • 69349098274 scopus 로고    scopus 로고
    • Energy absorption of longitudinally grooved square tubes under axial compression
    • 10.1016/j.tws.2009.07.003
    • Zhang X, Hun H (2009) Energy absorption of longitudinally grooved square tubes under axial compression. Thin-Walled Struct 47(12):1469-1477
    • (2009) Thin-Walled Struct , vol.47 , Issue.12 , pp. 1469-1477
    • Zhang, X.1    Hun, H.2
  • 62
    • 84862816028 scopus 로고    scopus 로고
    • Optimization of foam-filled bitubal structures for crashworthiness criteria
    • 10.1016/j.matdes.2012.01.028
    • Zhang Y, Sun GY, Li GY, Luo Z, Li Q (2012) Optimization of foam-filled bitubal structures for crashworthiness criteria. Mater Des 38:99-109
    • (2012) Mater des , vol.38 , pp. 99-109
    • Zhang, Y.1    Sun, G.Y.2    Li, G.Y.3    Luo, Z.4    Li, Q.5
  • 63
    • 70350351259 scopus 로고    scopus 로고
    • Metamodel-based lightweight design of an automotive front-body structure using robust optimization
    • 10.1243/09544070JAUTO1045
    • Zhu P, Zhang Y, Chen GL (2009) Metamodel-based lightweight design of an automotive front-body structure using robust optimization. Proc Inst Mech Eng Part D-J Automob Eng 223(D9):1133-1147
    • (2009) Proc Inst Mech Eng Part D-J Automob Eng , vol.223 , Issue.D9 , pp. 1133-1147
    • Zhu, P.1    Zhang, Y.2    Chen, G.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.