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Volumn 47, Issue 2, 2009, Pages 119-166

An efficient response surface based optimisation method for non-deterministic harmonic and transient dynamic analysis

Author keywords

Black box optimisation; Fuzzy set; Interval; Multiple outputs; Response surface

Indexed keywords

BENCHMARK MODELS; BLACK BOXES; DESIGN STAGE; DESIGN TOLERANCES; DETERMINISTIC ANALYSIS; DETERMINISTIC SIMULATION; KRIGING; MULTIPLE OUTPUTS; NON-PROBABILISTIC; NUMERICAL MODELS; OPTIMISATION METHOD; OPTIMISATIONS; PHYSICAL PHENOMENA; PRECISE SIMULATION; RESPONSE SURFACE; TRANSIENT DYNAMIC ANALYSIS;

EID: 76449093091     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (30)

References (68)
  • 3
    • 2442423466 scopus 로고    scopus 로고
    • Fuzzy reliability analysis of concrete structures
    • Biondini, F.; Bontempi, F.; Malerba, P. (2004): Fuzzy reliability analysis of concrete structures. Computers & Structures, vol.82, no.13-14, pp. 1033-1052.
    • (2004) Computers & Structures , vol.82 , Issue.13-14 , pp. 1033-1052
    • Biondini, F.1    Bontempi, F.2    Malerba, P.3
  • 4
    • 10644290438 scopus 로고
    • Design parameter update of dynamic mathematical models in the presence of test noise and mode pairing problems
    • ESA SP-321, Noordwijk, The Netherlands
    • Caesar, B.; Eckert, L.; Hoppe, A. (1995): Design Parameter Update of Dynamic Mathematical Models in the Presence of Test Noise and Mode Pairing Problems. In Proceedings of the International Conference on Spacecraft Structures and Mechanical Testing, ESA SP-321, pp. 491-499, Noordwijk, The Netherlands.
    • (1995) Proceedings of the International Conference on Spacecraft Structures and Mechanical Testing , pp. 491-499
    • Caesar, B.1    Eckert, L.2    Hoppe, A.3
  • 5
    • 2442463572 scopus 로고    scopus 로고
    • Genetic anti-optimization for reliability structural assessment of precast concrete structures
    • Catallo, L. (2004): Genetic anti-optimization for reliability structural assessment of precast concrete structures. Computers & Structures, vol.82, no.13-14, pp. 1053-1065.
    • (2004) Computers & Structures , vol.82 , Issue.13-14 , pp. 1053-1065
    • Catallo, L.1
  • 6
    • 0031235958 scopus 로고    scopus 로고
    • Fuzzy finite element approach for the vibration analysis of imprecisely-defined systems
    • Chen, L.; Rao, S. (1997): Fuzzy finite element approach for the vibration analysis of imprecisely-defined systems. Finite Elements in Analysis and Design, vol.27, pp. 69-83.
    • (1997) Finite Elements in Analysis and Design , vol.27 , pp. 69-83
    • Chen, L.1    Rao, S.2
  • 7
    • 0002539249 scopus 로고
    • Constructing membership functions using statistical data
    • Civanalar, M.; Trussell, H. (1986): Constructing membership functions using statistical data. Fuzzy Sets and Systems, vol.18, pp. 1-13.
    • (1986) Fuzzy Sets and Systems , vol.18 , pp. 1-13
    • Civanalar, M.1    Trussell, H.2
  • 8
    • 25444433880 scopus 로고    scopus 로고
    • A fuzzy finite element procedure for the calculation of uncertain frequency response functions of damped structures: Part 2 - Numerical case studies
    • DOI 10.1016/j.jsv.2005.07.002, PII S0022460X05004475, Uncertainty in Structural Dynamics
    • De Gersem, H.; Moens, D.; Desmet, W.; Vandepitte, D. (2005): A fuzzy finite element procedure for the calculation of uncertain frequency response functions of damped structures: Part II - numerical case studies. Journal of Sound and Vibration, vol.288, no.3, pp. 463-486. (Pubitemid 41360481)
    • (2005) Journal of Sound and Vibration , vol.288 , Issue.3 , pp. 463-486
    • De Gersem, H.1    Moens, D.2    Desmet, W.3    Vandepitte, D.4
  • 9
    • 41549132972 scopus 로고    scopus 로고
    • A response surface based optimisation algorithm for the calculation of fuzzy envelope FRFs of models with uncertain properties
    • De Munck, M.; Moens, D.; Desmet, W.; Vandepitte, D. (2008): A response surface based optimisation algorithm for the calculation of fuzzy envelope FRFs of models with uncertain properties. Computers and Structures, vol.86, no.10, pp. 1080-1092.
    • (2008) Computers and Structures , vol.86 , Issue.10 , pp. 1080-1092
    • De Munck, M.1    Moens, D.2    Desmet, W.3    Vandepitte, D.4
  • 11
    • 13344252247 scopus 로고    scopus 로고
    • Assessment of uncertainty on structural dynamic responses with the short transformation method
    • Donders, S.; Vandepitte, D.; Van de Peer, J.; Desmet, W. (2005): Assessment of uncertainty on structural dynamic responses with the short transformation method. Journal of Sound and Vibration, vol.288, no.3, pp. 523-549.
    • (2005) Journal of Sound and Vibration , vol.288 , Issue.3 , pp. 523-549
    • Donders, S.1    Vandepitte, D.2    Van De Peer, J.3    Desmet, W.4
  • 12
    • 0023435695 scopus 로고
    • Vertex method for computing functions of fuzzy variables
    • Dong, W.; Shah, H. (1987): Vertex method for computing functions of fuzzy variables. Fuzzy Sets and Systems, vol.24, pp. 65-78.
    • (1987) Fuzzy Sets and Systems , vol.24 , pp. 65-78
    • Dong, W.1    Shah, H.2
  • 15
    • 0032023748 scopus 로고    scopus 로고
    • Three versions of the finite element method based on concepts of either stochasticity , fuzziness or anti-optimisation
    • Elishakoff, I. (1998): Three versions of the finite element method based on concepts of either stochasticity , fuzziness or anti-optimisation. ASME Applied Mechanics Reviews, vol.51, no.3, pp. 209-218.
    • (1998) ASME Applied Mechanics Reviews , vol.51 , Issue.3 , pp. 209-218
    • Elishakoff, I.1
  • 16
    • 0006412902 scopus 로고    scopus 로고
    • Possible limitations of probabilistic methods in engineering
    • Elishakoff, I. (2000): Possible limitations of probabilistic methods in engineering. ASME Applied Mechanics Reviews, vol.53, no.2, pp. 19-36.
    • (2000) ASME Applied Mechanics Reviews , vol.53 , Issue.2 , pp. 19-36
    • Elishakoff, I.1
  • 17
    • 0037590014 scopus 로고    scopus 로고
    • Contrasting probabilistic and antioptimization approaches in an applied mechanics problem
    • Elishakoff, I.; Zingales, M. (2003): Contrasting probabilistic and antioptimization approaches in an applied mechanics problem. International Journal of Solids and Structures, vol.40, no.16, pp. 4281-4297.
    • (2003) International Journal of Solids and Structures , vol.40 , Issue.16 , pp. 4281-4297
    • Elishakoff, I.1    Zingales, M.2
  • 18
    • 76249127466 scopus 로고    scopus 로고
    • Probabilistic interval response and reliability analysis of structures with a mixture of random and interval properties
    • Gao, W.; Song, C.; Tin-Loi, F. (2009): Probabilistic interval response and reliability analysis of structures with a mixture of random and interval properties. CMES: Computer Modeling in Engineering & Sciences, vol.46, no.2, pp. 151-189.
    • (2009) CMES: Computer Modeling in Engineering & Sciences , vol.46 , Issue.2 , pp. 151-189
    • Gao, W.1    Song, C.2    Tin-Loi, F.3
  • 20
    • 0037119860 scopus 로고    scopus 로고
    • The transformation method for the simulation and analysis of systems with uncertain parameters
    • Hanss, M. (2002): The transformation method for the simulation and analysis of systems with uncertain parameters. Fuzzy Sets and Systems, vol.130, no.3, pp. 277-289.
    • (2002) Fuzzy Sets and Systems , vol.130 , Issue.3 , pp. 277-289
    • Hanss, M.1
  • 21
    • 0742321203 scopus 로고    scopus 로고
    • The extended transformation method for the simulation and analysis of fuzzy-parameterized models
    • Hanss, M. (2003): The extended transformation method for the simulation and analysis of fuzzy-parameterized models. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, vol.11, no.6, pp. 711-727.
    • (2003) International Journal of Uncertainty, Fuzziness and Knowledge-based Systems , vol.11 , Issue.6 , pp. 711-727
    • Hanss, M.1
  • 22
    • 0028131950 scopus 로고
    • Propagation of uncertainty in risk assessments: The need to distinguish between uncertainty due to lack of knowledge and uncertainty due to variability
    • Hoffman, F.; Hammonds, J. (1994): Propagation of uncertainty in risk assessments: The need to distinguish between uncertainty due to lack of knowledge and uncertainty due to variability. Risk Analysis, vol.14, no.5, pp. 707-712.
    • (1994) Risk Analysis , vol.14 , Issue.5 , pp. 707-712
    • Hoffman, F.1    Hammonds, J.2
  • 23
    • 0000951235 scopus 로고    scopus 로고
    • Global optimization by multilevel coordinate search
    • Huyer, W.; Neumaier, A. (1999): Global optimization by multilevel coordinate search. Journal of Global Optimization, vol.14, pp. 331-355.
    • (1999) Journal of Global Optimization , vol.14 , pp. 331-355
    • Huyer, W.1    Neumaier, A.2
  • 24
    • 36448949442 scopus 로고    scopus 로고
    • A new uncertain optimization method based on intervals and an approximation management model
    • Jiang, C.; Han, X. (2007): A new uncertain optimization method based on intervals and an approximation management model. CMES: Computer Modeling in Engineering & Sciences, vol.22, no.2, pp. 97-118.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.22 , Issue.2 , pp. 97-118
    • Jiang, C.1    Han, X.2
  • 25
    • 0000561424 scopus 로고    scopus 로고
    • Efficient global optimization of expensive black-box functions
    • Jones, D.; Schonlau, M.; Welch, W. (1998): Efficient global optimization of expensive black-box functions. Journal of Global Optimization, vol.13, pp. 455-492.
    • (1998) Journal of Global Optimization , vol.13 , pp. 455-492
    • Jones, D.1    Schonlau, M.2    Welch, W.3
  • 26
    • 0032041562 scopus 로고    scopus 로고
    • A comparison of stochastic and interval finite elements applied to shear frames with uncertain stiffness properties
    • Köylüoǧlu, U.; Elishakoff, I. (1998): A comparison of stochastic and interval finite elements applied to shear frames with uncertain stiffness properties. Computers & Structures, vol.67, pp. 91-98.
    • (1998) Computers & Structures , vol.67 , pp. 91-98
    • Köylüoǧlu, U.1    Elishakoff, I.2
  • 27
    • 0032264112 scopus 로고    scopus 로고
    • Analysis of linear mechanical structures with uncertainties by means of interval methods
    • Kulpa, Z.; Pownuk, A.; Skalna, I. (1998): Analysis of linear mechanical structures with uncertainties by means of interval methods. Computer Assisted Mechanics and Engineering Sciences, vol.5, no.4, pp. 443-477.
    • (1998) Computer Assisted Mechanics and Engineering Sciences , vol.5 , Issue.4 , pp. 443-477
    • Kulpa, Z.1    Pownuk, A.2    Skalna, I.3
  • 28
    • 16244421172 scopus 로고    scopus 로고
    • Aspects of the matlab toolbox DACE
    • Technical University of Denmark (DTU), Informatics and Mathematical Modelling (IMM), 2002a
    • Lophaven, S.; Nielsen, H.; Sondergaard, J. (2002): Aspects of the Matlab Toolbox DACE. Technical Report IMM-REP-2002-2013, Technical University of Denmark (DTU), Informatics and Mathematical Modelling (IMM), 2002a.
    • (2002) Technical Report IMM-REP-2002-2013
    • Lophaven, S.1    Nielsen, H.2    Sondergaard, J.3
  • 29
    • 10444244236 scopus 로고    scopus 로고
    • DACE: A matlab kriging toolbox
    • Technical University of Denmark (DTU), Informatics and Mathematical Modelling (IMM), 2002b
    • Lophaven, S.; Nielsen, H.; Sondergaard, J. (2002): DACE: A Matlab Kriging Toolbox. Technical Report IMM-TR-2002-2012, Technical University of Denmark (DTU), Informatics and Mathematical Modelling (IMM), 2002b.
    • (2002) Technical Report IMM-TR-2002-2012
    • Lophaven, S.1    Nielsen, H.2    Sondergaard, J.3
  • 30
    • 34250191000 scopus 로고    scopus 로고
    • Adaptive random field mesh refinements in stochastic finite element reliability analysis of structures
    • Manjuprasad, M.; Manohar, C. (2007): Adaptive random field mesh refinements in stochastic finite element reliability analysis of structures. CMES: Computer Modeling in Engineering & Sciences, vol.19, no.1, pp. 23-54.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.19 , Issue.1 , pp. 23-54
    • Manjuprasad, M.1    Manohar, C.2
  • 31
    • 25444499498 scopus 로고    scopus 로고
    • Calculating frequency response functions for uncertain systems using complex affine analysis
    • Manson, G. (2005): Calculating frequency response functions for uncertain systems using complex affine analysis. Journal of Sound and Vibration, vol.288, no.3, pp. 487-521.
    • (2005) Journal of Sound and Vibration , vol.288 , Issue.3 , pp. 487-521
    • Manson, G.1
  • 32
    • 17444414416 scopus 로고    scopus 로고
    • Use of Kriging models to approximate deterministic computer models
    • Martin, J.; Simpson, T. (2005): Use of Kriging models to approximate deterministic computer models. AIAA Journal, vol.43, no.4, pp. 853-863.
    • (2005) AIAA Journal , vol.43 , Issue.4 , pp. 853-863
    • Martin, J.1    Simpson, T.2
  • 34
  • 35
    • 84865486245 scopus 로고
    • Principles of geostatistics
    • Matheron, G. (1963): Principles of geostatistics. Economic Geology, vol.58, no.8, pp. 1246-1266.
    • (1963) Economic Geology , vol.58 , Issue.8 , pp. 1246-1266
    • Matheron, G.1
  • 36
    • 0003417965 scopus 로고    scopus 로고
    • The Mathworks
    • The Mathworks. Optimization Toolbox 4 User's Guide, 2008. http://www.mathworks.com/access/helpdesk/help/pdf-doc/optim/optim-tb.pdf.
    • (2008) Optimization Toolbox 4 User's Guide
  • 37
    • 0035255129 scopus 로고    scopus 로고
    • Anti-optimisation of uncertain structures using interval analysis
    • McWilliam, S. (2001): Anti-optimisation of uncertain structures using interval analysis. Computers & Structures, vol.79, no.4, pp. 421-430.
    • (2001) Computers & Structures , vol.79 , Issue.4 , pp. 421-430
    • McWilliam, S.1
  • 41
    • 36448958361 scopus 로고    scopus 로고
    • Envelope frequency response function analysis of mechanical structures with uncertain modal damping characteristics
    • Moens, D.; De Munck, M.; Vandepitte, D. (2007): Envelope frequency response function analysis of mechanical structures with uncertain modal damping characteristics. CMES: Computer Modeling in Engineering & Sciences, vol.22, no.2, pp. 129-149. (Pubitemid 350163707)
    • (2007) CMES - Computer Modeling in Engineering and Sciences , vol.22 , Issue.2 , pp. 129-149
    • Moens, D.1    De Munck, M.2    Vandepitte, D.3
  • 42
    • 13844318857 scopus 로고    scopus 로고
    • A survey of non-probabilistic uncertainty treatment in finite element analysis
    • Moens, D.; Vandepitte, D. (2005): A survey of non-probabilistic uncertainty treatment in finite element analysis. Computer Methods in Applied Mechanics and Engineering, vol.194, no.14-16, pp. 1527-1555.
    • (2005) Computer Methods in Applied Mechanics and Engineering , vol.194 , Issue.14-16 , pp. 1527-1555
    • Moens, D.1    Vandepitte, D.2
  • 43
    • 37849188689 scopus 로고    scopus 로고
    • Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis
    • Moens, D.; Vandepitte, D. (2006): Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis. Archives of Computational Methods in Engineering, vol.13, no.3, pp. 389-464.
    • (2006) Archives of Computational Methods in Engineering , vol.13 , Issue.3 , pp. 389-464
    • Moens, D.1    Vandepitte, D.2
  • 44
    • 17344387190 scopus 로고    scopus 로고
    • Fuzzy structural analysis using a-level optimization
    • Möller, B.; Graf, W.; Beer, M. (2000): Fuzzy structural analysis using a-level optimization. Computational Mechanics, vol.26, pp. 547-565.
    • (2000) Computational Mechanics , vol.26 , pp. 547-565
    • Möller, B.1    Graf, W.2    Beer, M.3
  • 45
    • 0004293209 scopus 로고
    • Prentice Hall, Englewood Cliffs, New Jersey, USA
    • Moore, R. (1966): Interval Analysis. Prentice Hall, Englewood Cliffs, New Jersey, USA.
    • (1966) Interval Analysis
    • Moore, R.1
  • 46
    • 0035371106 scopus 로고    scopus 로고
    • Uncertainty in mechanics problems - intervalbased approach
    • Muhanna, R.; Mullen, R. (2001): Uncertainty in mechanics problems - intervalbased approach. Journal of Engineering Mechanics, vol.127, no.6, pp. 557-566.
    • (2001) Journal of Engineering Mechanics , vol.127 , Issue.6 , pp. 557-566
    • Muhanna, R.1    Mullen, R.2
  • 49
    • 49749086194 scopus 로고    scopus 로고
    • Applications of meta-models in finite element based reliability analysis of engineering structures
    • Panda, S.; Manohar, C. (2008): Applications of meta-models in finite element based reliability analysis of engineering structures. CMES: Computer Modeling in Engineering & Sciences, vol.28, no.3, pp. 161-184.
    • (2008) CMES: Computer Modeling in Engineering & Sciences , vol.28 , Issue.3 , pp. 161-184
    • Panda, S.1    Manohar, C.2
  • 51
    • 0000448462 scopus 로고    scopus 로고
    • Analysis of uncertain structural systems using interval analysis
    • Rao, S.; Berke, L. (1997): Analysis of uncertain structural systems using interval analysis. AIAA Journal, vol.34, no.4, pp. 727-735.
    • (1997) AIAA Journal , vol.34 , Issue.4 , pp. 727-735
    • Rao, S.1    Berke, L.2
  • 53
    • 85002661091 scopus 로고
    • Fuzzy finite element approach for the analysis of imprecisely defined systems
    • Rao, S.; Sawyer, P. (1995): Fuzzy finite element approach for the analysis of imprecisely defined systems. AIAA Journal, vol.33, no.12, pp. 2364-2370.
    • (1995) AIAA Journal , vol.33 , Issue.12 , pp. 2364-2370
    • Rao, S.1    Sawyer, P.2
  • 55
    • 84972517827 scopus 로고
    • Design and analysis of computer experiments
    • Sacks, J.; Welch, W.; Mitchell, T.; Wynn, H. (1989): Design and analysis of computer experiments. Statistical Science, vol.4, no.4, pp. 409-435.
    • (1989) Statistical Science , vol.4 , Issue.4 , pp. 409-435
    • Sacks, J.1    Welch, W.2    Mitchell, T.3    Wynn, H.4
  • 57
    • 0035441628 scopus 로고    scopus 로고
    • Computational stochastic mechanics - recent advances
    • Schuëller, G. (2001): Computational stochastic mechanics - recent advances. Computers & Structures, vol.79, no.22-25, pp. 2225-2234.
    • (2001) Computers & Structures , vol.79 , Issue.22-25 , pp. 2225-2234
    • Schuëller, G.1
  • 58
    • 4644289660 scopus 로고    scopus 로고
    • A critical appraisal of reliability estimation procedures for high dimensions
    • Schuëller, G.; Pradlwarter, H.; Koutsourelakis, P. (2004): A critical appraisal of reliability estimation procedures for high dimensions. Probabilistic Engineering Mechanics, vol.19, no.4, pp. 463-474.
    • (2004) Probabilistic Engineering Mechanics , vol.19 , Issue.4 , pp. 463-474
    • Schuëller, G.1    Pradlwarter, H.2    Koutsourelakis, P.3
  • 61
    • 34248550430 scopus 로고    scopus 로고
    • Solving systems of linear fuzzy equations by parametric functions: An improved algorithm
    • Vroman, A.; Deschrijver, G.; Kerre, E. (2007): Solving systems of linear fuzzy equations by parametric functions: an improved algorithm. Fuzzy Sets and Systems, vol.158, no.3, pp. 1515-1534.
    • (2007) Fuzzy Sets and Systems , vol.158 , Issue.3 , pp. 1515-1534
    • Vroman, A.1    Deschrijver, G.2    Kerre, E.3
  • 64
    • 0034315564 scopus 로고    scopus 로고
    • Multibody dynamic simulation of the next generation space telescope using finite elements and fuzzy sets
    • DOI 10.1016/S0045-7825(99)00445-4
    • Wasfy, T.; Noor, A. (2000): Multibody dynamic simulation of the next generation space telescope using finite elements and fuzzy sets. Computer Methods in Applied Mechanics and Engineering, vol.190, pp. 803-824. (Pubitemid 32030574)
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.190 , Issue.5-7 , pp. 803-824
    • Wasfy, T.M.1    Noor, A.K.2
  • 66
    • 34248666540 scopus 로고
    • Fuzzy sets
    • Zadeh, L. (1965): Fuzzy sets. Information and Control, vol.8, no.3, pp. 338-353.
    • (1965) Information and Control , vol.8 , Issue.3 , pp. 338-353
    • Zadeh, L.1
  • 67
    • 49349133217 scopus 로고
    • Fuzzy sets as a basis for a theory of possibility
    • Zadeh, L. (1978): Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems, vol.1, pp. 3-28.
    • (1978) Fuzzy Sets and Systems , vol.1 , pp. 3-28
    • Zadeh, L.1
  • 68
    • 13344267310 scopus 로고    scopus 로고
    • Anti-optimization versus probability in an applied mechanics problem: Vector uncertainty
    • Zingales, M.; Elishakoff, I. (2000): Anti-optimization versus probability in an applied mechanics problem: vector uncertainty. Transactions of the ASME, Journal of Applied Mechanics, vol.67, no.3, pp. 472-484.
    • (2000) Transactions of the ASME, Journal of Applied Mechanics , vol.67 , Issue.3 , pp. 472-484
    • Zingales, M.1    Elishakoff, I.2


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