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Volumn 50, Issue , 2012, Pages 217-230

High dimensional model representation based formulations for fuzzy finite element analysis of structures

Author keywords

Explicit formulation; Finite element; Fuzzy analysis; High dimensional model representation; Implicit formulation; Response surface

Indexed keywords

EXPLICIT FORMULATION; FINITE ELEMENT; FUZZY ANALYSIS; HIGH DIMENSIONAL MODEL REPRESENTATION; IMPLICIT FORMULATION; RESPONSE SURFACE;

EID: 84155170831     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2011.09.012     Document Type: Article
Times cited : (60)

References (39)
  • 2
    • 58149322697 scopus 로고
    • Essay on uncertainties in elastic and viscoelastic structures: From A.M. Freudenthals criticism to modern convex modelling
    • I. Elishakoff Essay on uncertainties in elastic and viscoelastic structures: from A.M. Freudenthals criticism to modern convex modelling Comput. Struct. 56 2 1995 871 895
    • (1995) Comput. Struct. , vol.56 , Issue.2 , pp. 871-895
    • Elishakoff, I.1
  • 3
    • 34248666540 scopus 로고
    • Fuzzy sets
    • L. Zadeh Fuzzy sets Inf. Control 8 3 1965 338 353
    • (1965) Inf. Control , vol.8 , Issue.3 , pp. 338-353
    • Zadeh, L.1
  • 4
    • 85002661091 scopus 로고
    • Fuzzy finite element approach for the analysis of imprecisely defined systems
    • S.S. Rao, and P. Sawyer Fuzzy finite element approach for the analysis of imprecisely defined systems AIAA J. 33 12 1995 2364 2370
    • (1995) AIAA J. , vol.33 , Issue.12 , pp. 2364-2370
    • Rao, S.S.1    Sawyer, P.2
  • 5
    • 0031235958 scopus 로고    scopus 로고
    • Fuzzy finite element approach for the vibration analysis of imprecisely defined systems
    • L. Chen, and S.S. Rao Fuzzy finite element approach for the vibration analysis of imprecisely defined systems Finite Elem. Anal. Des. 27 1997 69 83
    • (1997) Finite Elem. Anal. Des. , vol.27 , pp. 69-83
    • Chen, L.1    Rao, S.S.2
  • 7
    • 0036151851 scopus 로고    scopus 로고
    • Fuzzy finite element method for frequency response function analysis of uncertain structures
    • D. Moens, and D. Vandepitte Fuzzy finite element method for frequency response function analysis of uncertain structures AIAA J. 40 1 2002 126 136 (Pubitemid 34108734)
    • (2002) AIAA Journal , vol.40 , Issue.1 , pp. 126-136
    • Moens, D.1    Vandepitte, D.2
  • 8
    • 0034187434 scopus 로고    scopus 로고
    • A fuzzy arithmetical approach to the solution of finite element problems with uncertain parameters
    • M. Hanss, and K. Willner A fuzzy arithmetical approach to the solution of finite element problems with uncertain parameters Mech. Res. Commun. 27 2000 257 272
    • (2000) Mech. Res. Commun. , vol.27 , pp. 257-272
    • Hanss, M.1    Willner, K.2
  • 9
    • 0037119860 scopus 로고    scopus 로고
    • The transformation method for the simulation and analysis of systems with uncertain parameters
    • DOI 10.1016/S0165-0114(02)00045-3, PII S0165011402000453
    • M. Hanss The transformation method for the simulation and analysis of systems with uncertain parameters Fuzzy Sets Syst. 130 3 2002 277 289 (Pubitemid 34862873)
    • (2002) Fuzzy Sets and Systems , vol.130 , Issue.3 , pp. 277-289
    • Hanss, M.1
  • 10
    • 13344252247 scopus 로고    scopus 로고
    • Assessment of uncertainty on structural dynamic responses with the short transformation method
    • DOI 10.1016/j.jsv.2005.07.003, PII S0022460X05004499, Uncertainty in Structural Dynamics
    • S. Donders, D. Vandepitte, J. Van de Peer, and W. Desmet Assessment of uncertainty on structural dynamic responses with the short transformation method J. Sound Vib. 288 3 2005 523 549 (Pubitemid 41360483)
    • (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
  • 11
    • 0000192999 scopus 로고
    • Vertex method for computing function of fuzzy variables
    • W.M. Dong, and H.C. Shah Vertex method for computing function of fuzzy variables Fuzzy Sets Syst. 2 1987 201 208
    • (1987) Fuzzy Sets Syst. , vol.2 , pp. 201-208
    • Dong, W.M.1    Shah, H.C.2
  • 12
    • 16444375607 scopus 로고
    • Fuzzy weighted averages and implementation of the extension principle
    • W.M. Dong, and F.S. Wong Fuzzy weighted averages and implementation of the extension principle Fuzzy Sets Syst. 21 2 1987 183 199
    • (1987) Fuzzy Sets Syst. , vol.21 , Issue.2 , pp. 183-199
    • Dong, W.M.1    Wong, F.S.2
  • 13
    • 17344387190 scopus 로고    scopus 로고
    • Fuzzy structural analysis using α-level optimization
    • DOI 10.1007/s004660000204
    • B. Möller, W. Graf, and M. Beer Fuzzy structural analysis using α-level optimization Comput. Mech. 26 6 2000 547 565 (Pubitemid 32131778)
    • (2000) Computational Mechanics , vol.26 , Issue.6 , pp. 547-565
    • Moller, B.1    Graf, W.2    Beer, M.3
  • 14
    • 41549123521 scopus 로고    scopus 로고
    • Application of fuzzy numerical techniques for product performance analysis in the conceptual and preliminary design stage
    • DOI 10.1016/j.compstruc.2007.07.012, PII S0045794907002490
    • L. Farkas, D. Moens, D. Vandepitte, and W. Desmet Application of fuzzy numerical techniques for product performance analysis in the conceptual and preliminary design stage Comput. Struct. 86 10 2008 1061 1079 (Pubitemid 351467115)
    • (2008) Computers and Structures , vol.86 , Issue.10 , pp. 1061-1079
    • Farkas, L.1    Moens, D.2    Vandepitte, D.3    Desmet, W.4
  • 15
    • 0031696684 scopus 로고    scopus 로고
    • Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis
    • PII S004578259601211X
    • Z. Qiu, and I. Elishakoff Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis Comput. Methods Appl. Mech. Eng. 152 3-4 1998 361 372 (Pubitemid 128402583)
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.152 , Issue.3-4 , pp. 361-372
    • Qiu, Z.1    Elishakoff, I.2
  • 16
    • 0000448462 scopus 로고    scopus 로고
    • Analysis of uncertain structural systems using interval analysis
    • S.S. Rao, and L. Berke Analysis of uncertain structural systems using interval analysis AIAA J. 34 4 1997 727 735 (Pubitemid 127580085)
    • (1997) AIAA Journal , vol.35 , Issue.4 , pp. 727-735
    • Rao, S.S.1    Berke, L.2
  • 17
    • 0035246317 scopus 로고    scopus 로고
    • Analysis of mechanical systems using interval computations applied to finite element methods
    • DOI 10.1006/jsvi.2000.3191
    • O. Dessombz, F. Thouverez, J.P. Laîné, and L. Jézéquel Analysis of mechanical systems using interval computations applied to finite element methods J. Sound Vib. 239 5 2001 949 968 (Pubitemid 32370233)
    • (2001) Journal of Sound and Vibration , vol.239 , Issue.5 , pp. 949-968
    • Dessombz, O.1    Trouverez, F.2    Laine, J.-P.3    Jezequel, L.4
  • 18
    • 0032633467 scopus 로고    scopus 로고
    • Bounds of structural response for all possible loading combinations
    • R.L. Muhanna, and R.L. Mullen Bounds of structural response for all possible loading combinations ASCE J. Struct. Eng. 125 1 1999 98 106
    • (1999) ASCE J. Struct. Eng. , vol.125 , Issue.1 , pp. 98-106
    • Muhanna, R.L.1    Mullen, R.L.2
  • 20
    • 41549132972 scopus 로고    scopus 로고
    • A response surface based optimisation algorithm for the calculation of fuzzy envelope FRFs of models with uncertain properties
    • DOI 10.1016/j.compstruc.2007.07.006, PII S0045794907002489
    • M.D. Munck, D. Moens, W. Desmet, and D. Vandepitte A response surface based optimisation algorithm for the calculation of fuzzy envelope FRFs of models with uncertain properties Comput. Struct. 86 10 2008 1080 1092 (Pubitemid 351467114)
    • (2008) Computers and Structures , vol.86 , Issue.10 , pp. 1080-1092
    • De Munck, M.1    Moens, D.2    Desmet, W.3    Vandepitte, D.4
  • 21
    • 0003017575 scopus 로고    scopus 로고
    • Prediction with Gaussian processes: From linear regression to linear prediction and beyond
    • M.I. Jordan, The MIT Press pp. 599612
    • C.K.I. Williams Prediction with Gaussian processes: from linear regression to linear prediction and beyond M.I. Jordan, Learning in Graphical Models 1998 The MIT Press pp. 599612
    • (1998) Learning in Graphical Models
    • Williams, C.K.I.1
  • 22
    • 0000561424 scopus 로고    scopus 로고
    • Efficient Global Optimization of Expensive Black-Box Functions
    • D.R. Jones, M. Schonlau, and W.J. Welch Efficient global optimization of expensive black-box functions J. Global Optim. 13 4 1998 455 492 (Pubitemid 128507405)
    • (1998) Journal of Global Optimization , vol.13 , Issue.4 , pp. 455-492
    • Jones, D.R.1    Schonlau, M.2    Welch, W.J.3
  • 24
    • 0004167575 scopus 로고
    • Prentice-Hall Inc. Upper Saddle River, NJ, USA
    • R.L. Harvey Neural Network Principles 1994 Prentice-Hall Inc. Upper Saddle River, NJ, USA
    • (1994) Neural Network Principles
    • Harvey, R.L.1
  • 27
    • 78751575323 scopus 로고    scopus 로고
    • High dimensional model representation method for fuzzy structural dynamics
    • 10.1016/j.jsv.2010.10.010
    • S. Adhikari, R. Chowdhury, and M.I. Friswell High dimensional model representation method for fuzzy structural dynamics J. Sound Vib. 2010 10.1016/j.jsv.2010.10.010
    • (2010) J. Sound Vib.
    • Adhikari, S.1    Chowdhury, R.2    Friswell, M.I.3
  • 29
    • 0001647782 scopus 로고    scopus 로고
    • Fully equivalent operational models for atmospheric chemical kinetics within global chemistry-transport models
    • S.W. Wang, H. Levy II, G. Li, and H. Rabitz Fully equivalent operational models for atmospheric chemical kinetics within global chemistry-transport models J. Geophys. Res. 104 D23 1999 30417 30426
    • (1999) J. Geophys. Res. , vol.104 , Issue.23 D , pp. 30417-30426
    • Wang, S.W.1    Levy, I.I.H.2    Li, G.3    Rabitz, H.4
  • 30
    • 0035638871 scopus 로고    scopus 로고
    • Efficient implementation of high dimensional model representations
    • O.F. Alis, and H. Rabitz Efficient implementation of high dimensional model representations J. Math. Chem. 29 2 2001 127 142
    • (2001) J. Math. Chem. , vol.29 , Issue.2 , pp. 127-142
    • Alis, O.F.1    Rabitz, H.2
  • 31
    • 0037020570 scopus 로고    scopus 로고
    • Global uncertainty assessments by high dimensional model representations (HDMR)
    • DOI 10.1016/S0009-2509(02)00417-7, PII S0009250902004177
    • G. Li, S.W. Wang, H. Rabitz, S. Wang, and P. Jaffé Global uncertainty assessments by high dimensional model representations (HDMR) Chem. Eng. Sci. 57 21 2002 4445 4460 (Pubitemid 36036154)
    • (2002) Chemical Engineering Science , vol.57 , Issue.21 , pp. 4445-4460
    • Li, G.1    Wang, S.-W.2    Rabitz, H.3    Wang, S.4    Jaffe, P.5
  • 32
    • 0033241715 scopus 로고    scopus 로고
    • General foundations of high dimensional model representations
    • H. Rabitz, and O.F. Alis General foundations of high dimensional model representations J. Math. Chem. 25 2-3 1999 197 233
    • (1999) J. Math. Chem. , vol.25 , Issue.23 , pp. 197-233
    • Rabitz, H.1    Alis, O.F.2
  • 33
    • 42849083056 scopus 로고    scopus 로고
    • High dimensional model representations
    • G. Li, C. Rosenthal, and H. Rabitz High dimensional model representations J. Phys. Chem. A 105 2001 7765 7777
    • (2001) J. Phys. Chem. A , vol.105 , pp. 7765-7777
    • Li, G.1    Rosenthal, C.2    Rabitz, H.3
  • 34
    • 0000760143 scopus 로고
    • Sensitivity estimates for nonlinear mathematical models
    • I.M. Sobol Sensitivity estimates for nonlinear mathematical models Math. Modeling Comput. Exp. 1 1993 407 414
    • (1993) Math. Modeling Comput. Exp. , vol.1 , pp. 407-414
    • Sobol, I.M.1
  • 35
    • 61749093569 scopus 로고    scopus 로고
    • High dimensional model representation for piece wise continuous function approximation
    • R. Chowdhury, B.N. Rao, and A.M. Prasad High dimensional model representation for piece wise continuous function approximation Commun. Num. Methods Eng. 24 12 2008 1587 1609
    • (2008) Commun. Num. Methods Eng. , vol.24 , Issue.12 , pp. 1587-1609
    • Chowdhury, R.1    Rao, B.N.2    Prasad, A.M.3
  • 36
    • 65549092326 scopus 로고    scopus 로고
    • High dimensional model representation for structural reliability analysis
    • R. Chowdhury, B.N. Rao, and A.M. Prasad High dimensional model representation for structural reliability analysis Commun. Num. Methods Eng. 25 4 2009 301 337
    • (2009) Commun. Num. Methods Eng. , vol.25 , Issue.4 , pp. 301-337
    • Chowdhury, R.1    Rao, B.N.2    Prasad, A.M.3
  • 37
    • 39449083918 scopus 로고    scopus 로고
    • Confidence bounds on component reliability in the presence of mixed uncertain variables
    • DOI 10.1016/j.ijmecsci.2007.09.015, PII S0020740307001518
    • P.R. Adduri, and R.C. Penmetsa Confidence bounds on component reliability in the presence of mixed uncertain variables Int. J. Mech. Sci. 50 3 2008 481 489 (Pubitemid 351273711)
    • (2008) International Journal of Mechanical Sciences , vol.50 , Issue.3 , pp. 481-489
    • Adduri, P.R.1    Penmetsa, R.C.2


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