메뉴 건너뛰기




Volumn 51, Issue 3, 1998, Pages 209-218

Three versions of the finite element method based on concepts of either stochasticity, fuzziness, or anti-optimization

Author keywords

[No Author keywords available]

Indexed keywords

FUZZY SETS; OPTIMIZATION; PROBABILITY; RANDOM PROCESSES; ROBUSTNESS (CONTROL SYSTEMS); STRUCTURAL DESIGN; STRUCTURES (BUILT OBJECTS);

EID: 0032023748     PISSN: 00036900     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.3098998     Document Type: Article
Times cited : (102)

References (127)
  • 3
    • 0026855566 scopus 로고
    • Structural reliability assessment with ambiguity and vagueness in failure
    • Ayyub BM and Lai K-L (1992), Structural reliability assessment with ambiguity and vagueness in failure, Naval EngJ, 21-35.
    • (1992) Naval Engj , pp. 21-35
    • Ayyub, B.M.1    Lai, K.-L.2
  • 6
    • 0348114904 scopus 로고
    • Asymptotic versus classical mathematics
    • TM Rassias (ed), World Sci Publ, Singapore
    • Barantsev RG (1989), Asymptotic versus classical mathematics, Topics in Mathematical Analysis, TM Rassias (ed), World Sci Publ, Singapore, 49-64.
    • (1989) Topics in Mathematical Analysis , pp. 49-64
    • Barantsev, R.G.1
  • 7
    • 0346223683 scopus 로고    scopus 로고
    • Uniform distribution: A rigorous justification for its use in robustness analysis
    • to appear
    • Barmish BR and Lagoa CM (1998), Uniform distribution: A rigorous justification for its use in robustness analysis, Math Control, Signals. Syst, to appear.
    • (1998) Math Control, Signals. Syst
    • Barmish, B.R.1    Lagoa, C.M.2
  • 10
    • 0030244377 scopus 로고    scopus 로고
    • Bounding elastic constants of an orthotropic polycrystal using measurements of the microstructure
    • Beran MY, Mason TA, Adams BL, and Olson T (1996), Bounding elastic constants of an orthotropic polycrystal using measurements of the microstructure, J Mech Phys Solids 44, 1543-1563.
    • (1996) J Mech Phys Solids , vol.44 , pp. 1543-1563
    • Beran, M.Y.1    Mason, T.A.2    Adams, B.L.3    Olson, T.4
  • 11
    • 0348114903 scopus 로고
    • Application of the fuzzy sets theory to the reliability evaluations of structural systems
    • Guangdong Higher Education Publ House
    • Bemardini A and Modena C (1987), Application of the fuzzy sets theory to the reliability evaluations of structural systems, Proc of Fuzzy Systems and Knowledge Engineering, Guangdong Higher Education Publ House, 541-548.
    • (1987) Proc of Fuzzy Systems and Knowledge Engineering , pp. 541-548
    • Bemardini, A.1    Modena, C.2
  • 12
    • 0346854199 scopus 로고
    • Laws of physics and variational principles
    • CA Brebbia (ed), Springer Verlag, Berlin
    • Besseling JF (1985), Laws of physics and variational principles, Variational Methods in Engineering, CA Brebbia (ed), Springer Verlag, Berlin, 63-72.
    • (1985) Variational Methods in Engineering , pp. 63-72
    • Besseling, J.F.1
  • 13
    • 0000272073 scopus 로고
    • Vagueness: Exercise in logical analysis
    • Black M (1937), Vagueness: Exercise in logical analysis, Philosophy Sci 4, 427-455.
    • (1937) Philosophy Sci , vol.4 , pp. 427-455
    • Black, M.1
  • 16
    • 0346854197 scopus 로고    scopus 로고
    • Reconciling conflicts between science and the Torah
    • Branover H (1996), Reconciling conflicts between science and the Torah, Chabad Magazine, 10-11.
    • (1996) Chabad Magazine , pp. 10-11
    • Branover, H.1
  • 17
    • 0018528887 scopus 로고
    • Fuzzy safety measure
    • Brown CB (1979), Fuzzy safety measure, J Eng Mech 105, 855-872.
    • (1979) J Eng Mech , vol.105 , pp. 855-872
    • Brown, C.B.1
  • 20
    • 44949274331 scopus 로고
    • Reliability behavior of typical systems with two types of failure
    • Cai K-Y, Wen C-Y, and Zhang M-L (1991) Reliability behavior of typical systems with two types of failure, Fuzzy Sets and Syst 43, 17-32.
    • (1991) Fuzzy Sets and Syst , vol.43 , pp. 17-32
    • Cai, K.-Y.1    Wen, C.-Y.2    Zhang, M.-L.3
  • 22
    • 0001934648 scopus 로고
    • Application of first-order uncertainty analysis in the finite element method in linear elasticity
    • Cambou B (1975), Application of first-order uncertainty analysis in the finite element method in linear elasticity, Proc of 2nd Int Conf on Applied Statistics and Structural Engineering, 67-87.
    • (1975) Proc of 2Nd Int Conf on Applied Statistics and Structural Engineering , pp. 67-87
    • Cambou, B.1
  • 23
    • 0004113372 scopus 로고
    • Issues in possibilistic reliability theory
    • T Onisawa and J Kacprzyk (eds), Springer, Heidelberg
    • Cappelle B and Kerre EE (1995), Issues in possibilistic reliability theory, Reliability and Safety Analyses Under Fuzziness, T Onisawa and J Kacprzyk (eds), Springer, Heidelberg, 61-80.
    • (1995) Reliability and Safety Analyses under Fuzziness , pp. 61-80
    • Cappelle, B.1    Kerre, E.E.2
  • 24
    • 0029754772 scopus 로고    scopus 로고
    • Finite element analysis with fuzzy variables
    • ASCE, New York
    • Chao RY and Ayyub BM (1996), Finite element analysis with fuzzy variables, ASCE Eng Congress Proc, Vol I, ASCE, New York, 643-650.
    • (1996) ASCE Eng Congress Proc , vol.1 , pp. 643-650
    • Chao, R.Y.1    Ayyub, B.M.2
  • 26
    • 0019665416 scopus 로고
    • Structural safety: Some historical evidence that it is a healthy adolescent
    • T Moan and M Shinozuka (eds), Elsevier, Amsterdam
    • Cornell CA (1981), Structural safety: Some historical evidence that it is a healthy adolescent, Structural Safety and Reliability, T Moan and M Shinozuka (eds), Elsevier, Amsterdam, 19-29.
    • (1981) Structural Safety and Reliability , pp. 19-29
    • Cornell, C.A.1
  • 27
    • 0347484672 scopus 로고    scopus 로고
    • Modeling probabilistic uncertainty in two-state reliability theory
    • de Cooman G (1996), Modeling probabilistic uncertainty in two-state reliability theory, Fuzzy Sets Syst 83, 215-238.
    • (1996) Fuzzy Sets Syst , vol.83 , pp. 215-238
    • De Cooman, G.1
  • 28
    • 0007257753 scopus 로고    scopus 로고
    • Weighted integral method and the variability response function as part of an SFEM formulation
    • A Haidar, A Guran, and BM Ayyub (eds), World Sci, Singapore
    • Deodatis G and Graham L (1997), Weighted integral method and the variability response function as part of an SFEM formulation, Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems, A Haidar, A Guran, and BM Ayyub (eds), World Sci, Singapore, 71-116.
    • (1997) Uncertainty Modeling in Finite Element, Fatigue and Stability of Systems , pp. 71-116
    • Deodatis, G.1    Graham, L.2
  • 29
    • 0348114905 scopus 로고
    • Interval rotor dynamics
    • ZC Zheng (ed), Int Academic Publ, Beijing
    • Dimarogonas AD (1994), Interval rotor dynamics, Proc of Int Conf Vibration Engineering, ZC Zheng (ed), Int Academic Publ, Beijing, 745-758.
    • (1994) Proc of Int Conf Vibration Engineering , pp. 745-758
    • Dimarogonas, A.D.1
  • 30
    • 0030212362 scopus 로고    scopus 로고
    • Finite element analysis of flat rolling and application of fuzzy set-theory
    • Dixit US and Dixit PM (1996), Finite element analysis of flat rolling and application of fuzzy set-theory, Int J Machine Tools Manuf 36, 947-969.
    • (1996) Int J Machine Tools Manuf , vol.36 , pp. 947-969
    • Dixit, U.S.1    Dixit, P.M.2
  • 31
    • 0347484670 scopus 로고
    • Class of non-robust problems in stochastic dynamics
    • BL Clarkson (ed), Pitman, London
    • Drenik RF (1977), Class of non-robust problems in stochastic dynamics, Stochastic Problems in Dynamics, BL Clarkson (ed), Pitman, London, 237-255.
    • (1977) Stochastic Problems in Dynamics , pp. 237-255
    • Drenik, R.F.1
  • 34
    • 0039998376 scopus 로고
    • Idea of the uncertainty triangle
    • Editorial Page
    • Elishakoff, I (1990), Idea of the uncertainty triangle, Shock Vib Digest 22(10), Editorial Page.
    • (1990) Shock Vib Digest , vol.22 , Issue.10
    • Elishakoff, I.1
  • 35
    • 58149322697 scopus 로고
    • Essay on uncertainties in elastic and viscoelastic structures: From am freudenthal’s criticisms to modem convex modeling
    • Elishakoff I (1995a), Essay on uncertainties in elastic and viscoelastic structures: From am freudenthal’s criticisms to modem convex modeling, Comput Struct 56, 871-895.
    • (1995) Comput Struct , vol.56 , pp. 871-895
    • Elishakoff, I.1
  • 36
    • 84990871738 scopus 로고
    • Random vibration of structures: A personal perspective
    • Elishakoff I (1995b), Random vibration of structures: A personal perspective, Appl Mech Rev 48(12), 809-825.
    • (1995) Appl Mech Rev , vol.48 , Issue.12 , pp. 809-825
    • Elishakoff, I.1
  • 37
    • 85008286224 scopus 로고    scopus 로고
    • Fuzzy finite element approach for analysis of imprecisely defined systems: Comment on paper by SS Rao and JP Sawyer
    • Elishakoff I (1997), Fuzzy finite element approach for analysis of imprecisely defined systems: Comment on paper by SS Rao and JP Sawyer, A1AAJ 35,403.
    • (1997) A1AAJ , vol.35 , pp. 403
    • Elishakoff, I.1
  • 38
    • 0346854196 scopus 로고    scopus 로고
    • Are probability and anti-optimization concepts interconnected?
    • I Elishakoff (ed). Springer Verlag, Vienna, (to appear)
    • Elishakoff I (1998), Are probability and anti-optimization concepts interconnected?, Uncertainty in Engineering, I Elishakoff (ed). Springer Verlag, Vienna, (to appear).
    • (1998) Uncertainty in Engineering
    • Elishakoff, I.1
  • 40
    • 0028207809 scopus 로고
    • Nonlinear buckling of a column with initial imperfection via stochastic and non-stochastic, convex models
    • Elishakoff I, Cai GQ, and Starnes JH Jr (1994), Nonlinear buckling of a column with initial imperfection via stochastic and non-stochastic, convex models, Int J Nonlinear Mech 29, 65-70.
    • (1994) Int J Nonlinear Mech , vol.29 , pp. 65-70
    • Elishakoff, I.1    Cai, G.Q.2    Starnes, J.H.3
  • 41
    • 0027576235 scopus 로고
    • Combination of probabilistic and convex models of uncertainty when scarce knowledge is present on acoustic excitation parameters
    • Elishakoff I and Colombi P (1993), Combination of probabilistic and convex models of uncertainty when scarce knowledge is present on acoustic excitation parameters, Comput Methods Appl Mech Eng 104, 187-209.
    • (1993) Comput Methods Appl Mech Eng , vol.104 , pp. 187-209
    • Elishakoff, I.1    Colombi, P.2
  • 42
    • 0346223682 scopus 로고
    • Ideas of probability and convexity combined for analyzing parameter uncertainty
    • G1 Schiieller, M Shinozuka, and JTP Yao (eds), Balkema, Rotterdam
    • Elishakoff I and Colombi P (1994), Ideas of probability and convexity combined for analyzing parameter uncertainty, Structural Safety and Reliability, G1 Schiieller, M Shinozuka, and JTP Yao (eds), Balkema, Rotterdam, 109-113.
    • (1994) Structural Safety and Reliability , pp. 109-113
    • Elishakoff, I.1    Colombi, P.2
  • 43
    • 0000395277 scopus 로고
    • Structural design under bounded, uncertainty: Optimization with anti-optimization
    • Elishakoff I, Haftka RT, and Fang JJ (1994), Structural design under bounded, uncertainty: Optimization with anti-optimization, Comput Struct 53, 1401-1405.
    • (1994) Comput Struct , vol.53 , pp. 1401-1405
    • Elishakoff, I.1    Haftka, R.T.2    Fang, J.J.3
  • 44
    • 0029779817 scopus 로고    scopus 로고
    • Detrimental and serendipitous effect of human error on reliability of structures
    • Elishakoff I and Hasofer AM (1996), Detrimental and serendipitous effect of human error on reliability of structures, Comput Methods Appl Mech Eng 129, 1-7.
    • (1996) Comput Methods Appl Mech Eng , vol.129 , pp. 1-7
    • Elishakoff, I.1    Hasofer, A.M.2
  • 46
    • 0012237152 scopus 로고    scopus 로고
    • Finite element method for stochastic structures based on inverse of stiffness matrix
    • A Haidar, A Guran, and BM Ayyub (eds). World Sci, Singapore
    • Elishakoff I and Ren Y (1997), Finite element method for stochastic structures based on inverse of stiffness matrix, Uncertainly Modeling in Finite Element, Fatigue and Stability of Systems, A Haidar, A Guran, and BM Ayyub (eds). World Sci, Singapore, 51-70.
    • (1997) Uncertainly Modeling in Finite Element, Fatigue and Stability of Systems , pp. 51-70
    • Elishakoff, I.1    Ren, Y.2
  • 47
    • 85025209937 scopus 로고    scopus 로고
    • Bird’s eye view on FEM for stochastic structures, Comput Methods Appl Mech Eng
    • Elishakoff I and Ren Y (1998), Bird’s eye view on FEM for stochastic structures, Comput Methods Appl Mech Eng, accepted for publication.
    • (1998) Accepted for Publication
    • Elishakoff, I.1    Ren, Y.2
  • 48
    • 0029358670 scopus 로고
    • Some exact solutions for bending of beams with spatially stochastic stiffness
    • Elishakoff I, Ren YJ, and Shinozuka M (1995), Some exact solutions for bending of beams with spatially stochastic stiffness, Int J Solids Struct 32,2315-2327.
    • (1995) Int J Solids Struct , vol.32 , pp. 2315-2327
    • Elishakoff, I.1    Ren, Y.J.2    Shinozuka, M.3
  • 49
    • 0030442819 scopus 로고    scopus 로고
    • Critical observations and attendant new results in the FEM for stochastic problems
    • Elishakoff I, Ren YJ, and Shinozuka M (1996), Critical observations and attendant new results in the FEM for stochastic problems, Chaos, Solitons. Fractals 7, 597-609.
    • (1996) Chaos, Solitons. Fractals , vol.7 , pp. 597-609
    • Elishakoff, I.1    Ren, Y.J.2    Shinozuka, M.3
  • 50
    • 0346223680 scopus 로고    scopus 로고
    • Hybrid anti-optimization and fuzzy-set-based analyses for structural optimization under uncertainty
    • to appear
    • Fang JJ, Smith SM, and Elishakoff I (1998), Hybrid anti-optimization and fuzzy-set-based analyses for structural optimization under uncertainty, Math Probl Eng, to appear.
    • (1998) Math Probl Eng
    • Fang, J.J.1    Smith, S.M.2    Elishakoff, I.3
  • 51
    • 0346854195 scopus 로고
    • Probabilistic-fuzzy model for seismic hazard
    • T Onisawa and J Kacprzyk (eds), Springer, Heidelberg
    • Frangopol DM and Hong K (1995), Probabilistic-fuzzy model for seismic hazard, Reliability and Safety Analyses Under Fuzziness, T Onisawa and J Kacprzyk (eds), Springer, Heidelberg, 302-325.
    • (1995) Reliability and Safety Analyses under Fuzziness , pp. 302-325
    • Frangopol, D.M.1    Hong, K.2
  • 52
    • 0001719737 scopus 로고
    • Safety of structures
    • Freudenthal AM (1947), Safety of structures, Trans ASCE 112, 125-180.
    • (1947) Trans ASCE , vol.112 , pp. 125-180
    • Freudenthal, A.M.1
  • 53
    • 0000991852 scopus 로고
    • Safety and probability of structural failure
    • Freudenthal AM (1956), Safety and probability of structural failure, Trans ASCE 121, 1337-1375.
    • (1956) Trans ASCE , vol.121 , pp. 1337-1375
    • Freudenthal, A.M.1
  • 57
    • 0031508202 scopus 로고    scopus 로고
    • Spectral techniques for stochastic finite elements
    • Ghanem RG and Spanos PD (1997), Spectral techniques for stochastic finite elements, Arch Comput Methods Eng 4,63-100.
    • (1997) Arch Comput Methods Eng , vol.4 , pp. 63-100
    • Ghanem, R.G.1    Spanos, P.D.2
  • 58
    • 38249011916 scopus 로고
    • Random-fuzzy analysis of existing structures
    • Haidar A and Reddy RK (1992), Random-fuzzy analysis of existing structures, Fuzzy Sets Syst 48, 201-210.
    • (1992) Fuzzy Sets Syst , vol.48 , pp. 201-210
    • Haidar, A.1    Reddy, R.K.2
  • 59
    • 0004329201 scopus 로고
    • Cambridge Univ Press, (2nd Edition by Dover Publ, 1953)
    • Heath TL (1897), Works of Archimedes, Cambridge Univ Press, (2nd Edition by Dover Publ, 1953).
    • (1897) Works of Archimedes
    • Heath, T.L.1
  • 60
    • 0347484662 scopus 로고
    • Fuzzy concept very clear in Japan
    • Aug 20
    • Hirota K (Aug 20, 1991), Fuzzy concept very clear in Japan, Asashi Evening News.
    • (1991) Asashi Evening News
    • Hirota, K.1
  • 62
    • 0031062208 scopus 로고    scopus 로고
    • Imperfection sensitive strength variation of soil specimens
    • Ikeda K, Chida T, and Yanagisawa E (1997), Imperfection sensitive strength variation of soil specimens, J Mech Phys Solids 45, 293-315.
    • (1997) J Mech Phys Solids , vol.45 , pp. 293-315
    • Ikeda, K.1    Chida, T.2    Yanagisawa, E.3
  • 64
    • 85025220150 scopus 로고    scopus 로고
    • Behavior of stochastic shear beams under random loading via stochastic variational principles, Int J Solids Struct
    • Impollonia N and Elishakoff I (1997), Behavior of stochastic shear beams under random loading via stochastic variational principles, Int J Solids Struct, accepted for publication
    • (1997) Accepted for Publication
    • Impollonia, N.1    Elishakoff, I.2
  • 65
    • 0348114900 scopus 로고    scopus 로고
    • Interval uncertainty structure: Conservative but simple
    • HG Natke and Y Ben-Haim (eds), Akademie Verlag, Berlin
    • Kharitonov V (1997), Interval uncertainty structure: conservative but simple, Uncertainty Models and Measures, HG Natke and Y Ben-Haim (eds), Akademie Verlag, Berlin, 267-276.
    • (1997) Uncertainty Models and Measures , pp. 267-276
    • Kharitonov, V.1
  • 66
    • 0027695681 scopus 로고
    • Comparison of stochastic and guaranteed approaches to the estimation of the state of dynamic systems
    • Kim YuV, Ovseyevich AI, and Reshtnyak YuN (1993), Comparison of stochastic and guaranteed approaches to the estimation of the state of dynamic systems, J Comput Syst Sci Int 31, 56-64.
    • (1993) J Comput Syst Sci Int , vol.31 , pp. 56-64
    • Kim, Y.1    Ovseyevich, A.I.2    Reshtnyak, Y.3
  • 68
    • 0348114901 scopus 로고
    • Japanese advances in fuzzy theory and applications
    • Klir GJ (1991), Japanese advances in fuzzy theory and applications, ONR Asian Office Sci Info Bull 16(3), 65-74.
    • (1991) ONR Asian Office Sci Info Bull , vol.16 , Issue.3 , pp. 65-74
    • Klir, G.J.1
  • 74
    • 0018519791 scopus 로고
    • Guaranteed asymptotic stability for some linear systems with bounded uncertainties
    • Leitman G (1979), Guaranteed asymptotic stability for some linear systems with bounded uncertainties, J Dyn Syst Meas Control 101,213-216.
    • (1979) J Dyn Syst Meas Control , vol.101 , pp. 213-216
    • Leitman, G.1
  • 75
    • 0346223673 scopus 로고
    • Unified model for structural reliability analysis based on fuzzy random probabilistic theory
    • (in Chinese)
    • Li YQ and Zhao GF (1995), Unified model for structural reliability analysis based on fuzzy random probabilistic theory, J Dalian Univ Tech 35(4), 528-531 (in Chinese).
    • (1995) J Dalian Univ Tech , vol.35 , Issue.4 , pp. 528-531
    • Li, Y.Q.1    Zhao, G.F.2
  • 76
    • 0348114899 scopus 로고
    • Experimental comparison of probabilistic methods and fuzzy sets for designing under uncertainty, PhD Dissertation
    • VP I, Blacksburg
    • Maglaras G (1995), Experimental comparison of probabilistic methods and fuzzy sets for designing under uncertainty, PhD Dissertation, Dept of Aerospace Eng, VP I, Blacksburg.
    • (1995) Dept of Aerospace Eng
    • Maglaras, G.1
  • 80
    • 0348114898 scopus 로고    scopus 로고
    • Discussion of the paper by Köylüoglu HU, Cakmak AS, and Nielsen SRK
    • Modaressi H (1997), Discussion of the paper by Köylüoglu HU, Cakmak AS, and Nielsen SRK, J Eng Mech 121, 645.
    • (1997) J Eng Mech , vol.121 , pp. 645
    • Modaressi, H.1
  • 81
    • 0004293209 scopus 로고
    • Prentice Hall, Englewood Cliffs
    • Moore R (1966), Interval Analysis, Prentice Hall, Englewood Cliffs.
    • (1966) Interval Analysis
    • Moore, R.1
  • 83
    • 0030286916 scopus 로고    scopus 로고
    • Interval estimation based on finite element sensitivity analysis of stiffness equation
    • Nakagiri S and Suzuki K (1996), Interval estimation based on finite element sensitivity analysis of stiffness equation, Trans Japan Soc Mech Eng Pt A 62(603), 2435-2439.
    • (1996) Trans Japan Soc Mech Engpt A , vol.62 , Issue.603 , pp. 2435-2439
    • Nakagiri, S.1    Suzuki, K.2
  • 84
    • 0031185792 scopus 로고    scopus 로고
    • Interval estimation of eigenvalue problem based on finite element sensitivity analysis and convex model
    • Nakagiri S and Suzuki K (1997), Interval estimation of eigenvalue problem based on finite element sensitivity analysis and convex model, JSME Int J Series A 40(3), 228-233.
    • (1997) JSME Int J Series A , vol.40 , Issue.3 , pp. 228-233
    • Nakagiri, S.1    Suzuki, K.2
  • 87
    • 0011749229 scopus 로고    scopus 로고
    • Uncertainty: A discussion from various points of view
    • HG Natke and Y Ben-Haim (eds), Akademie Verlag
    • Natke HG and Ben-Haim Y (1997), Uncertainty: A discussion from various points of view, Uncertainty: Models and Measures, HG Natke and Y Ben-Haim (eds), Akademie Verlag, 267-276.
    • (1997) Uncertainty: Models and Measures , pp. 267-276
    • Natke, H.G.1    Ben-Haim, Y.2
  • 90
    • 0030575588 scopus 로고    scopus 로고
    • Subjective analysis of system reliability and its analyzer
    • Onigwai T (1996), Subjective analysis of system reliability and its analyzer, Fuzzy Sets Syst 83, 249-269.
    • (1996) Fuzzy Sets Syst , vol.83 , pp. 249-269
    • Onigwai, T.1
  • 92
    • 21844516740 scopus 로고
    • Natural frequencies of structures with uncertain but nonrandom parameters
    • Qiu ZP, Chen SH, and Elishakoff I (1995), Natural frequencies of structures with uncertain but nonrandom parameters, J Optim Theory Appl 86, 669-683.
    • (1995) J Optim Theory Appl , vol.86 , pp. 669-683
    • Qiu, Z.P.1    Chen, S.H.2    Elishakoff, I.3
  • 93
    • 0000448462 scopus 로고    scopus 로고
    • Analysis of uncertain structural systems using interval analysis
    • Rao SS and Berke L (1997), Analysis of uncertain structural systems using interval analysis, AIAA J 35, 727-735.
    • (1997) AIAA J , vol.35 , pp. 727-735
    • Rao, S.S.1    Berke, L.2
  • 94
    • 85002661091 scopus 로고
    • Fuzzy finite element approach for the analysis of imprecisely defined systems
    • Rao SS and Sawyer JP (1995), Fuzzy finite element approach for the analysis of imprecisely defined systems, AIAA J 33,2364-2370.
    • (1995) AIAA J , vol.33 , pp. 2364-2370
    • Rao, S.S.1    Sawyer, J.P.2
  • 95
    • 0040492134 scopus 로고    scopus 로고
    • Finite element method for stochastic beams based on variational principles
    • Ren YJ, Elishakoff I, and Shinozuka M (1997), Finite element method for stochastic beams based on variational principles, J Appl Mech 64,664-669.
    • (1997) J Appl Mech , vol.64 , pp. 664-669
    • Ren, Y.J.1    Elishakoff, I.2    Shinozuka, M.3
  • 100
    • 0346854189 scopus 로고
    • Importance of asymptotic analysis in applied mathematics
    • Segel LA (1966), Importance of asymptotic analysis in applied mathematics, Am Math Monthly 73, 7-14.
    • (1966) Am Math Monthly , vol.73 , pp. 7-14
    • Segel, L.A.1
  • 101
    • 0030127858 scopus 로고    scopus 로고
    • Mixed fuzzy-probabilistic programming approach for multiobjective engineering optimization with random variables
    • Shih CJ and Wangsawidjaja, RAS (1996), Mixed fuzzy-probabilistic programming approach for multiobjective engineering optimization with random variables, Comput Struct 59, 283-290.
    • (1996) Comput Struct , vol.59 , pp. 283-290
    • Shih, C.J.1    Wangsawidjaja, R.2
  • 102
    • 0020942709 scopus 로고
    • Reliability analysis based on fuzzy probability
    • Shiraishi N and Furuta M (1983), Reliability analysis based on fuzzy probability, J Eng Mech 109, 1445-1459.
    • (1983) J Eng Mech , vol.109 , pp. 1445-1459
    • Shiraishi, N.1    Furuta, M.2
  • 103
    • 0028497531 scopus 로고
    • Implementation of discrete fuzzy structure models in mathematics
    • Sparrow VW, Russell DA, and Rochat JL (1994), Implementation of discrete fuzzy structure models in mathematics, Int J Numer Methods Eng 37,3005-3014.
    • (1994) Int J Numer Methods Eng , vol.37 , pp. 3005-3014
    • Sparrow, V.W.1    Russell, D.A.2    Rochat, J.L.3
  • 104
    • 84876549061 scopus 로고
    • Finite element analysis of underground stress utilizing stochastically simulated material properties
    • Su YL, Wang YJ, and Stefanko R (1969), Finite element analysis of underground stress utilizing stochastically simulated material properties, Proc of 11th US Symp on Rock Mechanics, CA.
    • (1969) Proc of 11Th US Symp on Rock Mechanics, CA
    • Su, Y.L.1    Wang, Y.J.2    Stefanko, R.3
  • 105
    • 0002038715 scopus 로고
    • Theory of an interval algebra and its application to numerical analysis
    • Sunaga T (1958), Theory of an interval algebra and its application to numerical analysis, RAAG Memoirs 2, 547-565.
    • (1958) RAAG Memoirs , vol.2 , pp. 547-565
    • Sunaga, T.1
  • 106
    • 0027790374 scopus 로고
    • Fuzzy FE analysis of a foundation on a elastic soil medium
    • Valliappan S and Pham TD (1993), Fuzzy FE analysis of a foundation on a elastic soil medium, Int J Numer Anal Mech Geomech 17, 771-789.
    • (1993) Int J Numer Anal Mech Geomech , vol.17 , pp. 771-789
    • Valliappan, S.1    Pham, T.D.2
  • 107
    • 0028977124 scopus 로고
    • Elasto-plastic finite element analysis with fuzzy parameters
    • Valliappan S and Pham TD (1995), Elasto-plastic finite element analysis with fuzzy parameters, Int J Numer Methods Eng 38, 531-548.
    • (1995) Int J Numer Methods Eng , vol.38 , pp. 531-548
    • Valliappan, S.1    Pham, T.D.2
  • 108
    • 0000694956 scopus 로고
    • Economic decision problems for flood prevention
    • Van Danzig D (1956), Economic decision problems for flood prevention, Econometrica 24, 276-287.
    • (1956) Econometrica , vol.24 , pp. 276-287
    • Van Danzig, D.1
  • 109
    • 0347484653 scopus 로고
    • Perturbation theory from Lagrange to Van der Pol
    • Verhultz F (1984), Perturbation theory from Lagrange to Van der Pol, Nieuw Arch Wiskunde 2, 428-438.
    • (1984) Nieuw Arch Wiskunde , vol.2 , pp. 428-438
    • Verhultz, F.1
  • 110
    • 0018458893 scopus 로고
    • Statistical nature of fatigue crack propagation
    • Virkler DA, Hillberg BM, and Goel PK (1979), Statistical nature of fatigue crack propagation, J Eng Mat Tech 101, 148-153.
    • (1979) J Eng Mat Tech , vol.101 , pp. 148-153
    • Virkler, D.A.1    Hillberg, B.M.2    Goel, P.K.3
  • 111
    • 51249178143 scopus 로고
    • Fuzzy reliability analysis of aseismic structures
    • Wang G and Wang W (1986), Fuzzy reliability analysis of aseismic structures, Acta Mech Sinica 2, 322-332.
    • (1986) Acta Mech Sinica , vol.2 , pp. 322-332
    • Wang, G.1    Wang, W.2
  • 114
    • 85025228522 scopus 로고
    • Wetmatigheden in het Optreden van Storm-vlveden, De Ingenieur
    • (in Dutch)
    • Wemelsfelder PJ (1939), Wetmatigheden in het Optreden van Storm-vlveden, De Ingenieur, Nov 9 (in Dutch).
    • (1939) Nov , pp. 9
    • Wemelsfelder, P.J.1
  • 115
    • 0001591958 scopus 로고
    • Problems in physics with many scales of length
    • Wilson K (1979), Problems in physics with many scales of length, Sci Am, No 8, 140-157.
    • (1979) Sci Am , vol.8 , pp. 140-157
    • Wilson, K.1
  • 116
    • 0031541831 scopus 로고    scopus 로고
    • Fuzzy reliability analysis based on closed fuzzy numbers
    • Wu H-C (1997), Fuzzy reliability analysis based on closed fuzzy numbers, Info Sci 103, 135-159.
    • (1997) Info Sci , vol.103 , pp. 135-159
    • Wu, H.-C.1
  • 117
    • 0026736915 scopus 로고
    • Automatic 2D and 3D mesh generation based on fuzzy knowledge processing
    • Yagawa G, Yoshimura S, Soneda N, and Nakao K. (1992), Automatic 2D and 3D mesh generation based on fuzzy knowledge processing, Comput Mech 9, 333-346.
    • (1992) Comput Mech , vol.9 , pp. 333-346
    • Yagawa, G.1    Yoshimura, S.2    Soneda, N.3    Nakao, K.4
  • 118
    • 0029514532 scopus 로고
    • Automatic mesh generation of computer geometries based on fuzzy knowledge processing and computational geometry
    • Yagawa G, Yoshimura S, and Nakao K (1995), Automatic mesh generation of computer geometries based on fuzzy knowledge processing and computational geometry, Integrated Comput-Aided Eng 2, 265-280.
    • (1995) Integrated Comput-Aided Eng , vol.2 , pp. 265-280
    • Yagawa, G.1    Yoshimura, S.2    Nakao, K.3
  • 119
    • 0019053430 scopus 로고
    • Damage assessment of existing structures
    • Yao JTP (1980), Damage assessment of existing structures, J Eng Mech 106, 785-799.
    • (1980) J Eng Mech , vol.106 , pp. 785-799
    • Yao, J.1
  • 120
    • 0001927944 scopus 로고
    • Algebra of many-valued quantities
    • Young RC (1931), Algebra of many-valued quantities, Math Annaden 104, 260-290.
    • (1931) Math Annaden , vol.104 , pp. 260-290
    • Young, R.C.1
  • 121
    • 0347484652 scopus 로고
    • Sull due funzioni apiu valori constituite dai limiti d'una funzione di variabile reale a destra ed a sinistra di ciascun punto
    • Young WH (1908), Sull due funzioni apiu valori constituite dai limiti d'una funzione di variabile reale a destra ed a sinistra di ciascun punto, Rendiconti Accademia di Licei, Classe di Scienza Fiziche 5, 582-587.
    • (1908) Rendiconti Accademia Di Licei, Classe Di Scienza Fiziche , vol.5 , pp. 582-587
    • Young, W.H.1
  • 122
    • 0037970519 scopus 로고    scopus 로고
    • Fuzzy random reliability of structures based on fuzzy random variables
    • Yubin L, Zhong Q, and Guangyuan W (1997), Fuzzy random reliability of structures based on fuzzy random variables, Fuzzy Sets Syst 86 345-355.
    • (1997) Fuzzy Sets Syst , vol.86 , pp. 345-355
    • Yubin, L.1    Zhong, Q.2    Guangyuan, W.3
  • 123
    • 34248666540 scopus 로고
    • Fuzzy sets
    • Zadeh LA (1965), Fuzzy sets, Info Control 8, 338-353.
    • (1965) Info Control , vol.8 , pp. 338-353
    • Zadeh, L.A.1
  • 124
    • 0015558134 scopus 로고
    • Outline of a new approach to the analysis of complex systems and decision processes
    • SMC-3, 28-44
    • Zadeh LA (1973), Outline of a new approach to the analysis of complex systems and decision processes, IEEE Trans Syst Man Cybernetics SMC-3, 28-44.
    • (1973) IEEE Trans Syst Man Cybernetics
    • Zadeh, L.A.1
  • 126
    • 0026205091 scopus 로고
    • Solutions of algebraic equations involving generalized fuzzy numbers
    • Zhao R and Govind R (1991), Solutions of algebraic equations involving generalized fuzzy numbers. Info Sci 56, 199-243.
    • (1991) Info Sci , vol.56 , pp. 199-243
    • Zhao, R.1    Govind, R.2
  • 127
    • 0009450523 scopus 로고    scopus 로고
    • Hybrid probabilistic and convex modeling of excitation and response of periodic structures
    • Zhu LP and Elishakoff I (1996), Hybrid probabilistic and convex modeling of excitation and response of periodic structures. Math Prob Eng 2, 143-163.
    • (1996) Math Prob Eng , vol.2 , pp. 143-163
    • Zhu, L.P.1    Elishakoff, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.