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Volumn 268, Issue 1, 2003, Pages 177-200

An improved criterion of Gaussian equivalent linearization for analysis of non-linear stochastic systems

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; LINEARIZATION; MARKOV PROCESSES; MONTE CARLO METHODS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; OSCILLATORS (MECHANICAL); PROBABILITY DENSITY FUNCTION; WHITE NOISE;

EID: 0242499456     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(03)00246-3     Document Type: Article
Times cited : (15)

References (24)
  • 1
    • 0000147258 scopus 로고
    • Response of a non-linear string to random loading
    • T.K. Caughey, Response of a non-linear string to random loading, Journal of Applied Mechanics 26 (1959) 341-344.
    • (1959) Journal of Applied Mechanics , vol.26 , pp. 341-344
    • Caughey, T.K.1
  • 2
    • 84919080627 scopus 로고
    • Application of statistical linearization techniques to non-linear multi-degree-of-freedom systems
    • W.D. Iwan, I.M. Yang, Application of statistical linearization techniques to non-linear multi-degree-of-freedom systems, Journal of Applied Mechanics 39 (1972) 545-550.
    • (1972) Journal of Applied Mechanics , vol.39 , pp. 545-550
    • Iwan, W.D.1    Yang, I.M.2
  • 3
    • 38249031753 scopus 로고
    • Higher order linearization in non-linear random vibration
    • R.N. Iyengar, Higher order linearization in non-linear random vibration, International Journal of Non-linear Mechanics 23 (1988) 385-391.
    • (1988) International Journal of Non-Linear Mechanics , vol.23 , pp. 385-391
    • Iyengar, R.N.1
  • 4
    • 0242472117 scopus 로고
    • Nonlinear random vibration of a two-degree-of-freedom system
    • in: F. Ziegler, G.I. Schueler (Eds.); Springer, Berlin
    • A. Scheurkogel, I. Elishakoff, Nonlinear random vibration of a two-degree-of-freedom system, in: F. Ziegler, G.I. Schueler (Eds.), Nonlinear Stochastic Engineering Systems, Springer, Berlin, 1988, pp. 285-299.
    • (1988) Nonlinear Stochastic Engineering Systems , pp. 285-299
    • Scheurkogel, A.1    Elishakoff, I.2
  • 6
    • 0007650976 scopus 로고
    • A stochastic linearization technique based on square deviation of potential energies
    • in: Y.K. Lin, I. Elishakoff (Eds.); New Theoretical Development; Springer, Berlin
    • X. Zhang, I. Elishakoff, R. Zhang, A stochastic linearization technique based on square deviation of potential energies, in: Y.K. Lin, I. Elishakoff (Eds.), Stochastic Structural Dynamics. New Theoretical Development, Vol. 1, Springer, Berlin, 1991, pp. 327-338.
    • (1991) Stochastic Structural Dynamics , vol.1 , pp. 327-338
    • Zhang, X.1    Elishakoff, I.2    Zhang, R.3
  • 7
    • 0029211410 scopus 로고
    • Prediction of extreme response of non-linear structures by extended stochastic linearization
    • A. Naess, Prediction of extreme response of non-linear structures by extended stochastic linearization, Probabilistic Engineering Mechanic 10 (1995) 153-160.
    • (1995) Probabilistic Engineering Mechanic , vol.10 , pp. 153-160
    • Naess, A.1
  • 9
    • 0031367131 scopus 로고    scopus 로고
    • New criterion for Gaussian equivalent linearization
    • N.D. Anh, W. Schiehlen, New criterion for Gaussian equivalent linearization, European Journal of Mechanics A/Solids 16 (6) (1997) 1025-1039.
    • (1997) European Journal of Mechanics A/Solids , vol.16 , Issue.6 , pp. 1025-1039
    • Anh, N.D.1    Schiehlen, W.2
  • 12
    • 0033528047 scopus 로고    scopus 로고
    • A technique for obtaining approximate solutions in Gaussian equivalent linearization
    • N.D. Anh, W. Schiehlen, A technique for obtaining approximate solutions in Gaussian equivalent linearization, Computer methods in Applied Mechanics and Engineering 168 (1999) 113-119.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.168 , pp. 113-119
    • Anh, N.D.1    Schiehlen, W.2
  • 16
    • 0242555757 scopus 로고    scopus 로고
    • Linearization of randomly excited non-linear systems by using local mean square error criterion
    • L.X. Hung, Linearization of randomly excited non-linear systems by using local mean square error criterion, Vietnam Journal of Mechanics, NCST of Vietnam 22 (2) (2000) 111-123.
    • (2000) Vietnam Journal of Mechanics, NCST of Vietnam , vol.22 , Issue.2 , pp. 111-123
    • Hung, L.X.1
  • 18
    • 85007651125 scopus 로고    scopus 로고
    • Analysis of exceedance probability of displacement response of randomly non-linear structures
    • L.X. Hung, Analysis of exceedance probability of displacement response of randomly non-linear structures, Vietnam Journal of Mechanics, NCST of Vietnam 22 (4) (2000) 212-224.
    • (2000) Vietnam Journal of Mechanics, NCST of Vietnam , vol.22 , Issue.4 , pp. 212-224
    • Hung, L.X.1
  • 21
    • 0242640519 scopus 로고
    • Error estimation of Gaussian closure for quasi-linear systems
    • Wen-Yao Jia, Tong Fang, Error estimation of Gaussian closure for quasi-linear systems, Acta Mechanica Solida Sinica 5(1) (1992) 27-33.
    • (1992) Acta Mechanica Solida Sinica , vol.5 , Issue.1 , pp. 27-33
    • Wen-Yao, J.1    Tong, F.2
  • 22
    • 0242472123 scopus 로고
    • Statistical linearization methods for prediction of extreme response of non-linear structures
    • G.I. Schue'ller, M. Shinozuka, J.T.P. Yao (Eds.); A.A. Balkema, Rotterdam
    • A. Naess, Statistical linearization methods for prediction of extreme response of non-linear structures, G.I. Schue'ller, M. Shinozuka, J.T.P. Yao (Eds.), Proceedings ICOSSAR'93, the Sixth International Conference on Structural Safety and Reliability, A.A. Balkema, Rotterdam, 1994, pp. 179-184.
    • (1994) Proceedings ICOSSAR'93, the Sixth International Conference on Structural Safety and Reliability , pp. 179-184
    • Naess, A.1
  • 23
    • 0031282027 scopus 로고    scopus 로고
    • Crossing rate analysis with a non-Gaussian closure method for non-linear stochastic systems
    • G.K. Er, Crossing rate analysis with a non-Gaussian closure method for non-linear stochastic systems, Nonlinear Dynamics 14 (1997) 279-291.
    • (1997) Nonlinear Dynamics , vol.14 , pp. 279-291
    • Er, G.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.