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Volumn 21, Issue 4, 2006, Pages 442-453

The dimension-reduction strategy via mapping for probability density evolution analysis of nonlinear stochastic systems

Author keywords

Comprehensive random variable; Dimension reduction; Dynamical system; Mapping; Stochastic structures; The probability density evolution method

Indexed keywords

DYNAMIC RESPONSE; MAPPING; PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 33748286694     PISSN: 02668920     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.probengmech.2006.02.004     Document Type: Article
Times cited : (37)

References (28)
  • 4
    • 0031244944 scopus 로고    scopus 로고
    • A state-of-the-art report on computational stochastic mechanics
    • Schuëller G.I., et al. A state-of-the-art report on computational stochastic mechanics. Probabilistic Engineering Mechanics 12 4 (1997) 198-321
    • (1997) Probabilistic Engineering Mechanics , vol.12 , Issue.4 , pp. 198-321
    • Schuëller, G.I.1
  • 5
    • 0039400744 scopus 로고
    • Digital simulation of random process and its applications
    • Shinozuka M., and Jan C.-M. Digital simulation of random process and its applications. Journal of Sound and Vibration 25 1 (1972) 111-128
    • (1972) Journal of Sound and Vibration , vol.25 , Issue.1 , pp. 111-128
    • Shinozuka, M.1    Jan, C.-M.2
  • 6
    • 0032028275 scopus 로고    scopus 로고
    • Monte Carlo treatment of random fields: A broad perspective
    • Spanos P.D., and Zeldin B.A. Monte Carlo treatment of random fields: A broad perspective. Applied Mechanics Review 51 3 (1998) 219-237
    • (1998) Applied Mechanics Review , vol.51 , Issue.3 , pp. 219-237
    • Spanos, P.D.1    Zeldin, B.A.2
  • 8
    • 0025398776 scopus 로고
    • Polynomial chaos in stochastic finite elements
    • Ghanem R.G., and Spanos P.D. Polynomial chaos in stochastic finite elements. Journal of Applied Mechanics 57 March (1990) 197-202
    • (1990) Journal of Applied Mechanics , vol.57 , Issue.March , pp. 197-202
    • Ghanem, R.G.1    Spanos, P.D.2
  • 9
    • 0026867015 scopus 로고
    • Response of systems with uncertain parameters to stochastic excitation
    • Jensen H., and Iwan W.D. Response of systems with uncertain parameters to stochastic excitation. Journal of Engineering Mechanics 118 5 (1992) 1012-1025
    • (1992) Journal of Engineering Mechanics , vol.118 , Issue.5 , pp. 1012-1025
    • Jensen, H.1    Iwan, W.D.2
  • 10
    • 0342280027 scopus 로고
    • Expanded order system method for stochastic structural analysis
    • 15(4): 27-35 [in Chinese]
    • Li J. Expanded order system method for stochastic structural analysis. Earthquake Engineering and Engineering Vibration 15 3 (1995) 111-118 15(4): 27-35 [in Chinese]
    • (1995) Earthquake Engineering and Engineering Vibration , vol.15 , Issue.3 , pp. 111-118
    • Li, J.1
  • 13
    • 0035078969 scopus 로고    scopus 로고
    • Response analysis of stochastic parameter structures under non-stationary random excitation
    • Li J., and Liao S.T. Response analysis of stochastic parameter structures under non-stationary random excitation. Computational Mechanics 27 1 (2001) 61-68
    • (2001) Computational Mechanics , vol.27 , Issue.1 , pp. 61-68
    • Li, J.1    Liao, S.T.2
  • 14
    • 0003084746 scopus 로고    scopus 로고
    • Variational principles developed for and applied to analysis of stochastic beams
    • Elishakoff I., Ren Y.J., and Shinozuka M. Variational principles developed for and applied to analysis of stochastic beams. Journal of Engineering Mechanics 122 6 (1996) 559-565
    • (1996) Journal of Engineering Mechanics , vol.122 , Issue.6 , pp. 559-565
    • Elishakoff, I.1    Ren, Y.J.2    Shinozuka, M.3
  • 15
    • 0037063656 scopus 로고    scopus 로고
    • A new approach for the stochastic analysis of finite element modeled structures with uncertain parameters
    • Falsone G., and Impollonia N. A new approach for the stochastic analysis of finite element modeled structures with uncertain parameters. Computer Methods in Applied Mechanics and Engineering 191 (2002) 5067-5085
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 5067-5085
    • Falsone, G.1    Impollonia, N.2
  • 17
    • 0043133453 scopus 로고    scopus 로고
    • Stochastic properties of response for nonlinear structural systems with random parameters
    • Ma A.J., Chen S.H., and Han W.Z. Stochastic properties of response for nonlinear structural systems with random parameters. Computers & Structures 58 6 (1996) 1139-1144
    • (1996) Computers & Structures , vol.58 , Issue.6 , pp. 1139-1144
    • Ma, A.J.1    Chen, S.H.2    Han, W.Z.3
  • 18
    • 0030241474 scopus 로고    scopus 로고
    • On the dynamic response of non-linear systems with parameter uncertainty
    • Iwan W.D., and Huang C.T. On the dynamic response of non-linear systems with parameter uncertainty. International Journal of Non-Linear Mechanics 31 5 (1996) 631-645
    • (1996) International Journal of Non-Linear Mechanics , vol.31 , Issue.5 , pp. 631-645
    • Iwan, W.D.1    Huang, C.T.2
  • 20
    • 0141573319 scopus 로고    scopus 로고
    • A response surface approach for the static analysis of stochastic structures with geometrical nonlinearities
    • Impollonia N., and Sofi A. A response surface approach for the static analysis of stochastic structures with geometrical nonlinearities. Computer Methods in Applied Mechanics and Engineering 192 (2003) 4109-4129
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 4109-4129
    • Impollonia, N.1    Sofi, A.2
  • 21
    • 10044296323 scopus 로고    scopus 로고
    • Probability density evolution method for dynamic response analysis of structures with uncertain parameters
    • Li J., and Chen J.B. Probability density evolution method for dynamic response analysis of structures with uncertain parameters. Computational Mechanics 34 (2004) 400-409
    • (2004) Computational Mechanics , vol.34 , pp. 400-409
    • Li, J.1    Chen, J.B.2
  • 22
    • 31644439141 scopus 로고    scopus 로고
    • The probability density evolution method for dynamic response analysis of non-linear stochastic structures
    • Li J., and Chen J.B. The probability density evolution method for dynamic response analysis of non-linear stochastic structures. International Journal for Numerical Methods in Engineering 65 (2006) 882-903
    • (2006) International Journal for Numerical Methods in Engineering , vol.65 , pp. 882-903
    • Li, J.1    Chen, J.B.2
  • 23
    • 10844252154 scopus 로고    scopus 로고
    • Dynamic response and reliability analysis of nonlinear stochastic structures
    • Chen J.B., and Li J. Dynamic response and reliability analysis of nonlinear stochastic structures. Probabilistic Engineering Mechanics 20 1 (2005) 33-44
    • (2005) Probabilistic Engineering Mechanics , vol.20 , Issue.1 , pp. 33-44
    • Chen, J.B.1    Li, J.2
  • 24
    • 10844285840 scopus 로고
    • The equation for the integral of a system of ordinary differential equations containing random parameters
    • Dostupov B.G., and Pugachev V.S. The equation for the integral of a system of ordinary differential equations containing random parameters. Automatika i Telemekhanika 18 (1957) 620-630
    • (1957) Automatika i Telemekhanika , vol.18 , pp. 620-630
    • Dostupov, B.G.1    Pugachev, V.S.2
  • 26
    • 33748327227 scopus 로고    scopus 로고
    • Ai XQ. Seismic response and reliability evaluation of the underground pipelines based on stochastic ground motion model. Ph.D. thesis. Tongji University; 2005


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.