메뉴 건너뛰기




Volumn 29, Issue 2, 2007, Pages 77-93

The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters

Author keywords

Dynamic reliability; Nonlinear stochastic structures; Random sampling; The extreme value distribution; Virtual stochastic process

Indexed keywords

ALGORITHMS; INTEGRATION; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; RELIABILITY;

EID: 33845961164     PISSN: 01674730     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.strusafe.2006.02.002     Document Type: Article
Times cited : (333)

References (36)
  • 2
    • 0029104872 scopus 로고
    • Estimation of the minimum pressure coefficient due to gusts
    • Cheong H.F. Estimation of the minimum pressure coefficient due to gusts. Struct Saf 17 (1995) 1-16
    • (1995) Struct Saf , vol.17 , pp. 1-16
    • Cheong, H.F.1
  • 3
    • 0030913377 scopus 로고    scopus 로고
    • Modelling and statistical analysis of ocean-wave data using transformed Gaussian process
    • Rychlik I., Johannesson P., and Leadbetter M.R. Modelling and statistical analysis of ocean-wave data using transformed Gaussian process. Mar Struct 10 (1997) 13-47
    • (1997) Mar Struct , vol.10 , pp. 13-47
    • Rychlik, I.1    Johannesson, P.2    Leadbetter, M.R.3
  • 4
    • 84958156266 scopus 로고
    • Limiting forms of the frequency distribution of the largest and smallest member of a sample
    • Fisher R.A., and Tippett L.H.C. Limiting forms of the frequency distribution of the largest and smallest member of a sample. Proc Cambridge Phil Soc 24 (1928) 180-190
    • (1928) Proc Cambridge Phil Soc , vol.24 , pp. 180-190
    • Fisher, R.A.1    Tippett, L.H.C.2
  • 6
    • 13444268335 scopus 로고
    • On the fatigue failure of structures due to vibration excited by random pressure fields
    • Powell A. On the fatigue failure of structures due to vibration excited by random pressure fields. J Acoust Soc Am 30 12 (1958) 1130-1135
    • (1958) J Acoust Soc Am , vol.30 , Issue.12 , pp. 1130-1135
    • Powell, A.1
  • 7
    • 0021407869 scopus 로고
    • Crossings of non-Gaussian translation process
    • Grigoriu M. Crossings of non-Gaussian translation process. J Eng Mech 110 4 (1984) 610-620
    • (1984) J Eng Mech , vol.110 , Issue.4 , pp. 610-620
    • Grigoriu, M.1
  • 8
    • 0003113147 scopus 로고    scopus 로고
    • Simulation of stationary non-Gaussian translation processes
    • Grigoriu M. Simulation of stationary non-Gaussian translation processes. J Eng Mech 124 2 (1998) 121-126
    • (1998) J Eng Mech , vol.124 , Issue.2 , pp. 121-126
    • Grigoriu, M.1
  • 9
    • 0000011111 scopus 로고    scopus 로고
    • Equivalent statistical quadratization and cubicization for nonlinear system
    • Tognarelli M.A., Zhao J., Rao K.B., and Kareem A. Equivalent statistical quadratization and cubicization for nonlinear system. J Eng Mech 123 5 (1997) 512-523
    • (1997) J Eng Mech , vol.123 , Issue.5 , pp. 512-523
    • Tognarelli, M.A.1    Zhao, J.2    Rao, K.B.3    Kareem, A.4
  • 10
    • 0014808846 scopus 로고
    • First-crossing probability of the linear oscillator
    • Crandall S.H. First-crossing probability of the linear oscillator. J Sound Vib 12 (1970) 285-299
    • (1970) J Sound Vib , vol.12 , pp. 285-299
    • Crandall, S.H.1
  • 11
    • 0033528041 scopus 로고    scopus 로고
    • Dynamic response and reliability analysis of large offshore structures
    • Kawano K., and Venkataramana K. Dynamic response and reliability analysis of large offshore structures. Comput Methods Appl Mech Eng 168 (1999) 255-272
    • (1999) Comput Methods Appl Mech Eng , vol.168 , pp. 255-272
    • Kawano, K.1    Venkataramana, K.2
  • 12
    • 0031094420 scopus 로고    scopus 로고
    • Study on dynamic reliability analysis of the structures with multi-degree-of-freedom
    • Chen J.J., Duan B.Y., and Zeng Y.G. Study on dynamic reliability analysis of the structures with multi-degree-of-freedom. Comput Struct 62 5 (1997) 877-881
    • (1997) Comput Struct , vol.62 , Issue.5 , pp. 877-881
    • Chen, J.J.1    Duan, B.Y.2    Zeng, Y.G.3
  • 13
    • 84939730902 scopus 로고
    • Mathematical analysis of random noise
    • Rice S.O. Mathematical analysis of random noise. Bell Sys Tech J 23 (1944) 282-332
    • (1944) Bell Sys Tech J , vol.23 , pp. 282-332
    • Rice, S.O.1
  • 18
    • 84950354697 scopus 로고
    • On the intersections between the trajectories of a normal stationary stochastic process and a high level
    • Cramer H. On the intersections between the trajectories of a normal stationary stochastic process and a high level. Arkiv fur Matematik 6 (1966) 337-349
    • (1966) Arkiv fur Matematik , vol.6 , pp. 337-349
    • Cramer, H.1
  • 19
    • 0015331314 scopus 로고
    • Properties of spectral moments with applications to random vibration
    • Vanmarcke E.H. Properties of spectral moments with applications to random vibration. J Eng Mech Div, ASCE 98 (1972) 425-446
    • (1972) J Eng Mech Div, ASCE , vol.98 , pp. 425-446
    • Vanmarcke, E.H.1
  • 20
    • 0023863630 scopus 로고
    • Reliability of uncertain linear and nonlinear systems
    • Spencer Jr. B.F., and Elishakoff I. Reliability of uncertain linear and nonlinear systems. J Eng Mech 114 1 (1988) 135-149
    • (1988) J Eng Mech , vol.114 , Issue.1 , pp. 135-149
    • Spencer Jr., B.F.1    Elishakoff, I.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. Comput Mech 34 (2004) 400-409
    • (2004) Comput Mech , 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. Int J Numer Methods Eng 65 (2006) 882-903
    • (2006) Int J Numer Methods Eng , 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. Probabilist Eng Mech 20 (2005) 33-44
    • (2005) Probabilist Eng Mech , vol.20 , 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
  • 28
    • 31544475389 scopus 로고    scopus 로고
    • The mapping-based dimension-reduction algorithm for probability density evolution analysis of stochastic structural responses (in Chinese)
    • Li J., and Chen J.B. The mapping-based dimension-reduction algorithm for probability density evolution analysis of stochastic structural responses (in Chinese). Chinese J Theor Appl Mech 37 4 (2005) 460-466
    • (2005) Chinese J Theor Appl Mech , vol.37 , Issue.4 , pp. 460-466
    • Li, J.1    Chen, J.B.2
  • 29
    • 33845929589 scopus 로고    scopus 로고
    • Li J, Chen JB. Stochastic seismic response analysis and reliability evaluation of hysteretic structures. In: Lü ZT et al., editors, Innovation and sustainability of structures. Proceedings of the international symposium on innovation and sustainability of structures in civil engineering, November 20-22, 2005, Nanjing, PR China. Invited paper, 218-230, Southeast University Press.
  • 32
    • 0032023748 scopus 로고    scopus 로고
    • Three versions of the finite element method based on concepts of either stochasticity, fuzziness, or anti-optimization
    • Elishakoff I. Three versions of the finite element method based on concepts of either stochasticity, fuzziness, or anti-optimization. Appl Mech Rev 51 3 (1998) 209-218
    • (1998) Appl Mech Rev , vol.51 , Issue.3 , pp. 209-218
    • Elishakoff, I.1
  • 33
    • 33845948836 scopus 로고    scopus 로고
    • Bouc R. Forced vibration of mechanical systems with hysteresis. In: Proceedings of the 4th conference on nonlinear oscillations, Prague, Czechoslovakia; 1967, p. 315.
  • 34
    • 0016939287 scopus 로고
    • Method for random vibration of hysteretic systems
    • Wen Y.K. Method for random vibration of hysteretic systems. J Eng Mech 102 2 (1976) 249-263
    • (1976) J Eng Mech , vol.102 , Issue.2 , pp. 249-263
    • Wen, Y.K.1
  • 35
    • 0001325324 scopus 로고
    • A new family of explicit time integration methods for linear and nonlinear structural dynamics
    • Chung J., and Lee J.M. A new family of explicit time integration methods for linear and nonlinear structural dynamics. Int J Numer Methods Eng 37 (1994) 3961-3976
    • (1994) Int J Numer Methods Eng , vol.37 , pp. 3961-3976
    • Chung, J.1    Lee, J.M.2
  • 36
    • 0022719849 scopus 로고
    • Probability finite elements for nonlinear structural dynamics
    • Liu W.K., Belytschko T., and Mani A. Probability finite elements for nonlinear structural dynamics. Comput Methods Appl Mech Eng 56 (1986) 61-81
    • (1986) Comput Methods Appl Mech Eng , vol.56 , pp. 61-81
    • Liu, W.K.1    Belytschko, T.2    Mani, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.