메뉴 건너뛰기




Volumn 14, Issue 3, 1997, Pages 279-291

Crossing Rate Analysis with a Non-Gaussian Closure Method for Nonlinear Stochastic Systems

Author keywords

Mean upcrossing rate; Non Gaussian closure; Nonlinear stochastic systems; Tails

Indexed keywords

APPROXIMATION THEORY; FREQUENCY RESPONSE; NONLINEAR CONTROL SYSTEMS; PROBABILITY DENSITY FUNCTION; WHITE NOISE;

EID: 0031282027     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008240312071     Document Type: Article
Times cited : (8)

References (17)
  • 1
    • 0000696829 scopus 로고    scopus 로고
    • Crossing rate analysis of non-Gaussian response of linear systems
    • Pandey, M. D. and Ariaratnam, S. T., 'Crossing rate analysis of non-Gaussian response of linear systems', ASCE Journal of Engineering Mechanics 122(6), 1996, 507-511.
    • (1996) ASCE Journal of Engineering Mechanics , vol.122 , Issue.6 , pp. 507-511
    • Pandey, M.D.1    Ariaratnam, S.T.2
  • 2
    • 0024101651 scopus 로고
    • Nonlinear vibration models for extremes and fatigue
    • Winterstein, S. R., 'Nonlinear vibration models for extremes and fatigue', ASCE Journal of Engineering Mechanics 114(10), 1988, 1772-1790.
    • (1988) ASCE Journal of Engineering Mechanics , vol.114 , Issue.10 , pp. 1772-1790
    • Winterstein, S.R.1
  • 3
    • 0021407869 scopus 로고
    • Crossing of non-Gaussian translation processes
    • Grigoriu, M., 'Crossing of non-Gaussian translation processes', ASCE Journal of Engineering Mechanics 110(4), 1984, 610-620.
    • (1984) ASCE Journal of Engineering Mechanics , vol.110 , Issue.4 , pp. 610-620
    • Grigoriu, M.1
  • 5
  • 6
    • 0000147258 scopus 로고
    • Response of a nonlinear string to random loading
    • Caughey, T. K., 'Response of a nonlinear string to random loading', ASME Journal Applied Mechanics 26, 1959, 341-344.
    • (1959) ASME Journal Applied Mechanics , vol.26 , pp. 341-344
    • Caughey, T.K.1
  • 7
    • 0000052461 scopus 로고
    • Response of van der Pol oscillator to random excitation
    • Caughey, T. K., 'Response of van der Pol oscillator to random excitation', ASME Journal Applied Mechanics 26, 1959, 345-348.
    • (1959) ASME Journal Applied Mechanics , vol.26 , pp. 345-348
    • Caughey, T.K.1
  • 8
    • 0019476735 scopus 로고
    • Stochastic linearization in structural dynamics
    • Spanos, P. D., 'Stochastic linearization in structural dynamics', Applied Mechanics Review 34, 1981, 1-8.
    • (1981) Applied Mechanics Review , vol.34 , pp. 1-8
    • Spanos, P.D.1
  • 9
    • 0017982765 scopus 로고
    • Study of the random vibration of nonlinear systems by the Gaussian closure technique
    • Iyengar, R. N. and Dash, P. K., 'Study of the random vibration of nonlinear systems by the Gaussian closure technique', ASME Journal Applied Mechanics 45, 1978, 393-399.
    • (1978) ASME Journal Applied Mechanics , vol.45 , pp. 393-399
    • Iyengar, R.N.1    Dash, P.K.2
  • 10
    • 0028412962 scopus 로고
    • Analysis of nonlinear oscillators under stochastic excitation by the Fokker-Planck-Kolmogorov equation
    • Baratta, A. and Zuccaro G., 'Analysis of nonlinear oscillators under stochastic excitation by the Fokker-Planck-Kolmogorov equation', Nonlinear Dynamics 5, 1994, 255-271.
    • (1994) Nonlinear Dynamics , vol.5 , pp. 255-271
    • Baratta, A.1    Zuccaro, G.2
  • 11
    • 0023406598 scopus 로고
    • Cumulant-neglect closure method for nonlinear systems under random excitations
    • Sun, J.-Q. and Hsu, C. S., 'Cumulant-neglect closure method for nonlinear systems under random excitations', ASME Journal of Applied Mechanics 54, 1987, 649-655.
    • (1987) ASME Journal of Applied Mechanics , vol.54 , pp. 649-655
    • Sun, J.-Q.1    Hsu, C.S.2
  • 12
    • 0016941363 scopus 로고
    • Approximate analysis of non-linear stochastic systems
    • Assaf, S. A. and Zirkie, L. D., 'Approximate analysis of non-linear stochastic systems', International Journal of Control 23, 1976, 477-492.
    • (1976) International Journal of Control , vol.23 , pp. 477-492
    • Assaf, S.A.1    Zirkie, L.D.2
  • 13
    • 0000917821 scopus 로고
    • Non-Gaussian closure for random vibration of non-linear oscillators
    • Crandall, S. H., 'Non-Gaussian closure for random vibration of non-linear oscillators', International Journal of Non-Linear Mechanics 15, 1980, 303-313.
    • (1980) International Journal of Non-Linear Mechanics , vol.15 , pp. 303-313
    • Crandall, S.H.1
  • 14
    • 38249030717 scopus 로고
    • A new approximate solution technique for randomly excited non-linear oscillators
    • Cai, G. Q. and Lin, Y. K., 'A new approximate solution technique for randomly excited non-linear oscillators', International Journal of Non-Linear Mechanics 23, 1988, 409-420.
    • (1988) International Journal of Non-Linear Mechanics , vol.23 , pp. 409-420
    • Cai, G.Q.1    Lin, Y.K.2
  • 15
    • 0026946399 scopus 로고
    • A new approximate solution technique for randomly excited non-linear oscillators - II
    • Cai, G. Q., Lin, Y. K., and Elishakoff, I., 'A new approximate solution technique for randomly excited non-linear oscillators - II, International Journal of Non-Linear Mechanics 27, 1992, 969-979.
    • (1992) International Journal of Non-Linear Mechanics , vol.27 , pp. 969-979
    • Cai, G.Q.1    Lin, Y.K.2    Elishakoff, I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.