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Volumn 14, Issue 3, 1999, Pages 229-244

Analysis of multi-degree of freedom strongly non-linear mechanical systems with random input. Part I: non-linear modes and stochastic averaging

(2)  Bellizzi, S a   Bouc, R a  

a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; FREQUENCIES; LINEARIZATION; MATHEMATICAL TRANSFORMATIONS; MONTE CARLO METHODS; NONLINEAR SYSTEMS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; VECTORS; VELOCITY; VIBRATIONS (MECHANICAL);

EID: 0033165086     PISSN: 02668920     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0266-8920(98)00007-1     Document Type: Article
Times cited : (41)

References (25)
  • 1
    • 0000393826 scopus 로고
    • Perturbation techniques for random vibration of nonlinear systems
    • Crandall S. Perturbation techniques for random vibration of nonlinear systems. Journal of the Acoustical Society of America. 35(2):1963;1700-1705.
    • (1963) Journal of the Acoustical Society of America , vol.35 , Issue.2 , pp. 1700-1705
    • Crandall, S.1
  • 2
    • 0342904825 scopus 로고
    • The Fokker-Planck equation for stochastic dynamical systems and its explicit steady state solutions
    • World Scientific
    • Soize C. The Fokker-Planck equation for stochastic dynamical systems and its explicit steady state solutions, vol. 17. In: Advances in mathematics for applied sciences. World Scientific, 1994.
    • (1994) In: Advances in Mathematics for Applied Sciences , vol.17
    • Soize, C.1
  • 3
    • 0022563269 scopus 로고
    • Stochastic averaging: An approximate method of solving random vibration problems
    • Roberts J., Spanos P. Stochastic averaging: an approximate method of solving random vibration problems. International Journal of Non-Linear Mechanics. 21(2):1986;111-134.
    • (1986) International Journal of Non-Linear Mechanics , vol.21 , Issue.2 , pp. 111-134
    • Roberts, J.1    Spanos, P.2
  • 4
    • 0002330836 scopus 로고
    • The method of statistical linearization for nonlinear stochastic vibrations
    • In: Ziegler F., Schueller G.I., editors Berlin: Springer Verlag
    • Kozin F. The method of statistical linearization for nonlinear stochastic vibrations. In: Ziegler F., Schueller G.I., editors. Nonlinear stochastic dynamic engineering systems. Berlin: Springer Verlag, 1988:45-56.
    • (1988) Nonlinear Stochastic Dynamic Engineering Systems , pp. 45-56
    • Kozin, F.1
  • 6
    • 0345116929 scopus 로고
    • Random forcing of nonlinear systems
    • Paris: Editions du Centre National de la Recherche Scientifique
    • Crandall S. Random forcing of nonlinear systems. In: Les vibrations forcées dans les systèmes non-linéaires, vol. 148. Paris: Editions du Centre National de la Recherche Scientifique, 1965:57-68.
    • (1965) In: Les Vibrations Forcées Dans Les Systèmes Non-linéaires , vol.148 , pp. 57-68
    • Crandall, S.1
  • 7
    • 0024964888 scopus 로고
    • An approximation solution for spectral response of Duffing's oscillator with random input
    • Miles R. An approximation solution for spectral response of Duffing's oscillator with random input. Journal of Sound and Vibration. 132(1):1989;43-49.
    • (1989) Journal of Sound and Vibration , vol.132 , Issue.1 , pp. 43-49
    • Miles, R.1
  • 8
    • 0027594044 scopus 로고
    • Spectral response of a bilinear oscillator
    • Miles R. Spectral response of a bilinear oscillator. Journal of Sound and Vibration. 163(2):1993;319-326.
    • (1993) Journal of Sound and Vibration , vol.163 , Issue.2 , pp. 319-326
    • Miles, R.1
  • 11
    • 0028479626 scopus 로고
    • The power spectral density of response for a strongly nonlinear random oscillator
    • Bouc R. The power spectral density of response for a strongly nonlinear random oscillator. Journal of Sound and Vibration. 175(3):1994;317-331.
    • (1994) Journal of Sound and Vibration , vol.175 , Issue.3 , pp. 317-331
    • Bouc, R.1
  • 13
    • 0017944471 scopus 로고
    • Response envelope statistics for nonlinear oscillators with random excitation
    • Iwan W.D., Spanos P. Response envelope statistics for nonlinear oscillators with random excitation. Transaction of the ASME. 45:1978;170-174.
    • (1978) Transaction of the ASME , vol.45 , pp. 170-174
    • Iwan, W.D.1    Spanos, P.2
  • 14
    • 0001546506 scopus 로고
    • Stochastic linearization method with random parameters for SDOF nonlinear dynamical systems: Prediction and identification procedures
    • Soize C. Stochastic linearization method with random parameters for SDOF nonlinear dynamical systems: prediction and identification procedures. Probabilistic Engineering Mechanics. 10(3 special issue):1995;143-152.
    • (1995) Probabilistic Engineering Mechanics , vol.10 , Issue.3 SPEC. ISSUE , pp. 143-152
    • Soize, C.1
  • 15
    • 0030786207 scopus 로고    scopus 로고
    • Modal identification of weakly nonlinear multidimensional dynamical systems using a stochastic linearization method with random coefficients
    • Soize C., LeFur O. Modal identification of weakly nonlinear multidimensional dynamical systems using a stochastic linearization method with random coefficients. Mechanical Systems and Signal Processing. 11(1):1997;37-49.
    • (1997) Mechanical Systems and Signal Processing , vol.11 , Issue.1 , pp. 37-49
    • Soize, C.1    Lefur, O.2
  • 16
    • 0345116959 scopus 로고
    • Spectre de puissance de systémes non-linéaires vibrants sous sollicitations aléatoires
    • Giens, France, 16-19 May 1995. Paris: Editions Hermès
    • Bellizzi S., Bouc R. Spectre de puissance de systémes non-linéaires vibrants sous sollicitations aléatoires. In: Second colloque national en calcul des structures, Giens, France, 16-19 May 1995. Paris: Editions Hermès, 1995.
    • (1995) In: Second Colloque National en Calcul des Structures
    • Bellizzi, S.1    Bouc, R.2
  • 17
    • 0342963970 scopus 로고    scopus 로고
    • Spectral response of nonlinear multidimensional mechanical systems under random excitation
    • Hanoi: National Center of Natural Science and Technology
    • Bellizzi S., Bouc R. Spectral response of nonlinear multidimensional mechanical systems under random excitation. In: Nonlinear stochastic dynamics. Hanoi: National Center of Natural Science and Technology 1996:39-48.
    • (1996) In: Nonlinear Stochastic Dynamics , pp. 39-48
    • Bellizzi, S.1    Bouc, R.2
  • 20
    • 0001729538 scopus 로고
    • Analysis of linear nonconservative vibrations
    • Ma F., Caughey T. Analysis of linear nonconservative vibrations. Journal of Applied Mechanics. 62:1995;685-691.
    • (1995) Journal of Applied Mechanics , vol.62 , pp. 685-691
    • Ma, F.1    Caughey, T.2
  • 21
    • 0003649677 scopus 로고
    • Analytical methods in vibrations
    • London: The Macmillan Company, Collier-Macmillan Ltd
    • Meirovitch M. Analytical methods in vibrations. Macmillan series in applied mechanics. London: The Macmillan Company, Collier-Macmillan Ltd, 1967.
    • (1967) Macmillan Series in Applied Mechanics
    • Meirovitch, M.1
  • 24
    • 0000850179 scopus 로고
    • Asymptotic analysis of PDEs with wide-band disturbances and expansion of the moments
    • Bouc R., Pardoux E. Asymptotic analysis of PDEs with wide-band disturbances and expansion of the moments. Stochastic Analysis and Applications. 2(4):1984;369-422.
    • (1984) Stochastic Analysis and Applications , vol.2 , Issue.4 , pp. 369-422
    • Bouc, R.1    Pardoux, E.2
  • 25
    • 0040422811 scopus 로고
    • Asymptotic analysis of stochastic equations
    • In: Rosenblatt M., editor MAA Studies in Mathematics. M.A.A.
    • Papanicolaou G. Asymptotic analysis of stochastic equations. In: Rosenblatt M., editor. Studies in probability theory, vol. 18, MAA Studies in Mathematics. M.A.A., 1978:111-179.
    • (1978) Studies in Probability Theory , vol.18 , pp. 111-179
    • Papanicolaou, G.1


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