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Volumn 7B-1999, Issue , 1999, Pages 2733-2747

Exact stationary response solutions of nine classes of nonlinear stochastic systems under stochastic parametric and external excitations

Author keywords

[No Author keywords available]

Indexed keywords

FOKKER PLANCK EQUATION; GAUSSIAN NOISE (ELECTRONIC); NONLINEAR SYSTEMS; PROBABILITY; PROBABILITY DENSITY FUNCTION; VIBRATIONS (MECHANICAL); WHITE NOISE;

EID: 85101170584     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc99-vib-8096     Document Type: Conference Paper
Times cited : (6)

References (28)
  • 1
    • 0001553320 scopus 로고
    • Analysis of nonlinear stochastic systems by means of the Fokker-Plank equation"
    • Fuller, A. T., 1969, "Analysis of nonlinear stochastic systems by means of the Fokker-Plank equation", Int. J. Control, Vol.9, 603-655
    • (1969) Int. J. Control , vol.9 , pp. 603-655
    • Fuller, A. T.1
  • 2
    • 0024071522 scopus 로고
    • Exact stationary-response solution for second order nonlinear systems under parametric and external white-noise excitations
    • Lin. Y.K and Cai, G.Q., 1988, "Exact stationary-response solution for second order nonlinear systems under parametric and external white-noise excitations".Part. J. Appi. Meeh. ASME, 55, 702-705.
    • (1988) Part. J. Appi. Meeh. ASME , vol.55 , pp. 702-705
    • Lin, . Y.K1    Cai, G.Q.2
  • 3
    • 0020186377 scopus 로고
    • The steady-state response of a class of dynamical systems to stochastic excitation
    • Caughey, T.K and Ma, F., 1982, "The steady-state response of a class of dynamical systems to stochastic excitation". J. Appi. Meeh., 49, 629-632.
    • (1982) J. Appi. Meeh , vol.49 , pp. 629-632
    • Caughey, T.K1    Ma, F.2
  • 4
    • 0020301816 scopus 로고
    • Exact steady-state solutions of a class of nonlinear stochastic systems
    • Caughey, T;K and Ma, F., 1982, "Exact steady-state solutions of a class of nonlinear stochastic systems." Int. J. Nonlinear mech., 17(3), 137-142.
    • (1982) Int. J. Nonlinear mech , vol.17 , Issue.3 , pp. 137-142
    • Caughey, T;K1    Ma, F.2
  • 5
    • 0020298518 scopus 로고
    • An exact solution to a certain nonlinear random vibration problem
    • Dimentberg, M. F., 1982, "An exact solution to a certain nonlinear random vibration problem". Int. J. Nonlinear Meeh., 17, 231-236.
    • (1982) Int. J. Nonlinear Meeh , vol.17 , pp. 231-236
    • Dimentberg, M. F.1
  • 6
    • 0024071522 scopus 로고
    • Exact stationary-response solution for second order nonlinear systems under parametric and external white-noise excitations
    • Yong, Y and Lin, Y.K., 1987, "Exact stationary-response solution for second order nonlinear systems under parametric and external white-noise excitations". J. Appi. Meeh. ASME, 55, pp. 702-705.
    • (1987) J. Appi. Meeh. ASME , vol.55 , pp. 702-705
    • Yong, Y1    Lin, Y.K.2
  • 7
    • 38249028432 scopus 로고
    • Steady-state solution of Fokker-Planck equation in High Dimension
    • Soize, C., 1988, "Steady-state solution of Fokker-Planck equation in High Dimension". Probabilistic Engineering Meeh., Vol. 3, 196-206
    • (1988) Probabilistic Engineering Meeh , vol.3 , pp. 196-206
    • Soize, C.1
  • 8
    • 0026207597 scopus 로고
    • Exact stationary responses of Multi-Dimensional nonlinear Hamiltonian dynamical systems under parametric and external stochastic excitations
    • Soize, C., 1991, "Exact stationary responses of Multi-Dimensional nonlinear Hamiltonian dynamical systems under parametric and external stochastic excitations". J. Sound and Vibration, Vol. 149, 1-24.
    • (1991) J. Sound and Vibration , vol.149 , pp. 1-24
    • Soize, C.1
  • 9
    • 34249957292 scopus 로고
    • Txact solutions for stationary response of several classes of nonlinear systems to parametric and/or external white noise excitations
    • Zhu, W.Q., 1990, Txact solutions for stationary response of several classes of nonlinear systems to parametric and/or external white noise excitations." Appi. Math. Meeh;11, 165-175.
    • (1990) Appi. Math. Meeh , vol.11 , pp. 165-175
    • Zhu, W.Q.1
  • 10
    • 0002872291 scopus 로고
    • Exact stationary solutions of stochastically perturbed Hamiltonian systems
    • Zhu, W.Q., Cai, G.Q and Lin, YK, 1990, "Exact stationary solutions of stochastically perturbed Hamiltonian systems". Probabilistic Engineering Meeh., Vo.5, 84-87
    • (1990) Probabilistic Engineering Meeh , vol.5 , pp. 84-87
    • Zhu, W.Q.1    Cai, G.Q2    Lin, YK3
  • 11
    • 0002261446 scopus 로고
    • Stochastically excited Hamiltonian systems."
    • Cai. G.Q and, N, Bellomo and F. Casiati, eds.. Springer-Verlag, Berlin
    • Zhu, W.Q., Cai. G.Q and Lin, Y.K., 1992, "Stochastically excited Hamiltonian systems." Nonlinear Stochastic Mechanics, N, Bellomo and F. Casiati, eds.. Springer-Verlag, Berlin, 543-552
    • (1992) Nonlinear Stochastic Mechanics , pp. 543-552
    • Zhu, W.Q.1    Lin, Y.K.2
  • 13
    • 0000216597 scopus 로고    scopus 로고
    • Exact Stationary Solutions of Stochastically Excited and Dissipated Integrable Hamiltonian Systems
    • Zhu, W.Q and Y.Q. Yang., 1996, "Exact Stationary Solutions of Stochastically Excited and Dissipated Integrable Hamiltonian Systems". J. Appi. Meeh., Transaction of the ASME. Vol.63, 493-500
    • (1996) J. Appi. Meeh., Transaction of the ASME , vol.63 , pp. 493-500
    • Zhu, W.Q1    Yang, Y.Q.2
  • 14
    • 0031552902 scopus 로고    scopus 로고
    • 'Exact stationary probability density for second -order nonlinear systems under external white noise excitation
    • Wang R and Yasuda K., 1997, *'Exact stationary probability density for second -order nonlinear systems under external white noise excitation". J. Sound and Vibration. 205(5), pp. 647-655
    • (1997) J. Sound and Vibration , vol.205 , Issue.5 , pp. 647-655
    • Wang, R1    Yasuda, K.2
  • 15
    • 0343963990 scopus 로고    scopus 로고
    • Exact stationary response solutions of six classes of nonlinear stochastic systems under stochastic parametric and external excitations
    • Wang R and Zhang Z., 1998, "Exact stationary response solutions of six classes of nonlinear stochastic systems under stochastic parametric and external excitations". J. Engineering Mechanics, ASCE. Vol. 18, pp. 18-23
    • (1998) J. Engineering Mechanics, ASCE , vol.18 , pp. 18-23
    • Wang, R1    Zhang, Z.2
  • 16
    • 0030243199 scopus 로고    scopus 로고
    • Exact and approximate solutions for randomly excited MDOF non-linear systems
    • Cai, G.Q and Lin, Y.K., 1996, "■Exact and approximate solutions for randomly excited MDOF non-linear systems". Int. J. Non-Linear Meeh., Vol. 31, No.5. 647-655.
    • (1996) Int. J. Non-Linear Meeh , vol.31 , Issue.5 , pp. 647-655
    • Cai, G.Q1    Lin, Y.K.2
  • 20
    • 0031641514 scopus 로고    scopus 로고
    • 'On joint stationary probabikity density function of nonlinear dynamic systems
    • Springer-Verlag
    • Zhang, Z., Wang, R and Yasuda, K., 1998, "'On joint stationary probabikity density function of nonlinear dynamic systems". ACTA MECHANICA. Springer-Verlag, 130, 29-39
    • (1998) ACTA MECHANICA , vol.130 , pp. 29-39
    • Zhang, Z.1    Wang, R2    Yasuda, K.3
  • 21
    • 0023210059 scopus 로고
    • Application of complex stochastic averaging to non-linear random vibration problems"
    • Bruckner. A and
    • Bruckner. A and Lin, Y. K., 1987, Application of complex stochastic averaging to non-linear random vibration problems". Int. J. Non-Linear Mechanics. Vol.22. No.3. pp237-250
    • (1987) Int. J. Non-Linear Mechanics , vol.22 , Issue.3 , pp. pp237-pp250
    • Lin, Y. K.1
  • 22
    • 0026946399 scopus 로고
    • A new approximate solution technique for randomly excited non-linear oscillators-"
    • Cai, G. Q., Lin, Y.K and Elishakoff., 1992, "A new approximate solution technique for randomly excited non-linear oscillators-". Int. J. Non-Linear Mechanics. Vol.27, No.6. pp969-979
    • (1992) Int. J. Non-Linear Mechanics , vol.27 , Issue.6 , pp. pp969-pp979
    • Cai, G. Q.1    Lin, Y.K2    Elishakoff3
  • 23
    • 38249030717 scopus 로고
    • A new approximate solution technique for randomly excited non-linear oscillators
    • 6
    • Cai, G.Q and Lin, Y.K., 1992, "A new approximate solution technique for randomly excited non-linear oscillators". Int.J.Non-Linear Mechanics. Vol.23, No.5/6. PP409-420
    • (1992) Int.J.Non-Linear Mechanics , vol.23 , Issue.5 , pp. PP409-PP420
    • Cai, G.Q1    Lin, Y.K.2
  • 24
    • 0000918756 scopus 로고
    • A mathematical model applied in the analysis of nonlinear vibration
    • Zhou, S.. 1995, "A mathematical model applied in the analysis of nonlinear vibration". Shanghai Journal of Mechanics. Vol. 16, No.4, 353-367
    • (1995) Shanghai Journal of Mechanics , vol.16 , Issue.4 , pp. 353-367
    • Zhou, S.1
  • 25
    • 0003065404 scopus 로고    scopus 로고
    • 'Self-excited vibrations induced by friction between rubber and glass in sliding contact
    • pp285-288
    • Suzuki, R and Yasuda, K., 1998, "'Self-excited vibrations induced by friction between rubber and glass in sliding contact". Proceeding, Dynamics and Design Conference (Japan). pp285-288
    • (1998) Proceeding, Dynamics and Design Conference (Japan)
    • Suzuki, R1    Yasuda, K.2
  • 26
    • 0002456449 scopus 로고    scopus 로고
    • 'On the chaotic vibration of a repulsive maglev vehicle with secondary suspension
    • pp315-318
    • Xu, Z., Tamura, H and Seto, K., 1998, *'On the chaotic vibration of a repulsive maglev vehicle with secondary suspension". Proceeding, Dynamics and Design Conference (Japan). pp315-318
    • (1998) Proceeding, Dynamics and Design Conference (Japan)
    • Xu, Z.1    Tamura, H2    Seto, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.