| [1] Stratonovitch R L, Romanovskii Y M. Parametric effect of a random force on linear and nonlinear oscillatory systems [A]. In:Kuznetsov P T, Stratonovitch R L, Tikhonov V I Eds. Nonlinear Trarslations of Stochastic Process [C]. Oxford:Pergamon, 1965, 16-26.
[2] Dimentberg M F, Isikov N E, Model R. Vibration of a system with cubic-non-linear damping and simultaneous periodic and random parametric excitation[J]. Mechanics of Solids, 1981, 16(1):19-21.
[3] Namachchivaya N S. Almost sure stability of dynamical systems under combined harmonic and stochastic excitations[J]. Journal of Sound and Vibration, 1991, 151(1):77-91.
[4] Ariaratnam S T, Tam D S F. Parametric random excitation of a damped Mathieu oscillator[J]. Z Aangew Math Mech, 1976, 56 (3):449-452.
[5] Dimentberg M F. Statistical Dynamics of Nonlinear and Time-Varying Systems[M]. New York:Wiley, 1988.
[6] RONG Hai-wu, XU Wei, FANG Tong. Principal response of Duffing oscillator to combined deterministic and narrow-band random parametric excitation[J]. Journal of Sound and Vibration, 1998, 210(4):483-515.
[7] Ariaratnam S T. Stochastic stability of linear viscoelastic systems [J]. Probabilistic Engineering Mechanics, 1993, 8(1):153-155.
[8] Cai G Q, Lin Y K, XU Wei. Strongly nonlinear system under non-white random excitations[A]. In:Spencer B F, Johnson E A Eds. Stochastic Structural Dynamic [C]. Rotterdam:A A Balkema, 1999, 11-16.
[9] Wedig W V. Invariant measures and Lyapunov exponents for generalized parameter fluctuations[J]. Structural Safety, 1990, 8 (1):13-25.
[10] Rajan S, Davies H G. Multiple time scaling of the response of a Duffing oscillator to narrow-band excitafions[J]. Journal of Sound and Vibration, 1988, 123(3):497-506.
[11] Nayfeh A H, Serhan S J. Response statistics of nonlinear systems to combined deterministic and random excitations [J]. International Journal of Nonlinear Mechanics, 1990, 25 (5):493-509.
[12] Shinozuka M. Simulation of multivariate and multidimensional random processes [J]. Journal of Sound and Vibration, 1971, 49(4):357-367.
[13] Shinozuka M. Digital simulation of random processes and its applications[J]. Journal of Sound and Vibration, 1972, 25(1):111-128. |
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