Responses of weakly non-linear dynamical systems subjected to random parametric and external excitations

Journal of Sound and Vibration - Tập 113 - Trang 1-8 - 1987

Tài liệu tham khảo

Caughey, 1963, Derivation and application of the Fokker-Planck equation to discrete nonlinear dynamic systems subjected to white random excitation, Journal of the Acoustical Society of America, 35 Dimentberg, 1982, An exact solution to a certain non-linear random vibration problem, International Journal of Non-linear Mechanics, 17 Crandall, 1980, Non-Gaussian closure for random vibration of non-linear oscillators, International Journal of Non-linear Mechanics, 15, 4, 10.1016/0020-7462(80)90015-3 Ohta, 1974, Output probability of a vibration system with an arbitrary non-linear element and random input, Journal of Sound and Vibration, 36, 313, 10.1016/S0022-460X(74)80213-0 Crandall, 1983, Random vibration: a survey of recent developments, Journal of Applied Mechanics, 50, 953, 10.1115/1.3167208 Caughey, 1963, Equivalent linearization techniques, Journal of the Acoustical Society of America, 35 Crandall, 1963, Perturbation techniques for random vibration of nonlinear systems, Journal of the Acoustical Society of America, 35 Mitropolski, 1976, Application of asymptotic method to stochastic systems, Approximate Methods for Studying Nonlinear Systems Khasminski, 1969 Gikhman, 1969 Novikov, 1965, Functionals and methods of random forces in the theory of turbulence, Soviet Physics, 20, 1290 Menh, 1982, The Gaussian closure technique in theory of the random vibration of weakly nonlinear systems, Prace Instytut Podstaw Budowy Maszyn PW n. 13 Menh, 1985, On the investigation of stochastic dynamic systems, Zeitschrift fur angewandte Mathematik und Mechanik