Some observations on the stochastic averaging method
Tài liệu tham khảo
Stratonovich, 1963, Vol. 1
Khasminskii, 1966, A limit theorem for the solutions of differential equations with random right-hand sides, Theory of Probability and Applications, 11, 390, 10.1137/1111038
Papanicolaou, 1974, Asymptotic theory of mixing stochastic ordinary differential equations, Communication on Pure and Applied Mathematics, 27, 641, 10.1002/cpa.3160270503
Ariaratnam, 1971, Stability of structures under stochastic disturbances, 78
Lennox, 1974, On the first-passage distribution for the envelope of a narrow band process, Journal of Applied Mechanics, 41, 793, 10.1115/1.3423390
Ariaratnam, 1976, Parametric random excitation of a damped Mathiou oscillator, Zeit. Angew. Math. u. Mech (ZAMM), 56, 449, 10.1002/zamm.19760561102
Ariaratnam, 1978, Parametric instabilities in elastic structures under stochastic loading, Journal of Structural Mechanics, 6, 349, 10.1080/03601217808907344
Lin, 1979, Rotor blade stability in turbulence flow, part I and part II, AIAA Journal, 17, 545, 10.2514/3.61175
Lin, 1979, Rotor blade stability in turbulence flow, part I and part II, AIAA Journal, 17, 673, 10.2514/3.61175
Spanos, 1982, Approximate analysis of random vibration through stochastic averaging, 327
Roberts, 1982, Effect of parametric excitation on ship rolling motion in random waves, Journal of Ship Research, 26, 246, 10.5957/jsr.1982.26.4.246
Ito, 1951, On stochastic differential equations, Memoris of the American Mathematical Society, 4, 51
Ito, 1951, On a formula concerning stochastic differentials, Nagoya Math. Journal, Japan, 3
Hong, 1984, Response of a wind turbine blade to seismic and turbulent wind excitations
Lin, 1981, Vertical seismic load effect on building response, Journal of Engineering Mechanics Division, ASCE, 107, 331