Stochastic linearization method with random parameters for SDOF nonlinear dynamical systems: prediction and identification procedures
Tài liệu tham khảo
Caughey, 1963, Equivalent linearization techniques, J. Acoustical Society America, 35, 1706, 10.1121/1.1918794
Lin, 1967
Crandall, 1978, Heuristic and equivalent linearization techniques for random vibration of nonlinear oscillators
Spanos, 1981, Stochastic linearization in structural dynamics, Applied Mechanics Reviews, 34, 1
Roberts, 1990
Elishakoff, 1993, Approximate solution for nonlinear random vibration problems by partial stochastic linearization, Probabilistic Engineering Mechanics, 8, 233, 10.1016/0266-8920(93)90017-P
Schueller, 1994, Equivalent linearization (EQL) in engineering practice for a seismic design, Probabilistic Engineering Mechanics, 9, 95, 10.1016/0266-8920(94)90033-7
Miles, 1989, An approximate solution for the spectral response of Duffing's oscillator with random input, J. Sound and Vibration, 132, 43, 10.1016/0022-460X(89)90869-9
Soize, 1991, Sur le calcul des densités spectrales des réponses stationnaires pour des systemes dynamiques stochastiques non-lineaires, 297
Soize, 1994, Stochastic linearization method with random parameters and power spectral density calculation, 217
Valery Roy, 1993, Power spectral density of nonlinear system response: the recursion method, Transactions of the ASME, 60, 358, 10.1115/1.2900801
Bouc, 1994, The power spectral density of response for a strongly non-linear random oscillation, J. Sound and Vibration, 175, 317, 10.1006/jsvi.1994.1331
Stratonovich, 1963, Vol. 1
Iwan, 1978, Response envelope statistics for nonlinear oscillators with random excitation, J. Applied Mechanics, ASME, 45
Roberts, 1978, The energy envelope of a randomly excited nonlinear oscillator, J. Sound and Vibration, 60, 177, 10.1016/S0022-460X(78)80027-3
Roberts, 1986, Stochastic averaging: an approximate method of solving random vibrational problems, Int. J. Non-Linear Mech., 21, 111, 10.1016/0020-7462(86)90025-9
Lin, 1986, Some observations on the stochastic averaging method, Probabilistic Engineering Mechanics, 1, 23, 10.1016/0266-8920(86)90006-8
Zhu, 1994, On improved stochastic averaging procedure, Probabilistic Engineering Mechanics, 9, 203, 10.1016/0266-8920(94)90006-X
Valery Roy, 1994, Stochastic averaging of oscillators excited by colored Gaussian processes, Int. J. Non-Linear Mechanics, 29, 463, 10.1016/0020-7462(94)90015-9
Soize, 1994
Bendat, 1990
Shinozuka, 1971, Simulation of multivariate and multidimensional random processes, J. Acoustical Society America, 49, 357, 10.1121/1.1912338
Crandall, 1963, Les vibrations for\̧'ees dans le systemes non lineaires, 148
Kozin, 1988, Structural parameter identification techniques, 137
Fillatre, 1991, Identification des systemes dynamiques faiblement non-lineaires a partir d'excitations aleatoires, Thèse de doctorat de Mécanique de l'Ecole Centrale Paris
Fillatre, 1992, Identification of weakly nonlinear dynamic systems by means of random excitations, La Recherche Aérospatiale, 3, 11
Lefur, 1995, Identification des systemes dynamiques multidimensionnels faiblement non-lineaires par une méthode de linéarization stochastique a parameters aleatoires, Thèse de doctorat de Mathématiques de l'Université Pierre et Marie Curie