Stochastic direct integration schemes for dynamic systems subjected to random excitations
Tài liệu tham khảo
Lutes, 1997
Soong, 1993
To, 1984, The response of nonlinear structures to nonstationary random excitation, Shock Vibration Dig, 16, 13, 10.1177/058310248401600405
To CWS. Nonstationary random response of nonlinear structures to nonstationary random excitation. In: Proceedings of second international conference on recent advances in structural dynamics. vol. 1. University of Southampton, 1984. p. 261–70
To, 1986, The stochastic central difference method in structural dynamics, Comput Struct, 23, 813, 10.1016/0045-7949(86)90250-6
To, 1992, A stochastic version of the Newmark family of algorithms for discretized dynamic systems, Comput Struct, 44, 667, 10.1016/0045-7949(92)90399-K
To, 1993, Recursive expressions for time dependent means and mean square responses of a multi-degree-of-freedom non-linear system, Comput Struct, 48, 993, 10.1016/0045-7949(93)90434-F
Liu, 1994, Adaptive time schemes for responses of non-linear multi-degree-of-freedom systems under random excitations, Comput Struct, 52, 563, 10.1016/0045-7949(94)90241-0
Miao, 1996, Recursive response analysis of structures subjected to nonwhite random excitation, Comput Struct, 61, 539, 10.1016/0045-7949(96)00057-0
Chen, 2005, Responses of discretized systems under narrow band nonstationary random excitations, Part 1: Linear problems, Sound Vib, 287, 433, 10.1016/j.jsv.2004.11.020
Bathe, 1996
Higham, 2002
Newland, 1996
Wirsching, 1995
Fukunaga, 1990
Rice, 1991, Estimating the mean and covariance structure nonparametrically when the data are curves, Royal Stat Soc Ser B (Methodological), 53, 233, 10.1111/j.2517-6161.1991.tb01821.x
Newmark, 1959, A method of computation for structural dynamics, J Engrg Mech (ASCE), 85, 67, 10.1061/JMCEA3.0000098
Humar, 1990
Ghanem, 2002
Dietrich, 1997, Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix, SIAM J Sci Comput, 18, 1088, 10.1137/S1064827592240555
Loeve, 1977
Ghanem, 1999, The nonlinear Gaussian spectrum of lognormal stochastic processes and variables, ASME J Appl Mech, 66, 964, 10.1115/1.2791806
Eberhard, 2006, Simulation of lognormal random fields with varying resolution scale and local average for Darcy flow, Comput Visual Sci, 9, 1, 10.1007/s00791-006-0012-2
Horn, 1999