Stochastic direct integration schemes for dynamic systems subjected to random excitations

Probabilistic Engineering Mechanics - Tập 25 - Trang 163-171 - 2010
M. Tootkaboni1, L. Graham-Brady1
1Johns Hopkins University, Baltimore, MD, 21218, United States

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