GAO Shi-qiao, JIN Lei, M. Kasperski, LIU Hai-peng, LI Ming-hui. Nonlinear Analysis of a Structure Loaded by a Stochastic Excitation[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1318-1324.
Citation: GAO Shi-qiao, JIN Lei, M. Kasperski, LIU Hai-peng, LI Ming-hui. Nonlinear Analysis of a Structure Loaded by a Stochastic Excitation[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1318-1324.

Nonlinear Analysis of a Structure Loaded by a Stochastic Excitation

  • Received Date: 2006-06-06
  • Rev Recd Date: 2007-08-20
  • Publish Date: 2007-11-15
  • For a non-linear system excited by a stochastic load which is expressed as a time series, a recursive method based on the Z-transform was presented. To identify the obtained response time series, a discrete wavelet transform (DWT) technique was proposed.
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  • [1]
    Sobczyk K.Stochastic analysis of one-dimensional nonlinear wave processes[A].In: Ziegler F, Schueller G I Eds.Proc IUTAM Symp in Innsbruck. Nonlinear Stochastic Dynamic Engineering Systems[C].Austria:Springer-Verlag, 1988, 313-320.
    [2]
    Gao S Q, Niemann H J.A method of iteration linearization to solve the nonlinear stochastic vibration problems[J].Comm in Num Meth in Engng,1994,10(1):67-72. doi: 10.1002/cnm.1640100108
    [3]
    高世桥, 金磊, H J 尼曼,等.考虑旋转壳几何非线性时的随机响应研究[J].应用数学和力学,2001,22(11):1142-1146.
    [4]
    Neild S A, Mcfadden P D,Williams M S.A review of time-frequency methods for structural vibration analysis[J].Engng Struct,2003,25(6):713-728. doi: 10.1016/S0141-0296(02)00194-3
    [5]
    Cohen L. Time-frequency distributions—a review[J].Proceedings of the IEEE,1989,77(7):941-981. doi: 10.1109/5.30749
    [6]
    Owen J S, Eccles B J,Choo B S,et al.The application of auto-regressive time series modeling for the time-frequency analysis of civil engineering structures[J].Engng Struct,2001,23(5):521-536. doi: 10.1016/S0141-0296(00)00059-6
    [7]
    Gurley K, Kareem A. Applications of wavelet transforms in earthquake, wind and ocean engineering[J].Engng Struct,1999,21(2):149-167. doi: 10.1016/S0141-0296(97)00139-9
    [8]
    Seidel D K, Davies P. Modeling nonlinear system by using autoregressive moving average models[J].Proceedings of the IEEE,1990,78(10): 2559-2562.
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