Nonstationary Probabilistic Seismic Response Analysis of Nonlinear Soil Profile under Bidirectional Dynamic Loading

Abstract:

In this paper, according to the characteristics of near-fault earthquakes, combined with the strong ground motion attenuation law in China, the nonstationary power spectrum of bidirectional ground motion input is obtained through random vibration analysis. By introducing the pseudo excitation algorithm, the evolutionary power spectral density (PSD) of acceleration at the engineering bedrock is handled as the nonstationary pseudo input, and the Hardin-Drnevich hyperbolic model is utilized to take into account the nonlinearity of soil layer. On this basis, finite element method in the time domain and frequency domain are used for seismic response analysis of soil profile. Values including various time-varying power spectral density of the dynamic response, time varying RMS and time-dependent reliability at different threshold can be obtained by calculating, which provides a basis for the analysis of the foundation dynamic reliability assessment.

• Periodical: Applied Mechanics and Materials (Volumes 193-194)
• Pages: 949-953
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.193-194.949
• Online since: August 2012
• Authors: Xiao Dong Pan, Jia En Zhong, Chao Chao He
• Keywords: Dynamic Reliability Analysis, Nonlinear, Nonstationary, Two Way Excitation

References

[1] Xiao-jun Li, Thinking towards earthquake damage phenomena and engineering seismology [J]. World Seismology , 2001, (8): 26~31.

[2] Wei-jian Yi, Bin Zhang, Frame structure of near-field earthquake damage mechanism [J], Journal of Natural Disasters, 2007, 16(20): 112-117.

[3] Loh CH，Cheng CR，Wen Y K. Probabilistic evaluation of liquefaction potential under earthquake loading. Soil Dynamics and Earthquake Engineering，1995，14：269～278.

DOI: 10.1016/0267-7261(94)00052-i

[4] Zai-guang Wu, Guo-cheng Han, Hao Lin, The average probability equivalent linearization method of random seismic response analysis of nonlinear soil, Chinese Journal of Geotechnical Engineering, 1989, 11(4): 9～16.

[5] Hanlong Liu, Permanent displacement analysis of foundation and embankment dams in the role of random seismic, Chinese Journal of Geotechnical Engineering, 1996, 18(3): 19～27.

[6] Guo-xing Chen, Jun-fei Xie, Kexu Zhang, The two-dimensional stochastic analysis of dam's earthquake performance [J], Earthquake Engineering and Engineering Vibration, 1994, 14(3): 81～90.

[7] Ali Nour, Abdennasser Slimani, et., al. Finite element model for the probabilistic seismic response of heterogeneous soil profile. Soil dynamics and earthquake engineering, 2003, 23: 331-348.

DOI: 10.1016/s0267-7261(03)00036-8

[8] Hardin B O, Drnevich V P. Shear Modulus and Damping in Soils: Design Equations and Curves[J]. Journal of the Soil Mechanics and Foundations Division, 1972(7): 667～692.

DOI: 10.1061/jsfeaq.0001760

[9] Seed H B. Representation of irregular stress time histories by equivalent uniform stress series in liquefaction analysis[R]. Earthquake engineering research center report UCB/EERC-75/29, University of California, Berkeley, (1975).

[10] Perotti F. Structural response to nonstationary multiple- support random excitation[J]. Earthquake Engineering and Structural Dynamics, 1990, 19 (6): 513～527.

DOI: 10.1002/eqe.4290190404

[11] Xiaodong Pan, Nonlinear Probabilistic Dynamic Response Analysis of Effective Stress of Earth Dams under Nonstationary Seismic Loadings, Zhejiang University, (2004).