6. References#

  1. Ahmadi, G. Fan FG, (1990) Nonstationary Kanai-Tajimi models for El Centro 1940 and Mexico City 1985 earthquake, Probabilistic Engineering Mechanics, 5, 171-181.

  2. Clough RW., Penzien J (1975), Dynamics of Structures. McGraw-Hill.

  3. Baker J.W., Jayaram N. (2008) Correlation of spectral acceleration values from NGA ground motion models, Earthquake Spectra 24:1 299-317.

  4. Jennings, P.C., Housner, G.W., G.W., Tsai, C. (1969) Simulated earthquake motions for design purpose. Proc. 4th World Conference Earth. Eng. Santiago, vol. A-1:145-160.

  5. Kanai, K. (1957). Semi-empirical formula for the seismic characteristics of the ground motion. Bulletin of the Earthquake Research Institute, University of Tokyo 35:2, 308-325.

  6. Poirion, F. and Soize, C. (1989). Numerical simulation of homogeneous and inhomogeneous Gaussian stochastic fields. Aerospace Research, pp. 41-61.

  7. Preumont A. (1980), A method for generation of artificial accelerographs. Nuclear Eng. Design, 59, 357-368.

  8. Priestley, M.B. (1964) Evolutionary spectra and nonstationary processes. J. Royal Statistical Society 27 (2), 204-237.

  9. Rezaeian S, Der Kiureghian A. (2010), Stochastic modeling and simulation of ground motions for performance-based earthquake engineering, PEER report 2010/02.

  10. Rezaeian S, Der Kiureghian A. (2010), Simulation of synthetic ground motions for specified earthquake and site characteristics, Earthquake Engineering and Structural Dynamics 39, 1155-1180.

  11. Soize, C. (1993), Mathematical methods in signal analysis. Masson, Paris.

  12. Stewart et al. (2008), Special Issue of the NGA Relations Project, Earthquake Spectra 24:1.

  13. Tajimi, H. (1960). A statistical method of determining the maximum response of a building structure during an earthquake. 2nd WCEE, Tokyo 2, pp. 781-798.

  14. US NGA Strong-Motion Database ( `http://peer.berkeley.edu/nga/`_ < http://peer.berkeley.edu/nga/>)

  15. Vanmarcke E.H. (1972), Properties of spectral moments with applications to random vibration. J Engrg. Mech. Div. ASCE 98, 425-446.

  16. Vanmarcke, E.H., Gasparini, D.A. (1976) Simulated earthquake motions compatible with prescribed response spectra. SIMQKE User’s manual and documentation. MIT Report R76-4.

  17. Zentner I., Poirion F (2012), Enrichment of seismic ground motion databases using Karhunen-Loève expansion. Earthquake Engineering and Structural Dynamics 41:14, 1945-1957.

  18. Zentner I. D’Amico L. Cacciola P. (2013), Simulation of non-stationary ground motion compatible with NGA -spectra. Proceedings of ICOSSAR, Columbia University, New York

  19. Zentner, I. Stochastic models for the simulation of ground motion time histories. Note EDF R&D H-T62-2014-07824-EN.

Code_Aster documentation:

[R4.05.02]: Stochastic approach for seismic analysis.

[R4,05,04]: Soil-structure interaction with spatial variability (operator DYNA_ISS_VARI).

[R7.10.01]: Analysis of random responses.

[U4.84.04]: POST_DYNA_ALEA operator

[U4.84.01]:: Operator COMB_SISM_MODAL

[U4.32.05]: INFO_FONCTION operator

[U4.36.05]: GENE_FONC_ALEA operator

[U4.36.04]: GENE_ACCE_SEISME operator