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:* [:ref:`R4.05.02 `]: Stochastic approach for seismic analysis. [:ref:`R4,05,04 `]: Soil-structure interaction with spatial variability (operator DYNA_ISS_VARI). [:external:ref:`R7.10.01 `]: Analysis of random responses. [:external:ref:`U4.84.04 `]: POST_DYNA_ALEA operator [:external:ref:`U4.84.01 `]:: Operator COMB_SISM_MODAL [:external:ref:`U4.32.05 `]: INFO_FONCTION operator [:external:ref:`U4.36.05 `]: GENE_FONC_ALEA operator [:external:ref:`U4.36.04 `]: GENE_ACCE_SEISME operator