Generation of Non-uniform support accelerations of topographic site using one recorded accelerogram

Document Type : Original Article

Authors

1 faculty of civil Engineering

2 Faculty of Civil engineering

3 Department of Geology

4 Faculty of Engineering

Abstract

This study investigates method of producing non-uniform support acceleration in actual site condition. Factors affecting the non-uniform excitation of topographic site include time delay between the arrival time of incident wave at the canyon floor and any particular point at higher elevation, causing phase difference. Another important factor in generating non-uniform accelerations is the topography amplification. Therefore, in the present study, two dimensional models of a canyon site subjected to Ricker wave with different predominant frequencies, shear wave velocities, shape ratios have been developed and the results of boundary element analyses in time domain (HYBRID code) were obtained in different elevations on the canyon surface. Then, by conducting a series of statistical analyses (Symbolic Regression and Genetic Programming) on the results from numerous presumed cases, the relationships for calculating the time delay between support responses of V-shaped canyons was obtained. To verify the accuracy of the proposed relationships, the results were compared with the records from Pacoima dam site during two different earthquakes and good agreement of the results was observed. Eventually, by implementing the presented relationships into random vibration method, non-uniform acceleration of the site was simulated. The results indicate that the proposed relationships have an appropriate level of accuracy to calculate time delay on the V-shaped canyons.

Keywords

Main Subjects


 [1] Zerva, A. (2009) “Spatial Variation of Seismic Ground Motions: Modeling and Engineering Application”, CRC Press, New York.
 
[2] Trifunac, M. D. (1973) “Scattering of plane SH waves by a semi-cylindrical canyon,” Earthquake Engineering and Structural Dynamics 1, 267–281.
 
[3] Geli, L.,Bard,P.Y. & Jullien,B.,(1988) “The effect of topography on earthquake ground motion: A Review and New results”, Bulletin of seismological society of America , Vol78,No.1,Feb.
 
[4] Kamalian, M., Jafari, M.K., Sohrabi Bidar, A., Razmkhah, A., Gatmiri, B.; (2006) "Time-Domain Two-Dimensional Site Response Analysis of Non-Homogeneous Topographic Structures by a Hybrid FE/BE Method"; Soil Dynamic and Earthquake Engineering; Vol. 26, No. 8; pp. 753-765.
 
[5] Kamalian, M., Gatmiri, B., Sohrabi-Bidar, A.and Khalaj, A., (2007) “Ampliļ¬cation pattern of 2D semi-sine-shaped valleys subjected to vertically propagating incident waves”, Communications in Numerical Methods in Engineering; 23:871–887.
 
[6] Kamalian, M., Jafari, M.K., Sohrabi-Bidar, A. Razmkhah, A.,”Shape effects on amplification potential of two dimensional hills”, JSEE, Vol. 8 No.2, pp:58-70 (In Farsi).
 
[7] Sohrabi-Bidar, A., Kamalian, M. and Mohammad Kazem Jafari, (2010) “Seismic response of 3-D Gaussian-shaped valleys to vertically propagating incident waves”, Geophys. J. Int. 183, 1429–1442, 2010.
 
[8] Sohrabi-Bidar, A., Kamalian, M. (2013) “Effects of three-dimensionality on seismic response of Gaussian-shaped hills for simple incident pulses”, Soil Dynamics and Earthquake Engineering(Elsevier). Volume 52, Pages 1–12.
 
[9] Tarinejad, R, Fatehi R and Harichandarn, R.S., (2013) “Response of an arch dam to non-uniform excitation generated by a seismic wave scattering model”, Soil Dynamics and Earthquake Engineering, Volume 52, Pages 40-54.
 
[10] Tarinejad, R., Isari, M., TaghaviGhalesari, A. (2017) “A new boundary element solution to evaluate the geometric effects of the canyon site on the displacement response spectrum”, Earthquake Engineering and Engineering Vibration, In press.
 
[11] Harichandran, R.S. and Vanmarcke, E. H. (1986) “Stochastic variation of earthquake ground motion in space and time,” Journal of Engineering Mechanics 112(2), 154–174.
 
[12] Luco, J.E., and Wong, H. L. (1986) Response of a rigid foundation to a spatially random ground motion. Earthquake Engineering and Structural Dynamics, Vol.14, 891-908.
 
[13] Abrahamson NA. (1993) “Spatial variation of multiple support inputs. In: Proceedings of the 1st US Seminar on Seismic Evaluation and Retrofit of Steel Bridges”, San Francisco, CA.
 
[14] Der Kiureghian, A. and Neuenhofer, A. (1992) “Response spectrum method for multi-support seismic excitations,” Earthquake Engineering and Structural Dynamics 21(8), 713–740.
 
[15] Der Kiureghian, A. (1996) A coherency model for spatially varying ground motions,” Earthquake Engineering and Structural Dynamics 25, 99–111.
 
[16] Harichandran, R. S., Hawwari, A., and Sweidan, B. N. (1996) “Response of long-span bridges to spatially varying ground motion. J. Struct. Eng., 10.1061/(ASCE)0733-9445(1996)122:5(476), 476–484.
 
 [17] Zhang, Y. H., Li, Q. S., Lin, J. H., and Williams, F. W. (2009) “Random vibration analysis of long span structures subjected to spatially varying ground motions”, Soil Dynamics and Earthquake Engineering 29(4), 620–629.
 
[18] Alves, S.W. (2005) “Nonlinear analysis of Pacoima Dam with spatially non-uniform ground motion”, PhD Dissertation, California Institute of Technology, Pasadena, California. 
 
[19] Koza JR (1992) “Genetic programming: on the programming of computers by means of natural selection”, The MIT Press, Cambridge. 
 
 [20] Bi, K. and Hao, H. (2011) “Influence of irregular topography and random soil properties on coherency loss of spatial seismic ground motions”, Earthquake Engineering and Structural Dynamics 40,1045–1061.
 
[21] Bi, K. and Hao, H. (2012) “Modelling and simulation of spatially varying earthquake ground motions at sites with vary conditions,” Probabilistic Engineering Mechanics 29, 92–104.
 
[22] K. Sobczyk. (1991) “Stochastic Wave Propagation, Kluwer Academic Publishers, Netherlands.
 
[23] He C-H, Wang J-Y, Zhang C-H and Jin F. (2014) Simulation of broadband seismic ground motions at dam canyons by using a deterministic numerical approach. Soil Dynamics and Earthquake Engineering.
 
[24] Damadipour M, Tarinejad, R. (2012) System identification of a concrete arch dam and calibration of its finite element model with emphasis on non-uniform ground motion, Master of Science Thesis, Civil Engineering, Tabriz, Tabriz. (In Persian).