Non-linear 2DOF system for efficient seismic analysis of vertical soil-nailed walls

References

• Barden, L. (1963). The Winkler model and its application to soil. Structural Engineering, 41, 279–280.
   Google Scholar
• Bathe, K. J., & Wilson, E. L. (1973). Stability and accuracy analysis of direct integration methods. Earthquake Engineering and Structural Dynamics, 1, 283–291.
   Google Scholar
• BHRC. (2014). Tehran: Building and Housing Research Center. Retrieved from http://www.bhrc.ac.ir/portal
   Google Scholar
• Cakir, T., & Livaoglu, R. (2012). Fast practical analytical model for analysis of backfill-rectangular tank-fluid interaction systems. Soil Dynamics and Earthquake Engineering, 37, 24–37.10.1016/j.soildyn.2012.01.013
   Web of Science ®Google Scholar
• Cakir, T. (2013). Evaluation of the effect of earthquake frequency content on seismic behavior of cantilever retaining wall including soil-structure interaction. Soil Dynamics and Earthquake Engineering, 45, 96–111.10.1016/j.soildyn.2012.11.008
   Web of Science ®Google Scholar
• Cheuk, C. Y., Ng, C. W. W., & Sun, H. W. (2005). Numerical experiments of soil nails in loose fill slopes subjected to rainfall infiltration effects. Computers and Geotechnics, 32, 290–303.10.1016/j.compgeo.2005.02.005
   Web of Science ®Google Scholar
• Chopra, A. K. (1995). Dynamics of structures: Theory and applications to earthquake engineering. Prentice-Hall international series in civil engineering and engineering mechanics. Engle wood Cliffs, NJ: Prentice-Hall.
   Google Scholar
• Chopra, A. K., & Goel, R. K. (1999). Capacity-demand-diagram methods based on inelastic design spectrum. Earthquake Spectra, 15, 637–656.10.1193/1.1586065
   Google Scholar
• Chopra, A. K., & Goel, R. K. (2002). A modal pushover analysis procedure for estimating seismic demands for buildings. Earthquake Engineering and Structural Dynamics, 31, 561–582.10.1002/(ISSN)1096-9845
   Web of Science ®Google Scholar
• Clough, R. W., & Penzien, J. (1993). Dynamics of structures (2nd ed.). New York, NY: McGraw-Hill.
   Google Scholar
• El Ganainy, H., & El Naggar, M. H. (2009). Seismic performance of three-dimensional frame structures with underground stories. Soil Dynamics and Earthquake Engineering, 29, 1249–1261.10.1016/j.soildyn.2009.02.003
   Web of Science ®Google Scholar
• Fajfar, P. (1999). Capacity spectrum method based on inelastic demand spectra. Earthquake Engineering and Structural Dynamics, 28, 979–993.10.1002/(ISSN)1096-9845
   Web of Science ®Google Scholar
• Fajfar, P., & Fischinger, M. (1989/1988). N2 – A method for non-linear seismic analysis of regular buildings. Proc. of 9th World Conference on Earthquake Engineering, Vol. V, 111–116, Kyoto, Tokyo.
   Google Scholar
• Fajfar, P., & Gašperšič, P. (1996). The N2 method for the seismic damage analysis of RC buildings. Earthquake Engineering and Structural Dynamics, 25, 31–46.10.1002/(ISSN)1096-9845
   Web of Science ®Google Scholar
• Fakhimi, A. (1998). Theory and user manual of CA2 computer program (Report No. 262). Tehran: Building and Housing Research Center.
   Google Scholar
• FLAC. (1998). Fast Lagrangian analysis of continua (FLAC) manual. Mineapolis, MN: Itasca Consulting Group.
   Google Scholar
• Giri, D., & Sengupta, A. (2009). Dynamic behavior of small scale nailed soil slopes. Geotechnical Geological Engineering, 27, 687–698.
   Google Scholar
• Hong, Y., Chen, R., Wu, C., & Chen, J. (2005). Shaking table tests and stability analysis of steep nailed slopes. Canadian Geotechnical Journal, 42, 1264–1279.10.1139/t05-055
   Web of Science ®Google Scholar
• Kianoush, M. R., & Ghaemmaghami, A. R. (2011). The effect of earthquake frequency content on the seismic behavior of concrete rectangular liquid tanks using the finite element method incorporating soil-structure interaction. Engineering Structures, 33, 186–200.
   Web of Science ®Google Scholar
• Kocijan, J. (2005). Analysis of forces and displacements leading to failure of different configurations of soil-nailed excavation centrifuge models under cyclic loads (PhD thesis). Los Angeles, University of Los Angeles.
   Google Scholar
• Komak Panah, A., & Majidian, S. (2010). Assessment of soil-nailed excavations seismic failure under cyclic loading and pseudo-static forces. Proc. of Fifth International Conference on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics, San Diego, CA.
   Google Scholar
• Komak Panah, A., & Majidian, S. (2013). 2D numerical modelling of soil-nailed structures for seismic improvement. Geomechanics and Engineering, 5, 37–55.10.12989/gae.2013.5.1.037
   Web of Science ®Google Scholar
• Kramer, S. (1996). Geotechnical earthquake engineering. Upper Saddle River: Prentice Hall.
   Google Scholar
• Lazarte, C., Elias, V., Espinoza, R., Sabatini, P. (2003). Geotechnical engineering circular No. 7 soil nail walls. United states Federal Highway Administration,  Columbia. FHWA0-IF-03-017.
   Google Scholar
• Lysmer, J., & Kuhlmeyer, R. L. (1969). Finite dynamic model for infinite media. Journal of Engineering Mechanics, ASCE, 95, 859–877.
   Google Scholar
• PEER. (2014). PEER NGA Database. Berkeley, CA: Pacific Earthquake Engineering Research Center, University of California. Retrieved from http://peer.berkeley.edu/nga/
   Google Scholar
• PIANC. (2001). Seismic design guidelines for port structures. Tokyo: International Navigation Association, Balkema.
   Google Scholar
• Plaxis V8. (2004). PLAXIS Version 8 Reference Manual. PLAXIS B.V.: Delft.
   Google Scholar
• Tso, W. K., Zhu, T. J., & Heidebrecht, A. C. (1992). Engineering implication of ground motion A/V ratio. Soil Dynamics and Earthquake Engineering, 11, 133–144.10.1016/0267-7261(92)90027-B
   Google Scholar
• Tufenkjian, M. R., & Vucetic, M. (2000). Dynamic failure mechanism of soil-nailed excavation models in centrifuge. Journal of Geotechnical and Geoenvironmental Engineering, 126, 227–235.10.1061/(ASCE)1090-0241(2000)126:3(227)
   Web of Science ®Google Scholar
• Vamvatsikos, D., & Cornell, C. A. (2002). Incremental dynamic analysis. Earthquake Engineering and Structural Dynamics, 31, 491–514.10.1002/(ISSN)1096-9845
   Web of Science ®Google Scholar
• Vamvatsikos, D., & Cornell, C. A. (2005). Direct estimation of seismic demand and capacity of multidegree-of-freedom systems through incremental dynamic analysis of single degree of freedom approximation. Journal of Structural Engineering, 131, 589–599.10.1061/(ASCE)0733-9445(2005)131:4(589)
   Web of Science ®Google Scholar
• Vamvatsikos, D., & Cornell, C. A. (2006). Direct estimation of the seismic demand and capacity of oscillators with multi-linear static pushovers through IDA. Earthquake Engineering and Structural Dynamics, 35, 1097–1117.10.1002/(ISSN)1096-9845
   Web of Science ®Google Scholar
• Veletsos, A. S., & Younan, A. H. (1994). Dynamic soil pressures on rigid vertical walls. Earthquake Engineering and Structural Dynamics, 23, 275–301.10.1002/(ISSN)1096-9845
   Web of Science ®Google Scholar
• Veletsos, A. S., & Younan, A. H. (1997). Dynamic response of cantilever retaining walls. Journal of Geotechnical and Geoenvironmental Engineering, 123, 161–172.10.1061/(ASCE)1090-0241(1997)123:2(161)
   Web of Science ®Google Scholar
• Vucetic, M., Iskandar, V. E., Doroudian, M., & Luccioni, L. (1993). Dynamic failure of soil-nailed excavations in centrifuge. Proc. of International Symposium on Earth Reinforcement, Fukuoka, Japan, 829–834.
   Google Scholar
• Vucetic, M., Tufenkjian, M. R., & Doroudian, M. (1993). Dynamic centrifuge testing of soil-nailed excavations. Geotechnical Testing Journal, 16, 172–187.
   Google Scholar
• Vucetic, M., Tufenkjian, M. R., Felio, G. Y., Barrar, P., Chapman, K. R. (1998). Analysis of soil-nailed excavations during the 1989 Loma Prieta earthquake in California. USGS professional paper 1552. Part of NEHRP Report to congress: The Loma Prieta, California, Earthquake of October 17, 1989.
   Google Scholar
• Wiebe, L., & Christopoulos, C. (2010). Characterizing acceleration spikes due to stiffness changes in nonlinear systems. Earthquake Engineering and Structural Dynamics, 39, 1653–1670.10.1002/eqe.v39:14
   Web of Science ®Google Scholar
• Younan, A. H., & Veletsos, A. S. (2000). Dynamic response of flexible retaining walls. Earthquake Engineering and Structural Dynamics, 29, 1815–1844.10.1002/(ISSN)1096-9845
   Web of Science ®Google Scholar