Stochastic collocation-based nonlinear analysis of concrete bridges with uncertain parameters

References

• Abu-Dabous, S., & Alkass, S. (2010). A stochastic method for condition rating of concrete bridges. Paper presented at the Construction Research Congress, Banff, Alberta, Canada.
   Google Scholar
• Avsar, O. (2009). Fragility based seismic vulnerability assessment of ordinary highway bridges in Turkey ( Doctoral thesis). Middle East Technical University, Turkey.
   Google Scholar
• Azimi, M., Rasoulnia, A., Lin, Z., & Pan, H. (2016). Improved semi-active control algorithm for hydraulic damper-based braced buildings. Structural Control and Health Monitoring, 24(11). doi:10.1002/stc.1991
   Web of Science ®Google Scholar
• Billah, A. H. M. M., Alam, M. S., & Bhuiyan, A. R. (2013). Fragility analysis of retrofitted multicolumn bridge bent subjected to near-fault and far-field ground motion. Journal of Bridge Engineering, 18(10), 992–1004.10.1061/(ASCE)BE.1943-5592.0000452
   Web of Science ®Google Scholar
• Caltrans. (2013). Seismic design criteria version 1.7. Sacramento, CA: California Department of Transportation.
   Google Scholar
• Cameron, R. H., & Martin, W. T. (1947). The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals. The Annals of Mathematics, 48(2), 385–392.10.2307/1969178
   Web of Science ®Google Scholar
• Carrera, J. C. (2008). Earthquake engineering and engineering seismology ( PhD). Pavia, Italy: Universita degli Studi di Pavia.
   Google Scholar
• Computers and Structures Inc. (2009). Integrated finite element analysis and design of structures basic analysis reference manual. Berkeley, CA: Computers and Structures.
   Google Scholar
• De Grandis, G., Domaneschib, M., & Perotti, F. (2009). A numerical procedure for computing the fragility of NPP components under random seismic excitation. Nuclear Engineering and Design, 239(11), 2491–2499.10.1016/j.nucengdes.2009.06.027
   Web of Science ®Google Scholar
• Eshghi, S., & Ahari, M. N. (2005). Performance of transportation systems in the 2003 Bam, Iran, Earthquake. Earthquake Spectra, 21(S1), 455–468.10.1193/1.2098891
   Google Scholar
• FEMA 368. (2000). NEHRP recommended provisions for seismic regulations for new buildings & other structures. Washington, DC.
   Google Scholar
• Feng, Q. H., Yuan, W. C., Chang, C. C. (2012). Compound stochastic seismic vulnerability analysis and seismic risk evaluation for super large cableatayed bridge. In Abbas Moustafa (Ed.), Earthquake Resistant Structures Design Assessment and Rehabilitation. InTech, doi:10.5772/27300. Retrived from: https://www.intechopen.com/books/earthquake-resistant-structures-design-assessment-and-rehabilitation/compound-stochastic-seismic-vulnerability-analysis-and-seismic-risk-evaluation-for-large-cable-staye
   Google Scholar
• Ghanem, R. G., & Spanos, P. D. (1990). Polynomial chaos in stochastic finite elements. Journal of Applied Mechanics, 57(1), 197–202.10.1115/1.2888303
   Web of Science ®Google Scholar
• Ghanem, R. G., & Spanos, P. D. (1991). Stochastic finite elements: A spectral approach. New York, NY: Springer-Verlag.10.1007/978-1-4612-3094-6
   Google Scholar
• Gladysz, M., & Niady, P. (2009). Spectral density of the bridge beam response with uncertain parameters under a random train of moving forces. Archives of Civil and Mechanical Engineering, 9(3), 31–47.10.1016/S1644-9665(12)60216-7
   Web of Science ®Google Scholar
• Hacıefendioğlu, K. (2017). Stochastic dynamic response of short-span highway bridges to spatial variation of blasting ground vibration. Applied Mathematics and Computation, 292(1), 194–209.
   Google Scholar
• Huanga, Q., Sobolevb, G. A., & Nagao, T. (2001). Characteristics of the seismic quiescence and activation patterns before the M =7.2 Kobe earthquake, January 17, 1995January. Tectonophysics, 337(1–2), 99–116.10.1016/S0040-1951(01)00073-7
   Web of Science ®Google Scholar
• Hube, M. A., Martínez, A., & Rubilar, F. (2017). Experimental behavior of elastomeric bearings and seismic bars of simply supported Chilean bridges. Paper No. 4682 presented at the 16th World Conference on Earthquake Engineering, Santiago de Chile, Chile.
   Google Scholar
• Jacob, C., Sepahvand, K., Matsagar, V. A., & Marburg, S. (2013). Stochastic seismic response of base-isolated buildings. International Journal of Applied Mechanics, 5(1), 1–21.
   Web of Science ®Google Scholar
• Jara, J. M., Galvan, A., Jara, M., & Olmos, B. (2013). Procedure for determining the seismic vulnerability of an irregular isolated bridge. Structure and Infrastructure Engineering, 9(6), 1–13.
   Web of Science ®Google Scholar
• Jara, J. M., Reynoso, J. R., Olmos, B., & Jara, M. (2015). Expected seismic performance of irregular medium-span simply supported bridges on soft and hard soils. Engineering Structures, 98, 174–185.10.1016/j.engstruct.2015.04.032
   Web of Science ®Google Scholar
• Kersaudy, P., Mostarshedi, S., Sudret, B., Picon, O., & Wiart, J. (2014). Stochastic analysis of scattered field by building facades using polynomial chaos. IEEE Transactions on Antennas and Propagation, 62 (12), 6382–6393.
   PubMed Web of Science ®Google Scholar
• Kuyumcu, Z., & Ates, S. (2012). Soil-structure-foundation effects on stochastic response analysis of cable-stayed bridges. Structural Engineering and Mechanics, 43(5), 637–655.10.12989/sem.2012.43.5.637
   Web of Science ®Google Scholar
• Kvale, K. A., Sigbjörnsson, R., & Oiseth, O. (2016). Modelling the stochastic dynamic behaviour of a pontoon bridge: A case study. Computers & Structures, 165, 123–135.10.1016/j.compstruc.2015.12.009
   Web of Science ®Google Scholar
• Lin, Z., Yan, F., Azimi, M., Azarmi, F., Al-Kaseasbeh, Q. (2015). A revisit of fatigue performance based welding quality criteria in bridge welding provisions and guidelines. Paper presented at the International Industrial Informatics and Computer Engineering Conference (IIICEC), Shaanxi, China.10.2991/iiicec-15.2015.446
   Google Scholar
• Mander, J. B., Priestley, M. J. N., & Park, R. (1988). Observed stress‐strain behavior of confined concrete. Journal of Structural Engineering, 114(8), 1827–1849.10.1061/(ASCE)0733-9445(1988)114:8(1827)
   Web of Science ®Google Scholar
• Maroney, B. H. (1995). Large scale abutment tests to determine stiffness and ultimate strength under seismic loading ( Ph.D. dissertation). University of California, Davis, CA.
   Google Scholar
• Mosleh, A., Jara, J., & Varum, H. (2015). A methodology for determining the seismic vulnerability of old concrete highway bridges by using fragility curves. Journal of Structural Engineering and Geo-techniques, 5(1), 1–7.
   Google Scholar
• Mosleh, A., Razzaghi, M. S., Jara, J., & Varum, H. (2016a). Seismic fragility analysis of typical pre-1990 bridges due to near and far-field ground motions. International Journal of Advanced Structural Engineering, 8(1), 1–9. doi:10.1007/s40091-016-0108-y
   Google Scholar
• Mosleh, A., Razzaghi, M. S., Jara, J., & Varum, H. (2016b). Development of fragility curves for RC bridges subjected to reverse and strike-slip seismic sources. Earthquakes and Structures, 11(3), 517–538. doi:10.12989/eas.2016.11.3.517
   Web of Science ®Google Scholar
• Mosleh, A., Rodrigues, H., Varum, H., Costa, A., & Arêde, A. (2016). Seismic behavior of RC building structures designed according to current codes. Structures, 7, 1–13.10.1016/j.istruc.2016.04.001
   Web of Science ®Google Scholar
• Nielson, B. G. (2005). Analytical fragility curves for highway bridges in moderate seismic zones ( PhD thesis), Atlanta, Georgia: School of Civil and Environmental Engineering Georgia Institute of Technology.
   Google Scholar
• Nielson, B. G., & DesRoches, R. (2007a). Analytical seismic fragility curves for typical bridges in the Central and Southeastern United States. Earthquake Spectra, 23(3), 615–633.10.1193/1.2756815
   Web of Science ®Google Scholar
• Nielson, B. G., & DesRoches, R. (2007b). Seismic fragility methodology for highway bridges using a component level approach. Earthquake Engineering and Structural Dynamics, 36, 823–839.10.1002/(ISSN)1096-9845
   Web of Science ®Google Scholar
• Pan, Y., Agrawal, A. K., Ghosn, M., & Alampalli, S. (2010). Seismic fragility of multispan simply supported steel highway bridges in New York State. I: Bridge modeling, parametric analysis, and retrofit design. Journal of Bridge Engineering, 15(5), 448–461.10.1061/(ASCE)BE.1943-5592.0000085
   Web of Science ®Google Scholar
• Perotti, F., Domaneschi, M., & De Grandis, S. (2013). The numerical computation of seismic fragility of base-isolated Nuclear Power Plants buildings. Nuclear Engineering and Design, 262, 189–200.10.1016/j.nucengdes.2013.04.029
   Web of Science ®Google Scholar
• Priestley, M. J. N., & Park, R. (1987). Strength and ductility of concrete bridge columns under seismic loading. ACI Structural Journal, 84(1), 61–76.
   Web of Science ®Google Scholar
• Priestley, M. J. N., Seible, F., & Calvi, G. M. (1996). Seismic design and retrofit of bridges. New York, NY: Wiley.10.1002/9780470172858
   Google Scholar
• Saha, S. K., Sepahvand, K., Matsagar, V. A., Jain, A. K., & Marburg, S. (2013). Stochastic analysis of base-isolated liquid storage tanks with uncertain isolator parameters under random excitation. Engineering Structures, 57, 465–474.10.1016/j.engstruct.2013.09.037
   Web of Science ®Google Scholar
• Saha, S. K., Sepahvand, K., Matsagar, V. A., Jain, A. K., & Marburg, S. (2016). Fragility analysis of base-isolated liquid storage tanks under random sinusoidal base excitation using generalized polynomial chaos expansion–based simulation. Journal of Structural Engineering, 142(10), 04016059.10.1061/(ASCE)ST.1943-541X.0001518
   Web of Science ®Google Scholar
• Schueller, G. I. A. (1997). A state-of-the-art report on computational stochastic mechanics. Probabilistic Engineering Mechanics, 12(4), 197–321.10.1016/S0266-8920(97)00003-9
   Web of Science ®Google Scholar
• Sepahvand, K. (2017). Stochastic finite element method for random harmonic analysis of composite plates with uncertain modal damping parameters. Journal of Sound and Vibration, 400(2017), 1–12.10.1016/j.jsv.2017.04.025
   Google Scholar
• Sepahvand, K., Marburg, S., & Hardtke, H. J. (2010). Uncertainty quantification in stochastic systems using polynomial chaos expansion. International Journal of Applied Mechanics, 02(02), 305–353.10.1142/S1758825110000524
   Web of Science ®Google Scholar
• Sepahvand, K., Marburg, S., & Hardtke, H. K. (2007). Numerical solution of one-dimensional wave equation with stochastic parameters using generalized polynomial chaos expansion. Journal of Computational Acoustics, 15, 579–593.10.1142/S0218396X07003524
   Web of Science ®Google Scholar
• Sepahvand, K., Marburg, S., & Hardtke, H. K. (2012). Stochastic free vibration of orthotropic plates using generalized polynomial chaos expansion. Journal of Sound and Vibration, 331(1), 167–179.10.1016/j.jsv.2011.08.012
   Web of Science ®Google Scholar
• Sepahvand, K., Scheffer, M., & Marburg, S. (2015). Uncertainty quantification in natural frequencies and radiated acoustic power of composite plates: Analytical and experimental investigation. Applied Acoustics, 87, 23–29.10.1016/j.apacoust.2014.06.008
   Web of Science ®Google Scholar
• Shamsabadi, A. (2007). Three-dimensional nonlinear seismic soil-abutment-foundation structure interaction analysis of skewed bridges ( Ph.D. dissertation). University of Southern California, Los Angeles, CA.
   Google Scholar
• Shamsabadi, A., Rollins, K. M., & Kapuskar, M. (2007). Nonlinear Soil–abutment–bridge structure interaction for seismic performance-based design. Journal of Geotechnical and Geoenvironmental Engineering, 133(6), 707–720.10.1061/(ASCE)1090-0241(2007)133:6(707)
   Web of Science ®Google Scholar
• Stewart, P. S., Taciroglu, E., Wallace, J. W., Ahlberg, E. R., Lemnitzer, A., Rha, C., & Tehrani, P. K. (2007). Full scale cyclic testing of foundation support systems for highway bridges, Part II: Abutment Backwalls. Los Angeles, CA: Department of Civil and Environmental Engineering University of California.
   Google Scholar
• Sudret, B., & Mai, C. V. (2015). Computing derivative-based global sensitivity measures using polynomial chaos expansions. Reliability Engineering and System Safety, 134, 241–250.10.1016/j.ress.2014.07.009
   Web of Science ®Google Scholar
• Tavares, D. H., Padgett, J. E., & Paultre, P. (2012). Fragility curves of typical as-built highway bridges in eastern Canada. Engineering Structures, 40, 107–118.10.1016/j.engstruct.2012.02.019
   Web of Science ®Google Scholar
• Trifunac, M. D., & Todorovska, M. I. (2013). A note on the power of strong ground motion during the January 17, 1994 earthquake in Northridge, California. Soil Dynamics and Earthquake Engineering, 52, 13–26.10.1016/j.soildyn.2013.04.010
   Web of Science ®Google Scholar
• Wiener, N. (1938). The homogeneous chaos. American Journal of Mathematics, 60, 897–936.10.2307/2371268
   Web of Science ®Google Scholar
• Xiu, D., & Karniadakis, G. (2002). The Wiener--Askey polynomial chaos for stochastic differential equations. SIAM Journal on Scientific Computing, 24(2), 619–644.10.1137/S1064827501387826
   Web of Science ®Google Scholar
• Xiu, D., & Karniadakis, G. (2003). Modeling uncertainty in flow simulations via generalized polynomial chaos. Journal of Computational Physics, 187(1), 167–2003.
   Web of Science ®Google Scholar