Probabilistic Assessment of a Light-Timber Frame Shear Wall with Variable Pinching under Repeated Earthquakes
Publication: Journal of Structural Engineering
Volume 148, Issue 11
Abstract
Pinching characterizes the hysteretic response of several structural systems. It is associated with a reduced dissipated hysteretic energy under cyclic loading and can significantly affect seismic performance, especially under repeated earthquakes. Although several scholars proposed advanced joint arrangements with reduced pinching, ordinary timber structures present pronounced pinching effects due to the local damage to the timber joints. This paper quantifies the impact of variable pinching on the seismic performance of a timber structural archetype. The authors modeled the hysteretic response of a light-timber framed assembly using an empirical hysteresis model and assessed the sensitivity of the displacement demand of the chosen archetype to pinching, number of earthquake repetitions, and spectral acceleration. The choice of an elementary structural archetype, rather than a more complex system, allows isolating the effects of pinching, which could otherwise be disguised by other phenomena, like force redistribution between structural assemblies due to plasticization.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
References
Abdollahzadeh, G., A. Mohammadgholipour, and E. Omranian. 2019. “Seismic evaluation of steel moment frames under mainshock–aftershock sequence designed by elastic design and PBPD methods.” J. Earthquake Eng. 23 (10): 1605–1628. https://doi.org/10.1080/13632469.2017.1387198.
Abdollahzadeh, G., and A. Sadeghi. 2018. “Earthquake recurrence effect on the response reduction factor of steel moment frame.” Asian J. Civ. Eng. 19 (8): 993–1008. https://doi.org/10.1007/s42107-018-0079-3.
Aloisio, A., R. Alaggio, and M. Fragiacomo. 2020a. “Fragility functions and behavior factors estimation of multi-story cross-laminated timber structures characterized by an energy-dependent hysteretic model.” Earthquake Spectra 37 (1): 134–159. https://doi.org/10.1177/8755293020936696.
Aloisio, A., R. Alaggio, and M. Fragiacomo. 2021a. “Equivalent viscous damping of cross-laminated timber structural archetypes.” J. Struct. Eng. 147 (4): 04021012. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002947.
Aloisio, A., R. Alaggio, J. Köhler, and M. Fragiacomo. 2020b. “Extension of generalized Bouc-Wen hysteresis modeling of wood joints and structural systems.” J. Eng. Mech. 146 (3): 04020001. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001722.
Aloisio, A., F. Boggian, T. Roberto, and M. Fragiacomo. 2021b. “The role of the hold-down in the capacity model of CLT and LTF shear walls based on the experimental lateral response.” Constr. Build. Mater. 289 (Jun): 123046. https://doi.org/10.1016/j.conbuildmat.2021.123046.
Aloisio, A., M. Pelliciari, A. V. Bergami, R. Alaggio, B. Briseghella, and M. Fragiacomo. 2022. “Effect of pinching on structural resilience: Performance of reinforced concrete and timber structures under repeated cycles.” Struct. Infrastruct. Eng. (Mar): 1–17. https://doi.org/10.1080/15732479.2022.2053551.
Aloisio, A., P. Sejkot, A. Iqbal, and M. Fragiacomo. 2021c. “An empirical transcendental hysteresis model for structural systems with pinching and degradation.” Earthquakes Eng. Struct. Dyn. 50 (9): 2277–2293. https://doi.org/10.1002/eqe.3442.
Amadio, C., M. Fragiacomo, and S. Rajgelj. 2003. “The effects of repeated earthquake ground motions on the non-linear response of SDOF systems.” Earthquake Eng. Struct. Dyn. 32 (2): 291–308. https://doi.org/10.1002/eqe.225.
Anil, Ö., A. Togay, Ü. K. Işleyen, N. Döngel, and C. Söğütlü. 2018. “Effect of timber type and nail spacing on the hysteretic behavior of timber-framed shear walls with openings.” Int. J. Civ. Eng. 16 (6): 629–646. https://doi.org/10.1007/s40999-016-0138-7.
Baker, J. W. 2015. “Efficient analytical fragility function fitting using dynamic structural analysis.” Earthquake Spectra 31 (1): 579–599. https://doi.org/10.1193/021113EQS025M.
Bayat, M., F. Daneshjoo, and N. Nisticò. 2015. “Probabilistic sensitivity analysis of multi-span highway bridges.” Steel Compos. Struct. 19 (1): 237–262. https://doi.org/10.12989/scs.2015.19.1.237.
Blandon, C. A., and M. Priestley. 2005. “Equivalent viscous damping equations for direct displacement based design.” Supplement, J. Earthquake Eng. 9 (S2): 257–278. https://doi.org/10.1142/S1363246905002390.
Blasetti, A., R. Hoffman, and D. Dinehart. 2008. “Simplified hysteretic finite-element model for wood and viscoelastic polymer connections for the dynamic analysis of shear walls.” J. Struct. Eng. 134 (1): 77–86. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:1(77).
Box, G. E. P., and D. R. Cox. 1964. “An analysis of transformation (with discussion).” J. R. Stat. Soc.: Ser. B (Methodol.) 26 (10): 211–252.
Buratti, N. 2012. “A comparison of the performances of various ground-motion intensity measures.” In Proc., 15th World Conf. on Earthquake Engineering. Red Hook, NY: Curran Associates, Inc.
Casolo, S. 2017. “A numerical study on the cumulative out-of-plane damage to church masonry façades due to a sequence of strong ground motions.” Earthquake Eng. Struct. Dyn. 46 (15): 2717–2737. https://doi.org/10.1002/eqe.2927.
Cavaleri, L., and F. Di Trapani. 2014. “Cyclic response of masonry infilled RC frames: Experimental results and simplified modeling.” Soil Dyn. Earthquake Eng. 65 (Oct): 224–242. https://doi.org/10.1016/j.soildyn.2014.06.016.
CEN (European Committee of Standardization). 2006. Timber structures. Test methods. Cyclic testing of joints made with mechanical fasteners. UNI EN 12512.2006. Brussels, Belgium: CEN.
Chan, N., A. Hashemi, P. Zarnani, and P. Quenneville. 2021. “Pinching-free connector for timber structures.” J. Struct. Eng. 147 (5): 04021036. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002982.
Decanini, L., C. Gavarini, and F. Mollaioli. 2000. “Some remarks on the Umbria-Marche earthquakes of 1997.” Eur. Earthquake Eng. 14 (3): 18–48.
Di Gangi, G., C. Demartino, G. Quaranta, and G. Monti. 2020. “Dissipation in sheathing-to-framing connections of light-frame timber shear walls under seismic loads.” Eng. Struct. 208 (Apr): 110246. https://doi.org/10.1016/j.engstruct.2020.110246.
Dowrick, D. 1986. “Hysteresis loops for timber structures.” Bull. N Z. Soc. Earthquake Eng. 19 (2): 143–152. https://doi.org/10.5459/bnzsee.19.2.143-152.
Elnashai, A., J. Bommer, and A. Martinez-Pereira. 1998. “Engineering implications of strong-motion records from recent earthquakes.” In Proc., 11th European Conf. on Earthquake Engineering. Boca Raton, FL: CRC Press.
Faisal, A., T. A. Majid, and G. D. Hatzigeorgiou. 2013. “Investigation of story ductility demands of inelastic concrete frames subjected to repeated earthquakes.” Soil Dyn. Earthquake Eng. 44 (Jan): 42–53. https://doi.org/10.1016/j.soildyn.2012.08.012.
Ferreira, F., C. Moutinho, Á. Cunha, and E. Caetano. 2020. “An artificial accelerogram generator code written in MATLAB.” Eng. Rep. 2 (3): e12129. https://doi.org/10.1002/eng2.12129.
Foliente, G. C. 1995. “Hysteresis modeling of wood joints and structural systems.” J. Struct. Eng. 121 (6): 1013–1022. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:6(1013).
Foliente, G. C., M. P. Singh, and M. N. Noori. 1996. “Equivalent linearization of generally pinching hysteretic, degrading systems.” Earthquake Eng. Struct. Dyn. 25 (6): 611–629. https://doi.org/10.1002/(SICI)1096-9845(199606)25:6%3C611::AID-EQE572%3E3.0.CO;2-S.
Folz, B., and A. Filiatrault. 2001. “Cyclic analysis of wood shear walls.” J. Struct. Eng. 127 (4): 433–441. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:4(433).
Fragiacomo, M., C. Amadio, and L. Macorini. 2004. “Seismic response of steel frames under repeated earthquake ground motions.” Eng. Struct. 26 (13): 2021–2035. https://doi.org/10.1016/j.engstruct.2004.08.005.
Gardoni, P., A. Der Kiureghian, and K. Mosalam. 2002. “Probabilistic capacity models and fragility estimates for RC columns based on experimental observations.” ASCE J. Eng. Mech. 128 (10): 1024–1038. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:10(1024).
Gavric, I., M. Fragiacomo, and A. Ceccotti. 2015. “Cyclic behavior of CLT wall systems: Experimental tests and analytical prediction models.” J. Struct. Eng. 141 (11): 04015034. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001246.
Grossi, P., T. Sartori, and R. Tomasi. 2015. “Tests on timber frame walls under in-plane forces: Part 2.” Proc. Inst. Civ. Eng. Struct. Build. 168 (11): 840–852. https://doi.org/10.1680/stbu.13.00108.
Gu ñez, F., H. Santa Mara, and J. L. Almazán. 2019. “Monotonic and cyclic behaviour of wood frame shear walls for mid-height timber buildings.” Eng. Struct. 189 (Jun): 100–110. https://doi.org/10.1016/j.engstruct.2019.03.043.
Hashemi, A., P. Zarnani, and P. Quenneville. 2020. “Seismic assessment of rocking timber walls with energy dissipation devices.” Eng. Struct. 221 (Oct): 111053. https://doi.org/10.1016/j.engstruct.2020.111053.
Hatzigeorgiou, G. D., and D. E. Beskos. 2009. “Inelastic displacement ratios for SDOF structures subjected to repeated earthquakes.” Eng. Struct. 31 (11): 2744–2755. https://doi.org/10.1016/j.engstruct.2009.07.002.
He, M., F. Lam, and R. O. Foschi. 2001. “Modeling three-dimensional timber light-frame buildings.” J. Struct. Eng. 127 (8): 901–913. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:8(901).
Hosseinpour, F., and A. Abdelnaby. 2017. “Fragility curves for RC frames under multiple earthquakes.” Soil Dyn. Earthquake Eng. 98 (Jul): 222–234. https://doi.org/10.1016/j.soildyn.2017.04.013.
Hu, S., P. Gardoni, and L. Xu. 2018. “Stochastic procedure for the simulation of synthetic main shock-aftershock ground motion sequences.” Earthquake Eng. Struct. Dyn. 47 (11): 2275–2296. https://doi.org/10.1002/eqe.3068.
Jamnani, H. H., J. V. Amiri, and H. Rajabnejad. 2018. “Energy distribution in RC shear wall-frame structures subject to repeated earthquakes.” Soil Dyn. Earthquake Eng. 107 (Apr): 116–128. https://doi.org/10.1016/j.soildyn.2018.01.010.
Jayamon, J., F. Charney, F. Flores, and P. Line. 2016. “Influence of wall load-displacement shape on seismic performance of wood-frame shear wall structures.” In Proc., World Conf. on Timber Engineering. Madera, Portugal: Centro UC de Innovación de Madera.
Jorissen, A., and M. Fragiacomo. 2011. “General notes on ductility in timber structures.” Eng. Struct. 33 (11): 2987–2997. https://doi.org/10.1016/j.engstruct.2011.07.024.
Judd, J. P., and F. S. Fonseca. 2005. “Analytical model for sheathing-to-framing connections in wood shear walls and diaphragms.” J. Struct. Eng. 131 (2): 345–352. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:2(345).
Kivell, B., P. Moss, and A. Carr. 1981. “Hysteretic modelling of moment-resisting nailed timber joints.” Bull. N. Z. Soc. Earthquake Eng. 14 (4): 233–243. https://doi.org/10.5459/bnzsee.14.4.233-243.
Kramer, A., A. R. Barbosa, and A. Sinha. 2016. “Performance of steel energy dissipators connected to cross-laminated timber wall panels subjected to tension and cyclic loading.” J. Struct. Eng. 142 (4): E4015013. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001410.
Lee, C. S., and S. W. Han. 2018. “Computationally effective and accurate simulation of cyclic behaviour of old reinforced concrete columns.” Eng. Struct. 173 (Oct): 892–907. https://doi.org/10.1016/j.engstruct.2018.07.020.
Li, Y., R. Song, and J. W. van de Lindt. 2014. “Collapse fragility of steel structures subjected to earthquake mainshock-aftershock sequences.” J. Struct. Eng. 140 (12): 04014095. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001019.
Li, Z., F. Chen, M. He, R. Zhou, Y. Cui, Y. Sun, and G. He. 2021. “Lateral performance of self-centering steel–timber hybrid shear walls with slip-friction dampers: Experimental investigation and numerical simulation.” J. Struct. Eng. 147 (1): 04020291. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002850.
Loo, W. Y., C. Kun, P. Quenneville, and N. Chouw. 2014. “Experimental testing of a rocking timber shear wall with slip-friction connectors.” Earthquake Eng. Struct. Dyn. 43 (11): 1621–1639. https://doi.org/10.1002/eqe.2413.
Loo, W. Y., P. Quenneville, and N. Chouw. 2012. “A numerical study of the seismic behaviour of timber shear walls with slip-friction connectors.” Eng. Struct. 34 (Jan): 233–243. https://doi.org/10.1016/j.engstruct.2011.09.016.
Loo, W. Y., P. Quenneville, and N. Chouw. 2016. “Rocking timber structure with slip-friction connectors conceptualized as a plastically deformable hinge within a multistory shear wall.” J. Struct. Eng. 142 (4): E4015010. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001387.
Massone, L. M., G. Muñoz, and F. Rojas. 2019. “Experimental and numerical cyclic response of RC walls with openings.” Eng. Struct. 178 (Jan): 318–330. https://doi.org/10.1016/j.engstruct.2018.10.038.
Mazzoni, S., F. McKenna, and G. L. Fenves. 2006. OpenSees command language manual. Berkeley, CA: Pacific Earthquake Engineering Research Center.
Mouyiannou, A., A. Penna, M. Rota, F. Graziotti, and G. Magenes. 2014. “Implications of cumulated seismic damage on the seismic performance of unreinforced masonry buildings.” Bull. N. Z. Soc. Earthquake Eng. 47 (2): 157–170. https://doi.org/10.5459/bnzsee.47.2.157-170.
Murià-Vila, D., and A. Toro Jaramillo. 1998. “Effects of several events recorded at a building founded on soft soil.” In Proc., 11th European Conf. on Earthquake Engineering. Rotterdam, Netherlands: Balkema.
Ozcebe, G., and M. Saatcioglu. 1989. “Hysteretic shear model for reinforced concrete members.” J. Struct. Eng. 115 (1): 132–148. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:1(132).
Pang, W., D. Rosowsky, S. Pei, and J. Van de Lindt. 2007. “Evolutionary parameter hysteretic model for wood shear walls.” J. Struct. Eng. 133 (8): 1118–1129. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:8(1118).
Park, R., D. C. Kent, and R. A. Sampson. 1972. “Reinforced concrete members with cyclic loading.” J. Struct. Div. 98 (7): 1341–1360. https://doi.org/10.1061/JSDEAG.0003267.
Parker, M., and D. Steenkamp. 2012. “The economic impact of the canterbury earthquakes.” Reserve Bank N. Z. Bull. 75 (3): 13–25.
Pei, S., and J. W. van de Lindt. 2007. User’s manual for SAPWood for windows: Seismic analysis package for woodframe structures. Fort Collins, CO: Colorado State Univ.
Pelliciari, M., G. C. Marano, T. Cuoghi, B. Briseghella, D. Lavorato, and A. M. Tarantino. 2018. “Parameter identification of degrading and pinched hysteretic systems using a modified Bouc–Wen model.” Struct. Infrastruct. Eng. 14 (12): 1573–1585. https://doi.org/10.1080/15732479.2018.1469652.
Polensek, A., and H. I. Laursen. 1984. Seismic behavior of bending components and intercomponent connections of light frame wood buildings. Corvallis, OR: Oregon State Univ.
Polese, M., M. Di Ludovico, A. Prota, and G. Manfredi. 2013. “Damage-dependent vulnerability curves for existing buildings.” Earthquake Eng. Struct. Dyn. 42 (6): 853–870. https://doi.org/10.1002/eqe.2249.
Raghunandan, M., and A. B. Liel. 2013. “Effect of ground motion duration on earthquake-induced structural collapse.” Struct. Saf. 41 (Mar): 119–133. https://doi.org/10.1016/j.strusafe.2012.12.002.
R Core Team. 2020. R: A language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing.
Rinaldin, G., C. Amadio, and M. Fragiacomo. 2013. “A component approach for the hysteretic behaviour of connections in cross-laminated wooden structures.” Earthquake Eng. Struct. Dyn. 42 (13): 2023–2042. https://doi.org/10.1002/eqe.2310.
Salami, M. R., M. M. Kashani, and K. Goda. 2019. “Influence of advanced structural modeling technique, mainshock-aftershock sequences, and ground-motion types on seismic fragility of low-rise RC structures.” Soil Dyn. Earthquake Eng. 117 (Feb): 263–279. https://doi.org/10.1016/j.soildyn.2018.10.036.
Shome, N., C. A. Cornell, P. Bazzurro, and J. E. Caraballo. 1998. “Earthquakes, records, and nonlinear responses.” Earthquake Spectra 14 (3): 469–500. https://doi.org/10.1193/1.1586011.
Son, J.-K., and C.-H. Lee. 2021. “Evaluation of appropriate hysteresis model for nonlinear dynamic analysis of existing reinforced concrete moment frames.” Materials 14 (3): 524. https://doi.org/10.3390/ma14030524.
Tang, Z., X. Xie, and T. Wang. 2016. “Residual seismic performance of steel bridges under earthquake sequence.” Earthquakes Struct. 11 (4): 649–664. https://doi.org/10.12989/eas.2016.11.4.649.
Vogrinec, K., M. Premrov, and E. K. Šilih. 2016. “Simplified modelling of timber-framed walls under lateral loads.” Eng. Struct. 111 (Mar): 275–284. https://doi.org/10.1016/j.engstruct.2015.12.029.
Wakashima, Y., H. Shimizu, K. Ishikawa, Y. Fujisawa, and S. Tesfamariam. 2019. “Friction-based connectors for timber shear walls: Static experimental tests.” J. Archit. Eng. 25 (2): 04019006. https://doi.org/10.1061/(ASCE)AE.1943-5568.0000351.
Xu, J., and J. D. Dolan. 2009. “Development of a wood-frame shear wall model in ABAQUS.” J. Struct. Eng. 135 (8): 977–984. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000031.
Yang, J.-Q., S. T. Smith, Z. Wang, P. Feng, and N. Sirach. 2020. “Modelling of hysteresis behaviour of moment-resisting timber joints strengthened with FRP composites.” Int. J. Mech. Sci. 179 (Aug): 105593. https://doi.org/10.1016/j.ijmecsci.2020.105593.
Zhai, C.-H., W.-P. Wen, S. Li, Z. Chen, Z. Chang, and L.-L. Xie. 2014. “The damage investigation of inelastic sdof structure under the mainshock–aftershock sequence-type ground motions.” Soil Dyn. Earthquake Eng. 59 (Apr): 30–41. https://doi.org/10.1016/j.soildyn.2014.01.003.
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Published In
Journal of Structural Engineering
Volume 148 • Issue 11 • November 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Oct 13, 2021
Accepted: May 20, 2022
Published online: Aug 30, 2022
Published in print: Nov 1, 2022
Discussion open until: Jan 30, 2023
ASCE Technical Topics:
- Building materials
- Continuum mechanics
- Dynamic loads
- Dynamics (solid mechanics)
- Earthquake engineering
- Earthquake resistant structures
- Earthquakes
- Engineering fundamentals
- Engineering materials (by type)
- Engineering mechanics
- Geohazards
- Geotechnical engineering
- Joints
- Materials engineering
- Seismic loads
- Seismic tests
- Shear walls
- Solid mechanics
- Structural dynamics
- Structural engineering
- Structural members
- Structural systems
- Tests (by type)
- Walls
- Wood and wood products
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