Abstract
Interconnecting adjacent buildings by damper is established as a viable technology to avoid pounding and resulting damages observed in the past major earthquakes. Performance of such system has been investigated in the past. However, all these studies assume the system parameters as deterministic. It is well established that performance of a control system can significantly get affected by the presence of uncertainty in system parameters. In this study, the effect of parameter uncertainty is included in the stochastic response evaluation of the connected buildings under random earthquake. The buildings, modeled by two single degree of freedom systems (SDOF), are connected with nonlinear hysteretic damper. The stochastic uncertainty in the system parameters is dealt with matrix perturbation theory, using first-order Taylor series expansion. The total probability concept is used to evaluate the unconditional response of the structures under parameter uncertainty; for this, the conditional response and its sensitivities are evaluated in the random vibration framework. The efficiency of the connected building system is demonstrated in terms of substantial reduction of the seismic responses. The efficiency, however, varies drastically in the presence of uncertainty. The disparity among the displacement could be as high as 5–10% with and without considering uncertainty. Neglecting uncertainty underestimates the response for flexible structure, whereas overestimates the response for stiff structure, which might lead to unsafe design for the flexible structure provided that uncertainty is not adequately taken care of. Displacement, acceleration of the flexible building, and acceleration of stiff building show coefficient of variations around 10%, which is remarkably amplified (as high as 50%) in case of the displacement of stiff building. The findings establish the importance of parameter uncertainty on the performance of the connected buildings.
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References
Atalik TS, Utku S (1976) Stochastic linearization of multi-degree-of-freedom non-linear systems. Earthq Eng Struct Dyn 4(3):411–420
Bhaskararao AV, Jangid RS (2006) Optimum viscous damper for connecting adjacent SDOF structures for harmonic and stationary white-noise random excitations. Earthq Eng Struct Dyn 36:563–571
Spencer BF, Dyke SJ, Sain MK (1997) Carlson, phenomenological model of magnetorheological damper. J Eng Mech, ASCE 123(3):230–238
Crandall S, Mark W (1963) Random vibration in mechanical systems. Academic, New York
Jansen LM, Dyke SJ (2000) Semi active control strategies for MR dampers: a comparative study, ASCE J Eng Mech 126(8):795–803
Jensen HA (2005) Design and sensitivity analysis of dynamical systems subjected to stochastic loading. Comp Struct 83:1062–1075
Kageyama M, Yoshida O, Yasui Y. A study on optimum damping systems for connected double frame structures. In: Proceedings of the first world conference on structural control, Los Angeles, vol 1, pp 32–39
Kamagata K, Miyajima K, Seto K (1996) Optimal design of damping devices for vibration control of parallel structures. In: Proceedings of the 3rd international conference on motion and vibration control (MOVIC), vol 2, pp 334–339
Kanai K (1957) Semi-empirical formula for the seismic characteristics of the ground. Bull Earthq Res Inst Univ Tokyo 35:309–325
Klein RE, Cusano C, Stuke J (1972) Investigation of a method to stabilize wind induced oscillations in large structures. In: Proceedings of ASME winter annual meeting, paper no. 72-WA/AUT-H
Klein RE, Healy MD (1987) Semi-Active control of wind induced oscillations. In: Proceedings of 2nd international conference on structural control. Martinus Nijhoff Publishers, Dordrecht, pp 354–369
Luco JE, De Barros FCP (1998) Optimal damping between two adjacent elastic structures. Earthq Eng Struct Dyn 7(7):649–659
Marano GC, Greco R, Sgobba SA (2010) A comparison between different robust optimum design approaches: application to tuned mass dampers. Probab Eng Mech 25:108–118
Marano GC, Sgobba S, Greco R, Mezzina M (2008) Robust optimum design of tuned mass dampers device in random vibrations mitigation. J Sound Vib 313:472–492
Ni YQ, Ko JM, Ying ZG (2001) Random response analysis of adjacent buildings coupled with nonlinear hysteretic dampers. J Sound Vib 246(3):403–417
Ok Seung Yong, Junho Song, Kwan-Soon Park (2008) Optimal design of hysteretic dampers connecting adjacent structures using multi-objective genetic algorithm and stochastic linearization method. Eng Struct 30:1240–1249
Seto K (1994) Vibration control method for flexible structures arranged in parallel. In: Proceedings of first world conference on structural control, Los Angeles, CA, vol 3, pp 62–71
Taflanidis AA, Beck JL, Angelides DC (2007) Robust reliability based design of liquid column mass dampers under earthquake excitation using an analytical reliability approximation. Eng Struct 29:3525–3537
Westermon B (1989) The dynamics of interstructural connection to prevent pounding. Earthq Eng Struct Dyn 18:687–699
Xu YL, He Q, Ko JM (1999) Dynamic response of damper connected adjacent buildings under earthquake excitation. Eng Struct 21(2):135–148
Yang Z, Xu YL, Lu XL (2003) Experimental seismic study of adjacent buildings coupled with fluid dampers. J Struct Eng ASCE 129(2):197, 205
Zhang WS, Xu YL (1999) Dynamic characteristics and seismic response of adjacent buildings linked by discrete dampers. Earthq Eng Struct Dyn 28(10):1163–1185
Zhang WS, Xu YL (2000) Vibration analysis of two buildings linked by Maxwell model-defined fluid dampers. J Sound Vib 233(5):775–796
Zhang Y, Web B, Liu Q (1998) First passage of uncertain single degree of freedom nonlinear oscillations. Comput Meth Appl Mech Eng 165:223–231
Zhu HP, Xu YL (2005) Optimum parameters of Maxwell model-defined dampers used to link adjacent structures. J Sound Vib 279:253–574
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Mishra, S.K., Das, S. (2013). Performance of Connected Buildings Under Parameter Uncertainty Subjected to Random Earthquakes. In: Chakraborty, S., Bhattacharya, G. (eds) Proceedings of the International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012). Springer, India. https://doi.org/10.1007/978-81-322-0757-3_62
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DOI: https://doi.org/10.1007/978-81-322-0757-3_62
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