Semi-active isolation systems can be effective in protecting structural integrity and vibration-sensitive contents concurrently. Due to external factors, the actual values of the mechanical properties of isolation elements used in semi-active isolated buildings may differ from their nominal design values. In order to determine the seismic behavior of semi-active isolated buildings more realistically, a probabilistic approach that takes such uncertainties into account is essential. Monte-Carlo Simulation technique is a suitable method to perform probabilistic investigation and conduct reliability analyses that take these uncertainties into account. In this study, it is explained how Monte-Carlo simulation method is applied to a typical semi-active isolated building. In order to make an illustration, the Monte-Carlo simulation of a 3-story benchmark semi-active isolated building is carried out under synthetic earthquakes with random characteristic parameters. For performing Monte-Carlo simulation, the previously modified version [Gavin, H., Alhan C., Oka, N., Fault Tolerance of Semiactive Seismic Isolation, 2003, J Struct Eng, 129:922-932] of 3DBASIS program [Nagarajaiah, S., Reinhorn, A.M., Constantinou, M.C., 3D-BASIS Nonlinear Dynamic Analysis of Three Dimensional Base Isolated Structures Part II”, NCEER-910005, 1991, SUNY, Buffalo], which is able to conduct seismic analysis of semi-active isolated buildings, is further modified to perform recursive analyses with random variables under synthetic earthquakes. It is shown that the structural response parameters investigated attain values in wide range as opposed to singlevalued deterministic results and the cumulative distribution function plots generated can effectively be used in determining probability of failures and thus reliability levels.
Monte-Carlo simulation, probabilistic dynamic analysis, semi-active isolated building, synthetic earthquakes
 M. Singh, E. Matheu, L. Suarez, Active and Semi‐ Active Control of Structures Under Seismic Excitation, Earthquake Engineering & Structural Dynamics, 1997, 26: 193-213.
 K.W. Wang, Y.S. Kim, Semi-Active Vibration Control of Structures via Variable Damping Elements, Mechanical Systems and Signal Processing, 1991, 5: 421-430.
 J.N., Yang, A.K., Agrawal, Semi-Active Hybrid Control Systems for Nonlinear Buildings against Near-Field Earthquakes, Engineering Structures, 2002, 24(3): 271-280.
 A.C., Thompson, A.S., Whittaker, G.L., Fenves, S.A., Mahin, Property Modification Factors for Elastomeric Seismic Isolation Bearings, Proceedings of the 12th World Conference on Earthquake Engineering, 2000, Auckland New Zealand.
 A.S., Nowak, K.R., Collins, Reliability of Structures, Mc Graw-Hill Companies Inc., Boston, 2000, ISBN 0070481636.
 J.C., De La Llera, J.A., Inaudi, Analysis of Base-Isolated Buildings Considering Stiffness Uncertainty In The Isolation System, Fifth National Conference on Earthquake Engineering, Chicago, Illinois, Earthquake Engineering Research Institute, 1994, 623-632.
 I., Politopoulos, H.K., Pham, Sensitivity of Seismically Isolated Structures, Earthquake Engineering & Structural Dynamics, 2009, 38: 989- 1007.
 C., Alhan, K., Hışman, Seismic Isolation Performance Sensitivity to Potential Deviations from Design Values, Smart Structures and Systems, 2016, 18:.293-315.
 H., Gazi, Probabilistic Behavior of Seismically Isolated Buildings under Earthquake Loads, Istanbul University, İstanbul, 2015, PhD Dissertation.
 A.M., Aly, R.E., Christenson, On the Evaluation of the Efficacy of a Smart Damper: A New Equivalent Energy-Based Probabilistic Approach, Smart Materials and Structures, 17, 2008, 045008.
 H., Gavin, C., Alhan, N., Oka, Fault Tolerance of Semi-active Seismic Isolation, J Struct Eng-ASCE, 2003, 129: 922-932.
 S., Nagarajaiah, A.M., Reinhorn, M.C., Constantinou, 3D-BASIS Nonlinear Dynamic Analysis of Three Dimensional Base Isolated Structures Part II. Report No: NCEER-910005, 1991, State University of New York, Buffalo.
 S., Öncü-Davas, Probabilistic Behavior of Buildings with Semi-active Seismic Isolation Systems under Earthquake Loads, Istanbul University, PhD Disseration (unpublished).
 V.A., Matsagar, R.S., Jangid Impact Response of Torsionally Coupled Base-Isolated Structures, J Sound Vib Control, 2010; 16:1623-1649.
 F., Naeim, J.M., Kelly, Design Of Seismic Isolated Structures: From Theory to Practice, Mechanical Characteristics and Modeling of Isolators. New York, Wiley, 1999, 93-121.
 M., Crosby, R., Harwood, D., Karnopp, Vibration Control Using Semi-Active Force Generators, Journal of Engineering for Industry, 1974, 96(2), 619-626.
 N., Makris, S.P., Chang, Effect of Viscous, Viscoplastic And Friction Damping on the Response of Seismic Isolated Structures, Earthquake Engineering & Structural Dynamics, 2000, 29(1), 85-107.
 A., Agrawal, He., W., A Close-Form Approximation of Near-Fault Ground Motion Pulses for Flexible Structures. 2002, ASCE Engineering Mechanics Conference.
 W.L., He, A.K., Agrawal, Analytical Model of Ground Motion Pulses for the Design and Assessment of Seismic Protective Systems, Journal of Structural Engineering-ASCE, 2008, 134(7), 1177-1188.
 M., Dicleli, S., Buddaram, Equivalent Linear Analysis of Seismic-Isolated Bridges Subjected to Near-Fault Ground Motions With Forward Rupture Directivity Effect, Engineering Structures, 2007. 29(1), 21-32.
 P., Somerville, Development of an Improved Representation of Near Fault Ground Motions, SMIP98 Seminar on Utilization of Strong-Motion Data. 1998.
 MATLAB, The MathWorks Inc., 2016.
Cite this paper
S. Öncü-Davas, C. Alhan. (2017) Application of Monte-Carlo Simulation to Semi-Active Isolation Systems under Near-Fault Synthetic Earthquakes. International Journal of Mathematical and Computational Methods, 2, 307-314
Copyright © 2017 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0