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Optimum Design of Lead-Rubber Bearing System Under the Non-Stationary Random Earthquake Ground Motion

J. Fan, X. H. Long, and L. Li
School of Civil Engineering and Mechanics, Hubei Key Laboratory of Control Structure, Huazhong University of Science and Technology, Wuhan, China

Abstract—In this study, we used a non-stationary random earthquake Clough-Penzien model to describe earthquake ground motion. Using stochastic direct integration in combination with an equivalent linear method, we established a solution for the non-stationary response of Lead-Rubber Bearing (LRB) system to a stochastic earthquake. We used two parameters to develop an optimization method for bearing design: the post-yielding stiffness and the normalized yield strength of the isolation bearing. Using the minimization of the maximum energy absorption level of the upper structure subjected to an earthquake as an objective function, and with the constraints that the bearing failure probability is no more than 5% and the second shape factor of the bearing is less than 5, we present a calculation method for the two optimal design parameters. In this optimization process, the Radial Basis Function (RBF) response surface was applied, instead of the implicit objective function and constraints, and a Sequential Quadratic Programming (SQP) algorithm was used to solve the optimization problems.
Index Terms—seismic isolation structure, optimal design; Lead-Core Rubber Bearing (LRB), stochastic analysis

Cite: J. Fan, X. H. Long, and L. Li, "Optimum Design of Lead-Rubber Bearing System Under the Non-Stationary Random Earthquake Ground Motion," International Journal of Structural and Civil Engineering Research, Vol. 4, No. 3, pp. 243-247, August 2015. doi: 10.18178/ijscer.4.3.243-247