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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 109
PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE ON SOFT COMPUTING TECHNOLOGY IN CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING
Edited by: Y. Tsompanakis, J. Kruis and B.H.V. Topping
Paper 25

Optimal Design of Floor Isolation Systems subject to Multiple Reliability Criteria utilizing Kriging Surrogate Modeling

I. Gidaris and A.A. Taflanidis

Department of Civil and Environmental Engineering and Earth Sciences, University of Notre Dame, United States of America

Full Bibliographic Reference for this paper
I. Gidaris, A.A. Taflanidis, "Optimal Design of Floor Isolation Systems subject to Multiple Reliability Criteria utilizing Kriging Surrogate Modeling", in Y. Tsompanakis, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Fourth International Conference on Soft Computing Technology in Civil, Structural and Environmental Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 25, 2015. doi:10.4203/ccp.109.25
Keywords: floor isolation, reliability-based design, multi-criteria optimal design, kriging surrogate modelling, stochastic simulation, epsilon-constraint optimization.

Summary
A multi-criteria design framework for floor isolation systems (FISs) is developed in this paper integrating (i) risk-based concepts for quantifying seismic performance with (ii) new surrogate modelling approaches for calculating this probabilistic performance and supporting an efficient optimization. The design problem is formulated considering two different objectives related to the FIS reliability, the latter quantified through a probabilistic description for the seismic hazard utilizing a stochastic ground motion modelling approach. The first objective corresponds to the probability that the protected content's acceleration will exceed acceptable performance bounds and the second one to the probability that the displacement demand for the seismic gap (to support the unobstructed vibration of the FIS) will exceed available allowances. Stochastic simulation is employed for estimating these reliability objectives, supporting the adoption of complex numerical and probability models for risk quantification, whereas a kriging surrogate modelling framework is established that (i) simultaneously supports the uncertainty propagation and the design optimization (metamodel is built in the augmented uncertain parameter and design variable space) and (ii) accommodates the aforementioned hazard characterization that relies on a high-dimensional stochastic representation (statistical simplifications are adopted to address this representation). To further improve the computational efficiency of the numerical optimization a gradient-based approach is formulated. This is established by first exploiting the ability of the kriging metamodel to provide the derivatives of the system response to calculate the gradient of the different reliability objectives, and then by solving the multi-objective optimization problem using the epsilon-constraint method, directly utilizing this derivative information. As an illustrative example, the design of different floor isolation systems for the protection of a computer server is presented.

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