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2D dynamic and earthquake response analysis of base isolation systems using a convex optimization framework

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Annals of Solid and Structural Mechanics

Abstract

A formulation is presented for the 2D dynamic analysis and earthquake response simulation of base isolation systems. The approach is force-based and consists of casting the computation in each time increment as a convex optimization problem. Interaction between the two horizontal components of response is considered in an elegant and simple way through yield functions appearing as constraints of the optimization problem. Numerical examples are carried out to illustrate the approach. These comprise bidirectional shearing of a high damping rubber bearing and earthquake simulations of a real-world base isolation system.

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Acknowledgements

The authors gratefully acknowledge financial support by ReLUIS (Italian National Network of University Earthquake Engineering Laboratories), ‘Project D.P.C-ReLUIS 2014–2018’.

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Authors and Affiliations

  1. Department of Civil and Architectural Engineering, University of Catania, Catania, Italy

    Nicholas D. Oliveto

  2. Department of Building, Civil and Environmental Engineering, Concordia University, Montreal, Canada

    Anastasia Athanasiou

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  1. Nicholas D. Oliveto
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  2. Anastasia Athanasiou
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Correspondence to Nicholas D. Oliveto.

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Oliveto, N.D., Athanasiou, A. 2D dynamic and earthquake response analysis of base isolation systems using a convex optimization framework. Ann. Solid Struct. Mech. 11, 11–24 (2019). https://doi.org/10.1007/s12356-019-00053-4

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  • DOI: https://doi.org/10.1007/s12356-019-00053-4

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