Annals of Solid and Structural Mechanics

, Volume 11, Issue 1–2, pp 11–24 | Cite as

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

  • Nicholas D. OlivetoEmail author
  • Anastasia Athanasiou
Original Article


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.


Nonlinear dynamics Seismic isolation Convex optimization 



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

Compliance with ethical standards

Conflict of interest

All authors have read and approved submission of the manuscript. The manuscript has not been published nor is it being considered for publication by other journals. The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Civil and Architectural EngineeringUniversity of CataniaCataniaItaly
  2. 2.Department of Building, Civil and Environmental EngineeringConcordia UniversityMontrealCanada

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