Approximate Method for Transverse Response Analysis of Partially Isolated Bridges
Publication: Journal of Bridge Engineering
Volume 18, Issue 11
Abstract
Current analysis procedures for seismically isolated bridges frequently use an equivalent (approximate) linearization approach to represent the response of nonlinear isolation/energy dissipation devices. Linearization allows standard linear elastic analysis methods, e.g., the response spectrum method, to be conveniently used for design purposes. The linearization approach is by nature an iterative method implying the need to repeatedly correct and analyze a numerical finite-element model. A further simplification could be achieved using closed form equations to represent (1) the structure displacement patterns and (2) the restoring forces from structural elements. The paper explores such a possibility with reference to partially isolated continuous bridges, i.e., bridges with isolation devices at piers and pinned supports at abutments. The role and effect of higher modes of vibration on the system response are discussed, and an approximate method is proposed to account for such effects. An improvement of the classical Jacobsen’s approximation for the effective viscous damping ratio is also proposed using the results of response history analyses. The latter are carried out on two-dimensional numerical models of five case studies, generated from a real existing bridge supposed to be isolated with friction pendulum devices. Comparison of approximate predictions with response history analysis results is presented and discussed. Nonlinear dynamic analyses of a three-dimensional numerical model of the existing bridge were also carried out for comparison purposes.
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Acknowledgments
This work was partially supported by the European Community, through the Project “Assessment of the seismic vulnerability of an old RC viaduct with frame piers and study of the effectiveness of different isolation systems through pseudo-dynamic test on a large scale model (RETRO),” funded within the 7th Framework Program by the Seismic Engineering Research Infrastructures for European Synergies (SERIES). Comments received by two anonymous reviewers are gratefully acknowledged. The authors also acknowledge stimulating discussions with Iunio Iervolino for the statistical assessment of the study results. The comments of the reviewers and the personal communications were very useful to significantly improve the paper quality.
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Published In
Journal of Bridge Engineering
Volume 18 • Issue 11 • November 2013
Pages: 1121 - 1130
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Jul 25, 2012
Accepted: Jan 30, 2013
Published online: Feb 1, 2013
Published in print: Nov 1, 2013
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