Nonlinear rocking of rigid blocks on flexible foundation: analysis and experiments

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dc.citation.firstpage284
dc.citation.journalTitleProcedia Engineering
dc.citation.lastpage289
dc.citation.volumeNumber199
dc.contributor.authorSpanos, Pol D.
dc.contributor.authorDi Matteo, Alberto
dc.contributor.authorPirrotta, Antonina
dc.contributor.authorDi Paola, Mario
dc.date.accessioned2017-10-10T21:24:53Z
dc.date.available2017-10-10T21:24:53Z
dc.date.issued2017
dc.description.abstractPrimarily, two models are commonly used to describe rocking of rigid bodies; the Housner model, and the Winkler foundation model. The first deals with the motion of a rigid block rocking about its base corners on a rigid foundation. The second deals with the motion of a rigid block rocking and bouncing on a flexible foundation of distributed linear springs and dashpots (Winkler foundation). These models are two-dimensional and can capture some of the features of the physics of the problem.Clearly, there are additional aspects of the problem which may be captured by an enhanced nonlinear model for the base-foundation interaction. In this regard, what it is adopted in this paper is the Hunt-Crossley nonlinear impact force model in which the impact/contact force is represented by springs in parallel with nonlinear dampers. In this regard, a proper mathematical formulation is developed and the governing equations of motion are derived taking into account the possibility of uplifting in the case of strong excitation. The analytical study is supplemented by experimental tests conducted in the Laboratory of Experimental Dynamics at the University of Palermo, Italy. In this context, due to their obvious relevance for historical monuments, free-rocking tests are presented for several marble-block geometries on both rigid and flexible foundations. Numerical vis-à-vis experimental data are reported, supporting the usefulness and reliability of the proposed approach.
dc.identifier.citationSpanos, Pol D., Di Matteo, Alberto, Pirrotta, Antonina, et al.. "Nonlinear rocking of rigid blocks on flexible foundation: analysis and experiments." <i>Procedia Engineering,</i> 199, (2017) Elsevier: 284-289. https://doi.org/10.1016/j.proeng.2017.09.032.
dc.identifier.digitalNonlinear_rocking_rigid_blocks
dc.identifier.doihttps://doi.org/10.1016/j.proeng.2017.09.032
dc.identifier.urihttps://hdl.handle.net/1911/97784
dc.language.isoeng
dc.publisherElsevier
dc.rightsThis article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND) license
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.keywordrocking motion
dc.subject.keywordnonlinear contact model
dc.subject.keywordflexible foundation
dc.titleNonlinear rocking of rigid blocks on flexible foundation: analysis and experiments
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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