000012572 001__ 12572
000012572 005__ 20160920162630.0
000012572 04107 $$aeng
000012572 046__ $$k2016-09-05
000012572 100__ $$aCasapulla, C.
000012572 24500 $$aA simplified equation of motion for free rocking rigid blocks

000012572 24630 $$n6.$$pInsights and Innovations in Structural Engineering, Mechanics and Computation
000012572 260__ $$bTaylor and Francis Group, London, UK
000012572 506__ $$arestricted
000012572 520__ $$2eng$$aIn this paper a novel formulation for the free rocking motion of slender rigid blocks is proposed and compared with the classical theory. In particular, it is assumed that the free motion between two subsequent impacts can be represented as a uniformly accelerated/decelerated motion and an ad hoc approximation is introduced to evaluate the constant acceleration at each half cycle. The dissipation of energy at each impact is represented by the coefficient of restitution, herein considered as a variable parameter in order to take into account different damping effects. The limits of validity of the proposed formulation are tested through an extensive comparison with the results obtained by Housner model in terms of moment-rotation relationship, critical angular velocity, normalized amplitude and duration of the half-cycles. The comparison is also developed in terms of time histories of non-dimensional angular acceleration, velocity and displacement confirming a good agreement with Housner model.

000012572 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000012572 653__ $$a

000012572 7112_ $$aSixth International Conference on Structural Engineering, Mechanics and Computation$$cCape Town, South Africa$$d2016-09-05 / 2016-09-07$$gSEMC2016
000012572 720__ $$aCasapulla, C.$$iMaione, A.
000012572 8560_ $$ffischerc@itam.cas.cz
000012572 8564_ $$s981607$$uhttps://invenio.itam.cas.cz/record/12572/files/020.pdf$$yOriginal version of the author's contribution as presented on CD, 020.pdf.
000012572 962__ $$r12552
000012572 980__ $$aPAPER