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Copyright © A.Di Egidio
Rigid Block
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UNIVERSITY OF L'AQUILA - ITALY
 Dynamics
 Thin walled beams
 Bifurcation, Stability
 Contact and Impact
 Rigid block
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D.I.C.E.A.A. - Dipartimento di Ingegneria Civile, Edile-Architettura e Ambientale
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3D Model
Passive Control
The rigid block, representing monolithic objects of art or rigid equipments, has been modelled as a three-dimesional rocking,  rectangular based body, by using the general balance principle. Several numerical investigation have been carried out to analyze the behaviour of the system under pulse-type and seismic excitations. It has been foud that in several ranges of the parameters characterizing the system, the 3D model of rigid block furnishes results in fovour of safety with respect to the well known 2D model.
 
 
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D. Zulli, A. Contento, A. Di Egidio, ‘Three-dimensional model of rigid block with a rectangular base subject to pulse-type excitation‘, Int. Journal of Non-Linear Mechanics, Vol. 47, pp. 679-687, 2012.
Numerical simulation:
(no overturning of the block)
(overturning of the block)
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Fig. 5.1: Displacements of the block during the rocking around the vertex C
Numerical simulation:
a1
a2
b1
b2
The seismic responce of a 3D rigid block, with rectangular base, has been investigated. The aim of the study is to observe if the rigid body exibits more dangerous conditions during a 3D rocking motion than those abserved during a simple 2D rocking motion. The study confirms that a 3D model must be used to better evaluate the seismic behaviour of rigid block.
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A. Di Egidio, D. Zulli, A. Contento, ‘Comparison between the seismic response of 2D and 3D models of rigid blocks’, Earthquake Engineering and Engineering Vibration, 2013, Vol. 13, pp. 151-162, 2014.
Fig. 5.2: Direction vs amplitude of the excitation. Brienza recorded accelerogram.
An experimental test is conducted to a square based rigid block to confirm the results obtained in Zulli et Al. Impulsive one-sine base forces are imposed to the rigid block through a linear electromagnetic motor, able to reproduce several types of base excitations. Results confirm the existence of angular regions where a 3D model of rigid block is necessary to correctly evaluate the overturning of the body.
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A. Di Egidio, R. Alaggio, A. Contento, Marco Tursini, E. Della Loggia, ‘Experimental characterization of the overturning of three-dimensional square based rigid block’, International Journal of Non-Linear Mechanics, Vol. 69, pp. 137-145, 2015.
Fig. 5.3: Experimental setup: (a) aluminium support; (b) wooden block; (c) Experimental apparatus.
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Video 1:
(no overturning of the block)
(overturning of the block)
Video 2:
v1
v2
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Active Control
 In progress
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Base isolation