Modelling the dynamics of large block structures

Augusti, Giuliano; Sinopoli, Anna

doi:10.1007/bf00430045

Cited by 64 publications

(37 citation statements)

References 20 publications

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“…In fact, very surprising and interesting peculiarities, such as quasi-periodic and chaotic response or heteroclinic bifurcations among others, have been found for this system [2][3][4][5]. From a practical point of view, RM is a powerful approach to reveal the dynamic response of monolith columns, rock aggregates, and, in general, most ancient masonry structures [6]. Maintenance and repair of historical buildings has emerged as a recent and active ÿeld of interest for the scientiÿc and technical communities with a great importance for society in general.…”

Section: The Rocking Motionmentioning

confidence: 95%

“…The correct parameter-stability analysis of the problem can only be performed in terms of the phase space and parameter stability studies. Several authors [2,4,6] have determined stability regions in the phase space, which are far outside the scope of the present contribution. Here, the main interest focuses on how the response is qualitatively reproduced using Delta interactions, highlighting at the same time the convenience for a probabilistic treatment of the parameters involved.…”

Section: Comparisons With Experimental Datamentioning

confidence: 97%

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Impulsive Dirac‐delta forces in the rocking motion

Prieto

Lourenço

Oliveira

2004

Earthq Engng Struct Dyn

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SUMMARYIn this work the classical theory of one block rocking motion is revisited. A Dirac-delta type interaction as impact mechanism is found to be an alternative for the traditional model. Numerical computations with this new formulation have shown that the agreement with the classical theory is excellent for the case of slender blocks and small displacements. Good agreement with experimental data has also been found for the case of arbitrary angles and slenderness.The approach presented in this paper opens new lines for further theoretical developments and computational applications.

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Section: The Rocking Motionmentioning

confidence: 95%

Section: Comparisons With Experimental Datamentioning

confidence: 97%

Impulsive Dirac‐delta forces in the rocking motion

Prieto

Lourenço

Oliveira

2004

Earthq Engng Struct Dyn

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“…This work also proposed an empirical value of period which, for shorter periods of excitation, leads to acceleration demand that significantly increases overturning susceptibility. It is well known that rocking structures are also particularly vulnerable to long-period ground motions and more precisely, to the persistence of the pulse (Ishiyama 1984;Spanos and Koh 1984;Augusti and Sinopoli 1992;Manos and Demosthenous 1996;Konstantinidis and Makris 2005;Manos et al 2013). In tall buildings, which are similarly vulnerable to long periods, the Peak Ground Velocity (PGV) was found to be a more efficient IM compared to the Peak Ground Acceleration (PGA) or Spectral acceleration (Sa) (Sehhati et al 2011).…”

Section: Introductionmentioning

confidence: 99%

Efficiency of alternative intensity measures for the seismic assessment of monolithic free-standing columns

Pappas

Sextos

Porto

et al. 2016

Bull Earthquake Eng

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This paper deals with the dynamic response of a free-standing ancient column in the Roman Agora of Thessaloniki, Greece as a means to shed more light on the complex behaviour of rocking bodies under seismic excitation. Numerical analyses utilizing discrete element method were carried out with the use of multiple seismic records selected based on the disaggregation of the seismic hazard for the region of interest. To identify their impact on structural performance, earthquake Intensity Measures, such as Peak Ground Acceleration and Peak Ground Velocity are examined for the case of a column that sustained no visible permanent deformations during the Ms = 6.5 Thessaloniki earthquake of 1978. The analysis revealed a weak correlation of PGA and PGV with the response results and a significant influence of the mean frequency (f m ) of the seismic motion. No coupling was found between the maximum displacement of the top during the oscillation and the permanent post-seismic deformations. The complementarity of both earthquake Intensity Measures in the structural vulnerability assessment is also depicted.

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“…The rocking response of a rigid block has been studied, in various scientific fields, for over a century (Augusti & Sinopoli 1992). The significant amount of analytical research focused on the steady-state response under harmonic loading (Hogan 1990) probably stems from the concept that a constant frequency excitation can cause resonance.…”

Section: Introductionmentioning

confidence: 99%

Revisiting the rocking block: closed-form solutions and similarity laws

2012

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In this paper, the dynamic response of the rocking block subjected to base excitation is revisited. The goal is to offer new closed-form solutions and original similarity laws that shed light on the fundamental aspects of the rocking block. The focus is on the transient dynamics of the rocking block under finite-duration excitations. An alternative way to describe the response of the rocking block, informative of the behaviour of rocking structures under excitations of different intensity, is offered. In the process, limitations of standard dimensional analysis, related to the orientations of the involved physical quantities, are revealed. The proposed dimensionless and orientationless groups condense the response and offer a lucid depiction of the rocking phenomenon. When expressed in the appropriate dimensionless-orientationless groups, the rocking response becomes perfectly self-similar for slender blocks (within the small rotations range) and practically self-similar for non-slender blocks (larger rotations). Using this formulation, the nonlinear and non-smooth rocking response to pulse-type ground motion can be directly determined, and need only be scaled by the intensity and frequency of the excitation.

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Modelling the dynamics of large block structures

Cited by 64 publications

References 20 publications

Impulsive Dirac‐delta forces in the rocking motion

Impulsive Dirac‐delta forces in the rocking motion

Efficiency of alternative intensity measures for the seismic assessment of monolithic free-standing columns

Revisiting the rocking block: closed-form solutions and similarity laws

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