Modelling rocking response via equivalent viscous damping

Tomassetti, Umberto; Graziotti, Francesco; Sorrentino, Luigi; Penna, Andrea

doi:10.1002/eqe.3182

Cited by 15 publications

(27 citation statements)

References 52 publications

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“…DeJong ( 2009) simulated the rocking block with corner spring-dashpots adopting a SDR damping formulation to critically damp either the axial frequency, the corner frequency, or the rotational frequency. Recently, Tomassetti et al (2019) followed a calibration process of a single degree of freedom (SDOF) analytical formulation of rocking structures adopting different formulations of viscous models (i.e., CDC, CDR, and SDR), and the influences on the response of additional parameters, such as the interface stiffness, rocking amplitude, and aspect ratio, were also investigated.…”

Section: Energy Dissipationmentioning

confidence: 99%

“…Importantly, the aforementioned proposals are based either on simplified SDOF analytical schemes (Anagnostopoulos 2004;Giannini and Masiani 1990;Imanishi et al 2012;Priestley et al 1978;Tomassetti et al 2019) or their equivalence with the COR has been omitted (DeJong 2009). In fact, a meticulous investigation on the energy loss equivalence between the viscous damping model used in block-based numerical simulations and the classical rocking (COR) theory is still lacking from the literature, despite the widespread use of numerical models in the last decades.…”

Section: Energy Dissipationmentioning

confidence: 99%

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Numerical Block-Based Simulation of Rocking Structures Using a Novel Universal Viscous Damping Model

et al. 2021

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Unreinforced masonry structures, particularly façade walls, are seismically vulnerable due to their weak connections with adjacent walls, floors, and/or roofs. During an earthquake, such walls formulate local mechanisms prone to out-of-plane collapse. This behavior has been largely investigated using classical rocking theory, which assumes the structure responds as a rigid body undergoing rocking motion, with energy dissipation at impact. Due to the complexity of the problem, however, e.g., number of degrees of freedom or boundary conditions, numerical block-based modeling is gaining momentum. However, numerical models lack a consistent and reliable treatment of the energy loss at impact. This paper bridges the gap between the well-established energy loss of classical rocking theory and the treatment of damping in numerical modeling. Specifically, it proposes an equivalent viscous damping model through novel ready-to-use predictive equations that capture the dissipative phenomena during both one-sided and two-sided planar rocking motion. The results reveal a satisfactory performance of the proposed model through comparisons with experimental results from literature and highlight its universality and robustness through applications of the model in fundamentally different block-based numerical modeling software.

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Section: Energy Dissipationmentioning

confidence: 99%

Section: Energy Dissipationmentioning

confidence: 99%

Numerical Block-Based Simulation of Rocking Structures Using a Novel Universal Viscous Damping Model

et al. 2021

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“…Rocking simulations using SP damping have been recommended by several authors (DeJong, 2009, Tomassetti et al, 2019 because MP damping may introduce overdamped low frequencies and result in unrealistic results. However, a systematic approach has not yet been developed to assign the value of SP damping for a 1SR wall.…”

Section: Validation Of Damping Parameters For Rocking Façadesmentioning

confidence: 99%

Using DEM to Investigate Boundary Conditions for Rocking URM Facades Subjected to Earthquake Motion

et al. 2021

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Façade overturning is a frequently observed collapse mechanism occurring in unreinforced masonry (URM) buildings during high-intensity earthquake-induced shaking.Following complete separation from a building, the rocking motion of a URM façade and the associated impact against the return walls are the factors that continue to contribute to the façade out-of-plane capacity. Seismic vulnerability studies of URM façades have historically neglected the interaction between building earthquake response and the rocking response of the façade, whereas in the study reported herein this interaction was analysed using the discrete element modelling (DEM) approach, resulting in a façade out-of-plane capacity reduction. The increment in the dynamic rocking capacity caused by the frictional connection between the URM façade and the building was also analysed and is reported.

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“…For this type of mechanism, the value of the coefficient of restitution is between 0.84 and 0.90 from experimental tests (Graziotti et al 2016). This model, does neither include progressive damage (Doherty et al 2002) nor an energy damping term (Tomassetti et al 2019). In this paper, the analytical formulation (Eq.…”

Section: Two Block Mechanismmentioning

confidence: 99%

Fragility functions for local failure mechanisms in unreinforced masonry buildings: a typological study in Ferrara, Italy

Nale

Minghini

Chiozzi

et al. 2021

Bull Earthquake Eng

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Unreinforced masonry buildings undergoing seismic actions often exhibit local failure mechanisms which represent a serious life-safety hazard, as recent strong earthquakes have shown. Compared to new buildings, older unreinforced masonry buildings are more vulnerable, not only because they have been designed without or with limited seismic loading requirements, but also because horizontal structures and connections amid the walls are not always effective. Also, Out-Of-Plane (OOP) mechanisms can be caused by significant slenderness of the walls even if connections are effective. The purpose of this paper is to derive typological fragility functions for unreinforced masonry walls considering OOP local failure mechanisms. In the case of slender walls with good material properties, the OOP response can be modeled with reference to an assembly of rigid bodies undergoing rocking motion. In particular, depending on its configuration, a wall is assumed either as a single rigid body undergoing simple one-sided rocking or a system of two coupled rigid bodies rocking along their common edge. A set of 44 ground motions from earthquake events occurred from 1972 to 2017 in Italy is used in this study. The likelihood of collapse is calculated via Multiple Stripe Analysis (MSA) from a given wall undergoing a specific ground motion. Then, the single fragility functions are suitably combined to define a typological fragility function for a class of buildings. The procedure is applied to a historical aggregate in the city center of Ferrara (Italy) as a case study. The fragility functions developed in this research can be a helpful tool for assessing seismic damage and economic losses in unreinforced masonry buildings on a regional scale.

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Modelling rocking response via equivalent viscous damping

Cited by 15 publications

References 52 publications

Numerical Block-Based Simulation of Rocking Structures Using a Novel Universal Viscous Damping Model

Numerical Block-Based Simulation of Rocking Structures Using a Novel Universal Viscous Damping Model

Using DEM to Investigate Boundary Conditions for Rocking URM Facades Subjected to Earthquake Motion

Fragility functions for local failure mechanisms in unreinforced masonry buildings: a typological study in Ferrara, Italy

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