Analysis of restitution in rocking of single rigid blocks

Čeh, Nina; Jelenić, Gordan; Bícanić, Nenad

doi:10.1007/s00707-018-2246-8

Cited by 18 publications

(15 citation statements)

References 13 publications

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“…The comparison of the analytical solution of Equation ( 8) and the numerical one results in Figure 6: the elastic body continues to oscillate further as the bounding impact leads to a lower loss of energy. The difference in the response of the analytical and the numerical model is due to two factors: (i) the numerical model considers an elastic body, and (ii) the coefficient of restitution estimated by Housner [46] overestimates the energy loss due to bouncing [50][51][52].…”

Section: Rocking Responsementioning

confidence: 99%

Stochastic Dynamic Analysis of Cultural Heritage Towers up to Collapse

Kouris

Konstantinidis

et al. 2021

Buildings

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This paper deals with the seismic vulnerability of monumental unreinforced masonry (URM) towers, the fragility of which has not yet been sufficiently studied. Thus, the present paper fills this gap by developing models to investigate the seismic response of URM towers up to collapse. On mount Athos, Greece, there exist more than a hundred medieval towers, having served mainly as campaniles or fortifications. Eight representative towers were selected for a thorough investigation to estimate their seismic response characteristics. Their history and architectural features are initially discussed and a two-step analysis follows: (i) limit analysis is performed to estimate the collapse mechanism and the locations of critical cracks, (ii) non-linear explicit dynamic analyses are then carried out, developing finite element (FE) simulations, with cracks modelled as interfacial surfaces to derive the capacity curves. A meaningful definition of the damage states is proposed based on the characteristics of their capacity curves, with the ultimate limit state related to collapse. The onset of slight damage-state is characterised by the formation and development of cracks responsible for the collapse mechanism of the structure. Apart from these two, another two additional limit states are also specified: the moderate damage-state and the extensive one. Fragility and vulnerability curves are finally generated which can help the assessment and preservation of cultural heritage URM towers.

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Section: Rocking Responsementioning

confidence: 99%

Stochastic Dynamic Analysis of Cultural Heritage Towers up to Collapse

Kouris

Konstantinidis

et al. 2021

Buildings

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“…where I cm is the mass moment of inertia of the rocking block about its center of gravity and k is a dimensionless parameter that was estimated as k = 0.72 using experiments of free-standing concrete members, with one of those members representing SRWs. 34 More recently, Equation (2) was adopted in Čeh et al 35 to investigate r in small-scale free-standing aluminum blocks. This research study confirmed experimentally that the SRM overestimates r in these blocks and proposed an approach for estimating k as a function of the block's size and slenderness ratio.…”

Section: Simple Rocking Model and Improvementsmentioning

confidence: 99%

“…More recently, Equation was adopted in Čeh et al to investigate r in small‐scale free‐standing aluminum blocks. This research study confirmed experimentally that the SRM overestimates r in these blocks and proposed an approach for estimating k as a function of the block's size and slenderness ratio.…”

Section: Simple Rocking Model and Improvementsmentioning

confidence: 99%

Generalized dynamic analysis of structural single rocking walls (SRWs)

Kalliontzis

Schultz

Sritharan

2020

Earthq Engng Struct Dyn

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The investigation of structural single rocking walls (SRWs) continues to gain interest as they produce self-centering lateral load responses with reduced structural damage. The simple rocking model with modifications has been shown to capture these responses accurately if the SRW and its underlying base are infinitely rigid. This paper advances previous rocking models by accounting for (1) the inelastic actions at or near the base of the SRW and (2) the flexural responses within the wall. Included in the proposed advancements are hysteretic and inherent viscous damping associated with these two deformation components so that the total dynamic responses of SRWs can be captured with good accuracy. A system of nonlinear equations of motion is developed, in which the rocking base is discretized into fibers using a zerolength element to locate the associated compressive deformations and damage.The flexural deformations of the rocking body are captured using an elastic term, while the impact events are modeled using impulse-momentum equations. Comparisons with experiments of structural precast concrete and masonry SRWs show that the proposed approach accurately estimates the dynamic responses of different SRWs with and without unbonded posttensioning, for various dynamic excitations and degrees of hysteretic action. Using the proposed approach, a numerical investigation employs different configurations of structural SRWs to quantify the various sources of energy loss, including hysteretic action and impact damping, during various horizontal ground motions. K E Y W O R D Sfree rocking, hysteretic and impact damping, masonry, precast concrete, single rocking wall, unbonded posttensioning

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“…The rocking oscillator has been used to describe the dynamic behavior of free-standing equipment [4][5][6][7][8][9][10][11][12][13][14][15][16], masonry structures [17][18][19][20][21][22][23][24][25][26] and ancient temples [27][28][29][30][31][32][33][34]. Rocking is also a promising seismic response modification technique, both for bridges and buildings, with practical applications in the former USSR and New Zealand.…”

Section: Introductionmentioning

confidence: 99%

Numerical Modeling of Rocking and Sliding Cylindrical Columns Under Seismic Excitation

Katsamakas¹,

Vassiliou²

2021

Proceedings of the 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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This paper presents a finite element (FE) modeling approach for simulating the 3D response of a free-standing cylindrical column. The model is validated against experimental results, which involved testing of the cylindrical steel column under a set of 100 bidirectional ground motions. The specimen was free-standing and allowed to slide and rock in all directions. Both the tested specimen and the shake table platen were stiff enough to be modeled as rigid. The contact surface was modeled using Coulomb friction for the tangential behavior and stiff contact for the normal direction. Two energy dissipation mechanisms were modelled; friction and radiation damping. Since Rayleigh damping is not directly linked to the physical problem, it was set equal to zero. It has been proven that the response of a single column to an individual ground motion is a chaotic and unpredictable problem. Therefore, a statistical approach was utilized to compare the numerical to the experimental results, using the cumulative distribution function (CDF) for the main response quantities (i.e., maximum displacement at the top of the column and residual displacement), demonstrating satisfying agreement. The influence of the friction coefficient was assessed through an extensive sensitivity analysis using non-linear time-history analyses. Results proved that the statistics of the response only smoothly depend on the exact value of the friction coefficient even though the response to an individual ground motion seems chaotic.

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Analysis of restitution in rocking of single rigid blocks

Cited by 18 publications

References 13 publications

Stochastic Dynamic Analysis of Cultural Heritage Towers up to Collapse

Stochastic Dynamic Analysis of Cultural Heritage Towers up to Collapse

Generalized dynamic analysis of structural single rocking walls (SRWs)

Numerical Modeling of Rocking and Sliding Cylindrical Columns Under Seismic Excitation

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