A Simplified Model to Evaluate the Dynamic Rocking Behavior of Irregular Free-Standing Rigid Bodies Calibrated with Experimental Shaking-Table Tests

Arredondo, Cesar; Jaimes, Miguel Á.; Reinoso, Eduardo

doi:10.1080/13632469.2017.1309601

Cited by 17 publications

(3 citation statements)

References 51 publications

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“…As a very early study in this area, Housner [12] proposed a seminal framework to evaluate the seismic response of a solitary rigid block placed on a rigid base. Following this pioneering work, investigators over the world have endeavored to evaluate the rocking response of freestanding blocks, including experimental [13][14][15][16][17][18][19][20][21][22][23][24] and numerical approaches [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]. Early researchers have observed that a rocking motion has extremely complex dynamic characteristics and is barely "nonrepeatable" [40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

An Intensity Measure for the Rocking Fragility Analysis of Rigid Blocks Subjected to Floor Motions

2023

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A novel intensity measure (IM), dimensionless floor displacement, is presented for evaluating the seismic fragility of freestanding rigid blocks subjected to one-sine acceleration pulses in this paper. The rocking responses of rigid blocks are simulated using an equivalent single-degree-of-freedom (SDOF) model with a bespoke discrete damper to account for energy dissipation. The performance of various IMs is compared using simulation results for four different block models under different excitation conditions. In comparison to some well-known IMs, the proposed IM, determined by excitation magnitude and frequency as well as block geometry parameters, displays a considerably stronger correlation with the peak rotation of the rocking block. The comparative results show that effective IMs should consider not only the excitation characteristics but also the block geometric parameters. Finally, the fragility curve generated by the proposed IM performs best by significantly reducing the dispersion.

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Section: Introductionmentioning

confidence: 99%

An Intensity Measure for the Rocking Fragility Analysis of Rigid Blocks Subjected to Floor Motions

2023

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“…However, certain geometric and interface combinations yield a more stable top block (also named "tower") in a dual-body configuration compared to a single-body configuration, because of the dependence of the pedestal response on the geometry of the tower. Irregular free-standing dual-blocks subjected to earthquake motions were also studied experimentally and numerically by Arredondo et al, 40 Al Abadi et al, 41 Khalid Saifullah et al, 42 and Anagnostopoulos et al 43 Experimental shaking-table tests were carried out on modular prototypes, which allow the replication of representative mass distributions, sizes, and/or slenderness ratios for typical objects. The tests were used to calibrate the numerical model.…”

Section: Introductionmentioning

confidence: 99%

Seismic assessment of free‐standing artifacts: Full‐scale tests on large shake table

Bertó

Sarno

Fragiadakis

et al. 2023

Earthq Engng Struct Dyn

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Recent severe earthquakes highlighted the high vulnerability of artistic assets. Thus, the seismic assessment and formulation of preservation strategies of artifacts are key challenges of modern earthquake engineering, which require theoretical and experimental investigations. The present paper discusses the outcomes from large scale shake table tests carried out on full‐scale free‐standing artifacts. The study is also aimed at evaluating the reliability of existing simplified formulations to predict the rocking motion activation. Emphasis is on prototypes of marble busts with solid and hollow pedestals with different geometries. Comprehensive tests were performed within “Seismic Resilience of Museum Contents” (SEREME) project, which was recently funded by H2020 Framework Programme – Seismology and Earthquake Engineering Research Infrastructure Alliance for Europe (SERA). Uniaxial and biaxial earthquake natural records with different amplitudes and frequency contents were considered to assess the rocking motion of the sample specimens. Response parameters such as uplift, horizontal and vertical accelerations, angular velocity were measured to assess the rocking response of the sample freestanding busts and pedestals. Coefficients of amplification (CAF) of acceleration were also computed. The value of CAF showed that for solid pedestals they were not significantly influenced by peak ground acceleration (PGA) and earthquake type. Conversely, hollow pedestals, which were characterized by larger values of CAF than solid counterparts, ranging between 1 and 7, were affected by PGA and earthquake characteristics. Finally, the outcomes of the presented shake table tests showed that uplifts and angular velocity are effective measures for assessing rocking occurrence of tested artifacts.

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“…Several researchers have made an initial step toward irregular geometries by studying block geometries and including parameters to account for eccentricity in the center of mass compared with the geometric center of the block (Plaut et al 1996;Zulli et al 2012;Boroschek and Romo 2004;Arredondo et al 2017;Abadi et al 2017). However, these models have omitted sliding and 3 Burton, June 19, 2023 free flight.…”

Section: Introductionmentioning

confidence: 99%

Modeling the Planar Rocking of a Rigid Body with Irregular Geometry

Burton

Chatzis

2023

J. Eng. Mech.

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The non-linear dynamics of rocking rigid bodies with simple geometries such as rectangular blocks and cylinders have been the focus of the rocking community over the last six decades.However, many objects that are prone to rocking or overturning do not conform to such geometries. These objects include museum artifacts and precariously balanced rocks in the natural world. Even in cases where the response of the rocking body is planar, the geometry of the body is much more complicated than the commonly studied geometry of a rocking block or a body with only two rocking corners. This paper introduces a complete model that can examine the planar motion of a body with an irregular in-plane polygonal geometry when subjected to a vibrational excitation utilizing the geometry of the body as an input, e.g., in the form of a stereolithography (STL) file. The model is used for studying the rocking response of an object while taking into account sliding and free flight. The problem is formulated and solved using Newtonian equations of motion and impacts are treated as hard. A robust framework for integrating the occurring discontinuous equations of motion and detecting transitions between patterns of motion and impacts, using Matlab, is presented. Suitably chosen examples demonstrate the importance of accounting for the actual geometry of the rocking body studied, whose dynamic response is substantially richer than an object with simplified geometry.

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A Simplified Model to Evaluate the Dynamic Rocking Behavior of Irregular Free-Standing Rigid Bodies Calibrated with Experimental Shaking-Table Tests

Cited by 17 publications

References 51 publications

An Intensity Measure for the Rocking Fragility Analysis of Rigid Blocks Subjected to Floor Motions

An Intensity Measure for the Rocking Fragility Analysis of Rigid Blocks Subjected to Floor Motions

Seismic assessment of free‐standing artifacts: Full‐scale tests on large shake table

Modeling the Planar Rocking of a Rigid Body with Irregular Geometry

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