Relative displacement response spectra with pounding effect

Ruangrassamee, Anat; Kawashima, Koichiro

doi:10.1002/eqe.75

Cited by 88 publications

(40 citation statements)

References 17 publications

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“…A further conclusion of the DesRoches & Muthukumar [15] work is that when the natural frequency and the excitation frequency are separated the one-sided impact is accentuated, whereas, impact suppresses the response of the oscillators at resonance. At about the same time an analogous study was conducted in Japan by Ruangrassame & Kawashima [16] who proposed the so-called 'relative displacement response spectrum with pounding effect'. Contrary to the work of DesRoches & Muthukumar the work of Ruangrassame & Kawashima concluded that in addition to the stiffness ratio and the period ratio, the mass ratio of the two oscillators governs appreciably the response.…”

Section: Introductionmentioning

confidence: 89%

“…[15], [8], [16]) The purpose of the following discussion is to reassess the significance of mass ratio (Π 6 ) on the response of oscillators with unilateral contact. Figure 8 and Figure 9 show the response spectra for constant frequency ratios, Π 5 = ω 0 / ω 1 , and dimensionless gaps, Π 3 = δω p 2 /α p , but different mass ratios, Π 6 = m 0 / m 1 , of the two oscillators.…”

Section: The Role Of M 0 /M 1 Ratiomentioning

confidence: 99%

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Dimensional analysis of the earthquake-induced pounding between inelastic structures

Dimitrakopoulos

Makris

Kappos

2010

Bull Earthquake Eng

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This is the accepted version of the paper.This version of the publication may differ from the final published version. Abstract In this paper the dynamic response of two and three pounding oscillators subjected to pulse type excitations is revisited with dimensional analysis. Using Buckingham's Π-theorem the number of variables that govern the response of the system is reduced by three. When the response is presented in the dimensionless Π-terms remarkable order emerges. It is shown that regardless of the acceleration level and duration of the pulse all response spectra become self-similar and follow a single master curve. This is true despite the realization of finite duration contacts with increasing durations as the excitation level increases. All physically realizable contacts (impacts, continuous contacts, and detachments) are captured via a linear complementarity approach. The study confirms the existence of three spectral regions. The response of the most flexible among the two oscillators amplifies in the low range of the frequency spectrum (flexible structures); whereas, the response of the most stiff among the two oscillators amplifies at the upper range of the frequency spectrum (stiff structures). Most importantly, the study shows that pounding structures such as colliding buildings or interacting bridge segments, may be most vulnerable for excitations with frequencies very different from their natural eigenfrequencies. Finally, by applying the concept of intermediate asymptotics, the study unveils that the dimensionless response of two pounding oscillators follows a scaling law with respect to the mass ratio, or in mathematical terms, that the response exhibits an incomplete selfsimilarity or self-similarity of the second kind with respect to the mass ratio. Permanent repository link

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Section: Introductionmentioning

confidence: 89%

Section: The Role Of M 0 /M 1 Ratiomentioning

confidence: 99%

Dimensional analysis of the earthquake-induced pounding between inelastic structures

Dimitrakopoulos

Makris

Kappos

2010

Bull Earthquake Eng

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“…The ÿrst one applies the classical theory of impact, called stereomechanics, which is based on the laws of conservation of energy and momentum and does not consider transient stresses and deformations in the impacting bodies [21][22][23]. The theory focuses on determination of postimpact velocities of colliding bodies based on the approaching velocities prior to contact and a coe cient of restitution which accounts for the energy dissipation during impact incorporating response non-linearities.…”

Section: Classical Theory Of Impactmentioning

confidence: 99%

Non-linear viscoelastic modelling of earthquake-induced structural pounding

Jankowski

2005

Earthquake Engng Struct. Dyn.

308

262

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SUMMARYPast severe earthquakes indicate that structural pounding may cause considerable damage or even lead to collapse of colliding structures if the separation distance between them is not su cient. Because of its complexity, modelling of impact is an extremely di cult task, however, the precise numerical model of pounding is essential if an accurate structural response is to be simulated. The aim of this paper is to analyse a non-linear viscoelastic model of collisions which allows more precise simulation of the structural pounding during earthquakes. The e ectiveness of the model is veriÿed by comparing the results of numerical analyses with the results of experiments conducted on pounding between di erent types of structures. The results of the study indicate that, compared to other models, the proposed non-linear viscoelastic model is the most precise one in simulating the pounding-involved structural response.

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“…However, as one of the important components of bridge, the aseismic behavior of expansion joints have long been neglected by researchers (Saiidi, 1996;Kawashima, 2000;Ruangrassamee, 2001;Zanardo, 2001;DesRoches, 2002) and the past papers have given importance to the enhancement of durability, cold resistance and noise-resistance of expansion joints. For example, Ancich et al studied the dynamic anomalies of the modular bridge expansion joints (Ancich, et al, 2006).…”

Section: Introductionmentioning

confidence: 99%

Seismic Performance of Cable-sliding Modular Expansion Joints Subject to Near-fault Ground Motion

Gao

Yuan

Cao

et al. 2015

Lat. Am. j. solids struct.

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According to the research fruits of the diverse damages of bridge in the past, bearings' invalidation is the main reason of the damage of isolated bridges and causes oversized relative displacements between pier and girder. Eventually, it may lead to severe collision of superstructure. It is extremely dangerous when near-fault motion occurs, because it has obvious velocity pulse effect and increases the risk of colliding between girders.Aiming at this problem, this paper puts forward a device named cable-sliding modular expansion joints (CMEJs) that can control the relative displacement and avoid collision. The working principle and mechanical model are described, and then based on a triple continuous seismic isolation bridge which has different heights of piers, a 3D model with or without CMEJs is established. The responses of continuous beam bridges using the CMEJs are comprehensively inspected under the consideration of the velocity pulse effect, and then a real simulation of limit performance of CMEJs is made, focused on CMEJs' restraining effect.The calculation shows that velocity pulse effect would magnify the seismic response of isolation bridges. In addition, the device can well control the displacement and prevent collisions. And the isolation technology combined with CMEJs can be more effective to play their respective roles. The advantage in controlling displacement is obvious. Keywords near-fault ground motion, the effect in limiting relative displacement; cable-sliding modular expansion joints (CMEJs), seismic isolation bridge, velocity pulse effect

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Relative displacement response spectra with pounding effect

Cited by 88 publications

References 17 publications

Dimensional analysis of the earthquake-induced pounding between inelastic structures

Dimensional analysis of the earthquake-induced pounding between inelastic structures

Non-linear viscoelastic modelling of earthquake-induced structural pounding

Seismic Performance of Cable-sliding Modular Expansion Joints Subject to Near-fault Ground Motion

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