The effect of spatially varying earthquake ground motions on the stochastic response of bridges isolated with friction pendulum systems

Ateş, Şevket; Bayraktar, Alemdar; Dumanoglu, A. Aydin

doi:10.1016/j.soildyn.2005.08.002

Cited by 35 publications

(12 citation statements)

References 15 publications

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“…The power spectral density of the response is found by applying the definition (2) to the above equation [22][23][24]: SEISMIC RESPONSE OF LINEAR ACCELERATORS Phys. Rev.…”

Section: Dynamic Response Of a Linear Accelerator To Spatially Varmentioning

confidence: 99%

Seismic response of linear accelerators

Collette

Artoos

Guinchard

et al. 2010

Phys. Rev. ST Accel. Beams

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This paper is divided into two parts. The first part presents recent measurements of ground motion in the LHC tunnel at CERN. From these measurements, an update of the ground motion model currently used in accelerator simulations is presented. It contains new features like a model of the lateral motion and the technical noise. In the second part, it is shown how this model can be used to evaluate the seismic response of a linear accelerator in the frequency domain. Then, the approach is validated numerically on a regular lattice, taking the dynamic behavior of the machine alignment stage and the mechanical stabilization of the quadrupoles into account.

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“…The power spectral density of the response is found by applying the definition (2) to the above equation [22][23][24]: SEISMIC RESPONSE OF LINEAR ACCELERATORS Phys. Rev.…”

Section: Dynamic Response Of a Linear Accelerator To Spatially Varmentioning

confidence: 99%

Seismic response of linear accelerators

Collette

Artoos

Guinchard

et al. 2010

Phys. Rev. ST Accel. Beams

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“…There are several models for correlation function (Atesa et al 2006), such as the Hao model, the Abrahamson model, the Nakamura and Yamazaki models, and the QWW model (Qu et al 1996). The QWW model shown in Equation (12) is adopted in this article.…”

Section: Model For Correlation Functionmentioning

confidence: 99%

Seismic response analysis of a double-deck long-span cable-stayed bridge under multi-support excitations

Jiao¹,

Li²,

Wu³

et al. 2013

Journal of the Chinese Institute of Engineers

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In this article, the effect of earthquake ground motions, especially spatially varying motion, on the seismic response of a long-span double-deck cable-stayed bridge is investigated. Static and dynamic response analyses, with the focus on internal forces on web members, are carried out on the Shanghai Minpu Bridge which is the longest long-span double-deck cable-stayed highway bridge. Firstly, a program for the generation of multiground motions has been developed, based on the multivariate stochastic processes of the weighted amplitude wave superposition method in FORTRAN. Secondly, a refined finite element model composed of beam and shell elements and a simplified model using equivalent beam elements to model girders of the bridge are established in ABAQUS. Geometrical nonlinear static analysis is performed to get initial equilibrium configuration of the bridge for both the above models. Modal analysis is carried out on the initial equilibrium configuration and the natures of mode shapes for the refined model are discussed in detail. The dynamic response analyses under two groups of uniform seismic excitation indicate that the two models result in approximately identical results. Thirdly, the effect of nonlinear viscous dampers, located between the tower and the girder, on movement due to seismic excitation is investigated on the simplified model under uniform excitation. Results show that the dampers magnify the shear force and moment on lower tower columns in the longitudinal direction, but have relatively small effect on the upper tower columns. The shear force and moment of the tower base increase with the damping coefficient in a certain range. Finally, the characteristics of internal force for towers, subsidiary piers, and web members (vertical and oblique web members and side oblique chords) under multipoint excitation are examined. It is concluded that the abrupt changes on the shear envelope curves at the intersection of the tower column and the lower transverse beam are aroused due to the eight nonlinear fluid viscous dampers. The lateral moment of the subsidiary piers increases with the distance from the tower to subsidiary piers. The maximum axial forces of web members of side-span vary acutely, especially those of the vertical and oblique members close to the piers. For side oblique chords, the maximum axial force is uniformly distributed with the exception of members at the piers and the mid-span sections. Therefore, attention should be paid to the fluctuation forces of cables in seismic analysis of long-span cable-stayed bridges, since the uplift of girder ends may cause severe damage to bridges.

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“…The former degrees of freedom will be denoted henceforth as the vector v g , and the latter as v r . Here, the subscript g denotes the ground degrees of freedom and r denotes the response degrees of freedom [6,7,23].…”

Section: Equation Of Motionmentioning

confidence: 99%

“…Harichandran et al [6] performed stationary and non-stationary stochastic response analysis of suspension and deck arch bridges to spatially varying earthquake ground motions. Ates et al [7] studied a comprehensive investigation of the effect of spatially varying earthquake ground motions on the stochastic response of bridges isolated with single concave friction pendulum systems. They underlined the importance of the effect of spatially varying earthquake ground motions on the response of long span structures.…”

Section: Introductionmentioning

confidence: 99%

Seismic behaviour of isolated multi-span continuous bridge to nonstationary random seismic excitation

Ateş

2011

Nonlinear Dyn

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This paper concentrates on the results of responses of a multi-span continuous bridge isolated with double concave friction pendulum bearings subjected to non-stationary random seismic excitation characterized by the incoherence, the wave-passage, and the site-response effects. The earthquake excitation is modelled as a non-stationary random process as uniformly modulated broad-band excitation. To perform the seismic isolation procedure, the double concave friction pendulum bearings which are sliding devices that utilize two spherical concave surfaces are placed at each of the six support points of the deck. The non-stationary response of the isolated bridge is compared with the corresponding stationary response in order to study the effects of non-stationary characteristics of the earthquake input motion. Solutions obtained from the stationary and non-stationary stochastic analyses for the isolated bridge to spatially varying earthquake ground motions are compared for the special cases of the earthquake ground motion model. The spatially varying earthquake ground motions are described stochastically based on an empirical coherency loss function and a filtered power spectral density function. The site effect is considered by a transfer function derived from one dimensional wave propagation theory. It is observed that the stationary assump-S. Ates ( ) tion is reasonable for the considered ground motion duration.

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The effect of spatially varying earthquake ground motions on the stochastic response of bridges isolated with friction pendulum systems

Cited by 35 publications

References 15 publications

Seismic response of linear accelerators

Seismic response of linear accelerators

Seismic response analysis of a double-deck long-span cable-stayed bridge under multi-support excitations

Seismic behaviour of isolated multi-span continuous bridge to nonstationary random seismic excitation

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