Simplified procedure for simulating spatially correlated earthquake ground motions

Shama, Ayman A.

doi:10.1016/j.engstruct.2006.04.018

Cited by 21 publications

(16 citation statements)

References 25 publications

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“…Correlated earthquake ground motions Shama (2007) developed an approach for the simulation of spatially correlated ground motions statistically analogous with a reference record. George (1996a) presented the general procedure for the generation of non-stationary stochastic vectors, whether there is a record or not.…”

Section: Dynamic Equations For Multi-supported Excitationmentioning

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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Section: Dynamic Equations For Multi-supported Excitationmentioning

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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“…Next, we show that the modified spectral moments, λ ′ qþ2;ikk , can be used for the computation of the spectral moments of the response. From Equation (16), (19), and (23), we have…”

Section: Spectral Moments Of Dynamic Responsementioning

confidence: 99%

Modal response analysis of multi‐support structures using a random vibration approach

Heredia‐Zavoni

Santa-Cruz

Silva-González

2015

Earthq Engng Struct Dyn

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Summary A formulation is developed for modal response analysis of multi‐support structures using a random vibration approach. The spectral moments of the structural response are rigorously decomposed into contributions from spectral moments of uncoupled modal responses. An advantage of the proposed formulation is that the total dynamic response can be obtained on the basis of mode by mode uncoupled analyses. The contributions to the total response from modal responses under individual support ground motions and under cross‐correlated pairs of support ground motions can be recognized explicitly. The application and performance of the formulation is illustrated by means of an example using a well‐established coherency spectrum model and widely known power spectra models, such as white noise and Kanai–Tajimi. The first three spectral moments of displacement, shear, and bending moment responses are computed, showing that the formulation produces the same results as the exact solution. Copyright © 2015 John Wiley & Sons, Ltd.

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“…Technological advances in sensors and other data recording mechanisms have led to an increased need to efficiently and accurately analyse multivariate time series. Areas of research where such methods are commonly required include economics (Rua and Nunes 2009), medicine (Cribben 2012), telecommunications (Bardwell, Eckley, Fearnhead, Smith, and Spott 2016) and environmental science (Shama 2007). Historically, one might approach such a multivariate time series challenge by making the assumption that the underlying process was second order stationary.…”

Section: Introductionmentioning

confidence: 99%

Multivariate Locally Stationary Wavelet Analysis with the mvLSW R Package

Taylor¹,

Park²,

Eckley³

2019

J. Stat. Soft.

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This paper describes the R package mvLSW. The package contains a suite of tools for the analysis of multivariate locally stationary wavelet (LSW) time series. Key elements include: (i) the simulation of multivariate LSW time series for a given multivariate evolutionary wavelet spectrum (EWS); (ii) estimation of the time-dependent multivariate EWS for a given time series; (iii) estimation of the time-dependent coherence and partial coherence between time series channels; and, (iv) estimation of approximate confidence intervals for multivariate EWS estimates. A demonstration of the package is presented via both a simulated example and a case study with EuStockMarkets from the datasets package. This paper has been accepted by the Journal of Statistical Software. Presented code extracts demonstrating the mvLSW package is performed under version 1.2.1.

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Simplified procedure for simulating spatially correlated earthquake ground motions

Cited by 21 publications

References 25 publications

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

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

Modal response analysis of multi‐support structures using a random vibration approach

Multivariate Locally Stationary Wavelet Analysis with the mvLSW R Package

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