Simulation of spatially correlated earthquake ground motions for engineering purposes

Wu, Yongxin; Gao, Yufeng; Li, Dayong

doi:10.1007/s11803-011-0055-3

Cited by 34 publications

(6 citation statements)

References 26 publications

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“…Then, power spectral density matrix (PSDM) can be formed. By using the classical simulation method of SVEGMs proposed by Deodatis [18] in combination with the root decomposition [21,54] of the PSDM, fully non-stationary SVEGMs can then be generated by…”

Section: Simulation Of Fully Non-stationary Svegmsmentioning

confidence: 99%

Study on the Influence of a Soft Soil Interlayer on Spatially Varying Ground Motions

Yao

Miao

et al. 2022

Applied Sciences

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The existence of local soft interlayer can significantly amplify or attenuate the ground motion and thus might influence the lagged spatial coherency between spatially varying earthquake ground motions. A target site with a local soft interlayer was assumed first, and then two numerical examples were set. In example 1, linear soil behavior was considered and a large amount of quasi-stationary spatially varying earthquake ground motions were generated by combining the one-dimensional wave propagation theory and the classical spectral representation method. The influence regularity of varying shear wave velocity, buried depth, and thickness of the soft interlayer on the characteristics of lagged spatial coherency was investigated. In example 2, non-linear soil behavior was taken into account and fully non-stationary spatially varying earthquake ground motions were thus generated by using time-varying transfer function and spectral representation method. An overall evaluation was carried out to shed light on the differences of characteristics of spatial coherency between non-linear soil and linear soil cases. It showed that: (i) As the shear wave velocity of interlayer declines and as the buried depth and thickness increase, remarkable reduction of spatial coherency showed up; (ii) the reduction of lagged spatial coherency caused by varying buried depth may be more inclined to concentrate in the lower frequency range; (iii) the non-linear soil behavior can cause greater further reduction of lagged spatial coherency in comparison with linear soil behavior, especially in the higher frequency range; (iv) the troughs of lagged spatial coherency curve tend to be located in the variation range of vibration frequency of time-varying spectral ratio.

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Section: Simulation Of Fully Non-stationary Svegmsmentioning

confidence: 99%

Study on the Influence of a Soft Soil Interlayer on Spatially Varying Ground Motions

Yao

Miao

et al. 2022

Applied Sciences

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“…Equation (17) can represent Cholesky decomposition [Hao et al, 1989], eigen decomposition [Di. Paola and Zingales, 2000], and root decomposition [Wu et al, 2011].…”

Section: Unconditional Simulationmentioning

confidence: 99%

“…Earlier, Hao et al [1989] used the SRM to simulate spatially varying ground motions based on the Cholesky decomposition. Later, Di Paola and Zingales [2000] proposed a SRM based on the proper orthogonal decomposition, and Wu et al [2011] put forward another form of SRM based on the root decomposition. Deodatis [1996] used the SRM to simulate non stationary spatially varying ground motions consistent with target response spectrum.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Spatially Varying Ground Motions in V-shaped Symmetric Canyons

Gao

Zhang

et al. 2016

Journal of Earthquake Engineering

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A method of simulating spatially varying ground motions in V-shaped symmetric canyon is presented. The topographic amplification effect is taken into account by considering a 2-dimension wave propagation model. Two approaches are developed to simulate spatially varying ground motions. First, the spatially varying ground motions are simulated by using the power spectral density and an empirical coherency loss function. Second, the spatially varying ground motions are simulated by using given ground motions and an empirical coherency loss function. These two proposed methods are validated by comparing statistical characteristics of the synthetic motions with target theoretical models.

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“…Cacciola and Deodatis [5] proposed an SRM-based method to simulate multipoint correlated ground motions with complete nonstationarity and spectral compatibility. Based on the well-known uniform ground motion model, Wu et al [6] developed a new model for simulating multicorrelation ground motions for engineering purposes. Bi and Hao [7] utilized the SRM for the simulation of multicorrelation ground motions considering the site effect.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Nonseparable Nonstationary Spatially Varying Ground Motions with an Enhanced Interpolation Approximation Approach

Zhao

Peng

et al. 2022

Applied Sciences

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An enhanced interpolation approach is developed for simulating nonseparable nonstationary ground motions on the basis of the spectral representation method, which mainly contains two steps of interpolations and an optimization. Firstly, the interpolation technique is utilized to reduce the Cholesky decomposition time of the lagged coherence matrix. The square root of the evolutionary power spectral density is then decoupled into several time and frequency discrete functions using the proper orthogonal decomposition (POD) interpolation technique, which results in the availability of the fast Fourier transform (FFT) technique in the simulation. Compared with existing decoupling schemes, the POD interpolation achieves a significant efficiency improvement with a slight accuracy reduction. Finally, the simulation formula is further optimized to reduce the number of FFT operations. The accuracy and efficiency of this method are verified with the numerical examples of nonstationary ground motions simulation. Results show that the error introduced by two-step interpolations is fairly small and the simulation agrees with the targets very well. Furthermore, the efficiency generating sample function is significantly enhanced.

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Simulation of spatially correlated earthquake ground motions for engineering purposes

Cited by 34 publications

References 26 publications

Study on the Influence of a Soft Soil Interlayer on Spatially Varying Ground Motions

Study on the Influence of a Soft Soil Interlayer on Spatially Varying Ground Motions

Simulation of Spatially Varying Ground Motions in V-shaped Symmetric Canyons

Simulation of Nonseparable Nonstationary Spatially Varying Ground Motions with an Enhanced Interpolation Approximation Approach

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