Combination of Spectral Representation and Wavelet Packets for Generating Long-Period Ground Motions

Far-field long-period ground motions (hereafter long-period ground motions) featuring low-frequency components are responsible for the resonant responses of high-rise buildings. In this context, it is beneficial to assess the dynamic performance of these buildings under long-period ground motions wi...

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Main Authors: Minghui Dai, Yingmin Li
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2020/2381080
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author Minghui Dai
Yingmin Li
author_facet Minghui Dai
Yingmin Li
author_sort Minghui Dai
collection DOAJ
description Far-field long-period ground motions (hereafter long-period ground motions) featuring low-frequency components are responsible for the resonant responses of high-rise buildings. In this context, it is beneficial to assess the dynamic performance of these buildings under long-period ground motions with the aid of time history analysis. This paper proposes a method for generating long-period motions by combining long-period components synthesized by spectral representation with high-frequency components simulated by wavelet packets. Later-arriving long-period surface waves (LALP surface waves), which are determined on the grounds of phase dispersion, represent the main long-period properties in sense of velocity spectrum at longer periods of interest. An analytical expression for power spectrum density is employed to capture the narrowband properties of LALP velocity surface waves. Meanwhile, modification of the Gaussian random process is performed in time and frequency domains to attain a modulated initial seed motion, which shows the variability of the targeted ground motion. A simulation of high-frequency components is accomplished by means of iteration, in which wavelet coefficients of the modulated seed motion are adjusted to match the targeted response spectrum and cumulative energy plot. Furthermore, comparisons between an ensemble of realizations and target motions demonstrate the feasibility of the proposed method to generate long-period simulations sharing similar properties to target motions.
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spelling doaj-art-d10ef421025d4c4ba0940d4aaa83f16a2025-08-20T02:19:54ZengWileyAdvances in Civil Engineering1687-80861687-80942020-01-01202010.1155/2020/23810802381080Combination of Spectral Representation and Wavelet Packets for Generating Long-Period Ground MotionsMinghui Dai0Yingmin Li1College of Civil Engineering, Chongqing University, Chongqing 400045, ChinaCollege of Civil Engineering, Chongqing University, Chongqing 400045, ChinaFar-field long-period ground motions (hereafter long-period ground motions) featuring low-frequency components are responsible for the resonant responses of high-rise buildings. In this context, it is beneficial to assess the dynamic performance of these buildings under long-period ground motions with the aid of time history analysis. This paper proposes a method for generating long-period motions by combining long-period components synthesized by spectral representation with high-frequency components simulated by wavelet packets. Later-arriving long-period surface waves (LALP surface waves), which are determined on the grounds of phase dispersion, represent the main long-period properties in sense of velocity spectrum at longer periods of interest. An analytical expression for power spectrum density is employed to capture the narrowband properties of LALP velocity surface waves. Meanwhile, modification of the Gaussian random process is performed in time and frequency domains to attain a modulated initial seed motion, which shows the variability of the targeted ground motion. A simulation of high-frequency components is accomplished by means of iteration, in which wavelet coefficients of the modulated seed motion are adjusted to match the targeted response spectrum and cumulative energy plot. Furthermore, comparisons between an ensemble of realizations and target motions demonstrate the feasibility of the proposed method to generate long-period simulations sharing similar properties to target motions.http://dx.doi.org/10.1155/2020/2381080
spellingShingle Minghui Dai
Yingmin Li
Combination of Spectral Representation and Wavelet Packets for Generating Long-Period Ground Motions
Advances in Civil Engineering
title Combination of Spectral Representation and Wavelet Packets for Generating Long-Period Ground Motions
title_full Combination of Spectral Representation and Wavelet Packets for Generating Long-Period Ground Motions
title_fullStr Combination of Spectral Representation and Wavelet Packets for Generating Long-Period Ground Motions
title_full_unstemmed Combination of Spectral Representation and Wavelet Packets for Generating Long-Period Ground Motions
title_short Combination of Spectral Representation and Wavelet Packets for Generating Long-Period Ground Motions
title_sort combination of spectral representation and wavelet packets for generating long period ground motions
url http://dx.doi.org/10.1155/2020/2381080
work_keys_str_mv AT minghuidai combinationofspectralrepresentationandwaveletpacketsforgeneratinglongperiodgroundmotions
AT yingminli combinationofspectralrepresentationandwaveletpacketsforgeneratinglongperiodgroundmotions