An Analytical Method for Elastic Seismic Response of Structures Considering the Effect of Ground Motion Duration

The response to earthquake ground motion is composed of three basic elements, namely, amplitude, frequency, and duration. The seismic response of a structure is controlled by the particular combination of these three elements. The seismic response spectra reflect the earthquake ground motion’s frequ...

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Autores principales: Qianqian Liang, Chen Zhao, Jun Hu, Hui Zeng
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Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:33de9a2e922b43ca8674cae976aff1562021-11-25T16:41:43ZAn Analytical Method for Elastic Seismic Response of Structures Considering the Effect of Ground Motion Duration10.3390/app1122109492076-3417https://doaj.org/article/33de9a2e922b43ca8674cae976aff1562021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/22/10949https://doaj.org/toc/2076-3417The response to earthquake ground motion is composed of three basic elements, namely, amplitude, frequency, and duration. The seismic response of a structure is controlled by the particular combination of these three elements. The seismic response spectra reflect the earthquake ground motion’s frequency-domain features and provide the maximum response amplitude of a single-degree-of-freedom system to a given earthquake ground motion but do not consider the duration factor. However, the analysis of post-earthquake damage shows that the seismic response duration has a strong impact on the damage to structures. Therefore, it is necessary to develop a simple and practical analytical method to account for the seismic response duration. The present study was conducted based on the response spectra theory. We introduce an analytical method of elastic seismic response, which considers its duration by adding the time-domain dimension of earthquakes. The time-domain spectral matrix is used to solve the time-dependent seismic response through the vibration mode decomposition method. The time-domain vibration mode decomposition reaction spectrum not only takes into account the maximum seismic reaction of each vibration mode but also considers the seismic reaction of different vibration modes occurring at the same time, at each moment. The dynamic time duration of the structure’s seismic reaction is quantified by the time-domain seismic reaction spectrum to obtain a more accurate analysis method for the seismic reaction of the structure.Qianqian LiangChen ZhaoJun HuHui ZengMDPI AGarticleseismic influence coefficientresponse spectral matrixtime-dependent responsevibration mode decompositionground motion durationTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10949, p 10949 (2021)
institution DOAJ
collection DOAJ
language EN
topic seismic influence coefficient
response spectral matrix
time-dependent response
vibration mode decomposition
ground motion duration
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
spellingShingle seismic influence coefficient
response spectral matrix
time-dependent response
vibration mode decomposition
ground motion duration
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
Qianqian Liang
Chen Zhao
Jun Hu
Hui Zeng
An Analytical Method for Elastic Seismic Response of Structures Considering the Effect of Ground Motion Duration
description The response to earthquake ground motion is composed of three basic elements, namely, amplitude, frequency, and duration. The seismic response of a structure is controlled by the particular combination of these three elements. The seismic response spectra reflect the earthquake ground motion’s frequency-domain features and provide the maximum response amplitude of a single-degree-of-freedom system to a given earthquake ground motion but do not consider the duration factor. However, the analysis of post-earthquake damage shows that the seismic response duration has a strong impact on the damage to structures. Therefore, it is necessary to develop a simple and practical analytical method to account for the seismic response duration. The present study was conducted based on the response spectra theory. We introduce an analytical method of elastic seismic response, which considers its duration by adding the time-domain dimension of earthquakes. The time-domain spectral matrix is used to solve the time-dependent seismic response through the vibration mode decomposition method. The time-domain vibration mode decomposition reaction spectrum not only takes into account the maximum seismic reaction of each vibration mode but also considers the seismic reaction of different vibration modes occurring at the same time, at each moment. The dynamic time duration of the structure’s seismic reaction is quantified by the time-domain seismic reaction spectrum to obtain a more accurate analysis method for the seismic reaction of the structure.
format article
author Qianqian Liang
Chen Zhao
Jun Hu
Hui Zeng
author_facet Qianqian Liang
Chen Zhao
Jun Hu
Hui Zeng
author_sort Qianqian Liang
title An Analytical Method for Elastic Seismic Response of Structures Considering the Effect of Ground Motion Duration
title_short An Analytical Method for Elastic Seismic Response of Structures Considering the Effect of Ground Motion Duration
title_full An Analytical Method for Elastic Seismic Response of Structures Considering the Effect of Ground Motion Duration
title_fullStr An Analytical Method for Elastic Seismic Response of Structures Considering the Effect of Ground Motion Duration
title_full_unstemmed An Analytical Method for Elastic Seismic Response of Structures Considering the Effect of Ground Motion Duration
title_sort analytical method for elastic seismic response of structures considering the effect of ground motion duration
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/33de9a2e922b43ca8674cae976aff156
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