The numerical calculation method based on equivalent frequency-independent time-domain damping model
In order to realize the time-domain analysis based on hysteretic damping model, the frequency-independent time-domain damping model of single degree of freedom (SDOF) system is constructed. Based on the assumed relationship of vibration responses, the equivalent frequency-independent time-domain dam...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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SAGE Publishing
2022-12-01
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Series: | Journal of Low Frequency Noise, Vibration and Active Control |
Online Access: | https://doi.org/10.1177/14613484221108224 |
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author | Panxu Sun Shuxia Wang Dongwei Wang |
author_facet | Panxu Sun Shuxia Wang Dongwei Wang |
author_sort | Panxu Sun |
collection | DOAJ |
description | In order to realize the time-domain analysis based on hysteretic damping model, the frequency-independent time-domain damping model of single degree of freedom (SDOF) system is constructed. Based on the assumed relationship of vibration responses, the equivalent frequency-independent time-domain damping model in complex domain and real domain are proposed. The characteristic that the dissipated energy in each cycle is not related to the vibration frequency of external excitation is retained for the two equivalent damping models. Combined with Newmark- β method, the corresponding numerical methods are obtained. The numerical examples show that the free vibration responses are stably convergent based on equivalent damping models. The numerical results of vibration responses of SDOF system due to earthquake wave have high calculation accuracy. Compared with equivalent frequency-independent time-domain damping model in real domain, the computational accuracy of equivalent frequency-independent time-domain damping model in complex domain is higher, and the computational efficiency is lower. |
first_indexed | 2024-04-12T12:27:54Z |
format | Article |
id | doaj.art-976682054191458390fda3a01fb0df0d |
institution | Directory Open Access Journal |
issn | 1461-3484 2048-4046 |
language | English |
last_indexed | 2024-04-12T12:27:54Z |
publishDate | 2022-12-01 |
publisher | SAGE Publishing |
record_format | Article |
series | Journal of Low Frequency Noise, Vibration and Active Control |
spelling | doaj.art-976682054191458390fda3a01fb0df0d2022-12-22T03:33:07ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462022-12-014110.1177/14613484221108224The numerical calculation method based on equivalent frequency-independent time-domain damping modelPanxu SunShuxia WangDongwei WangIn order to realize the time-domain analysis based on hysteretic damping model, the frequency-independent time-domain damping model of single degree of freedom (SDOF) system is constructed. Based on the assumed relationship of vibration responses, the equivalent frequency-independent time-domain damping model in complex domain and real domain are proposed. The characteristic that the dissipated energy in each cycle is not related to the vibration frequency of external excitation is retained for the two equivalent damping models. Combined with Newmark- β method, the corresponding numerical methods are obtained. The numerical examples show that the free vibration responses are stably convergent based on equivalent damping models. The numerical results of vibration responses of SDOF system due to earthquake wave have high calculation accuracy. Compared with equivalent frequency-independent time-domain damping model in real domain, the computational accuracy of equivalent frequency-independent time-domain damping model in complex domain is higher, and the computational efficiency is lower.https://doi.org/10.1177/14613484221108224 |
spellingShingle | Panxu Sun Shuxia Wang Dongwei Wang The numerical calculation method based on equivalent frequency-independent time-domain damping model Journal of Low Frequency Noise, Vibration and Active Control |
title | The numerical calculation method based on equivalent frequency-independent time-domain damping model |
title_full | The numerical calculation method based on equivalent frequency-independent time-domain damping model |
title_fullStr | The numerical calculation method based on equivalent frequency-independent time-domain damping model |
title_full_unstemmed | The numerical calculation method based on equivalent frequency-independent time-domain damping model |
title_short | The numerical calculation method based on equivalent frequency-independent time-domain damping model |
title_sort | numerical calculation method based on equivalent frequency independent time domain damping model |
url | https://doi.org/10.1177/14613484221108224 |
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