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...

Full description

Bibliographic Details
Main Authors: Panxu Sun, Shuxia Wang, Dongwei Wang
Format: Article
Language:English
Published: SAGE Publishing 2022-12-01
Series:Journal of Low Frequency Noise, Vibration and Active Control
Online Access:https://doi.org/10.1177/14613484221108224
_version_ 1811237699773792256
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
work_keys_str_mv AT panxusun thenumericalcalculationmethodbasedonequivalentfrequencyindependenttimedomaindampingmodel
AT shuxiawang thenumericalcalculationmethodbasedonequivalentfrequencyindependenttimedomaindampingmodel
AT dongweiwang thenumericalcalculationmethodbasedonequivalentfrequencyindependenttimedomaindampingmodel
AT panxusun numericalcalculationmethodbasedonequivalentfrequencyindependenttimedomaindampingmodel
AT shuxiawang numericalcalculationmethodbasedonequivalentfrequencyindependenttimedomaindampingmodel
AT dongweiwang numericalcalculationmethodbasedonequivalentfrequencyindependenttimedomaindampingmodel