A New Method to Calculate Additional Damping Ratio considering the Effect of Excitation Frequency

The additional damping ratio (ADR) is an important indicator for evaluating the damping effect of structures with energy-dissipation devices. Most existing methods for determining the ADR require an analysis of the structural dynamic response and complex iterative calculations. An innovative simplif...

Full description

Saved in:
Bibliographic Details
Main Authors: Weizhi Xu, Dongsheng Du, Shuguang Wang, Weiwei Li
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2020/3172982
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832568475710652416
author Weizhi Xu
Dongsheng Du
Shuguang Wang
Weiwei Li
author_facet Weizhi Xu
Dongsheng Du
Shuguang Wang
Weiwei Li
author_sort Weizhi Xu
collection DOAJ
description The additional damping ratio (ADR) is an important indicator for evaluating the damping effect of structures with energy-dissipation devices. Most existing methods for determining the ADR require an analysis of the structural dynamic response and complex iterative calculations. An innovative simplified calculation method for determining the ADR of a structure supplemented by nonlinear viscous dampers is proposed. This method does not require the dynamic response of the structure to be calculated and only requires the structural characteristics, excitation frequency, and damper parameters. In this study, several typical calculation methods for the ADR were analysed. Then, a calculation formula for the ADR was derived with consideration of harmonic excitation under the condition where the excitation frequency is equal to the structural natural frequency, without calculation of the structural dynamic response or an iterative process. The effect of the excitation frequency on the calculated value of the ADR with different damping exponents was studied. Accordingly, the response spectrum average period (RSAP) was considered as the excitation period of ground motion to evaluate the excitation frequency, and a simplified calculation method for the ADR considering the effect of the excitation frequency characterised by the RSAP of the ground motion was established. Finally, the accuracy and effectiveness of the proposed method were verified by comparison with ADRs calculated using other methods.
format Article
id doaj-art-109f04e8cbdc411a92fc9d5565feaf24
institution Kabale University
issn 1687-8086
1687-8094
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Advances in Civil Engineering
spelling doaj-art-109f04e8cbdc411a92fc9d5565feaf242025-02-03T00:58:57ZengWileyAdvances in Civil Engineering1687-80861687-80942020-01-01202010.1155/2020/31729823172982A New Method to Calculate Additional Damping Ratio considering the Effect of Excitation FrequencyWeizhi Xu0Dongsheng Du1Shuguang Wang2Weiwei Li3College of Civil Engineering, Nanjing Tech University, Nanjing 211816, ChinaCollege of Civil Engineering, Nanjing Tech University, Nanjing 211816, ChinaCollege of Civil Engineering, Nanjing Tech University, Nanjing 211816, ChinaCollege of Civil Engineering, Nanjing Tech University, Nanjing 211816, ChinaThe additional damping ratio (ADR) is an important indicator for evaluating the damping effect of structures with energy-dissipation devices. Most existing methods for determining the ADR require an analysis of the structural dynamic response and complex iterative calculations. An innovative simplified calculation method for determining the ADR of a structure supplemented by nonlinear viscous dampers is proposed. This method does not require the dynamic response of the structure to be calculated and only requires the structural characteristics, excitation frequency, and damper parameters. In this study, several typical calculation methods for the ADR were analysed. Then, a calculation formula for the ADR was derived with consideration of harmonic excitation under the condition where the excitation frequency is equal to the structural natural frequency, without calculation of the structural dynamic response or an iterative process. The effect of the excitation frequency on the calculated value of the ADR with different damping exponents was studied. Accordingly, the response spectrum average period (RSAP) was considered as the excitation period of ground motion to evaluate the excitation frequency, and a simplified calculation method for the ADR considering the effect of the excitation frequency characterised by the RSAP of the ground motion was established. Finally, the accuracy and effectiveness of the proposed method were verified by comparison with ADRs calculated using other methods.http://dx.doi.org/10.1155/2020/3172982
spellingShingle Weizhi Xu
Dongsheng Du
Shuguang Wang
Weiwei Li
A New Method to Calculate Additional Damping Ratio considering the Effect of Excitation Frequency
Advances in Civil Engineering
title A New Method to Calculate Additional Damping Ratio considering the Effect of Excitation Frequency
title_full A New Method to Calculate Additional Damping Ratio considering the Effect of Excitation Frequency
title_fullStr A New Method to Calculate Additional Damping Ratio considering the Effect of Excitation Frequency
title_full_unstemmed A New Method to Calculate Additional Damping Ratio considering the Effect of Excitation Frequency
title_short A New Method to Calculate Additional Damping Ratio considering the Effect of Excitation Frequency
title_sort new method to calculate additional damping ratio considering the effect of excitation frequency
url http://dx.doi.org/10.1155/2020/3172982
work_keys_str_mv AT weizhixu anewmethodtocalculateadditionaldampingratioconsideringtheeffectofexcitationfrequency
AT dongshengdu anewmethodtocalculateadditionaldampingratioconsideringtheeffectofexcitationfrequency
AT shuguangwang anewmethodtocalculateadditionaldampingratioconsideringtheeffectofexcitationfrequency
AT weiweili anewmethodtocalculateadditionaldampingratioconsideringtheeffectofexcitationfrequency
AT weizhixu newmethodtocalculateadditionaldampingratioconsideringtheeffectofexcitationfrequency
AT dongshengdu newmethodtocalculateadditionaldampingratioconsideringtheeffectofexcitationfrequency
AT shuguangwang newmethodtocalculateadditionaldampingratioconsideringtheeffectofexcitationfrequency
AT weiweili newmethodtocalculateadditionaldampingratioconsideringtheeffectofexcitationfrequency