A METHOD FOR DETERMINING RAYLEIGH DAMPING PARAMETERS OF COMPLEX FIELD

Rayleigh damping model, which is still adopted by manygeneral finite element programs and widely used in analysis of engineering, leads to the inconformity of the calculating modal damping ratio with the actual modal damping ratios. The appropriate Rayleigh dampin...

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Main Authors: Huai-feng Wang, Ru-lin Zhang
Format: Article
Language:English
Published: Czech Technical University, Prague 2019-10-01
Series:Civil Engineering Journal
Subjects:
Online Access:https://doi.org/10.14311/CEJ.2019.03.0034
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author Huai-feng Wang
Ru-lin Zhang
author_facet Huai-feng Wang
Ru-lin Zhang
author_sort Huai-feng Wang
collection DOAJ
description Rayleigh damping model, which is still adopted by manygeneral finite element programs and widely used in analysis of engineering, leads to the inconformity of the calculating modal damping ratio with the actual modal damping ratios. The appropriate Rayleigh damping matrix is significant for accurate dynamic response analysis of complicated field. This paper establishes a dual parameter optimization theory for calculation of Rayleigh damping coefficients. The functional relation between the relative error of dynamic response and Rayleigh damping coefficients is established based on CQC method. By taking the square sum of the errors of peak value of displacement and the error of peak value of acceleration at the multiple points (DOF) of the surface of the complex site as the control objective, the equations for solving Rayleigh damping coefficients are obtained based on the principle of minimizing the control objective. Then, as an example, the seismic response of a valley under the excitation of 28 representative seismic waves which are randomly selected is calculated and the error due to Rayleigh damping model is analysed. The numerical result verifies the accuracy and applicability of the proposed method.
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spelling doaj.art-e831254e62eb42b59e9b8dd4cda602712023-09-03T03:29:54ZengCzech Technical University, PragueCivil Engineering Journal1805-25762019-10-012019342043410.14311/CEJ.2019.03.0034A METHOD FOR DETERMINING RAYLEIGH DAMPING PARAMETERS OF COMPLEX FIELDHuai-feng Wang0Ru-lin Zhang1Xiamen University of Technology, School of Civil Engineering and Architecture, No. 600Ligong Road,Xiamen, ChinaChina University of Petroleum, College of Pipeline and Civil Engineering, Qingdao, No. 66 Changjiang West Road, ChinaRayleigh damping model, which is still adopted by manygeneral finite element programs and widely used in analysis of engineering, leads to the inconformity of the calculating modal damping ratio with the actual modal damping ratios. The appropriate Rayleigh damping matrix is significant for accurate dynamic response analysis of complicated field. This paper establishes a dual parameter optimization theory for calculation of Rayleigh damping coefficients. The functional relation between the relative error of dynamic response and Rayleigh damping coefficients is established based on CQC method. By taking the square sum of the errors of peak value of displacement and the error of peak value of acceleration at the multiple points (DOF) of the surface of the complex site as the control objective, the equations for solving Rayleigh damping coefficients are obtained based on the principle of minimizing the control objective. Then, as an example, the seismic response of a valley under the excitation of 28 representative seismic waves which are randomly selected is calculated and the error due to Rayleigh damping model is analysed. The numerical result verifies the accuracy and applicability of the proposed method.https://doi.org/10.14311/CEJ.2019.03.0034rayleigh dampingdamping parameterscomplicated fieldseismic response analysis
spellingShingle Huai-feng Wang
Ru-lin Zhang
A METHOD FOR DETERMINING RAYLEIGH DAMPING PARAMETERS OF COMPLEX FIELD
Civil Engineering Journal
rayleigh damping
damping parameters
complicated field
seismic response analysis
title A METHOD FOR DETERMINING RAYLEIGH DAMPING PARAMETERS OF COMPLEX FIELD
title_full A METHOD FOR DETERMINING RAYLEIGH DAMPING PARAMETERS OF COMPLEX FIELD
title_fullStr A METHOD FOR DETERMINING RAYLEIGH DAMPING PARAMETERS OF COMPLEX FIELD
title_full_unstemmed A METHOD FOR DETERMINING RAYLEIGH DAMPING PARAMETERS OF COMPLEX FIELD
title_short A METHOD FOR DETERMINING RAYLEIGH DAMPING PARAMETERS OF COMPLEX FIELD
title_sort method for determining rayleigh damping parameters of complex field
topic rayleigh damping
damping parameters
complicated field
seismic response analysis
url https://doi.org/10.14311/CEJ.2019.03.0034
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