Extended Rayleigh Damping Model
In dynamic analysis, frequency domain analysis can be used if the entire structure is linear. However, time history analysis is generally used if nonlinear elements are present. Rayleigh damping has been widely used in time history response analysis. Many articles have reported the problems associat...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2016-07-01
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| Series: | Frontiers in Built Environment |
| Subjects: | |
| Online Access: | http://journal.frontiersin.org/Journal/10.3389/fbuil.2016.00014/full |
| _version_ | 1828411834304036864 |
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| author | Naohiro Nakamura |
| author_facet | Naohiro Nakamura |
| author_sort | Naohiro Nakamura |
| collection | DOAJ |
| description | In dynamic analysis, frequency domain analysis can be used if the entire structure is linear. However, time history analysis is generally used if nonlinear elements are present. Rayleigh damping has been widely used in time history response analysis. Many articles have reported the problems associated with this damping and suggested remedies. A basic problem is that the frequency area across which the damping ratio is almost constant is too narrow. If the area could be expanded while incurring only a small increase in computational cost, this would provide an appropriate remedy for this problem. In this study, a novel damping model capable of expanding the constant frequency area by more than five times was proposed based on the study of a causal damping model. This model was constructed by adding two terms to the Rayleigh damping model and can be applied to the linear elements in the time history analysis of a nonlinear structure. The accuracy and efficiency of the model were confirmed using example analyses. |
| first_indexed | 2024-12-10T12:38:05Z |
| format | Article |
| id | doaj.art-b778906d3fe64e30a7656f73c367182e |
| institution | Directory Open Access Journal |
| issn | 2297-3362 |
| language | English |
| last_indexed | 2024-12-10T12:38:05Z |
| publishDate | 2016-07-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Built Environment |
| spelling | doaj.art-b778906d3fe64e30a7656f73c367182e2022-12-22T01:48:37ZengFrontiers Media S.A.Frontiers in Built Environment2297-33622016-07-01210.3389/fbuil.2016.00014183825Extended Rayleigh Damping ModelNaohiro Nakamura0Hiroshima UniversityIn dynamic analysis, frequency domain analysis can be used if the entire structure is linear. However, time history analysis is generally used if nonlinear elements are present. Rayleigh damping has been widely used in time history response analysis. Many articles have reported the problems associated with this damping and suggested remedies. A basic problem is that the frequency area across which the damping ratio is almost constant is too narrow. If the area could be expanded while incurring only a small increase in computational cost, this would provide an appropriate remedy for this problem. In this study, a novel damping model capable of expanding the constant frequency area by more than five times was proposed based on the study of a causal damping model. This model was constructed by adding two terms to the Rayleigh damping model and can be applied to the linear elements in the time history analysis of a nonlinear structure. The accuracy and efficiency of the model were confirmed using example analyses.http://journal.frontiersin.org/Journal/10.3389/fbuil.2016.00014/fulllinear analysisRayleigh dampingTime history response analysisFrequency independencyCauusal hysteretic damping |
| spellingShingle | Naohiro Nakamura Extended Rayleigh Damping Model Frontiers in Built Environment linear analysis Rayleigh damping Time history response analysis Frequency independency Cauusal hysteretic damping |
| title | Extended Rayleigh Damping Model |
| title_full | Extended Rayleigh Damping Model |
| title_fullStr | Extended Rayleigh Damping Model |
| title_full_unstemmed | Extended Rayleigh Damping Model |
| title_short | Extended Rayleigh Damping Model |
| title_sort | extended rayleigh damping model |
| topic | linear analysis Rayleigh damping Time history response analysis Frequency independency Cauusal hysteretic damping |
| url | http://journal.frontiersin.org/Journal/10.3389/fbuil.2016.00014/full |
| work_keys_str_mv | AT naohironakamura extendedrayleighdampingmodel |