The effect of axial loads on free vibration of symmetric frame structures using continuous system method
The free vibration of frame structures has been usually studied in literature without considering the effect of axial loads. In this paper, the continuous system method is employed to investigate this effect on the free flexural and torsional vibration of two and three dimensional symmetric frames....
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Iranian Society of Structrual Engineering (ISSE)
2016
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oai:doaj.org-article:5561fd0643db48c7a7b8f84bde5c34db2021-11-08T15:45:57ZThe effect of axial loads on free vibration of symmetric frame structures using continuous system method2476-39772538-2616https://doaj.org/article/5561fd0643db48c7a7b8f84bde5c34db2016-09-01T00:00:00Zhttps://www.jsce.ir/article_38576_dc39f286d3b1de9582415d73318287bf.pdfhttps://doaj.org/toc/2476-3977https://doaj.org/toc/2538-2616The free vibration of frame structures has been usually studied in literature without considering the effect of axial loads. In this paper, the continuous system method is employed to investigate this effect on the free flexural and torsional vibration of two and three dimensional symmetric frames. In the continuous system method, in approximate analysis of buildings, commonly, the structure is replaced by an equivalent beam which matches the dominant characteristics of the structure. Accordingly, the natural frequencies of the symmetric frame structures are obtained through solving the governing differential equation of the equivalent beam whose stiffness and mass are supposed to be uniformly distributed along the length. The corresponding axial load applied to the replaced beam is calculated based on the total weight and the number of stories of the building. A numerical example is presented to show the simplicity and efficiency of the proposed solution.Elham GhandiBehzad RafezyIranian Society of Structrual Engineering (ISSE)articleaxial loadcontinuous system methodframe structuresfree flexuraltorsional vibrationBridge engineeringTG1-470Building constructionTH1-9745FAJournal of Structural and Construction Engineering, Vol 3, Iss 2, Pp 86-100 (2016) |
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axial load continuous system method frame structures free flexural torsional vibration Bridge engineering TG1-470 Building construction TH1-9745 |
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axial load continuous system method frame structures free flexural torsional vibration Bridge engineering TG1-470 Building construction TH1-9745 Elham Ghandi Behzad Rafezy The effect of axial loads on free vibration of symmetric frame structures using continuous system method |
description |
The free vibration of frame structures has been usually studied in literature without considering the effect of axial loads. In this paper, the continuous system method is employed to investigate this effect on the free flexural and torsional vibration of two and three dimensional symmetric frames. In the continuous system method, in approximate analysis of buildings, commonly, the structure is replaced by an equivalent beam which matches the dominant characteristics of the structure. Accordingly, the natural frequencies of the symmetric frame structures are obtained through solving the governing differential equation of the equivalent beam whose stiffness and mass are supposed to be uniformly distributed along the length. The corresponding axial load applied to the replaced beam is calculated based on the total weight and the number of stories of the building. A numerical example is presented to show the simplicity and efficiency of the proposed solution. |
format |
article |
author |
Elham Ghandi Behzad Rafezy |
author_facet |
Elham Ghandi Behzad Rafezy |
author_sort |
Elham Ghandi |
title |
The effect of axial loads on free vibration of symmetric frame structures using continuous system method |
title_short |
The effect of axial loads on free vibration of symmetric frame structures using continuous system method |
title_full |
The effect of axial loads on free vibration of symmetric frame structures using continuous system method |
title_fullStr |
The effect of axial loads on free vibration of symmetric frame structures using continuous system method |
title_full_unstemmed |
The effect of axial loads on free vibration of symmetric frame structures using continuous system method |
title_sort |
effect of axial loads on free vibration of symmetric frame structures using continuous system method |
publisher |
Iranian Society of Structrual Engineering (ISSE) |
publishDate |
2016 |
url |
https://doaj.org/article/5561fd0643db48c7a7b8f84bde5c34db |
work_keys_str_mv |
AT elhamghandi theeffectofaxialloadsonfreevibrationofsymmetricframestructuresusingcontinuoussystemmethod AT behzadrafezy theeffectofaxialloadsonfreevibrationofsymmetricframestructuresusingcontinuoussystemmethod AT elhamghandi effectofaxialloadsonfreevibrationofsymmetricframestructuresusingcontinuoussystemmethod AT behzadrafezy effectofaxialloadsonfreevibrationofsymmetricframestructuresusingcontinuoussystemmethod |
_version_ |
1718441661183295488 |