Determination by analytical approach of the characteristics in free vibration of a complex asymmetric structure
In this paper, a new analytical calculation method is presented to study the free vibration behavior of a tall building structure with constant properties over its entire height. The proposed calculation method is based on Alembert's principle, and the continuum approach of a structure composed...
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Format: | Article |
Language: | English |
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Mouloud Mammeri University of Tizi-Ouzou
2022-04-01
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Series: | Journal of Materials and Engineering Structures |
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Online Access: | http://revue.ummto.dz/index.php/JMES/article/view/2439 |
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author | Meriem Elbatoul DIB Abdelkader BENANANE Taieb BRANCI Baghdad KROUR |
author_facet | Meriem Elbatoul DIB Abdelkader BENANANE Taieb BRANCI Baghdad KROUR |
author_sort | Meriem Elbatoul DIB |
collection | DOAJ |
description | In this paper, a new analytical calculation method is presented to study the free vibration behavior of a tall building structure with constant properties over its entire height. The proposed calculation method is based on Alembert's principle, and the continuum approach of a structure composed of walls, frames, and structural cores arranged asymmetrically according to the plane of the floor. The main idea of the present model is to associate both the coupling effect of the flexural stiffness and the shear stiffness in the differential equations governing the free vibration behavior of the structure. The analysis focuses on the determination of the free coupled vibration characteristics. According to the two orthogonal directions, the lateral bending-shear vibrations are coupled to the torsional vibrations of St-Venant. A generalized solution method is proposed using the Galerkin approach to determine the frequencies and associated mode shapes of coupled free vibration structures. The obtained results were in good agreement with those found in the literature. |
first_indexed | 2024-12-12T00:59:02Z |
format | Article |
id | doaj.art-6c148a9596d5485abab58f9634f0f538 |
institution | Directory Open Access Journal |
issn | 2170-127X |
language | English |
last_indexed | 2024-12-12T00:59:02Z |
publishDate | 2022-04-01 |
publisher | Mouloud Mammeri University of Tizi-Ouzou |
record_format | Article |
series | Journal of Materials and Engineering Structures |
spelling | doaj.art-6c148a9596d5485abab58f9634f0f5382022-12-22T00:43:47ZengMouloud Mammeri University of Tizi-OuzouJournal of Materials and Engineering Structures2170-127X2022-04-01915161996Determination by analytical approach of the characteristics in free vibration of a complex asymmetric structureMeriem Elbatoul DIB0Abdelkader BENANANE1Taieb BRANCI2Baghdad KROUR3AbdelHamid Ibn Badis University- Mostaganem- AlgeriaAbdelHamid Ibn Badis University- Mostaganem- AlgeriaHassiba Ben Bouali UniversityLaboratory of structures and advanced materials in civil engineering and public works. University Djillali Liabes of Sidi bel AbbesIn this paper, a new analytical calculation method is presented to study the free vibration behavior of a tall building structure with constant properties over its entire height. The proposed calculation method is based on Alembert's principle, and the continuum approach of a structure composed of walls, frames, and structural cores arranged asymmetrically according to the plane of the floor. The main idea of the present model is to associate both the coupling effect of the flexural stiffness and the shear stiffness in the differential equations governing the free vibration behavior of the structure. The analysis focuses on the determination of the free coupled vibration characteristics. According to the two orthogonal directions, the lateral bending-shear vibrations are coupled to the torsional vibrations of St-Venant. A generalized solution method is proposed using the Galerkin approach to determine the frequencies and associated mode shapes of coupled free vibration structures. The obtained results were in good agreement with those found in the literature.http://revue.ummto.dz/index.php/JMES/article/view/2439asymmetrical configuration free vibration coupled freqencies tall building |
spellingShingle | Meriem Elbatoul DIB Abdelkader BENANANE Taieb BRANCI Baghdad KROUR Determination by analytical approach of the characteristics in free vibration of a complex asymmetric structure Journal of Materials and Engineering Structures asymmetrical configuration free vibration coupled freqencies tall building |
title | Determination by analytical approach of the characteristics in free vibration of a complex asymmetric structure |
title_full | Determination by analytical approach of the characteristics in free vibration of a complex asymmetric structure |
title_fullStr | Determination by analytical approach of the characteristics in free vibration of a complex asymmetric structure |
title_full_unstemmed | Determination by analytical approach of the characteristics in free vibration of a complex asymmetric structure |
title_short | Determination by analytical approach of the characteristics in free vibration of a complex asymmetric structure |
title_sort | determination by analytical approach of the characteristics in free vibration of a complex asymmetric structure |
topic | asymmetrical configuration free vibration coupled freqencies tall building |
url | http://revue.ummto.dz/index.php/JMES/article/view/2439 |
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