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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Main Authors: Meriem Elbatoul DIB, Abdelkader BENANANE, Taieb BRANCI, Baghdad KROUR
Format: Article
Language:English
Published: Mouloud Mammeri University of Tizi-Ouzou 2022-04-01
Series:Journal of Materials and Engineering Structures
Subjects:
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.
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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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AT abdelkaderbenanane determinationbyanalyticalapproachofthecharacteristicsinfreevibrationofacomplexasymmetricstructure
AT taiebbranci determinationbyanalyticalapproachofthecharacteristicsinfreevibrationofacomplexasymmetricstructure
AT baghdadkrour determinationbyanalyticalapproachofthecharacteristicsinfreevibrationofacomplexasymmetricstructure