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NUMERICAL ANALYSIS OF FREE OSCILLATIONS OF BEAMS

By
Ena Šahinović ,
Ena Šahinović
Contact Ena Šahinović

Faculty of Mechanical Engineering, Dzemal Bijedic University of Mostar , Mostar , Bosnia and Herzegovina

Safet Isić ,
Safet Isić

Faculty of Mechanical Engineering, Dzemal Bijedic University of Mostar , Mostar , Bosnia and Herzegovina

Ermin Husak ,
Ermin Husak

University of Bihać , Bihać , Bosnia and Herzegovina

Samir Dizdar ,
Samir Dizdar

Dzemal Bijedic University of Mostar , Mostar , Bosnia and Herzegovina

Emir Nezirić
Emir Nezirić

Dzemal Bijedic University of Mostar , Mostar , Bosnia and Herzegovina

Abstract

This paper examines the free oscillations of beams, which are essential  for preventing resonance in constructions such as bridges, buildings, and  other engineering structures. The objective of the study is to evaluate the  accuracy of numerical methods by comparing their results with exact  solutions for three support conditions: a simply supported beam, a 
cantilever beam, and a beam fixed at both ends. Exact solutions were  presented for all cases. Numerical results for the first three oscillation  modes were obtained using ANSYS software and compared to the exact values.

References

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Lemeš S. Chapter 5. Application of the Finite Element Method for Determining Natural Frequencies of Free Undamped Vibrations. Master’s thesis. 2002;
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Makarios T. Identification of Mode-Shapes and Eigen-Frequencies of Bi-Hinge Beam with Distributed Mass and Stiffness. 2020;
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Rana H, Kumar. Dynamic Analysis of Fixed-Fixed Beams. 2012;
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Pičuga A. Introduction to the Finite Element Method. 1985;
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Isić S. The Impact of Axial Load on Structural Vibrations Using the Finite Element Method. 2000;
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Craiga R. 2017;
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Zaimović-Uzunović N, Lemeš S. 2002;

Citation

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 

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