On the Flexural-Torsional Vibration and Stability of Beams Subjected to Axial Load and End Moment
Joint Authors
Towliat Kashani, M. Tahmaseb
Jayasinghe, Supun
Hashemi, S. M.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-13
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The free vibration of beams, subjected to a constant axial load and end moment and various boundary conditions, is examined.
Based on the Euler-Bernoulli bending and St.
Venant torsion beam theories, the differential equations governing coupled flexural-torsional vibrations and stability of a uniform, slender, isotropic, homogeneous, and linearly elastic beam, undergoing linear harmonic vibration, are first reviewed.
The existing formulations are then briefly discussed and a conventional finite element method (FEM) is developed.
Exploiting the MATLAB-based code, the resulting linear Eigenvalue problem is then solved to determine the Eigensolutions (i.e., natural frequencies and modes) of illustrative examples, exhibiting geometric bending-torsion coupling.
Various classical boundary conditions are considered and the FEM frequency results are validated against those obtained from a commercial software (ANSYS) and the data available in the literature.
Tensile axial force is found to increase natural frequencies, indicating beam stiffening.
However, when a force and an end moment are acting in combination, the moment reduces the stiffness of the beam and the stiffness of the beam is found to be more sensitive to the changes in the magnitude of the axial force compared to the moment.
A buckling analysis of the beam is also carried out to determine the critical buckling end moment and axial compressive force.
American Psychological Association (APA)
Towliat Kashani, M. Tahmaseb& Jayasinghe, Supun& Hashemi, S. M.. 2014. On the Flexural-Torsional Vibration and Stability of Beams Subjected to Axial Load and End Moment. Shock and Vibration،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1047858
Modern Language Association (MLA)
Towliat Kashani, M. Tahmaseb…[et al.]. On the Flexural-Torsional Vibration and Stability of Beams Subjected to Axial Load and End Moment. Shock and Vibration No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1047858
American Medical Association (AMA)
Towliat Kashani, M. Tahmaseb& Jayasinghe, Supun& Hashemi, S. M.. On the Flexural-Torsional Vibration and Stability of Beams Subjected to Axial Load and End Moment. Shock and Vibration. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1047858
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1047858