Finite Element Formulation for Stability and Free Vibration Analysis of Timoshenko Beam
Joint Authors
Moallemi-Oreh, Abbas
Karkon, Mohammad
Source
Advances in Acoustics and Vibration
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-18
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A two-node element is suggested for analyzing the stability and free vibration of Timoshenko beam.
Cubic displacement polynomial and quadratic rotational fields are selected for this element.
Moreover, it is assumed that shear strain of the element has the constant value.
Interpolation functions for displacement field and beam rotation are exactly calculated by employing total beam energy and its stationing to shear strain.
By exploiting these interpolation functions, beam elements' stiffness matrix is also examined.
Furthermore, geometric stiffness matrix and mass matrix of the proposed element are calculated by writing governing equation on stability and beam free vibration.
At last, accuracy and efficiency of proposed element are evaluated through numerical tests.
These tests show high accuracy of the element in analyzing beam stability and finding its critical load and free vibration analysis.
American Psychological Association (APA)
Moallemi-Oreh, Abbas& Karkon, Mohammad. 2013. Finite Element Formulation for Stability and Free Vibration Analysis of Timoshenko Beam. Advances in Acoustics and Vibration،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-502469
Modern Language Association (MLA)
Moallemi-Oreh, Abbas& Karkon, Mohammad. Finite Element Formulation for Stability and Free Vibration Analysis of Timoshenko Beam. Advances in Acoustics and Vibration No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-502469
American Medical Association (AMA)
Moallemi-Oreh, Abbas& Karkon, Mohammad. Finite Element Formulation for Stability and Free Vibration Analysis of Timoshenko Beam. Advances in Acoustics and Vibration. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-502469
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502469