Dynamic Finite Element Analysis of Bending-Torsion Coupled Beams Subjected to Combined Axial Load and End Moment
Joint Authors
Jayasinghe, Supun
Kashani, Mir Tahmaseb
Hashemi, S. M.
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-25
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The dynamic analysis of prestressed, bending-torsion coupled beams is revisited.
The axially loaded beam is assumed to be slender, isotropic, homogeneous, and linearly elastic, exhibiting coupled flexural-torsional displacement caused by the end moment.
Based on the Euler-Bernoulli bending and St.
Venant torsion beam theories, the vibration and stability of such beams are explored.
Using the closed-form solutions of the uncoupled portions of the governing equations as the basis functions of approximation space, the dynamic, frequency-dependent, interpolation functions are developed, which are then used in conjunction with the weighted residual method to develop the Dynamic Finite Element (DFE) of the system.
Having implemented the DFE in a MATLAB-based code, the resulting nonlinear eigenvalue problem is then solved to determine the coupled natural frequencies of illustrative beam examples, subjected to various boundary and load conditions.
The proposed method is validated against limited available experimental and analytical data, those obtained from an in-house conventional Finite Element Method (FEM) code and FEM-based commercial software (ANSYS).
In comparison with FEM, the DFE exhibits higher convergence rates and in the absence of end moment it produces exact results.
Buckling analysis is also carried out to determine the critical end moment and compressive force for various load combinations.
American Psychological Association (APA)
Kashani, Mir Tahmaseb& Jayasinghe, Supun& Hashemi, S. M.. 2015. Dynamic Finite Element Analysis of Bending-Torsion Coupled Beams Subjected to Combined Axial Load and End Moment. Shock and Vibration،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1078168
Modern Language Association (MLA)
Kashani, Mir Tahmaseb…[et al.]. Dynamic Finite Element Analysis of Bending-Torsion Coupled Beams Subjected to Combined Axial Load and End Moment. Shock and Vibration No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1078168
American Medical Association (AMA)
Kashani, Mir Tahmaseb& Jayasinghe, Supun& Hashemi, S. M.. Dynamic Finite Element Analysis of Bending-Torsion Coupled Beams Subjected to Combined Axial Load and End Moment. Shock and Vibration. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1078168
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1078168