Small amplitude vibrations of a functionally graded material beam under in-plane thermal loading in the prebuckling and postbuckling regimes is studied in this paper. The material properties of the FGM media are considered as function of both position and temperature. A three parameters elastic foundation including the linear and nonlinear Winkler springs along with the Pasternak shear layer is in contact with beam in deformation, which acts in tension as well as in compression. The solution is sought in two regimes. The first one, a static phase with large amplitude response, and the second one, a dynamic regime near the static one with small amplitude. In both regimes, nonlinear governing equations are discretized using the generalized differential quadrature (GDQ) method and solved iteratively via the Newton–Raphson method. It is concluded that depending on the type of boundary condition and loading type, free vibration of a beam under in-plane thermal loading may reach zero at a certain temperature which indicates the existence of bifurcation type of instability.
Skip Nav Destination
Article navigation
January 2014
Research-Article
Vibration of a Temperature-Dependent Thermally Pre/Postbuckled FGM Beam Over a Nonlinear Hardening Elastic Foundation
S. E. Esfahani,
S. E. Esfahani
Mechanical Engineering Department,
South Tehran Branch,
Tehran,
Islamic Azad University
,South Tehran Branch,
Tehran,
Iran
Search for other works by this author on:
M. R. Eslami
M. R. Eslami
1
Professor and Fellow of the Academy of Sciences
ASME Fellow
e-mail: eslami@aut.ac.ir
Mechanical Engineering Department,
Tehran,
ASME Fellow
e-mail: eslami@aut.ac.ir
Mechanical Engineering Department,
Amirkabir University of Technology
,Tehran,
Iran
1Corresponding author.
Search for other works by this author on:
S. E. Esfahani
Mechanical Engineering Department,
South Tehran Branch,
Tehran,
Islamic Azad University
,South Tehran Branch,
Tehran,
Iran
M. R. Eslami
Professor and Fellow of the Academy of Sciences
ASME Fellow
e-mail: eslami@aut.ac.ir
Mechanical Engineering Department,
Tehran,
ASME Fellow
e-mail: eslami@aut.ac.ir
Mechanical Engineering Department,
Amirkabir University of Technology
,Tehran,
Iran
1Corresponding author.
Manuscript received October 7, 2012; final manuscript received February 26, 2013; published online August 22, 2013. Assoc. Editor: Glaucio H. Paulino.
J. Appl. Mech. Jan 2014, 81(1): 011004 (13 pages)
Published Online: August 22, 2013
Article history
Received:
October 7, 2012
Revision Received:
February 26, 2013
Accepted:
August 22, 2013
Citation
Esfahani, S. E., Kiani, Y., Komijani, M., and Eslami, M. R. (August 22, 2013). "Vibration of a Temperature-Dependent Thermally Pre/Postbuckled FGM Beam Over a Nonlinear Hardening Elastic Foundation." ASME. J. Appl. Mech. January 2014; 81(1): 011004. https://doi.org/10.1115/1.4023975
Download citation file:
Get Email Alerts
Hamiltonian System-Based Symplectic Framework for Analytical Vibration Analysis of Microplates
J. Appl. Mech (December 2024)
Related Articles
Nonlinear Analysis of a Thin Circular Functionally Graded Plate and Large Deflection Effects on the Forces and Moments
J. Eng. Mater. Technol (January,2008)
Isoparametric Graded Finite Elements for Nonhomogeneous Isotropic and Orthotropic Materials
J. Appl. Mech (July,2002)
Honoring Professor Erdogan’s Seminal Contributions to Mixed Boundary-Value Problems of Inhomogeneous and Functionally Graded Materials
J. Appl. Mech (September,2008)
Thermal Postbuckling of Imperfect Circular Functionally Graded Material Plates: Examination of Voigt, Mori–Tanaka, and Self-Consistent Schemes
J. Pressure Vessel Technol (April,2015)
Related Proceedings Papers
Related Chapters
Experimental and Statistical Study on the Noise Generated by Surface Defects of Bearing Rolling Bodies
Bearing and Transmission Steels Technology
Case Study 10: Data Reconciliation
Engineering Optimization: Applications, Methods, and Analysis
Creating and Eliminating Workplace Hazards by Design
An Instructional Aid For Occupational Safety and Health in Mechanical Engineering Design