Thermo-mechanical vibration of rotating axially functionally graded nonlocal Timoshenko beam

The free vibration analysis of rotating axially functionally graded nanobeams under an in-plane nonlinear thermal loading is provided for the first time in this paper. The formulations are based on Timoshenko beam theory through Hamilton’s principle. The small-scale effect has been considered using...

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Bibliographic Details
Published in:Applied physics. A, Materials science & processing Materials science & processing, 2017, Vol.123 (1), p.1-15, Article 104
Main Authors: Azimi, Majid, Mirjavadi, Seyed Sajad, Shafiei, Navvab, Hamouda, A. M. S.
Format: Article
Language:English
Subjects:
Angular velocity
Applied physics
Beam theory (structures)
Boundary conditions
Cantilever beams
Characterization and Evaluation of Materials
Condensed Matter Physics
Differential equations
Elasticity
Formulations
Free vibration
Functionally gradient materials
Generalized differential quadrature method
Linearization
Machines
Manufacturing
Material properties
Materials science
Nanotechnology
Optical and Electronic Materials
Physics
Physics and Astronomy
Processes
Rotation
Scale effect
Simulation
Surfaces and Interfaces
Temperature dependence
Temperature effects
Thin Films
Timoshenko beams
Vibration analysis
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Summary:The free vibration analysis of rotating axially functionally graded nanobeams under an in-plane nonlinear thermal loading is provided for the first time in this paper. The formulations are based on Timoshenko beam theory through Hamilton’s principle. The small-scale effect has been considered using the nonlocal Eringen’s elasticity theory. Then, the governing equations are solved by generalized differential quadrature method. It is supposed that the thermal distribution is considered as nonlinear, material properties are temperature dependent, and the power-law form is the basis of the variation of the material properties through the axial of beam. Free vibration frequencies obtained are cantilever type of boundary conditions. Presented numerical results are validated by comparing the obtained results with the published results in the literature. The influences of the nonlocal small-scale parameter, angular velocity, hub radius, FG index and also thermal effects on the frequencies of the FG nanobeams are investigated in detail.
ISSN:0947-8396
1432-0630
DOI:10.1007/s00339-016-0712-5