Influence of thermal and surface effects on vibration behavior of nonlocal rotating Timoshenko nanobeam

This paper is proposed to study the free vibration of a rotating Timoshenko nanobeam based on the nonlocal theory considering thermal and surface elasticity effects. The governing equations and the related boundary conditions are derived using the Hamilton’s principle. In order to solve the problem,...

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Bibliographic Details
Published in:Applied physics. A, Materials science & processing Materials science & processing, 2016-07, Vol.122 (7), p.1-19, Article 673
Main Authors: Ghadiri, Majid, Shafiei, Navvab, Akbarshahi, Amir
Format: Article
Language:English
Subjects:
Angular velocity
Boundary conditions
Characterization and Evaluation of Materials
Condensed Matter Physics
Elasticity
Free vibration
Machines
Manufacturing
Mathematical analysis
Nanostructure
Nanotechnology
Optical and Electronic Materials
Parameters
Physics
Physics and Astronomy
Processes
Surfaces and Interfaces
Thin Films
Timoshenko beams
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Summary:This paper is proposed to study the free vibration of a rotating Timoshenko nanobeam based on the nonlocal theory considering thermal and surface elasticity effects. The governing equations and the related boundary conditions are derived using the Hamilton’s principle. In order to solve the problem, generalized differential quadrature method is applied to discretize the governing differential equations corresponding to clamped–simply and clamped–free boundary conditions. In this article, the influences of some parameters such as nonlocal parameter, angular velocity, thickness of the nanobeam, and thermal and surface elasticity effects on the free vibration of the rotating nanobeam are investigated, and the results are compared for different boundary conditions. The results show that the surface effect and the nonlocal parameter and the temperature changes have significant roles, and they should not be ignored in the vibrational study of rotating nanobeams. Also, the angular velocity and the hub radius have more significant roles than temperature change effects on the nondimensional frequency. It is found that the nonlocal parameter behavior and the temperature change behavior on the frequency are different in the first mode for the rotating cantilever nanobeam.
ISSN:0947-8396
1432-0630
DOI:10.1007/s00339-016-0196-3