Vibration of nonlocal Timoshenko beams

Wang, C. M., Zhang, Y. Y. and He, X. Q. (2007) Vibration of nonlocal Timoshenko beams. Nanotechnology, 18 10: . doi:10.1088/0957-4484/18/10/105401


Author Wang, C. M.
Zhang, Y. Y.
He, X. Q.
Title Vibration of nonlocal Timoshenko beams
Journal name Nanotechnology   Check publisher's open access policy
ISSN 0957-4484
1361-6528
Publication date 2007-03-14
Sub-type Article (original research)
DOI 10.1088/0957-4484/18/10/105401
Open Access Status Not yet assessed
Volume 18
Issue 10
Total pages 9
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing
Language eng
Abstract This paper is concerned with the free vibration problem for micro/nanobeams modelled after Eringen's nonlocal elasticity theory and Timoshenko beam theory. The small scale effect is taken into consideration in the former theory while the effects of transverse shear deformation and rotary inertia are accounted for in the latter theory. The governing equations and the boundary conditions are derived using Hamilton's principle. These equations are solved analytically for the vibration frequencies of beams with various end conditions. The vibration solutions obtained provide a better representation of the vibration behaviour of short, stubby, micro/nanobeams where the effects of small scale, transverse shear deformation and rotary inertia are significant. The exact vibration solutions should serve as benchmark results for verifying numerically obtained solutions based on other beam models and solution techniques.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
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