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
Publication date 2007-03-14
Year available 2007
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.
Keyword Nanoscience & Nanotechnology
Materials Science, Multidisciplinary
Physics, Applied
Science & Technology - Other Topics
Materials Science
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
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Citation counts: TR Web of Science Citation Count  Cited 175 times in Thomson Reuters Web of Science Article | Citations
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Created: Mon, 16 Jan 2017, 21:33:37 EST by Clare Nelson on behalf of Learning and Research Services (UQ Library)