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Number of results
2014 | 125 | 2 | 532-533
Article title

On the Flexural Vibration of Pre-Stressed Nanobeams Based on a Nonlocal Theory

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Languages of publication
EN
Abstracts
EN
In this study, a model based on a nonlocal theory is proposed to study the effect of external loads on the free vibration of nanobeams. The governing equations for the initially pre-stressed beam are obtained by using the Hamilton principle. Analytical solution of vibration is presented using the Eringen nonlocal theory to bring out the effect of the nonlocal behavior on natural frequencies. The performance of the present model is compared with that of others by the presentation of comparative results. It is suggested that the present model can be used as a benchmark in future studies.
Keywords
EN
Contributors
author
  • Mechanical Engineering Department, University of Zanjan, Zanjan, Iran
References
  • 1. A.C. Eringen, doi: 10.1016/0020-7225(72)90070-5, Int. J. Eng. Sci. 10, 1 (1972)
  • 2. A.C. Eringen, doi: 10.1063/1.332803, J. Appl. Phys. 54, 4703 (1983)
  • 3. J.N. Reddy, doi: 10.1016/j.ijengsci.2007.04.004, Int. J. Eng. Sci. 45, 288 (2007)
  • 4. C.M. Wang, V.B.C. Tan, Y.Y. Zhang, doi: 10.1016/j.jsv.2006.01.005, J. Sound Vibrat. 294, 1060 (2006)
  • 5. Q. Wang, V.K. Varadan, doi: 10.1088/0964-1726/15/2/050, Smart Mater. Struct. 15, 659 (2006)
  • 6. S.S. Rao, Vibration of Continuous Systems, Wiley, New Jersey 2007, p. 317
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv125n2119kz
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