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

• Authors: O. Rahmani
• 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

62.25.-g

Discipline

• 62.25.-g: Mechanical properties of nanoscale systems(for structure of nanoscale systems, see 61.46.-w; for structural transitions in nanoscale materials, see 64.70.Nd; for electronic transport in nanoscale systems, see 73.63.-b)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 125
• Issue: 2
• Pages: 532-533

Dates

published

2014-02

Contributors

author

O. Rahmani

• 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

Identifiers

DOI

10.12693/APhysPolA.125.532