In this paper, the large amplitude free vibration of a doubly clamped microbeam is considered. The effects of shear deformation and rotary inertia on the large amplitude vibration of the microbeam are investigated. To this end, first Hamilton’s principle is used in deriving the partial differential equation of the microbeam response under the mentioned conditions. Then, implementing the Galerkin’s method the partial differential equation is converted to an ordinary nonlinear differential equation. Finally, the method of multiple scales is used to determine a second-order perturbation solution for the obtained ODE. The results show that nonlinearity acts in the direction of increasing the natural frequency of the doubly clamped microbeam. Shear deformation and rotary inertia have significant effects on the large amplitude vibration of thick and short microbeams.
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e-mail: a.r@mech.sharif.edu
e-mail: aalasti@sharif.edu
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October 2006
Technical Papers
Effects of Rotary Inertia and Shear Deformation on Nonlinear Free Vibration of Microbeams
Asghar Ramezani,
Asghar Ramezani
School of Mechanical Engineering,
e-mail: a.r@mech.sharif.edu
Sharif University of Technology
, P.O. Box 11365-9567, Tehran, Iran
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Aria Alasty,
Aria Alasty
Center of Excellence in Design, Robotics, and Automation (CEDRA), School of Mechanical Engineering,
e-mail: aalasti@sharif.edu
Sharif University of Technology
, Tehran, Iran
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Javad Akbari
Javad Akbari
School of Mechanical Engineering,
e-mail: akbari@sharif.edu
Sharif University of Technology
, Tehran, Iran
Search for other works by this author on:
Asghar Ramezani
School of Mechanical Engineering,
Sharif University of Technology
, P.O. Box 11365-9567, Tehran, Irane-mail: a.r@mech.sharif.edu
Aria Alasty
Center of Excellence in Design, Robotics, and Automation (CEDRA), School of Mechanical Engineering,
Sharif University of Technology
, Tehran, Irane-mail: aalasti@sharif.edu
Javad Akbari
School of Mechanical Engineering,
Sharif University of Technology
, Tehran, Irane-mail: akbari@sharif.edu
J. Vib. Acoust. Oct 2006, 128(5): 611-615 (5 pages)
Published Online: January 14, 2006
Article history
Received:
April 12, 2005
Revised:
January 14, 2006
Citation
Ramezani, A., Alasty, A., and Akbari, J. (January 14, 2006). "Effects of Rotary Inertia and Shear Deformation on Nonlinear Free Vibration of Microbeams." ASME. J. Vib. Acoust. October 2006; 128(5): 611–615. https://doi.org/10.1115/1.2202167
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