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Vibration Analysis of Thick Functionally Graded Micro-plates Using HOSNDPT and Modified Couple Stress Theory

Vibration Analysis of Thick Functionally Graded Micro-plates Using HOSNDPT and Modified Couple... This paper develops a micro-scale vibration analysis of micro-plates using higher-order shear and normal deformable plate theory in conjunction with modified couple stress theory. The present model includes one material length scale parameter which takes into account the size effects. The equations of motions and boundary conditions are derived using Hamilton’s principle. Analytical solutions for the free vibration problem of simply supported rectangular micro-plates are obtained. Numerical results are presented to illustrate the effect of small scale on the dynamic response of functionally graded micro-plates. The results show that the size-dependent effect increases the stiffness of the micro-plate and consequently increases the natural frequencies. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Iranian Journal of Science and Technology, Transactions of Mechanical Engineering Springer Journals

Vibration Analysis of Thick Functionally Graded Micro-plates Using HOSNDPT and Modified Couple Stress Theory

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References (45)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Shiraz University
Subject
Engineering; Mechanical Engineering
ISSN
2228-6187
eISSN
2364-1835
DOI
10.1007/s40997-018-0185-6
Publisher site
See Article on Publisher Site

Abstract

This paper develops a micro-scale vibration analysis of micro-plates using higher-order shear and normal deformable plate theory in conjunction with modified couple stress theory. The present model includes one material length scale parameter which takes into account the size effects. The equations of motions and boundary conditions are derived using Hamilton’s principle. Analytical solutions for the free vibration problem of simply supported rectangular micro-plates are obtained. Numerical results are presented to illustrate the effect of small scale on the dynamic response of functionally graded micro-plates. The results show that the size-dependent effect increases the stiffness of the micro-plate and consequently increases the natural frequencies.

Journal

Iranian Journal of Science and Technology, Transactions of Mechanical EngineeringSpringer Journals

Published: Jun 4, 2018

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