4th International Conference on Acoustics & Vibration (ISAV2014) , 2014-12-10

Title : ( Size-Dependent Flexural Wave Propagation and Free Vibration of Functionally Graded Rayleigh's Micro- Beams Based on the Modified Couple Stress Theory )

Authors: Amir Reza Askari , Masoud Tahani , Mahmoud Shariati ,

Citation: BibTeX | EndNote

Abstract

The objective of present paper is to provide closed-form solutions for the size-dependent flexural wave propagation speed and natural frequencies of micro-beams made of functionally graded materials. For this aim, the modified couple stress theory (MCST) together with the Rayleigh's beam model is considered and the size-dependent equation of motion which accounts for the effects of rotary inertia, axial residual and couple stress components as well as through-thickness variation of the material properties is derived using the Hamilton's principle. Utilizing the derived equation of motion, closed-form exact expressions for flexural wave propagation speed of the system as well as its natural frequencies are presented. A detailed parametric study is also conducted to emphasis on the effects of couple stress components, rotary inertia and through-thickness variation of the material properties on both flexural wave propagation speed and natural frequencies of the system. The results show that accounting for couple stress components results in increasing both natural frequencies and flexural wave propagation speed, while the rotary inertia reduces both of them. It is found that the effects of couple stress components and rotary inertia on the wave propagation speed increases with an increase of the wave source frequency. Furthermore, it is observed that higher natural frequencies of the system will be affected more than the lower ones if the couple stress components and rotary inertia effects are taken into account.

Keywords

Modified couple stress theory; Rayleigh's beam model; Functionally graded materials; Vibrational analysis.
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@inproceedings{paperid:1044967,
author = {Askari, Amir Reza and Tahani, Masoud and Shariati, Mahmoud},
title = {Size-Dependent Flexural Wave Propagation and Free Vibration of Functionally Graded Rayleigh's Micro- Beams Based on the Modified Couple Stress Theory},
booktitle = {4th International Conference on Acoustics & Vibration (ISAV2014)},
year = {2014},
location = {تهران, IRAN},
keywords = {Modified couple stress theory; Rayleigh's beam model; Functionally graded materials; Vibrational analysis.},
}

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%0 Conference Proceedings
%T Size-Dependent Flexural Wave Propagation and Free Vibration of Functionally Graded Rayleigh's Micro- Beams Based on the Modified Couple Stress Theory
%A Askari, Amir Reza
%A Tahani, Masoud
%A Shariati, Mahmoud
%J 4th International Conference on Acoustics & Vibration (ISAV2014)
%D 2014

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