Analytical Solution of Thermoelastic Damping in a Nanoscale Beam using the Fractional Order Theory of Thermoelasticity

被引：16

作者：

Abbas, Ibrahim A. ^{[1
,2
,3
]}

Hobiny, Aatef D. ^{[4
]}

机构：

[1] Univ Jeddah, Dept Math, Fac Sci & Arts Khulais, Jeddah, Saudi Arabia

[2] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah, Saudi Arabia

[3] Sohag Univ, Dept Math, Fac Sci, Sohag, Egypt

[4] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS | 2016年 / 16卷 / 09期

关键词：

Fractional order theory of thermoelasticity; nano-beam resonator; free vibration; thermoelastic damping; frequency shift; REINFORCED ANISOTROPIC MEDIUM; STATE-SPACE APPROACH; GN MODEL; EIGENVALUE APPROACH; UNBOUNDED MEDIUM; LAG MODEL; VIBRATION; PLATE;

D O I：

10.1142/S0219455415500649

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

In this paper, we study the generalized thermoelastic vibration of a bounded nano-beam resonator under fractional order theory of thermoelasticity. The theory of generalized thermoelasticity with one relaxation time can be established in the limit as the special cases of the present model. The effect of fractional parameter is investigated on the nano-beam resonator for beams with clamped ends. Analytical expressions for the deflection, temperature change, frequency shift, and thermoelastic damping have been derived for the beam. The effect of the fractional parameter on the variation of frequency shifts and thermoelastic damping is analyzed graphically.

引用

页数：11

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