Vibration of rotating functionally graded Timoshenko nano-beams with nonlinear thermal distribution

被引：130

作者：

Azimi, Majid ^{[1
]}

Mirjavadi, Seyed Sajad ^{[2
]}

Shafiei, Navvab ^{[3
]}

Hamouda, A. M. S. ^{[2
]}

Davari, Ehsan ^{[4
]}

机构：

[1] Sharif Univ Technol, Coll Engn, Tehran, Iran

[2] Qatar Univ, Mech & Ind Engn Dept, Coll Engn, Doha, Qatar

[3] Payame Noor Univ, Dept Mech Engn, POB 19395-3697, Tehran, Iran

[4] Tarbiat Modares Univ, Dept Chem, Tehran, Iran

来源：

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2018年 / 25卷 / 06期

关键词：

Rotating nano-beam; thermal stress; Timoshenko model; cantilever boundary condition; NONLOCAL ELASTICITY THEORY; FLAPWISE BENDING VIBRATION; WALLED CARBON NANOTUBES; DIFFERENTIAL QUADRATURE; SHEAR DEFORMATION; NANOBEAMS; MICROBEAMS; STABILITY; EQUATIONS; PLATES;

D O I：

10.1080/15376494.2017.1285455

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The vibration analysis of rotating, functionally graded Timoshenko nano-beams under an in-plane nonlinear thermal loading is studied for the first time. The formulation is based on Eringen's nonlocal elasticity theory. Hamilton's principle is used for the derivation of the equations. The governing equations are solved by the differential quadrature method. The nano-beam is under axial load due to the rotation and thermal effects, and the boundary conditions are considered as cantilever and propped cantilever. The thermal distribution is considered to be nonlinear and material properties are temperature-dependent and are changing continuously through the thickness according to the power-law form.

引用

页码：467 / 480

页数：14

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