On size-dependent free vibration and thermal buckling of axially functionally graded nanobeams in thermal environment

被引：118

作者：

Mirjavadi, Seyed Sajad ^{[1
]}

Rabby, Samira ^{[2
]}

Shafiei, Navvab ^{[3
]}

Afshari, Behzad Mohasel ^{[4
]}

Kazemi, Mohammad ^{[5
]}

机构：

[1] Univ Tehran, Sch Mech Engn, Coll Engn, Tehran, Iran

[2] Payame Noor Univ, Dept Informat Technol, Engn, POB 19395-3697, Tehran, Iran

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

[4] Sharif Univ Technol, Sch Mech Engn, Coll Engn, Tehran, Iran

[5] Hoonam Sanat Farnak Engn & Technol Co, POB 6931876647, Ilam, Iran

来源：

APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING | 2017年 / 123卷 / 05期

关键词：

AMPLITUDE FREE-VIBRATION; NONLOCAL ELASTICITY; DIFFERENTIAL QUADRATURE; NONLINEAR VIBRATION; GOLD NANOBEAM; TIMOSHENKO; SURFACE; BEAMS; ARMCHAIR; PLATES;

D O I：

10.1007/s00339-017-0918-1

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This article aims to study the buckling and free vibrational behavior of axially functionally graded (AFG) nanobeam under thermal effect for the first time. The temperature is considered to be constant and variable along thickness and different boundary conditions. The governing equation is developed using the Hamilton's principle considering the axial force. The Euler-Bernoulli beam theory is used to model the nanobeam, and Eringen's nonlocal elasticity theory is utilized to consider the nano-size effect. The generalized differential quadrature method (GDQM) is used to solve the equations. The small-scale parameter, AFG power index, thermal distribution, different functions of temperature increase for different boundary conditions are given in detail.

引用

页数：10

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