A nonlocal strain gradient theory for scale-dependent wave dispersion analysis of rotating nanobeams considering physical field effects

被引:4
作者
Ebrahimi, Farzad [1 ]
Haghi, Parisa [1 ]
机构
[1] Imam Khomeini Int Univ, Dept Mech Engn, Fac Engn, Qazvin, Iran
来源
COUPLED SYSTEMS MECHANICS | 2018年 / 7卷 / 04期
关键词
wave propagation; FGMs; nonlocal strain gradient theory; rotating nanobeam; refined beam theory;
D O I
10.12989/csm.2018.7.4.373
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This paper is concerned with the wave propagation behavior of rotating functionally graded temperature-dependent nanoscale beams subjected to thermal loading based on nonlocal strain gradient stress field. Uniform, linear and nonlinear temperature distributions across the thickness are investigated. Thermo-elastic properties of FG beam change gradually according to the Mori-Tanaka distribution model in the spatial coordinate. The nanobeam is modeled via a higher-order shear deformable refined beam theory which has a trigonometric shear stress function. The governing equations are derived by Hamilton's principle as a function of axial force due to centrifugal stiffening and displacement. By applying an analytical solution and solving an eigenvalue problem, the dispersion relations of rotating FG nanobeam are obtained. Numerical results illustrate that various parameters including temperature change, angular velocity, nonlocality parameter, wave number and gradient index have significant effect on the wave dispersion characteristics of the understudy nanobeam. The outcome of this study can provide beneficial information for the next generation researches and exact design of nano-machines including nanoscale molecular bearings and nanogears, etc.
引用
收藏
页码:373 / 393
页数:21
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