Erratum to: Thermo-mechanical vibration of rotating axially functionally graded nonlocal Timoshenko beam
Erratum to: Thermo-mechanical vibration of rotating axially functionally graded nonlocal Timoshenko beam
复制标题
勘误：旋转轴向功能梯度非局部 Timoshenko 梁的热机械振动
DOI：
10.1007/s00339-017-0772-1
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
A. Hamouda
中科院分区：
文献类型：
--
作者：
Majid Azimi;S. S. Mirjavadi;N. Shafiei;A. Hamouda
本文首次对旋转的轴向功能梯度纳米棒在面内非线性热载荷作用下的自由振动进行了分析。这些公式是基于铁木申科梁理论通过哈密顿原理得到的。用非局域Eringen弹性理论考虑了小尺度效应。然后，用广义微分求积法求解控制方程。假定材料的热分布是非线性的，材料性质是温度相关的，材料性质的幂函数形式是材料性质沿梁轴线变化的基础。得到的自由振动频率是悬臂型边界条件。通过与文献中发表的结果进行比较，验证了所给数值结果的正确性。详细研究了非局域小尺度参数、角速度、轮毂半径、FG指数以及热效应对FG纳米棒频率的影响。
The free vibration analysis of rotating axially functionally graded nanobeams under an in-plane nonlinear thermal loading is provided for the first time in this paper. The formulations are based on Timoshenko beam theory through Hamilton’s principle. The small-scale effect has been considered using the nonlocal Eringen’s elasticity theory. Then, the governing equations are solved by generalized differential quadrature method. It is supposed that the thermal distribution is considered as nonlinear, material properties are temperature dependent, and the power-law form is the basis of the variation of the material properties through the axial of beam. Free vibration frequencies obtained are cantilever type of boundary conditions. Presented numerical results are validated by comparing the obtained results with the published results in the literature. The influences of the nonlocal small-scale parameter, angular velocity, hub radius, FG index and also thermal effects on the frequencies of the FG nanobeams are investigated in detail.