Thermo-mechanical vibration of rotating axially functionally graded nonlocal Timoshenko beam

详细信息    查看全文

• 作者：Majid Azimi ; Seyed Sajad Mirjavadi ; Navvab Shafiei ; A. M. S. Hamouda
• 关键词：Thermal vibration ; Timoshenko model ; AFG ; Eringen nonlocal theory ; Nanobeam
• 刊名：Applied Physics A
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：123
• 期：1
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Condensed Matter Physics; Optical and Electronic Materials; Nanotechnology; Characterization and Evaluation of Materials; Surfaces and Interfaces, Thin Films; Operating Procedures, Materials Treatment
• 出版者：Springer Berlin Heidelberg
• ISSN：1432-0630
• 卷排序：123

文摘

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.