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Smart Structures and Systems Volume 19, Number 3, March 2017 , pages 243-257 DOI: https://doi.org/10.12989/sss.2017.19.3.243 |
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Semi-analytical vibration analysis of functionally graded size-dependent nanobeams with various boundary conditions |
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Farzad Ebrahimi and Erfan Salari
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| Abstract | ||
| In this paper, free vibration of functionally graded (FG) size-dependent nanobeams is studied within the framework of nonlocal Timoshenko beam model. It is assumed that material properties of the FG nanobeam, vary continuously through the thickness according to a power-law form. The small scale effect is taken into consideration based on nonlocal elasticity theory of Eringen. The non-classical governing differential equations of motion are derived through Hamilton | ||
| Key Words | ||
| free vibration; functionally graded nanobeam; timoshenko beam theory; differential transformation method; nonlocal elasticity theory | ||
| Address | ||
| Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran | ||