Semi-analytical vibration analysis of functionally graded size-dependent nanobeams with various boundary conditions

Farzad Ebrahimi , Erfan Salari

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

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