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Advances in Aircraft and Spacecraft Science
  Volume 7, Number 6, November 2020 , pages 517-536

Exact solution for axial vibration of the power, exponential and sigmoid FG nonlocal nanobeam
S. A. H. Hosseini, M. H. Noroozi Moghaddam and O. Rahmani

    The present study investigates axial vibration of a FG nanobeam using nonlocal elasticity theory under clamped-clamped and clamped-free boundary conditions. Power law, exponential law and sigmoid law are applied as grading laws to examine the effect of the material distribution on axial vibration of the FG nanobeam. A parametric study was done to examine the effect of length scale on the dynamic behavior of the structure and the results are presented. It was observed that consideration of the nonlocal length scale is essential when analyzing the free vibration of a FG nanobeam. The results of the present study can be used as benchmarks in future studies of FG nanostructures.
Key Words
    nanobeam; functionally graded materials; axial vibration; nonlocal elasticity
S. A. H. Hosseini: Department of Industrial, Mechanical and Aerospace Engineering, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran

M. H. Noroozi Moghaddam and O. Rahmani: Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan, Zanjan, Iran

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