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http://dx.doi.org/10.12989/aas.2020.7.6.517

Exact solution for axial vibration of the power, exponential and sigmoid FG nonlocal nanobeam  

Hosseini, S.A.H. (Department of Industrial, Mechanical and Aerospace Engineering, Buein Zahra Technical University)
Moghaddam, M.H. Noroozi (Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan)
Rahmani, O. (Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan)
Publication Information
Advances in aircraft and spacecraft science / v.7, no.6, 2020 , pp. 517-536 More about this Journal
Abstract
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.
Keywords
nanobeam; functionally graded materials; axial vibration; nonlocal elasticity;
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Times Cited By KSCI : 16  (Citation Analysis)
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