Techno Press


Steel and Composite Structures   Volume 26, Number 5, March10 2018, pages 607-620
DOI: http://dx.doi.org/10.12989/scs.2018.26.5.607
 
Free vibration of deep curved FG nano-beam based on modified couple stress theory
O. Rahmani, S.A.H. Hosseini, I. Ghoytasi and H. Golmohammadi

 
Abstract     [Full Text]
    Vibration analysis of deep curved FG nano-beam has been carried out based on modified couple stress theory. Material properties of curved Timoshenko beam are assumed to be functionally graded in radial direction. Governing equations of motion and related boundary conditions have been obtained via Hamilton's principle. In a parametric study, influence of length scale parameter, aspect ratio, gradient index, opening angle, mode number and interactive influences of these parameters on natural frequency of the beam, have been investigated. It was found that, considering geometrical deepness term leads to an increase in sensitivity of natural frequency about variation of aforementioned parameters.
 
Key Words
    deep curved nano beam; Timoshenko beam model; functionally graded material; modified couple stress; vibration analysis
 
Address
Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan, Zanjan, Iran.
 

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