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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  

Rahmani, O. (Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan)
Hosseini, S.A.H. (Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan)
Ghoytasi, I. (Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan)
Golmohammadi, H. (Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan)
Publication Information
Steel and Composite Structures / v.26, no.5, 2018 , pp. 607-620 More about this Journal
Abstract
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.
Keywords
deep curved nano beam; Timoshenko beam model; functionally graded material; modified couple stress; vibration analysis;
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Times Cited By KSCI : 3  (Citation Analysis)
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