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http://dx.doi.org/10.12989/anr.2020.8.4.283

Scale-dependent thermal vibration analysis of FG beams having porosities based on DQM  

Fenjan, Raad M. (Al-Mustansiriah University, Engineering Collage)
Moustafa, Nader M. (Al-Mustansiriah University, Engineering Collage)
Faleh, Nadhim M. (Al-Mustansiriah University, Engineering Collage)
Publication Information
Advances in nano research / v.8, no.4, 2020 , pp. 283-292 More about this Journal
Abstract
In the present research, differential quadrature (DQ) method has been utilized for investigating free vibrations of porous functionally graded (FG) micro/nano beams in thermal environments. The exact location of neutral axis in FG material has been assumed where the material properties are described via porosity-dependent power-law functions. A scale factor related to couple stresses has been employed for describing size effect. The formulation of scale-dependent beam has been presented based upon a refined beam theory needless of shear correction factors. The governing equations and the associated boundary conditions have been established via Hamilton's rule and then they are solved implementing DQ method. Several graphs are provided which emphasis on the role of porosity dispersion type, porosity volume, temperature variation, scale factor and FG material index on free vibrational behavior of small scale beams.
Keywords
free vibrations; thermal effects; porosity; FG beam; modified couple stress theory;
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Times Cited By KSCI : 26  (Citation Analysis)
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