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Structural Monitoring and Maintenance
  Volume 6, Number 2, June 2019 , pages 147-159
DOI: https://doi.org/10.12989/smm.2019.6.2.147
 

Finite element formulation and vibration of nonlocal refined metal foam beams with symmetric and non-symmetric porosities
Ammar F.H. Al-Maliki, Nadhim M. Faleh and Abbas A. Alasadi

 
Abstract
    In present article, a size-dependent refined thick beam element has been established based upon nonlocal elasticity theory. Next, it is used to explore vibration response of porous metal foam nanobeams on elastic medium. The established beam element introduces ten degrees of freedom. Different porosity distributions called uniform, symmetric and asymmetric will be employed. Herein, introduced thick beam element contains shear deformations without using correction factors. Convergence and verification studies of obtained results from finite element method are also provided. The impacts of nonlocality factor, foundation factors, shear deformation, slenderness ratio, porosity kinds and porosity factor on vibration frequencies of metal foam nano-sized beams have been explored.
 
Key Words
    free vibration; refined beam theory; porous nanobeam; nonlocal elasticity; porosities
 
Address
Ammar F.H. Al-Maliki, Nadhim M. Faleh and Abbas A. Alasadi: Al-Mustansiriah University, Engineering Collage P.O. Box 46049, Bab-Muadum, Baghdad 10001, Iraq
 

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