Nonlinear vibration analysis of bidirectional porous beams View Full Text


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Article Info

DATE

2021-12-02

AUTHORS

M. M. Keleshteri, J. Jelovica

ABSTRACT

This paper presents nonlinear vibration behavior of shear deformable bidirectional porous beams with non-uniform porosity distribution. A new porosity distributions are proposed to maximize natural frequencies of the porous beam. It is assumed that closed-cell voids are distributed along the thickness and length of the beam. Hamilton principle is used to derive nonlinear governing equations using Reddy beam theory considering von Karman geometrical nonlinearity. Generalized differential quadrature method, harmonic balance approach along with the Picard iterative approach are used to discretize and solve the nonlinear dynamic equations. The variation of nonlinear frequency versus the vibration amplitude is highlighted considering various influential factors such as geometrical parameters, porosity distributions, beam theories and boundary conditions. It is shown that the newly defined porosity distribution can increase the frequencies in comparison to the conventional porosity distribution. Comparing beams of the same weight shows that porosities near the center of the beam further increases frequencies in comparison to the other porosity distributions. Moreover, bidirectional porosity increases the frequencies in comparison to the unidirectional porosity. Frequencies of the bidirectional porous Reddy beam depend not only on the bending stiffness, as in the case of unidirectional porous beam, but also on the first derivative of the bending stiffness. More... »

PAGES

1-17

References to SciGraph publications

  • 2020-06-04. Axisymmetric vibrations of temperature-dependent functionally graded moderately thick circular plates with two-dimensional material and temperature distribution in ENGINEERING WITH COMPUTERS
  • 2021-05-19. Isogeometric nonlocal strain gradient quasi-three-dimensional plate model for thermal postbuckling of porous functionally graded microplates with central cutout with different shapes in APPLIED MATHEMATICS AND MECHANICS
  • 2020-04-22. Influence of axial load function and optimization on static stability of sandwich functionally graded beams with porous core in ENGINEERING WITH COMPUTERS
  • 2020-01-21. Nonlinear secondary resonance of FG porous silicon nanobeams under periodic hard excitations based on surface elasticity theory in ENGINEERING WITH COMPUTERS
  • 2020-10-01. Couple stress-based dynamic stability analysis of functionally graded composite truncated conical microshells with magnetostrictive facesheets embedded within nonlinear viscoelastic foundations in ENGINEERING WITH COMPUTERS
  • 2021-02-04. Size-dependent nonlinear bending behavior of porous FGM quasi-3D microplates with a central cutout based on nonlocal strain gradient isogeometric finite element modelling in ENGINEERING WITH COMPUTERS
  • 1993-01-01. Comparison of stress concentration versus minimum solid area based mechanical property-porosity relations in JOURNAL OF MATERIALS SCIENCE
  • 2020-05-31. Effects of elastic foundation on the large-amplitude vibration analysis of functionally graded GPL-RC annular sector plates in ENGINEERING WITH COMPUTERS
  • 2021-06-08. Frequency-dependent damped vibrations of multifunctional foam plates sandwiched and integrated by composite faces in THE EUROPEAN PHYSICAL JOURNAL PLUS
  • 2016-04-09. Study of non-uniform viscoelastic nanoplates vibration based on nonlocal first-order shear deformation theory in MECCANICA
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