Chebyshev collocation approach for vibration analysis of functionally graded porous beams based on third-order shear deformation theory

In this paper, vibration analysis of functionally graded porous beams is carried out using the third-order shear deformation theory. The beams have uniform and non-uniform porosity distributions across their thickness and both ends are supported by rotational and translational springs. The material...

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Bibliographic Details
Published in:Acta mechanica Sinica 2018-12, Vol.34 (6), p.1124-1135
Main Authors: Wattanasakulpong, Nuttawit, Chaikittiratana, Arisara, Pornpeerakeat, Sacharuck
Format: Article
Language:English
Subjects:
Boundary conditions
Chebyshev approximation
Classical and Continuum Physics
Collocation methods
Computational Intelligence
Engineering
Engineering Fluid Dynamics
Foamed metals
Functionally gradient materials
Material properties
Metal foams
Modulus of elasticity
Porosity
Research Paper
Resonant frequencies
Shear deformation
Springs (elastic)
Theoretical and Applied Mechanics
Vibration analysis
Vibration control
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Summary:In this paper, vibration analysis of functionally graded porous beams is carried out using the third-order shear deformation theory. The beams have uniform and non-uniform porosity distributions across their thickness and both ends are supported by rotational and translational springs. The material properties of the beams such as elastic moduli and mass density can be related to the porosity and mass coefficient utilizing the typical mechanical features of open-cell metal foams. The Chebyshev collocation method is applied to solve the governing equations derived from Hamilton’s principle, which is used in order to obtain the accurate natural frequencies for the vibration problem of beams with various general and elastic boundary conditions. Based on the numerical experiments, it is revealed that the natural frequencies of the beams with asymmetric and non-uniform porosity distributions are higher than those of other beams with uniform and symmetric porosity distributions.
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-018-0770-3