Dynamics of a functionally graded material axial bar: Spectral element modeling and analysis

Hong, Minwoo; Lee, Usik

doi:10.1016/j.compositesb.2014.10.022

Cited by 5 publications

(2 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…At present, research on pore-containing components mainly focuses on plates and shells on elastic foundations, but there still are some research on components in axial motion. Hong M et al [21] developed a reliable mathematical model to study dynamic and wave propagation characteristics in FGM axial bars at high frequencies. Shen et al [22] investigated vibration and stability behaviors of functionally graded nanoplates with axial motion using Hamilton's principle and the Galerkin method.…”

Section: Introductionmentioning

confidence: 99%

Vibration Analysis of Porous Functionally Graded Material Truncated Conical Shells in Axial Motion

XIAO,

LIU,

HUANG

et al. 2024

mech

View full text Add to dashboard Cite

In this study, a vibration equation for axially moving truncated conical thin shells made of functionally gradient materials with uniformly and non-uniformly distributed pores has been established based on classical thin shell theory. The free vibration and dynamic response solutions are obtained using the Galerkin method. The effects of axial velocity, half cone angle, ceramic material mass composition, material component index, and internal porosity on the free vibration and dynamic response of mentioned shells were analyzed and discussed. The results show that the increase of axial velocity, half cone angle, and material composition index all decrease the natural frequency of the truncated conical shell but amplify its dynamic response, and the rise of the mass fraction of the ceramic material increases the natural frequency of the truncated conical shell but reduces the dynamic response. The results also demonstrate that compared with non-uniformly distributed pores, the effects of uniformly distributed pores on the shells’ dynamic responses are more evident under axial motion.

show abstract

Section: Introductionmentioning

confidence: 99%

Vibration Analysis of Porous Functionally Graded Material Truncated Conical Shells in Axial Motion

XIAO,

LIU,

HUANG

et al. 2024

mech

View full text Add to dashboard Cite

show abstract

“…Civalek [27] has investigated the nonlinear dynamic response of doubly curved shallow shells resting on Winkler–Pasternak elastic foundation using the harmonic differential quadrature (HDQ) and finite differences (FD) methods. Hong and Lee [28] have presented a spectral element model for a modified FGM axial bar model, wherein non-uniform lateral contraction in the thickness direction is taken into account. We assume that material properties of the modified FGM axial bar model vary in the radial direction according to the power-law distribution.…”

Section: Introductionmentioning

confidence: 99%

Free vibration and vibrational displacements analysis of thick elastically supported laminated curved panels with power-law distribution functionally graded layers and finite length via 2D GDQ method

Tahouneh

Naei

2015

Jnl of Sandwich Structures & Materials

View full text Add to dashboard Cite

This paper deals with free vibration and vibrational displacements analysis of thick laminated curved panels with finite length resting on two-parameter elastic foundations based on the three-dimensional elasticity theory. Because of using two-dimensional generalized differential quadrature method, the present approach makes possible vibration analysis of cylindrical panels with two opposite axial edges simply supported and arbitrary boundary conditions including free, simply supported and clamped at the curved edges. The material properties vary continuously through the layers' thickness according to a three-parameter power-low distribution. It is assumed that the inner surfaces of the functionally graded sheets are metal rich, while the outer surfaces of the layers can be metal rich, ceramic rich or made of a mixture of two constituents. The benefit of using the considered power-law distribution is to illustrate and present useful results arising from symmetric and asymmetric profiles. The effects of two-parameter elastic foundation modulus, geometrical and material parameters together with the boundary conditions on the frequency parameters of the laminated functionally graded panels are investigated. The obtained results show that the outer functionally Downloaded from graded material layers have significant effect on the vibration behavior of cylindrical panels. This study serves as a benchmark for assessing the validity of numerical methods or two-dimensional theories used to analysis of laminated curved panels.

show abstract

Estimation of heat flux and mechanical loads on laminated functionally graded plate

Ebrahimi

Haghighi

2016

Acta Mech

View full text Add to dashboard Cite

Dynamics of a functionally graded material axial bar: Spectral element modeling and analysis

Cited by 5 publications

References 28 publications

Vibration Analysis of Porous Functionally Graded Material Truncated Conical Shells in Axial Motion

Vibration Analysis of Porous Functionally Graded Material Truncated Conical Shells in Axial Motion

Free vibration and vibrational displacements analysis of thick elastically supported laminated curved panels with power-law distribution functionally graded layers and finite length via 2D GDQ method

Estimation of heat flux and mechanical loads on laminated functionally graded plate

Contact Info

Product

Resources

About