Vibration of Three-Layered FGM Cylindrical Shells with Middle Layer of Isotropic Material for Various Boundary Conditions

Khan, Awais Gul; Arshad, Shahid Hussain; Shah, Abdul Ghafar; Gamkhar, Madiha

doi:10.4236/wjm.2014.411032

Cited by 7 publications

(2 citation statements)

References 23 publications

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“…Free vibration of shallow shells with rectangular planform of spherical, cylindrical, and hyperbolic paraboloid types are analyzed by Monterrubio. 20 Naeem et al 21 studied vibration of a three-layered FGM cylindrical shell. Lee and Kwak 22 studied the free vibration of a circular cylindrical shell by using beam functions as admissible ones for different shell theories.…”

Section: Introductionmentioning

confidence: 99%

Buckling and free vibration analysis of functionally graded sandwich plates and shallow shells by the Ritz method and the R-functions theory

Kurpa

Shmatko

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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The purpose of the paper is to study stability and free vibrations of laminated plates and shallow shells composed of functionally graded materials. The approach proposed incorporates the Ritz method and the R-functions theory. It is assumed that the shell consists of three layers and is loaded in the middle plane. The both cases of uniform as well as non-uniform load are possible. The power-law distribution in terms of volume fractions is applied to get effective material properties for the layers. These properties are calculated for different arrangements and thicknesses of the layers by the analytical formulae obtained in the paper. The mathematical formulation is carried out in framework of the first-order shear deformation theory. The proposed approach consists of two steps. The first step is to define the pre-buckling state by solving the respective elasticity problem. The critical buckling load and frequencies of functionally graded material shallow shells are determined in the second step. The highlight of the method proposed is that it can be used for vibration and buckling analysis of plates and shallow shells of complex shape. The numerical results for frequencies and buckling load of plates and shallow shells of complex shape and different curvatures are presented to demonstrate the potential of the method developed. Different functionally graded material plates and shallow shells composed of a mixture of metal and ceramics are studied. The effects of the power law index, boundary conditions, thickness of the core, and face sheet layers on the fundamental frequencies and critical loads are discussed in this paper. The main advantage of the method is that it provides an analytical representation of the unknown solution, which is important when solving nonlinear problems.

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Section: Introductionmentioning

confidence: 99%

Buckling and free vibration analysis of functionally graded sandwich plates and shallow shells by the Ritz method and the R-functions theory

Kurpa

Shmatko

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Naeem et al . 17 explored the vibration behaviour of three layered functionally graded material cylindrical shell for different edge conditions. The internal and external layers were fabricated by FG materials whereas the central layer was of isotropic material.…”

Section: Introductionmentioning

confidence: 99%

Vibration frequency analysis of three-layered cylinder shaped shell with effect of FGM central layer thickness

Ghamkhar

Imran

Kamran

et al. 2019

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In this research, vibration frequency analysis of three layered functionally graded material (FGM) cylinder-shaped shell is studied with FGM central layer and the internal and external layers are of homogenous material. Strain and curvature-displacement relations are taken from Sander’s shell theory. The shell frequency equation is obtained by employing the Rayleigh Ritz method. Influence on natural frequencies (NFs) is observed for various thickness of the middle layer. The characteristics beam functions are used to estimate the dependence of axial modal. Results are obtained for thickness to radius ratios and length to radius ratios for different edge conditions. The validity of this method is checked for numerous results in the open literature.

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Effects of piezoelectric actuators on a shell vibrations containing fluid

Ardekany

Dorahaki

2016

2016 4th International Conference on Robotics and Mechatronics (ICROM)

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Vibration of Three-Layered FGM Cylindrical Shells with Middle Layer of Isotropic Material for Various Boundary Conditions

Cited by 7 publications

References 23 publications

Buckling and free vibration analysis of functionally graded sandwich plates and shallow shells by the Ritz method and the R-functions theory

Buckling and free vibration analysis of functionally graded sandwich plates and shallow shells by the Ritz method and the R-functions theory

Vibration frequency analysis of three-layered cylinder shaped shell with effect of FGM central layer thickness

Effects of piezoelectric actuators on a shell vibrations containing fluid

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