Vibration of functionally graded cylindrical shells based on higher order shear deformation plate theory with ring support

Najafizadeh, M. M.; Isvandzibaei, Mohammad Reza

doi:10.1007/s00707-006-0438-0

Cited by 85 publications

(43 citation statements)

References 14 publications

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“…Additional burden due to fluid factor on a physical system may cause damage to it. In the recent times, this feature has appealed to scientists doing research on dynamical properties of materials to explore more about specific strength, stiffness and super corrosion resistance [3][4][5][6][7]. It has been acquired by highly developed complex materials.…”

Section: Introductionmentioning

confidence: 99%

“…The consequence of end conditions on vibration characteristics of a circular cylindrical shell (CS) was considered by Fosberg in 1964 by using shell equation. Najafizadeh and Isvandzibaei [5] analyzed vibration characteristics of functionally graded cylindrical shells with ring supports. They based their analysis higher order shear deformation theory of shells.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports

Hussain¹,

Shahzad²,

He³

2018

Computational Fluid Dynamics - Basic Instruments and Applications in Science

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Vibration analysis of fluid-filled functionally graded material (FGM) cylindrical shells (CSs) is investigated with ring supports. The shell problem is formulated by deriving strain and kinetic energies of a vibrating cylindrical shell (CS). The method of variations of Hamiltonian principle is utilized to change the shell integral problem into the differential equation (DE) expression. Three differential equations (DE) in three unknown for displacement functions form a system of partial differential equations (PDEs). The shells are restricted along the thickness direction by ring supports. The polynomial functions describe the influence of the ring supports and have the degree equal to the number of ring supports.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports

Hussain¹,

Shahzad²,

He³

2018

Computational Fluid Dynamics - Basic Instruments and Applications in Science

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“…Arshad et al [20] [21] calculated natural frequencies of the FGM cylindrical shell by various volume fraction laws and under various boundary conditions respectively. Najafizadeh and Isvandzibaei [22] studied the vibration of thin FGM cylindrical shells with ring supports. The study was carried out based on third order shear deformation shell theory.…”

Section: Introductionmentioning

confidence: 99%

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

Khan¹,

Arshad²,

Shah³

et al. 2014

WJM

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In the present study, vibration analysis of a three-layered cylindrical shell is performed whose inner and outer layers are composed of functionally graded materials whereas the middle one is assumed to be of isotropic material. This formation of a cylindrical shell influences stiffness modulii and the resultant material properties. The shell problem is formulated from the constitutive relations of stresses and strains with the displacement deformations and they are taken from Love's thin shell theory. This problem is transformed into the integral form by evaluating the expressions for the strain and kinetic energies of the shell. Rayleigh-Ritz method is employed to solve the shell dynamic equations. Vibration characteristics of these cylindrical shells are investigated for a number of physical parameters and configurations of the fabrication of shells. The axial modal dependence is approximated by the characteristic beam functions that satisfy the boundary conditions. Results evaluated, show good agreement with the open literature.

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“…Ritz polynomial functions for nonrotating shells and characteristic beam functions for rotating ones approximate axial modal dependences. Najafizadeh and Isvandzibaei [9] have studied the vibration characteristics of functionally graded material cylindrical shells with ring support. They based their analysis on higher-order plate theory.…”

Section: Introductionmentioning

confidence: 99%

“…Arshad et al [13,14] also evaluated natural frequencies of bi-layered cylindrical shells by inserting different materials in the layers of the shells. Rayleigh-Ritz numerical technique has been employed to solve the governing equations of motions in the references [9][10][11][12][13][14]. Fluid-filled cylindrical shells have paramount importance in engineering and industries to design pressure vessels, fluid tanks and underground pipe fitting.…”

Section: Introductionmentioning

confidence: 99%

Vibrational Study of Fluid-Filled Functionally Graded Cylindrical Shells Resting on Elastic Foundations

Shah

Mahmood

Arshad

2011

ISRN Mechanical Engineering

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Vibrational characteristics of functionally graded cylindrical shells filled with fluid and placed on Winkler and Pasternak elastic foundations are investigated. Love's thin-shell theory is utilized for strain-displacement and curvature-displacement relationships. Shell dynamical equations are solved by using wave propagation approach. Natural frequencies for both empty and fluid-filled functionally graded cylindrical shells based on elastic foundations are determined for simply-supported boundary condition and compared to validate the present technique. Results obtained are in good agreement with the previous studies. It is seen that the frequencies of the cylindrical shells are affected much when the shells are filled with fluid, placed on elastic foundations, and structured with functionally graded materials. The influence of Pasternak foundation is more pronounced than that of Winkler modulus.

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Vibration of functionally graded cylindrical shells based on higher order shear deformation plate theory with ring support

Cited by 85 publications

References 14 publications

Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports

Vibration Characteristics of Fluid-Filled Functionally Graded Cylindrical Material with Ring Supports

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

Vibrational Study of Fluid-Filled Functionally Graded Cylindrical Shells Resting on Elastic Foundations

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