Frequency analysis of functionally graded material cylindrical shells with various volume fraction laws

Arshad, Shahid Hussain; Naeem, Muhammad; Sultana, Nazra

doi:10.1243/09544062jmes738

Cited by 66 publications

(68 citation statements)

References 15 publications

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“…This work was extended by Pradhan et al [19] by studying the vibration of FGM cylindrical shell for various boundary conditions. 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.…”

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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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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“…They based their analysis on higher-order plate theory. Arshad et al [10] studied the natural frequencies of FGM cylindrical shells by exponential volume fraction law with base e (= 2.718 . .…”

Section: Introductionmentioning

confidence: 99%

“…Shah et al [11] further modified and extended this volume fraction law to a general base (b > 0). Arshad et al [12] also extended their work of reference [10] to study the natural frequencies of FGM cylindrical shells under the influence of various boundary conditions with exponential volume fraction law. Arshad et al [13,14] also evaluated natural frequencies of bi-layered cylindrical shells by inserting different materials in the layers of the shells.…”

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%

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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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“…In 2007, Arshad et al [20] have analyzed natural frequencies of FGM cylindrical shell with exponential and trigonometric volume fraction laws. Shah et al [21] also used exponential volume fraction law to study the vibration frequencies of FGM cylindrical shells by varying the base element of this law.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of bi-layered FGM cylindrical shells

et al. 2010

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In the present study, a vibration frequency analysis of a bi-layered cylindrical shell composed of two independent functionally graded layers is presented. The thickness of the shell layers is assumed to be equal and constant. Material properties of the constituents of bi-layered functionally graded cylindrical shell are assumed to vary smoothly and continuously through the thickness of the layers of the shell and are controlled by volume fraction power law distribution. The expressions for strain-displacement and curvature-displacement relationships are utilized from Love's first approximation linear thin shell theory. The versatile Rayleigh-Ritz approach is employed to formulate the frequency equations in the form of eigenvalue problem. Influence of material distribution in the two functionally graded layers of the cylindrical shells is investigated on shell natural frequencies for various shell parameters with simply supported end conditions. To check the validity, accuracy and efficiency of the present methodology, results obtained are compared with those available in the literature.

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Frequency analysis of functionally graded material cylindrical shells with various volume fraction laws

Cited by 66 publications

References 15 publications

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

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

Vibration analysis of bi-layered FGM cylindrical shells

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