Free vibration analysis of FGM circular cylindrical shells resting on the Pasternak foundation and partially in contact with stationary fluid

Shahbaztabar, Arash; Izadi, Ahmad; Sadeghian, Mohsen; Kazemi, Mehdi Mohammad

doi:10.1016/j.apacoust.2019.04.012

Cited by 23 publications

(9 citation statements)

References 44 publications

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“…In 2020, Baghlani et al [3] presented the Euler-Lagrange equations and higher-order shear deformation theory (HSDT) of displacements to study the natural frequency for the fluid-filled FGM cylindrical shells surrounded by Pasternak elastic foundation. In 2019, Shahbaztabar et al [4] presented the eigenvalue equation and FSDT of displacements to study the natural frequency for the fluid-filled FGM cylindrical shells surrounded by Pasternak elastic foundation by also considering the constant value of shear correction factor equal to 5/6 for the transverse shear force. In 2019, Babaei et al [5] presented the two step perturbation technique and HSDT of displacements to study the natural frequency for the FGM cylindrical panels resting on nonlinear elastic foundation.…”

Section: Introductionmentioning

confidence: 99%

Advanced Frequency Study of Thick FGM Cylindrical Shells by Using TSDT and Nonlinear Shear

Hong

2022

Preprint

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For the advanced frequency study of thick functionally graded material (FGM) circular cylindrical shells, it is interesting to consider the extra effects of nonlinear coefficient term in third-order shear deformation theory (TSDT) of displacements on the calculation of varied shear correction coefficient. The formulation for the advanced nonlinear shear correction coefficient are based on the energy equivalence principle. The values of nonlinear shear correction coefficient are usually functions of nonlinear coefficient term of TSDT, power-law exponent parameter and environment temperature. The free vibration frequencies of thick FGM circular cylindrical shells are investigated with the simply homogeneous equation by considering that simultaneous effects of the TSDT, the nonlinear shear correction coefficient of transverse shear force and the two direction of mode shapes.

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Section: Introductionmentioning

confidence: 99%

Advanced Frequency Study of Thick FGM Cylindrical Shells by Using TSDT and Nonlinear Shear

Hong

2022

Preprint

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“…The motion equation for the eigenvalue problem was obtained using Rayleigh-Ritz method as well as the variational approach. Shahbaztabar et al [38] investigated the free vibrations of FGM cylinders implanted into a Pasternak elastic foundation, based on the first-order shear deformation theory and the Rayleigh-Ritz method. The cylindrical shells were in partial or full contact with a fluid.…”

Section: Introductionmentioning

confidence: 99%

Natural frequencies analysis of functionally graded circular cylindrical shells

Alshabatat

Zannon

2021

ACM

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In the present work, a study on natural frequencies of functionally graded materials (FGM) circular cylindrical shells is presented. TheFGM is considered to be a mixture of two materials. The volumetric fractions are considered to vary in the radial direction (i.e., through the thickness) in compliance with a conventional power-law distribution. The equivalent material properties are estimated based on the Voigt model. The analysis of the FGM cylindrical shells is performed using the third-order shear deformation shell theory and the principle of virtual displacements. Moreover, the third-order shear deformation shell theory coupled with Carrera’s unified formulation is applied for the derivation of the governing equations associated with the free vibration of circular cylindrical shells. The accuracy of this method is examined by comparing the obtained numerical results with other previously published results. Additionally, parametric studies are performed for FGM cylindrical shells with several boundary conditions in order to show the effect of several design variables on the natural frequencies such as the power-law exponent, the circumferential wave number, the length to radius ratio and the thickness to radius ratio.

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“…The results obtained establish a reference solution for the free vibration analysis of an isotropic/orthotropic cylindrical plate. Using the first-order shear deformation theory as a framework, Shahbaztabar et al [25] studied the free vibration of ceramic and metal functionally graded cylindrical shells, the effects of fluid depth ratio, elastic foundation, volume fraction index, geometric parameters, and boundary conditions on natural frequency are discussed. Duc [26] used the theory of high-order shear deformation to study the nonlinear dynamic response of S-FGM cylindrical shell composed of metal–ceramic–metal layers on elastic foundations subjected to thermo-electro-mechanical and damping loads.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of three-layer thin cylindrical shell with variable thickness two-dimensional FGM middle layer under arbitrary boundary conditions

Miao

Jiang

et al. 2021

Jnl of Sandwich Structures & Materials

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In this paper, a unified method is developed to analyze free vibrations of the three-layer functionally graded cylindrical shell with non-uniform thickness. The middle layer is composed of two-dimensional functionally gradient materials (2D-FGMs), whose thickness is set as a function of smooth continuity. Four sets of artificial springs are assigned at the ends of the shells to satisfy the arbitrary boundary conditions. The Sanders’ shell theory is used to obtain the strain and curvature-displacement relations. Furthermore, the Chebyshev polynomials are selected as the admissible function to improve computational efficiency, and the equation of motion is derived by the Rayleigh–Ritz method. The effects of spring stiffness, volume fraction indexes, configuration on of shell, and the change in thickness of the middle layer on the modal characteristics of the new structural shell are also analyzed.

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Free vibration analysis of FGM circular cylindrical shells resting on the Pasternak foundation and partially in contact with stationary fluid

Cited by 23 publications

References 44 publications

Advanced Frequency Study of Thick FGM Cylindrical Shells by Using TSDT and Nonlinear Shear

Advanced Frequency Study of Thick FGM Cylindrical Shells by Using TSDT and Nonlinear Shear

Natural frequencies analysis of functionally graded circular cylindrical shells

Free vibration analysis of three-layer thin cylindrical shell with variable thickness two-dimensional FGM middle layer under arbitrary boundary conditions

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