Vibration analysis of supported thick-walled cylindrical shell made of functionally graded material under pressure loading

Isvandzibaei, Mohammad Reza; Jamaluddin, Hishamuddin; Hamzah, Rohana

doi:10.1177/1077546314538297

Cited by 9 publications

(5 citation statements)

References 33 publications

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“…Other examples of rotating cylindrical shells are gas turbines, high power jet engine, and high speed centrifugal separator. 5 Study of dynamics of rotating cylindrical shells is to avoid the crack under high rotational speed, rotation induced stresses, rotators, material fatigue damage.…”

Section: Introductionmentioning

confidence: 99%

Effect of Winkler and Pasternak elastic foundation on the vibration of rotating functionally graded material cylindrical shell

Hussain

Isvandzibaei

2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this paper, vibration characteristics of rotating functionally graded cylindrical shell resting on Winkler and Pasternak elastic foundations have been investigated. These shells are fabricated from functionally graded materials. Shell dynamical equations are derived by using the Hamilton variational principle and the Langrangian functional framed from the shell strain and kinetic energy expressions. Elastic foundations, namely Winkler and Pasternak moduli are inducted in the tangential direction of the shell. The rotational motions of the shells are due to the Coriolis and centrifugal acceleration as well as the hoop tension produced in the rotating case. The wave propagation approach in standard eigenvalue form has been employed in order to derive the characteristic frequency equation describing the natural frequencies of vibration in rotating functionally graded cylindrical shell. The complex exponential functions, with the axial modal numbers that depend on the boundary conditions stated at edges of a cylindrical shell, have been used to compute the axial modal dependence. In our new investigation, frequency spectra are obtained for circumferential wave number, length-to-radius ratio, height-to-radius ratio with simply supported–simply supported and clamped–clamped boundary conditions without elastic foundation. Also, the effect of elastic foundation on the rotating cylindrical shells is examined with the simply supported–simply supported edge. To check the validity of the present method, the fundamental natural frequencies of non-rotating isotropic and functionally graded cylindrical shells are compared with the open literature. Also, a comparison is made for infinitely long rotating with the earlier published paper.

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Section: Introductionmentioning

confidence: 99%

Effect of Winkler and Pasternak elastic foundation on the vibration of rotating functionally graded material cylindrical shell

Hussain

Isvandzibaei

2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Furthermore, Ebrahimi and Sepiani [ 6 ] compared the linear buckling and natural frequency of static and period loaded FGM cylindrical shells for the results of classical thin shell theory and first-order shear deformation theory (FSDT). Additionally, Isvandzibaei et al [ 7 , 8 , 9 ] investigated the free vibration behavior of FGM cylindrical shells with ring support effects based on Love–Kirchhoff [ 7 ] and first-order theory [ 8 , 9 ], with various boundary conditions. Kim [ 10 ] investigated the free vibration analysis of shear deformable FGM cylindrical shells partially surrounded by a Pasternak foundation model with an oblique edge.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Buckling Behavior of Spiral Corrugated Sandwich FGM Cylindrical Shells Surrounded by an Elastic Medium

et al. 2020

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This paper presents a semi-analytical approach for investigating the nonlinear buckling and postbuckling of spiral corrugated sandwich functionally graded (FGM) cylindrical shells under external pressure and surrounded by a two-parameter elastic foundation based on Donnell shell theory. The improved homogenization theory for the spiral corrugated FGM structure is applied and the geometrical nonlinearity in a von Karman sense is taken into account. The nonlinear equilibrium equation system can be solved by using the Galerkin method with the three-term solution form of deflection. An explicit solution form for the nonlinear buckling behavior of shells is obtained. The critical buckling pressure and the postbuckling strength of shells are numerically investigated. Additionally, the effects of spiral corrugation in enhancing the nonlinear buckling behavior of spiral corrugated sandwich FGM cylindrical shells are validated and discussed.

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“…Isvandzibaei et al. (2016) used the Ritz method to analyze free vibration behavior of a thick walled FGM CS subjected to internal pressure.…”

Section: Introductionmentioning

confidence: 99%

Parametric study of three-dimensional vibration of viscoelastic cylindrical shells on different boundary conditions

Sadeghi

Alibeigloo

2019

Journal of Vibration and Control

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In this research based on theory of elasticity, free vibration behavior of a viscoelastic cylindrical shell with different boundary conditions is studied. A constitutive equation for viscoelastic material is assumed to obey the Boltzmann model and Poisson's ratio is held to be constant. Moreover, the Prony series is used to model time dependent modulus of elasticity. Governing equations of motions for simply-supported edges conditions are solved analytically using the state-space technique along the radial coordinate and the Fourier series method along the axial and circumferential directions. In the case of other edges condition a semi-analytical solution is employed by using the differential quadrature method instead of Fourier series solutions. It is worthy to note before solving the problem, that the Laplace transform is employed to convert governing differential equations from the time-domain into the Laplace domain. Then, validation of the present formulation is performed by comparing the numerical results with those published in the literature. Finally, effect of viscoelastic properties, boundary conditions, the thickness-to-radius ratio and length-to-radius ratio on the frequency behavior are studied.

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Vibration analysis of supported thick-walled cylindrical shell made of functionally graded material under pressure loading

Cited by 9 publications

References 33 publications

Effect of Winkler and Pasternak elastic foundation on the vibration of rotating functionally graded material cylindrical shell

Effect of Winkler and Pasternak elastic foundation on the vibration of rotating functionally graded material cylindrical shell

Nonlinear Buckling Behavior of Spiral Corrugated Sandwich FGM Cylindrical Shells Surrounded by an Elastic Medium

Parametric study of three-dimensional vibration of viscoelastic cylindrical shells on different boundary conditions

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