Effect of partial elastic foundation on free vibration of fluid-filled functionally graded cylindrical shells

Kim, Young-Wann

doi:10.1007/s10409-015-0442-5

Cited by 22 publications

(9 citation statements)

References 28 publications

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“…It is clear from Table 2 that the results of present method are in good agreement with those of Kim [25] and Loy et al [35]. The maximum difference is about 3.02%.…”

Section: Numerical Results and Discussionsupporting

confidence: 87%

“…This is because the current study utilizes the first-order shear deformation theory along with Sanders-type strain-displacement relations, which covers the classic shell theory and Donnelltype nonlinear strain-displacement relations used by Ref. [25] and [35].…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Few researchers have also studied the effect of elastic foundation on the free vibration of partial-filled fluid shells, Technical Editor: José Roberto de França Arruda. e.g., [24][25][26][27]. Shen et al [28] and Daneshjou et al [29] investigated wave propagation and transient response of a fluid-filled FGM by different methods of finite elements.…”

Section: Introductionmentioning

confidence: 99%

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A semi-analytical boundary method in investigation of dynamic parameters of functionally graded storage tank

Khayat

Baghlani

Dehghan

2020

J Braz. Soc. Mech. Sci. Eng.

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In this study, semi-analytical boundary method is adopted to examine dynamic parameters of partially fluid-filled cylindrical shells made of functionally graded materials. Material properties are assumed to radially variable in terms of volume fraction of ceramic and metal according to a simple power law distribution. The shells are reinforced by stiffeners in which the material properties of shell and stiffeners are assumed to be continuously graded in thickness direction. Displacements and rotations of the shell middle surface, the liquid velocity potential function and the free surface displacements are approximated by combining polynomial functions in meridian direction and truncated Fourier series and Bessel function. A detailed numerical study is carried out to investigate the effects of different parameters on dynamic response of stiffened functionally graded partially fluid-filled shell.

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“…It is clear from Table 2 that the results of present method are in good agreement with those of Kim [25] and Loy et al [35]. The maximum difference is about 3.02%.…”

Section: Numerical Results and Discussionsupporting

confidence: 87%

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A semi-analytical boundary method in investigation of dynamic parameters of functionally graded storage tank

Khayat

Baghlani

Dehghan

2020

J Braz. Soc. Mech. Sci. Eng.

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“…Increasingly, computer computations have been used to investigate the vibrational properties of cylindrical shells through different models basis. [22][23][24] The method of choice which allows for the study of fundamental frequencies cylindrical shells over various combinations of parameters is based on the wave propagation approach (WPA) . Moreover, the present model based on WPA for estimating the natural frequencies of FGM cylindrical shell has been demonstrated to converge faster than the other approaches.…”

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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“…The present CS is analyzed by applying the Galerkin technique (GT) for their vibrations. This approach is very expedient, simple and convenient to use to find vibration frequencies and has been widely engaged by numerous mathematicians [25,28,29]. Modal displacement forms are designated by x, Ψ and t. The following modal deformation displacement functions for u, v and w are adopted as:…”

Section: Application Of Galerkin Techniquementioning

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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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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Effect of partial elastic foundation on free vibration of fluid-filled functionally graded cylindrical shells

Cited by 22 publications

References 28 publications

A semi-analytical boundary method in investigation of dynamic parameters of functionally graded storage tank

A semi-analytical boundary method in investigation of dynamic parameters of functionally graded storage tank

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

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

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