Vibration characteristics of thin rotating cylindrical shells with various boundary conditions

Sun, Shupeng; Chu, Shiming; Cao, Dengqing

doi:10.1016/j.jsv.2012.04.018

Cited by 96 publications

(38 citation statements)

References 35 publications

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“…Closed-form solutions are now difficult to obtain. A number of investigations have been undertaken to tackle this problem [33][34][35][36][37][38][39]. One of the solutions was obtained by assuming the shell displacement field as a product of Fourier series in the axial direction, and trigonometric functions in the circumferential direction [36].…”

Section: Introductionmentioning

confidence: 99%

“…One of the solutions was obtained by assuming the shell displacement field as a product of Fourier series in the axial direction, and trigonometric functions in the circumferential direction [36]. This procedure has been recently extended to rotating cylindrical shells [37]. The problem of the free vibration of a rotating cylindrical shell having arbitrary boundary conditions can also be solved by employing the Rayleigh-Ritz method.…”

Section: Introductionmentioning

confidence: 99%

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A finite strip for the vibration analysis of rotating cylindrical shells

Senjanović

Ćatipović

Alujević

et al. 2018

Thin-Walled Structures

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In this article, a two-node finite strip with eight degrees of freedom for the free vibration analysis of pre-stressed rotating cylindrical shells is formulated. The circumferential mode shape profiles are described exactly using trigonometric functions. The axial mode shape profiles are approximated by bar and beam shape functions for membrane and bending displacements, respectively. In this way, a semi-analytical formulation is facilitated so that discretisation is required only in the axial direction. The accuracy and convergence of the developed finite strip are confirmed by comparisons with the analytical results. Excellent agreement is observed both for stationary and rotating shells.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A finite strip for the vibration analysis of rotating cylindrical shells

Senjanović

Ćatipović

Alujević

et al. 2018

Thin-Walled Structures

View full text Add to dashboard Cite

show abstract

“…Boundary conditions such as free-free, clamped-free and clampedclamped are considered in the study. This methodology has been recently extended by Sun et al [38] to rotating cylindrical shells including the effects of centrifugal and Coriolis forces and the initial hoop tension. Alternatively, the Rayleigh-Ritz method can be employed to derive the frequency equations of rotating cylinders.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for free vibrations of rotating cylindrical shells having free boundary conditions

Alujević

Campillo-Davó

Kindt

et al. 2017

Engineering Structures

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a b s t r a c tIn this paper free vibrations of rotating cylindrical shells with both ends free are studied. The model used also allows for considering a flexible foundation supporting the shell in the sense of a radial and circumferential distributed stiffness. Furthermore, a circumferential tension (hoop stress) which may be due to pressurisation or centrifugal forces is taken into account. Natural frequencies and mode shapes are determined exactly for both stationary shells and for shells rotating with a constant angular speed around the cylinder axis. Trigonometric functions are assumed for the circumferential mode shape profiles, and a sum of eight weighted exponential functions is assumed for the axial mode shape profiles. The functional form of the axial profiles is shown to greatly vary with the roots of a characteristic bi-quartic polynomial that occurs in the process of satisfying the equations of motion. In the previously published work it has been very often assumed that the roots are two real, two imaginary, and two pairs of complex conjugates. In the present study, a total of eight types of roots are shown to determine the whole set of mode shapes, either for stationary or for rotating shells. The results using the developed analytical model are compared with results of experimental studies and very good agreement is obtained. Also, a parametric study is carried out where effects of the elastic foundation stiffnesses and the rotation speed are examined.

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“…Closed form solutions become difficult to obtain. A number of investigations have been undertaken to tackle this problem [29][30][31][32][33][34][35][36][37]. One of the solutions has been obtained by assuming shell displacement field as a product of Fourier series in the axial direction and trigonometric functions in the circumferential direction [32].…”

Section: Introductionmentioning

confidence: 99%

“…One of the solutions has been obtained by assuming shell displacement field as a product of Fourier series in the axial direction and trigonometric functions in the circumferential direction [32]. This procedure has been recently extended to rotating cylindrical shells [33]. The problem of free vibration of rotating cylindrical shell, having arbitrary boundary conditions, can be also solved by employing the Rayleigh-Ritz method.…”

Section: Introductionmentioning

confidence: 99%

Sophisticated finite strip for vibration analysis of a rotating cylindrical shell

et al. 2018

View full text Add to dashboard Cite

Abstract. In this article a two-node finite strip with eight degrees of freedom for free vibration analysis of pre-stressed rotating cylindrical shells is formulated. The circumferential mode shape profiles are described exactly using trigonometric functions. The axial mode shape profiles are approximated by bar and beam shape functions for membrane and bending displacements, respectively. In this way a semi-analytical formulation is facilitated so that the discretization is required only in the axial direction. The developed finite strip is validated by comparisons with analytical results. An excellent agreement is observed both for stationary and rotating shells.

show abstract

Vibration characteristics of thin rotating cylindrical shells with various boundary conditions

Cited by 96 publications

References 35 publications

A finite strip for the vibration analysis of rotating cylindrical shells

A finite strip for the vibration analysis of rotating cylindrical shells

Analytical solution for free vibrations of rotating cylindrical shells having free boundary conditions

Sophisticated finite strip for vibration analysis of a rotating cylindrical shell

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