Coriolis Acceleration Effect on the Vibration of a Rotating Thin-Walled Circular Cylinder

DiTaranto, R. A.; Lessen, Martin

doi:10.1115/1.3629733

Cited by 79 publications

(46 citation statements)

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“…For a cylindrical shell with a closed cross-section and arbitrary boundary conditions at the two ends (at x = 0 and x = L, where L is the length of the shell), the three displacement components can be assumed in the form (17) where ω is a natural frequency. Note that in Eq.…”

Section: Cylindrical Shell With a Closed Cross-section And Arbitrary mentioning

confidence: 99%

“…He studied the vibrations of a rotating ring and described the travelling modes phenomenon. These phenomena result from the Coriolis effect, as shown in the example of infinitely long rotating cylindrical shells [17,18], as well as in finite rotating cylinders [19,20]. An experimental study on the flexural vibrations of a thin rotating ring is given in [21].…”

Section: Introductionmentioning

confidence: 99%

“…In fact, it is often the case that axisymmetric shells rotate around the axis of symmetry [16][17][18][19][20][21][22][24][25][26][27][28][29][30]. Rotating shells of revolution are found in engineering practice in rotor systems of gas turbine engines, high-speed centrifugal separators, rotating satellite structures, automotive tyres, etc.…”

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: Cylindrical Shell With a Closed Cross-section And Arbitrary mentioning

confidence: 99%

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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“…It was in this study that the travellingmode phenomenon was discovered. DiTaranto and Lessen [1964] later took into account the effects of Coriolis forces in their study of an infinitely long rotating thin-walled isotropic cylindrical shell, and concluded that Coriolis forces have a significant impact on the natural frequencies of the shell. Subsequently, Srinivasan and Lauterbach [1971] combined both the Coriolis forces and travelling modes phenomena in their study of infinitely long, rotating isotropic cylindrical shells.…”

Section: Introductionmentioning

confidence: 99%

Effects of Boundary Conditions on the Natural Frequencies and Critical Speeds of Rotating Cylindrical Shells

Koh²

2011

International Journal of Aerospace and Lightweight Structures (

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In this paper, we examine the effects of boundary conditions on the vibration and critical speeds of rotating cylindrical shells. The present work is based on the Love hypothesis for classical thin shells. In addition, the effects due to the shell rotation, namely the centrifugal forces, Coriolis acceleration and initial hoop tension, have been incorporated into the formulation. A Galerkin formulation is presented, with characteristic beam functions being employed to describe the displacement field. Through this numerical procedure, the roots of the determinant of the characteristic matrix of the rotating shell system are calculated, and the natural frequencies and critical speeds can be subsequently obtained. The effects of boundary conditions on the natural frequencies of various modes of vibration of the rotating shells are first examined. Then we investigate the effects of length, axial mode number and boundary conditions, on the critical speeds of the rotating shells.

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“…It is often the case that axisymmetric shells rotate around the axis of symmetry [14][15][16][17][18][19][20][21][22][23][24][25][26][27]. For example, rotating shells of revolution are found in engineering practice in rotor systems of gas turbine engines, highspeed centrifugal separators, rotating satellite structures, and automotive tires.…”

Section: Introductionmentioning

confidence: 99%

Sophisticated finite strip for vibration analysis of a rotating cylindrical shell

et al. 2018

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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

Coriolis Acceleration Effect on the Vibration of a Rotating Thin-Walled Circular Cylinder

Cited by 79 publications

References 0 publications

A finite strip for the vibration analysis of rotating cylindrical shells

A finite strip for the vibration analysis of rotating cylindrical shells

Effects of Boundary Conditions on the Natural Frequencies and Critical Speeds of Rotating Cylindrical Shells

Sophisticated finite strip for vibration analysis of a rotating cylindrical shell

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