Vibration analysis of a thin eccentric rotating circular cylindrical shell

Wu, Zhihua; Yao, Guo; Zhang, Yimin

doi:10.1177/0954406218774349

Cited by 9 publications

(6 citation statements)

References 34 publications

(89 reference statements)

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“…Te second case gives the natural frequency (Hz) of the RCS with uniform thickness under simply supported (S-S) boundary conditions at both ends as shown in Table 4, which is compared with the results in literature [28]. Te cylindrical shell length L � 0.256 m, average radius R � 0.16 m, thickness h � 0.0025 m, elastic modulus E � 110 GPa, Poisson's ratio v � 0.31, density ρ � 4480 kg/m 3 , axial half wave number m � 1, and rotational speed Ω � 20000 r/min.…”

Section: Case Twomentioning

confidence: 98%

Investigation on Free Vibration of Rotating Cylindrical Shells with Variable Thickness

Xiangdong,

Xiaoli,

Bin

et al. 2023

Shock and Vibration

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In order to improve the performance and efficiency of the rotating cylindrical shell (RCS), one of the effective ways reduces the mass of the RCS. The scientific and effective method is to design the variable thickness of RCS (VTRCS) along the axial direction in response to this demand. Then, the vibration traveling wave characteristics of VTRCS are investigated by Chebyshev–Ritz method. The displacement field of the cylindrical shell is expanded in the form of the product of the Chebyshev polynomial and the boundary function. The kinetic and potential energies of the VTRCS are calculated based on the Sanders shell theory considering the effects of Coriolis forces and centrifugal forces. Also, the frequency equation of the VTRCS is obtained according to the Ritz method. The accuracy of the modeling method is verified by comparing the present results with literature that had done, and the convergence of the calculated results is studied. Finally, the free-vibration traveling wave characteristics of the VTRCS in different thickness variations are compared, and the parameters such as the rotational speed, thickness variation parameters, and aspect ratio on the free-vibration traveling wave characteristics of the VTRCS are discussed. The influence of thickness variation on the vibration characteristics is analyzed, which has significance for the lightweight design for VTRCS.

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Section: Case Twomentioning

confidence: 98%

Investigation on Free Vibration of Rotating Cylindrical Shells with Variable Thickness

Xiangdong,

Xiaoli,

Bin

et al. 2023

Shock and Vibration

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“…Vibrations of eccentric structures have been investigated previously. 4–12 Maretic 4 investigated the transverse vibration natural frequencies of a plate with respect to angular speed and eccentricity using Galerkin’s method, which showed that the frequencies separated for asymmetric mode shapes. Wu et al 5 investigated the vibration characteristics of a thin eccentric rotating circular cylindrical shell with simply supported boundary conditions and discovered instabilities caused by eccentricity and rotation.…”

Section: Introductionmentioning

confidence: 99%

“…4–12 Maretic 4 investigated the transverse vibration natural frequencies of a plate with respect to angular speed and eccentricity using Galerkin’s method, which showed that the frequencies separated for asymmetric mode shapes. Wu et al 5 investigated the vibration characteristics of a thin eccentric rotating circular cylindrical shell with simply supported boundary conditions and discovered instabilities caused by eccentricity and rotation. Lu et al 6,7 proposed a new high-order model to investigate the in-plane vibrations of rotation rings, which accounted for the through-thickness variation in stresses and displacements as well as the boundary tractions at the inner and outer surfaces of the ring.…”

Section: Introductionmentioning

confidence: 99%

Dynamic instability of an eccentrically rotating ring-shaped structure

Wei,

Wang,

Wang

2024

Proceedings of the Institution of Mechanical Engineers, Part C:

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Ring-shaped structures are widely used in engineering. However, their rotation axes are typically not coincident with the geometric axes, thus resulting in a rotational centrifugal force and significant vibration. This study focuses on the dynamic instability caused by constant and time-varying eccentricities. An analytical model is established using Hamilton’s principle and the Galerkin method, in which the rotational centrifugal forces resulting from constant and time-varying eccentricities are incorporated. Based on this model, the effects of rotation, revolution, eccentricity ratio, and damping on instability behaviors are examined. The instabilities caused by constant eccentricity are predicted using eigensolutions, whereas those caused by time-varying eccentricity with single- and multifrequency components are estimated by applying the Floquét theory. The results show that the instability domains from the multifrequency eccentricity are not a simple superposition of those from the single-frequency eccentricity but contain more instability domains originating from their combinations. The instability suppressions imposed by damping and gyroscopic effects are compared. Finally, the instability domains from constant and time-varying eccentricities are verified via numerical calculations.

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“…They used trigonometric series for tangential modes and a sum of weighted exponential functions for longitudinal ones. Wu et al (2019) studied free vibration analysis of a thin eccentric rotating cylindrical shell based on the Flugge's thin shell theory. The governing equations were derived using Hamilton's principle and corresponding results were obtained using Galerkin's technique.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of a porous rotor integrated with regular patterns of circumferentially distributed functionally graded piezoelectric patches on inner and outer surfaces

Heidari

Rahaghi

Arefi

2020

Journal of Intelligent Material Systems and Structures

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This article studies dynamic characteristics of a novel porous cylindrical hollow rotor based on the first-order shear deformation theory and Hamilton’s principle. The proposed model is made from a core including aluminum with porosity integrated with an arrangement of functionally graded piezoelectric patches placed on its inner and outer surfaces with a customized circumferential orientation. The piezoelectric patches are subjected to applied electric potential as sensor and actuator. The kinematic relations are developed based on the first-order shear deformation theory. Hamilton’s principle is used to derive governing equations of motion with calculation of strain and kinetic energies and external work. Solution procedure of the partial differential equations of motion is developed using Galerkin technique for simple boundary conditions. The accuracy and trueness of this work is justified using a comprehensive comparison with previous valid references. A large parametric study is presented to show influence of significant parameters such as dimensionless geometric parameters, porosity coefficient, angular speed, inhomogeneous index, and characteristics of patches on the mode shapes, natural frequencies, and critical speeds of the structure.

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Vibration analysis of a thin eccentric rotating circular cylindrical shell

Cited by 9 publications

References 34 publications

Investigation on Free Vibration of Rotating Cylindrical Shells with Variable Thickness

Investigation on Free Vibration of Rotating Cylindrical Shells with Variable Thickness

Dynamic instability of an eccentrically rotating ring-shaped structure

Free vibration analysis of a porous rotor integrated with regular patterns of circumferentially distributed functionally graded piezoelectric patches on inner and outer surfaces

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