Large-amplitude vibrations of thin-walled rotating laminated composite cylindrical shell with arbitrary boundary conditions

Li, Chaofeng; Li, Peiyong; Zhong, Bingfu; Miao, Xueyang

doi:10.1016/j.tws.2020.106966

Cited by 30 publications

(6 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Nonlinear vibration analysis of turbine bladed disks with mid-span dampers was studied by Ferhatoglu et al [17] utilizing Harmonic Balance Method, Alternating Frequency/Time approach, and Newton-Raphson method. Large amplitude vibrations of thinwalled rotating laminated composite cylindrical shell with arbitrary boundary conditions were examined by Li et al [18] considering the large amplitude vibration of rotating shells with geometric nonlinearity. e coupling vibration characteristics of a rotating disk-beam system with the dovetail interfaces were analyzed by She et al [19] based on a continuum model.…”

Section: Cigeroglu and öZgüvenmentioning

confidence: 99%

Analytical Modeling of Transverse Vibrations and Acoustic Pressure Mitigation for Rotating Annular Disks

Norouzi

Younesian

2022

Mathematical Problems in Engineering

View full text Add to dashboard Cite

This paper gives an analytical approach for investigating free and forced transverse vibrations of a clamped-free rotating annular disk and obtaining the acoustic pressure distribution around the spinning disk. In the beginning, a modal analysis based on new analytical methods is carried out to find natural frequencies and mode shapes of the disk. Forced vibration of the disk is then investigated using Galerkin’s method. An analytical approach based on Laplace transformation is used to obtain time-dependent coefficients of the transverse response. A passive control strategy is examined for reducing the amplitudes of the transverse vibrations. The properties of the absorbers are examined in order to obtain the best performance. Rayleigh integral method and Durbin’s numerical Laplace transform inversion technique are adopted to compute the acoustic pressure around the rotating disk. Finally, a parametric study is performed and the effects of the design parameters as well as rotational conditions on the vibrational responses and the sound pressure of the spinning disk are examined.

show abstract

Section: Cigeroglu and öZgüvenmentioning

confidence: 99%

Analytical Modeling of Transverse Vibrations and Acoustic Pressure Mitigation for Rotating Annular Disks

Norouzi

Younesian

2022

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…Based on the first-order shear deformation theory and the spectral-Tchebychev technique, Guo et al [68] employed the artificial spring technique to predict the free vibration behaviour of laminated stepped and stiffened cylindrical shells under arbitrary boundary conditions. Li et al [69] presented a dynamic model for predicting the large amplitude vibration of the thin-wall rotating laminated shells under arbitrary boundary conditions. Li et al [70] studied the free vibration of conical-conical shells under elastic boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Free and Forced Vibration Analysis of Carbon/Glass Hybrid Composite Laminated Plates Under Arbitrary Boundary Conditions

Li,

Guedes Soares,

Liu

et al. 2024

Appl Compos Mater

View full text Add to dashboard Cite

This paper presents the theoretical investigations on the free and forced vibration behaviours of carbon/glass hybrid composite laminated plates with arbitrary boundary conditions. The unknown allowable displacement functions of the physical middle surface are expressed in terms of standard cosine Fourier series and sinusoidal auxiliary functions to ensure the continuity of the displacement functions and their derivatives at the structural boundaries. Arbitrary boundary conditions are achieved through the introduction of an artificial spring technique. The first shear deformation theory and Lagrange equations are utilized to derive the energy expression, and the eigenvalue equations associated with free and forced vibration are obtained by Rayleigh-Ritz variational operations. Subsequently, these equations are then solved to determine the natural frequency, mode of vibration, and the steady-state displacement response under forced excitation. The new results are compared with those from references and finite element methods to verify the convergence, accuracy and efficiency of the analytical method. The effects of hybrid ratios, stacking sequences, lamination schemes, fibre orientation, boundary conditions and excitation force on the free and forced vibration behaviours of the carbon/glass hybrid composite laminated plates are analyzed in detail.

show abstract

“…Gu et al [22] performed the nonlinear vibration of graphene platelets reinforced pre-twisted composite blades. Li et al [23] reported the nonlinear vibrations of rotating composite shells under arbitrary boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Multiple internal resonances of rotating composite cylindrical shells under varying temperature fields

Liu

Wang

et al. 2022

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

Composite cylindrical shells, as key components, are widely employed in large rotating machines. However, due to the frequency bifurcations and dense frequency spectra caused by rotation, the nonlinear vibration usually has the behavior of complex multiple internal resonances. In addition, the varying temperature fields make the responses of the system further difficult to obtain. Therefore, the multiple internal resonances of composite cylindrical shells with porosities induced by rotation with varying temperature fields are studied in this paper. Three different types of the temperature fields, the Coriolis forces, and the centrifugal force are considered here. The Hamilton principle and the modified Donnell nonlinear shell theory are used to obtain the equilibrium equations of the system, which are transformed into the ordinary differential equations (ODEs) by the multi-mode Galerkin technique. Thereafter, the pseudo-arclength continuation method, which can identify the regions of instability, is introduced to obtain the numerical results. The detailed parametric analysis of the rotating composite shells is performed. Multiple internal resonances caused by the interaction between backward and forward wave modes and the energy transfer phenomenon are detected. Besides, the nonlinear amplitude-frequency response curves are different under different temperature fields.

show abstract

Large-amplitude vibrations of thin-walled rotating laminated composite cylindrical shell with arbitrary boundary conditions

Cited by 30 publications

References 31 publications

Analytical Modeling of Transverse Vibrations and Acoustic Pressure Mitigation for Rotating Annular Disks

Analytical Modeling of Transverse Vibrations and Acoustic Pressure Mitigation for Rotating Annular Disks

Free and Forced Vibration Analysis of Carbon/Glass Hybrid Composite Laminated Plates Under Arbitrary Boundary Conditions

Multiple internal resonances of rotating composite cylindrical shells under varying temperature fields

Contact Info

Product

Resources

About