Free in-plane vibration analysis of rotating annular panels with elastic boundary restraints

Lyu, Peng; Du, Jingtao; Wang, Yuhang; Liu, Zhigang

doi:10.1016/j.jsv.2018.10.004

Cited by 15 publications

(6 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Bagheri and Jahangiri [13] studied the in-plane free vibration of the functionally graded rotating disks with variable thickness. An accurate solution for the in-plane vibration analysis of rotating circular panels with general edge restraints was proposed by Lyu et al [14].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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: Introductionmentioning

confidence: 99%

“…Equations ( 11) through (14) give four expressions about the unknowns of c i . But, according to equation (10), without considering R P,m , one needs obtaining P + 1 coefficients.…”

mentioning

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

“…Kim et al 12 proposed an exact solution to study the in-plane natural vibration behaviors of a circular plate with outer edge restrained elastically. Lyu et al 13 presented an accurate solution for the in-plane vibration analysis of rotating circular panels with general edge restraints.…”

Section: Introductionmentioning

confidence: 99%

“…Lyu et al. 13 presented an accurate solution for the in-plane vibration analysis of rotating circular panels with general edge restraints.…”

Section: Introductionmentioning

confidence: 99%

A unified solution for in-plane vibration analysis of composite laminated sector and annular plate with elastic constraints

Guan

Qin

Zhong

et al. 2021

Journal of Low Frequency Noise, Vibration and Active Control

View full text Add to dashboard Cite

A semi-analytical method for in-plane vibration analysis of a composite laminated annular and sector plate with elastic constraints is presented. The theoretical model is on the basis of a variational method and a multi-segment technique. Displacement variables are expanded by the Jacobian orthogonal polynomial. Boundary conditions and continuity conditions between segments are characterized by penalty parameters. On this basis, a series of numerical examples are given. The results show that the method has good convergence speed and accuracy. Finally, the parametric study of geometric and material parameters is carried out to provide important support for solving the in-plane characteristics of this kind of composite structure.

show abstract

“…For example, Hosseini-Hashemi et al and Lyu et al [9,21] explored the in-plane vibration of annular panels made of the functional gradient materials. Moreover, circular/annular plates are frequently encountered in various rotating machinery, and many research efforts are also made for the in-plane vibration analysis of rotating annular plate, such as the works by Chen and Jhu, Hamidzadeh, and Lyu et al [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

A Semianalytical Solution for In-Plane Vibration Analysis of Annular Panels with Arbitrary Distribution of Internal Point Constraints

Lyu

Liu

2020

Mathematical Problems in Engineering

Self Cite

View full text Add to dashboard Cite

In this paper, a semianalytical solution for the in-plane vibration analysis of annular panel with arbitrary distribution of internal point constraints is established for the first time. In-plane dynamic behavior of such panel structure is described via energy principle. A modified version of Fourier series is constructed for the in-plane vibration displacement expansion supplemented with the boundary smoothed terms, and the arbitrarily concentrated constraint in each field point is described in conjunction with Dirac delta function. A standard matrix eigenvalue problem containing various in-plane modal information of such annular panel is derived and solved through Rayleigh–Ritz procedure. Several numerical examples are presented to demonstrate the correctness and effectiveness of the proposed model by comparing the results with those from other approaches. Three representative types of point constraints, including point, line, and area configurations, are considered by collection of point constraints, and it is shown that the current model can make an accurate and efficient modal parameter prediction for annular panel with such most general case of point constraints.

show abstract

Free in-plane vibration analysis of rotating annular panels with elastic boundary restraints

Cited by 15 publications

References 19 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

A unified solution for in-plane vibration analysis of composite laminated sector and annular plate with elastic constraints

A Semianalytical Solution for In-Plane Vibration Analysis of Annular Panels with Arbitrary Distribution of Internal Point Constraints

Contact Info

Product

Resources

About