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

Hamed Norouzi,Davood Younesian,Ji Wang

doi:10.1155/2022/3722410

Abstract

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.

Highlights

Many researchers have studied the dynamic behavior of the rotating disks and the acoustic pressure radiated by them because of their wide application in the engineering [1]. e importance of vibrations and acoustic radiation of rotating disks can be found in a different array of practical applications such as circular saws, hard disks, gas turbines, automobile parts, and aerospace structures [2]
E vibration and the noise reduction of an optical disk derived using a vibration absorber was studied by Heo et al [4], and the required fundamental natural frequency of the absorber was obtained using a finite-element model
Inplane free vibration of circular annular disks was studied by Bashmal et al [7]. ey presented a generalized formulation for the in-plane modal characteristics of circular annular disks under combinations of all possible classical boundary conditions

Summary

Introduction

Many researchers have studied the dynamic behavior of the rotating disks and the acoustic pressure radiated by them because of their wide application in the engineering [1]. e importance of vibrations and acoustic radiation of rotating disks can be found in a different array of practical applications such as circular saws, hard disks, gas turbines, automobile parts, and aerospace structures [2]. Some numerical, analytical, and experimental studies have been performed to examine the dynamic analysis of and the acoustic radiation from rotating disks.

Results

Conclusion