Analytical Modeling of the Vibro-Acoustic Response of a Double-Walled Cylindrical Shell With Microperforation Excited by Turbulent Boundary Layer Pressure Fluctuations

Abstract

An analytical model is developed to investigate the vibro-acoustic response of a double-walled cylindrical shell with the inner wall perforated when excited by the external turbulent boundary layer (TBL) pressure fluctuations. The shell motion is governed by the Donnell’s thin shell theory, and the mean particle velocity model is employed to describe the boundary condition between the microperforated shell and fluid media. Numerical results indicate that the transmission loss (TL) for the configuration of microperforating the inner wall could be larger than that for the conventional solid double-walled cylindrical shell with and without the core of porous material over a wide frequency range. Comparison between TL results with excitations from the TBL and the acoustic diffuse field (ADF) shows that with the thought of microperforating the inner shell, to reduce the acoustical excitation will be of more importance than the flow excitation over the ring frequency for a quiet interior space. Parametric studies illustrate that the perforation ratio is the main factor affecting the sound insulation performance through the total reactance.

Investigation of sound transmission through a finite length cylindrical shell in the presence of an exterior turbulent boundary layer

“…Meyer and Renou (2016) developed the vibro-acoustic behavior of a ribbed cylindrical shell coupled to internal structures using the methods wavenumber-point reciprocity technique and the Condensed Transfer Function (CTF). An analytical model to investigate the vibro-acoustic response of a double-walled cylindrical shell with the inner wall perforated when excited by the external TBL pressure fluctuations was suggested by Zhang et al(2018). Maxit and Guasch (2020, 2017) proposed the numerical and semi-analytical methods to model the vibro-acoustic behavior of submerged cylindrical shells periodically stiffened by axisymmetric frames and excited by a homogeneous fully developed TBL.…”

Study on the Vibration and Sound Radiation Performance of Micro-Perforated Laminated Cylindrical Shells

“…These applications include indoor sound field adjustment [2,3], muffler design [4,5], sound barriers [6,7], acoustic windows [8], and more. Zhang et al [9,10] suggest that when subjected to external plane waves or external turbulent boundary layer pressure excitation, the micro-perforation theory of the inner shell can theoretically enhance the mid-frequency sound insulation performance of double-walled cylindrical shells. However, in both of these cases, adding a lining in the annular space of the double-walled cylindrical shell does not improve the structural sound insulation performance.…”

“…The paper reveals the influence of different sandwich shell structures, micro-perforation parameters (porosity, aperture), sound-absorbing foam materials, and installation methods. This study is beneficial for enhancing vibration reduction and noise reduction performance in areas such as automobiles, aircraft, buildings, and industrial equipment [10], providing a valuable reference for the design and performance optimization of double-layer cylindrical shell structures.…”

Vibroacoustic responses of a heavy fluid loaded cylindrical shell excited by a turbulent boundary layer

“…They showed that the shell responses due to TBL excitation formulated by the Corcos and Efimtsov models were similar at higher frequencies. In a similar study, Zhang et al (2018) investigated the effect of microperforation at the inner wall on sound transmission in a double walled cylindrical shell under external TBL excitation.…”