Analysis of sound transmission through a finite length thick-walled cylindrical shell in the presence of an exterior turbulent boundary layer using an extended full method

This paper investigates the sound transmission of a thick-walled cylindrical shell of finite length excited by an exterior turbulent boundary layer (TBL). The boundary conditions at both ends of the structure are considered to be simply supported. To drive wave propagation into the thick-walled cylindrical shell, the Extended Full Method (EFM) is applied. Additionally, Corcos and Efimtsov models are employed to characterize pressure fluctuation caused by the TBL. Since the equations of acoustic pressures and shell displacements are extended in a double Fourier series, the convergence of the solutions in both axial and circumferential modes is investigated. The validation of the results of the present method is being done using the Statistical Energy Analysis (SEA) method, with the structure being modeled in VA One software. The results indicate an acceptable agreement between the SEA method and EFM. Analytical predictions reveal that sound transmission by finite-length thick-walled cylindrical shells, with a ratio of radius to thickness less than 18.5, is significantly reduced with increasing shell thickness in the low-frequency range. However, in the frequency range above 5000 Hz, this trend in transmission continues to decrease. Also, it is shown by the results that as turbulent pressure and free flow speed increase, sound transmission within the structure is enhanced. •the Extended Full Method (EFM) is presented to solve the equations.•Investigating the effect of turbulent flow on a thick-walled cylindrical shell.•The validation of the result using the Statistical Energy Analysis (SEA) method.•Increasing density decreases sound radiation, particularly in the high-frequency range.•Increasing the thickness of the shell resulted in a reduction in sound transmission through the structure.