摘要
To investigate the sound scattering characteristics of three paralleling flexible cylindrical shells with the plane incident wave,a mathematical model is established with Fourier series expansion method which involves the flexible vibration,the sound radiation and the rigid scattering of each shell and their coupling through the sound field.With the model,the difference between the flexible radiation term and the rigid scattering term of the sound field of three combined cylindrical shells is calculated and analyzed,as well as the scattering strength of the shells.The results demonstrate that the flexible radiation term can be ignored for ka2>40(f>3000 Hz),and for the instance of ka2>30(f>2400 Hz),the scattering strength error without the flexible radiation term is less than 3 dB.The scattering strength of three shells is approximately equal to the scattering strength of single shell while the incident angle is 0°or vicinity angle,whereas the scattering strength of multi-shells is higher than that of single shell for the distinct incident angle.The mathematical model in this paper could be easily extended to solve the problems of transmission and reflection of random number of resistant cylindrical shells.
To investigate the sound scattering characteristics of three paralleling flexible cylindrical shells with the plane incident wave,a mathematical model is established with Fourier series expansion method which involves the flexible vibration,the sound radiation and the rigid scattering of each shell and their coupling through the sound field.With the model,the difference between the flexible radiation term and the rigid scattering term of the sound field of three combined cylindrical shells is calculated and analyzed,as well as the scattering strength of the shells.The results demonstrate that the flexible radiation term can be ignored for ka2> 40（f> 3000 Hz）,and for the instance of ka2> 30（f> 2400 Hz）,the scattering strength error without the flexible radiation term is less than 3 dB.The scattering strength of three shells is approximately equal to the scattering strength of single shell while the incident angle is 0°or vicinity angle,whereas the scattering strength of multi-shells is higher than that of single shell for the distinct incident angle.The mathematical model in this paper could be easily extended to solve the problems of transmission and reflection of random number of resistant cylindrical shells.
