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...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.展开更多
Combining structural finite element method(FEM),acoustic finite element and boundary element methods,a model of elastic shell vibration of an arbitrary shell-cavity structure coupled with internal and external sound f...Combining structural finite element method(FEM),acoustic finite element and boundary element methods,a model of elastic shell vibration of an arbitrary shell-cavity structure coupled with internal and external sound fields is built.In addition,the transfer matrices from the excitation force to vibration of the shell and internal sound field are calculated.As the fluctuating pressure of turbulent boundary layer(TBL) is a temporal-spatial random surface excitation,the overall shape function matrix is introduced,and then the relationship between power spectral density matrix of the generalized nodal force of the elastic shell and power spectral density of the temporal-spatial random surface excitation is derived.Utilizing the vibro-acoustic coupled transfer matrix,relationships between the power spectral densities of vibration of the elastic shell/internal sound field and the power spectral density matrix of the generalized nodal force are obtained.Thus,the calculation method of vibration and internal sound field of an arbitrary shell-cavity structure induced by temporal-spatial random surface excitation is established.A typical vibro-acoustic coupled model of a rectangular cavity with acoustic media internally and externally,and with elastic rectangular plate on one side,is taken as example.The vibration of the elastic shell and power spectral density of the internal sound field are calculated and compared with the analytical method.The two results generally agree with the analytical one,with deviations of about 1 dB and 2 dB,respectively.The transfer matrix method has good adaptability which is not restricted by the shell-cavity structure and the shape of the inner region.展开更多
The self-noise in cavity is tested in the circling tank, prediction method of cavity's self-noise induced by turbulent boundary layer is established. The window's vibration is using the simply supported boundary con...The self-noise in cavity is tested in the circling tank, prediction method of cavity's self-noise induced by turbulent boundary layer is established. The window's vibration is using the simply supported boundary condition, the sound wave in the cavity is expanded using the rigid wall boundary condition, the modal coupling vibration equation between them is established using the radiation boundary condition. The turbulent boundary layer pulsating pressure is random, the self-noise power spectrum in the cavity is solved. Test of self-noise and turbulent pressure is carried out in the circling tank when the flow velocity is 5 m/s and 8 m/s, the result verifies that the theoretical method can predict the real cavity's hydrodynamic noise approximately, the trends are similar, this provides one analytical method for sonar dome's material selection and noise control.展开更多
文摘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.
基金supported by the National Key Laboratory of Science and Technology on Submarine Acoustic Stealth (6142204180504)。
文摘Combining structural finite element method(FEM),acoustic finite element and boundary element methods,a model of elastic shell vibration of an arbitrary shell-cavity structure coupled with internal and external sound fields is built.In addition,the transfer matrices from the excitation force to vibration of the shell and internal sound field are calculated.As the fluctuating pressure of turbulent boundary layer(TBL) is a temporal-spatial random surface excitation,the overall shape function matrix is introduced,and then the relationship between power spectral density matrix of the generalized nodal force of the elastic shell and power spectral density of the temporal-spatial random surface excitation is derived.Utilizing the vibro-acoustic coupled transfer matrix,relationships between the power spectral densities of vibration of the elastic shell/internal sound field and the power spectral density matrix of the generalized nodal force are obtained.Thus,the calculation method of vibration and internal sound field of an arbitrary shell-cavity structure induced by temporal-spatial random surface excitation is established.A typical vibro-acoustic coupled model of a rectangular cavity with acoustic media internally and externally,and with elastic rectangular plate on one side,is taken as example.The vibration of the elastic shell and power spectral density of the internal sound field are calculated and compared with the analytical method.The two results generally agree with the analytical one,with deviations of about 1 dB and 2 dB,respectively.The transfer matrix method has good adaptability which is not restricted by the shell-cavity structure and the shape of the inner region.
文摘The self-noise in cavity is tested in the circling tank, prediction method of cavity's self-noise induced by turbulent boundary layer is established. The window's vibration is using the simply supported boundary condition, the sound wave in the cavity is expanded using the rigid wall boundary condition, the modal coupling vibration equation between them is established using the radiation boundary condition. The turbulent boundary layer pulsating pressure is random, the self-noise power spectrum in the cavity is solved. Test of self-noise and turbulent pressure is carried out in the circling tank when the flow velocity is 5 m/s and 8 m/s, the result verifies that the theoretical method can predict the real cavity's hydrodynamic noise approximately, the trends are similar, this provides one analytical method for sonar dome's material selection and noise control.