Solution Of Sound Sensitivity Based On The Acoustic Radiation Modes Model

In this paper the theory of acoustic radiation modes is introduced,and the formula of sound power is built based on the acoustic radiation modes.Sound power sensitivity is gained by sound power partial derivated about the physical structure parameters or shape and geometric parameters.Because in the intermediate frequency and low frequency range,the contribution of the former acoustic radiation modes occupy the the vast majority percentage of the total sound power,and the percentage will be reduced dramatically along with the increase of the acoustic radiation modes' order.In the sound power sensitivity study,the previous order acoustic radition modes and the previous order acoustic radition modes' expansion coefficients sensitivity are requested only.Because the radiation modes is related with the surface shape parameters and frequency of the driving forces only,not with the physical structure parameters,the solution of sound power sensitivity about the physical structure parameters changes become simple.Based on the above remarks,the solving method of sound power seneitivity based on acoustic radiation modes model is presentedIn solution of the two-dimensional structure sound power sensitivity about physical structure parametric changes,to add stiffened in the back of the simply supported plate as a simulation,the solution of sound power sensitivity is based on acoustic radiation modes model and based on the Rayleigh integral model respectively.Using the common method- based on the Rayleigh integral model as the standard,based on the acoustic radition modes model method is feasible and high accuracy by approved.And it is found that the first-order acoustic radiation mode's sensitivity occoupy the vast majority percentage of the total sound power sensitivity.In solution of two-dimensional structure sound power sensitivity about shape parametric changes,as a simulation model the length and width of the flat plate will change but the flat plate area will not.The shape parameters changes are not only to change the dynamic response of the structure,but also to change the acoustic radiation characteristics of the structure.Acoustic radiation modes will change along with the shape parameters change,which makes the solution method of the sound power sensitivity using acoustic radiation modes to be unconvenient.However,in the case of the same area and shape parameters change,the first-order mode radiation efficiency which is the most interesting part is still the same.Therefore the first-order radiation mode's sound power sensitivity will be used to approximate the overall sound power sensitivity.Difference method of sound power sensitivity be used as a standard to verify this approach.For the shape parameters changes,this method is simple and very high accuracy also.In order to further research- the method of the solution of sound power sensitivity based on acoustic radiation modes model,it is used in the three-dimensional vibration structer model as a preliminary research.The method of the solution of sound power sensitivity based on acoustic radiation modes model is still faced with the problem of singular integrals.To deal with the issue of singular integrals,the coordinate transformation method is used in this paper.As a simulation of the pulse ball radius' changes,the accurate solution of the sound power sensitivity is adopted as a standard to verify this approach.Consequently,the method of the solution of sound power sensitivity based on acoustic radiation modes model is feasible and high accuracy.In order to solve the sound power sensitivity about the physical structure parameters change,this method is very convenient and very quickly.