Research On Sound Source Identification Method Based On Kalman Filtering With Time Domain Plane Wave Superposition Method

Near-field acoustic holography(NAH)is an acoustic technique with powerful capabilities in sound source identification and sound field visualization.It can predict the acoustic vibration characteristics of the surface or near-field of a sound source by measuring the sound pressure or vibration velocity distribution in the vicinity of the source.In practical engineering,planar sound sources are ubiquitous.Therefore,it is extremely important to study the acoustic propagation characteristics of planar sources,and it can also help us to understand the acoustic properties of complex-shaped sources well.The time-domain plane wave superposition method(TDPWSM)is a typical acoustic method that can reconstruct the sound field radiated by planar sources.However,the process of solving the inverse operation and the use of regularization in the reconstruction of the sound field by TDPWSM can lead to accumulated errors and even divergence of the reconstruction results.In this paper,we propose a non-stationary acoustic field reconstruction method based on the Kalman filtered time-domain plane wave superposition method(KF-TDPWSM)to address the shortcomings of TDPWSM in reconstructing non-stationary acoustic fields and combine the characteristics of Kalman filter forward iterative operations.The effectiveness of the proposed KF-TDPWSM is verified through simulations and experiments,and the advantage that the KF-TDPWSM can reduce the cumulative error with higher stability in the reconstruction process compared with the TDPWSM is highlighted through parametric discussions.Since the vibration characteristics of the sound source surface are also of great value for engineering research,a non-stationary vibration speed reconstruction method based on KF-TDPWSM is proposed,and the effectiveness of the method is verified through experiments.The details of the study are as follows.In chapter one,the background and significance of NAH are described,then the development trend and research status of NAH are introduced,and finally the research content of this paper is determined according to the shortcomings of TDPWSM in reconstructing non-stationary sound field and the advantages of Kalman filter algorithm.In chapter two,the Kalman filter principle is introduced and the five core formulas of the Kalman filter algorithm are summarized.Then,the theoretical derivation of the non-stationary sound field reconstruction method based on TDPWSM is carried out,and the effectiveness of the reconstruction of the non-stationary sound field generated by the plate sound source is verified by numerical simulation.In chapter three,the non-stationary sound field reconstruction method based on KF-TDPWSM is analyzed.Firstly,the theoretical derivation of the method is carried out,and then the method is verified by numerical simulations.In the simulations,the time-domain waveforms,temporal and spatial distributions,and phase and amplitude evaluation factors of the theoretical and reconstructed sound pressures are analyzed to prove the effectiveness of the method.In addition,the advantage that the proposed KF-TDPWSM can reconstruct the non-stationary sound field more stably compared with the TDPWSM is demonstrated by analyzing parameters such as the position of the virtual source surface,the position of the holographic surface,and the wave number Q.In order to further verify the effectiveness of the proposed KF-TDPWSM,impact plane steel plate experiments are conducted in a semi-anechoic chamber,and the verification method and parameter discussion are consistent with the numerical simulation.In chapter four,a non-stationary vibration velocity reconstruction method based on KF-TDPWSM is proposed.First,the theoretical derivation of the method is presented,and then the method is validated by an impact flat steel plate experiment.In the experimental study,the effectiveness of the method is verified by analyzing the time-domain waveforms,spatial distribution,and phase and amplitude evaluation factors of the measured and reconstructed vibrational velocities.In chapter five,the research content of this paper is summarized and future problems that need to be solved are presented.