Acoustic radiation modes analysis and high resolution reconstruction of normal vibration velocity on plate structures

A method was proposed to construct velocity basis vectors with acoustic radiation modes,and the vectors won't be affected by the grids distribution,thus it can be applied to high resolution reconstruction of the normal velocity on a plate.Firstly,the acoustic radiation modes of the plate with sparse grids are calculated,and then the basis vectors are constructed with the acoustic radiation modes and the corresponding mode coefficients,afterwards the weights of basis vectors are solved with measured sound pressure in the sound field.Lastly,the normal velocity on the plate is reconstructed from the weights and another series of basis vectors of dense grids.The numerical simulation was calculated with sound source of a simple supported plate.When the SNR of measured sound pressure was 30 dB,the smallest reconstruction error of the normal velocity reached to 3.7% at low frequency.The experimental verification was implemented with a clamped plate in an anechoic chamber,and the reconstruction error was less than 7% at frequency 131.5 Hz.The method proposed realized that the normal velocity distribution on a plate can be reconstructed with higher resolution with only fewer sound pressure measurements.