Abstract
The inverse time domain boundary element method (ITBEM) that is derived from the direct time domain boundary element method by eliminating the retarded time is able to reconstruct the transient pressure and flux on the surface of an arbitrarily shaped source by measuring the pressure on a hologram surface. In the present work, the ITBEM is applied to reconstruct the transient pressure and acceleration over the surface of a tire which is supported away from the ground in a semi-anechoic chamber. The tire is impacted by a rigid sphere to generate a transient sound field, and the measurement is controlled by a trigger which is connected to an acceleration sensor stuck on the surface of the tire. The pressure and acceleration on the surface of the tire are reconstructed from the holographic pressure measured by array microphones. By visualizing the pressure and acceleration with respect to the elapsed time, the wave propagation phenomenon of the pressure and acceleration on the surface of the tire is shown clearly. The comparison of the reconstructed surface acceleration to the measured one demonstrates the effectiveness of ITBEM for transient sound field reconstruction.
Highlights
Nearfield acoustic holography (NAH) was first documented in the early 1980s [1,2] for the reconstruction of acoustic field based on the measurement of acoustic pressures on a hologram plane
In order to reconstruct the acoustic field radiated by arbitrarily shaped sources, the inverse boundary element method (IBEM) was proposed in the late 1980s [4,5]
The inverse time domain boundary element method (TBEM) (ITBEM) is based on the time domain boundary integral equation which can be expressed as [15]
Summary
Nearfield acoustic holography (NAH) was first documented in the early 1980s [1,2] for the reconstruction of acoustic field based on the measurement of acoustic pressures on a hologram plane. In order to reconstruct the acoustic field radiated by arbitrarily shaped sources, the inverse boundary element method (IBEM) was proposed in the late 1980s [4,5]. An inverse TBEM (ITBEM) was developed for transient sound field reconstruction by Zhang et al [14]. They combined the surface and field time domain integral equations and shifted the time axis of the field integral equation to rule out the retarded time, and solved the combined equations implicitly in a marching-on-intime (MOT) way. The ITBEM is applied to reconstruct the transient pressure and acceleration over an impacted tire surface from the measured pressure. The effectiveness of ITBEM is illustrated through the comparison of the measured and reconstructed accelerations
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