Selecting Measurement Locations to Minimize Reconstruction Error Using the Inverse Boundary Element Method

Abstract

This paper details an approach to select measurement point locations for the inverse boundary element method. An accurate reconstruction of the vibration requires a well conditioned acoustic transfer matrix, which depends on measurement point selection. Matrix techniques can be used to regularize the solution though they often lead to poor reconstruction rank. A technique to determine the number of measurement points required, and their placement, prior to measurement has been developed using three criteria: uniqueness, completeness, and measurement point density. With this technique, the reconstruction error and the number of measurements can be minimized.

Reconstruction of low-frequency bridge noise using an inverse modal acoustic transfer vector method

“…22 Thus, to permit accurate reconstruction, a large number of field points should be selected 28 for the measurement. The criteria for the number, location and density of measurement points can be found in Martinus et al 29…”

“…The criteria for the number, location and density of measurement points can be found in Martinus et al. 29…”