Reconstruction of a Vibration Field from Acoustical Measurements: A New Inverse Method Based on the Concept of Pellicular Acoustic Modes

This paper describes a new approach for performing indirect vibration measurements using acoustic measurements and an inverse calculation procedure based on a finite element model and a new type of hierarchical basis (so-called pellicular modes) for representing the unknown vibration field.

The paper first presents the theory of the method. A parametric study on a simple test case then highlights the effect of the number of microphones and of the background noise level on the quality of the reconstruction of the vibration pattern. The application to a real set of acoustic data on a section of an ATR regional aircraft is then provided.