On the use of full-field receptances in inverse vibro-acoustics for airborne structural dynamics

Dynamic airborne pressure fields may become a concern for the excitation of lightweight structures and components in aerospace and automotive engineering. Full-field optical techniques can nowadays estimate accurate receptance maps to describe the fre- quency domain relation between excitation forces and displacement maps on lightweight components, where the inertia-related distortions of traditional transducers are not allowed. The usage of the receptances in the Rayleigh integral approximation of sound radiation from a vibrating surface is here followed in early attempts of inverse vibro-acoustics, with the aim to identify, once the airborne pressure field is known in its spectrum, the broad frequency band force that is transmitted to the excitation points used in the direct FRF problem. Details and considerations on the inverse formulation of the problem, together with examples coming from a real thin plate tested, are provided in this work.