Frequency response function statistics of diffuse systems

Vibro-acoustic analysis at high frequencies is challenging due to a large sensitivity spatial variations and short acoustical wavelengths, rendering deterministic methods expensive. At these frequencies, the wave field usually assumed diffuse. A realization of diffuse can be obtained considering that mode shapes system are Gaussian random fields, its squared eigenfrequency spacings distribution conforms orthogonal ensemble (GOE) eigenvalue distribution. These properties were for example used extend statistical energy (SEA) towards energetic variance prediction. However, such as SEA lack propagation phase information, which means that, e.g., time-domain reconstruction not possible. In this contribution, instead total energies, expressions average cross-frequency covariance frequency response functions presented. from generalized definition field, treating eigenfrequencies subsystem collection points randomly located on axis, making amenable point process theory. numerically validated by comparison with computationally costly detailed models where scatterers modeled explicitly.