Vibroacoustic analysis of an unbaffled rotating disk

The dynamic and acoustic response of an unbaffled rotating disk, subjected to a space-fixed harmonic lateral force, is investigated. The plate is supposed to be clamped at the inside and free at the outer boundary. The exciting force being space-fixed, the mass and stiffness matrices, obtained from the variational method combined with the Rayleigh–Ritz approach in the rotating frame, are converted back to the nonrotating frame, where the generalized force and the displacements of the plate are evaluated. The related acoustic pressure, neglecting fluid loading, is determined using a boundary element formulation. Special attention has been given to ensure correct modeling of the unbaffled condition on the radiation of the plate. Results are presented to show the effect of rotation for both dynamic response and acoustic radiation. A practical case is also investigated: the circular saw. To simulate the exciting force of the saw, a measurement of the force induced by one tooth has been done. Then, a retarded-...