Resonance widening in spherical GW detectors: model descriptions of the dissipation processes

摘要

Internal friction effects are responsible for line widening of the resonancefrequencies in mechanical oscillators and result in damped oscillations of itseigenmodes with a decay time Q/\omega. We study the solutions to the equationsof motion for the case of spherical oscillators, to be used as next generationof acoustic gravitational wave detectors, based on various differentassumptions about the material's constituent equations. Quality factordependence on mode frequency is determined in each case, and a discussion ofits applicability to actual gravitational wave detectors is made on the basisof available experimental evidence.