This paper examines the resonant frequencies, Mode shapes, and damping values for a square plate suppcirted by an oil film. Such a study is motivated by interesl: in oil-supported slip tables used for vibration testing. Rtssonant frequencies and percent critical damping were measured for four cases: plate freely suspended; plate with free end conditions and suppoited by an oil film; plate fixed at several locations; and plate fixed at several locations while supported by an oil film. Analytical estimates of the modal properties and modal propertie!j derived from measured data are compared and discrepancies discussed