A general analysis of the added mass and damping of a marine propeller in all rigid body modes of rigid body, vibration is presented. This derivation assumes that the pressure distribution on a propeller blade due to a unit heave oscillation or unit pitch oscillation about the midchord point is available. These results show that eighteen coefficients are needed to completely characterize the added mass and damping of a propeller. Two-dimensional thin foil theory and lifting-line theory are used to obtain the blade pressure distributions in the PRAMAD computer program which calculates the added mass and damping of a Vibrating propeller. This program incorporates approximate lifting surface corrections. Results are presented to show the effects of advance coefficient, vibration frequency, blade number, and skew on propeller added mass and damping. Preliminary design equations are presented for the estimation of all eighteen added mass and damping coefficients of 4-, 5-, 6-, and 7- bladed Wageningen a-series propellers.

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