Analytical analysis of the vibration of propulsion shaft under hull deformation excitations

Résumé

An analytical method to solve vibration of the propulsion shaft under hull deformation excitations is introduced. The model of shaft with the excitations at bearings is seen as a simplified propulsion shaft-ship hull system, as bearings could be assumed as the connection structures that transmit the forces from hull to shaft. The equations of shaft motion and continuity/boundary conditions are presented and hull excitations are included in the continuity conditions equations. Vibration characteristics of shaft under hull excitations are gained. The effects of propeller, supports stiffness, the location of hull excitations, the amplitude of excitations and the size of shaft are discussed.

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