@article{Hamiani_Boumediene_Kandouci_2025, author = {Hamiani, Ahmed and Boumediene, Kadda and Kandouci, Chahreddine}, title = {Calculation of Free and Forced Lateral Vibrations of a Shaft Line Using Solution Coefficient Vectors}, journal = {TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation}, volume = {19}, number = {3}, pages = {1041-1051}, year = {2025}, url = {./Article_Calculation_of_Free_and_Forced_Hamiani,75,1589.html}, abstract = {In this paper, the free and forced lateral vibrations of a marine propulsion shafting system on anisotropic supports are computed using the vectors of solution coefficients method. The transverse vibrations are considered in two orthogonal planes. The effect of the oil film in the bearings is taken into account. The stern tube bearing is considered as an elastic support of Winkler’s type. The whirling mode shapes for free vibrations of the system were calculated using the algebraic complements according to I.P. Natanson. The results show a decrease in vertical static deformation due to the distributed weight of the shaft line during the operation of the propelling system. This straightening of the propeller shaft explains the increase in the thickness of the oil film in the stern bearing, as observed by naval engineers.}, doi = {10.12716/1001.19.03.39}, issn = {2083-6473}, publisher = {Gdynia Maritime University, Faculty of Navigation}, keywords = {Propulsion Shafting Lateral Vibrations, Whirling Mode Shapes, Solution Coefficient Vectors Method, Anisotropic Bearing Supports, Oil Film Stiffness Coefficients, Forced Vibration Response, Natural Frequency Separation Margin, Static Deflection of Shaft Line} }