Numerical calculation of vertical hull vibrations of ships by discretizing the vibration system¹

Article type: Research Article

Authors: de Vries, J.

Affiliations: Mathematician Institute T.N.O. for Mechanical Constructions

Note: [1] Publication of the Netherlands Research Centre T.N.O. for Shipbuilding and Navigation.

Abstract: When the ship may be considered as an elementary beam, many methods exist for calculating the natural frequencies from a known mass- and stiffness distribution. One of these is elucidated in this paper. The method is well-suited for calculating more than one natural frequency of the ship. Shear stiffness and rotary enertia can be taken into account. The presentation in this paper is entirely tuned to the use of an electronic digital computer with a modern programme library. The cost of a calculation with such a machine is given; it proves to be remarkably low. The accuracy of the method is very satisfactory. It is illustrated in three test problems. Part of the mathematical treatment may be new.

DOI: 10.3233/ISP-1964-1111803

Journal: International Shipbuilding Progress, vol. 11, no. 118, pp. 276-290, 1964