Discusses finite element method modelling of tilting gate vibrations. Considers first free vibration of a structure without water, and outlines the solution procedure. For structures in contact with water the added mass is determined from pressure distribution calculations using Laplace's equation. The fluid region is divided into tetrahedral and pentrahedral three dimensional elements. Describes comparison of numerical calculations (with the PROMES program developed) with measurements on model tests and actual gates. (C.J.U.)