| The tension leg platform or an articulated tower is a typical system of fluid and structure interaction, which is a focus in resent research. Simply, there are two models, rigid and flexible models, respectively, as a flexible model. TLP is divided into two parts. One kind of models considered the leg as an elastic beam while the platform as a rigid body connected to the beam. Another is considered that the platform as a tip mass, attached with the beam. In this paper, the last one of flexible models is used. Based on Hamilton's principle, the equations of motion and boundary conditions are obtained. By using the central difference method, the response of the structure with different vortex-shedding loads is obtained. The main work of this dissertation is showed as follows:1. The equations of motion and boundary conditions of the structure in two and three dimensions are established by considering transverse strain.2. The influence of the transverse strain on the response is obtained.3. The vibration characteristics of the structure in two dimensions by considering transverse strain are analyzed simply.4. The software of numerical calculation is programmed. |