Free Standing Hybrid Riser is a new type riser that has been proposed in recent years.In this paper,the dynamic response of FSHR is analyzed by the analysis of mathematical theory.In this paper,the mathematical equations of vortex-induced motion at the top of the FSHR is derived,and solving the equations by the theoretical solution and the numerical solution with the parameters are from the Roncador P-52 oil and gas field in the Campos Basin in Brazil,studying the response characteristic and the change rule of FSHR.In this paper,the mathematical equations of vortex-induced vibration of rigid riser of FSHR is derived,and motion response of buoy will be as a boundary condition at the top of rigid riser.Using MATLAB to solve the equations by the finite difference method,and comparing with the vibration of the top tension riser under the same condition.Finally came to the conclusion.In this paper,the fatigue life analysis equations of rigid riser of FSHR is derived,using MATLAB to solve the equations by the finite difference method with the vortex-induced vibration data of rigid riser,and comparing with the fatigue life of the top tension riser under the same condition.Analyzing the fatigue life of rigid riser of FSHR.The results show that the buoy of FSHR has a huge impact to the vortex-induced vibration of rigid riser,the vibration modal number,vibration frequency and vibration amplitude of rigid riser are more than the top tension riser under the same condition,but fatigue life is lower than the top tension riser under the same condition. |