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In this paper, an analytical model is proposed to describe the nonlinear vibration of blades on floating offshore wind turbine (FOWT). The bending-torsion coupling equations are derived based on Hamilton's principle. Comparing with the classical Newtonian method, this approach is more mathematically rigorous and systematic. The flapwise and edgewise deformation, the torsion as well as axial extension of the blades are all included in the model. A set of partial differential equations governing the coupled nonlinear vibration is established, and the results are compared with the multi-body model. Some details about the solution of equations are discussed. The eigen values of a rotating blade is also calculated. The structural model proposed in this paper can be widely used in the future study. For example, it can be coupled with an aerodynamic model to study the aeroelastic properties of the wind turbine blades. The effect of platform motion on blade dynamic response can also be obtained based on this analytical model. INTRODUCTION Wind energy development has been paid more and more attention these years because of its contribution of relief the global warming and energy problem. With the technical advance and increasing demand for electricity, wind turbine has been developed from land to deep water with a larger capacity and structural scale. The length of wind turbine rotor blades is also enlarged for capturing more wind energy (see Fig.1). As the blade becoming longer, the flexibility of blade structure is also increased, and the blade deformation seems to be more complex. In the process of operation, the blade is subjected to gravity, centrifugal force, and aerodynamic force. These forces cause the blade deformed at four different directions including longitudinal vibration (named axial extension), out of-plane bend (named flap), in-plane/edgewise bend (named lead/lag) and torsion [1]. The aeroelastic response of wind turbine blades is influenced by the structural coupling between bending and torsion of the blade. Bending–torsion coupling creates a feedback between the aerodynamic forces, which induce bending moments in the blade, and the blade torsion, which is directly related to the angle of attack and thus the aerodynamic forces [2]. Usually there are two kinds of models of blade to Proceedings of the ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering OMAE2018 June 17-22, 2018, Madrid, Spain

An Analytical Model of Floating Offshore Wind Turbine Blades Considering Bending-Torsion Coupling Effect