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1、 176 动 力 学 与 控 制 学 报 2012 年第 10 卷 nalysis of the offshore wind turbine blades Journal of Marine Science and Application, 2011 , 10 : 82 87 11 J W Larsen,S R K Nielsen Nonlinear dynamics of wind turbine wings International Journal of Nonlinear Mechanics, 2006 , 41 : 629 643 12 J W Larsen,S R K Nielse

2、n Nonlinear parametric insta13 bility of wind turbine wings Journal of Sound and Vibration, 2007 , 299 : 64 82 J W Larsen,R Iwankiewicz,S R K Nielsen Nonlinear stochastic stability analysis of wind turbine wings by Monte Carlo simulations Probabilistic Engineering Mechanics, 2007 , 22 : 181 193 FLAP

3、WISE CHARACTERISTICS OF A WIND TURBINE BLADE WITH LARGE DEFLECTION * 3 Liu Qikuan1, Li Liang2 Zhang Zhijun3 Li Yinghui2 ( 1 Department of Mathematics KunMing University,Kunming 650214 , China) ( 2 School of Mechanics and Engineering Southwest Jiao tong University,Chengdu 610031 , China) China) ( 3 C

4、ollege of Mathematics Chengdu University of Information Technology,Chengdu 610225 , Abstract The characteristics of flap vibration of a wind turbine blade with large deflection were studied The governing equation of the vibration under unsteady aerodynamic loads,whose expressions were derived from t

5、he Greenberg expressions,was established by applying the Hamiltonian principle The RayleighRitz method was the partial differential equation used to calculate frequencies and mode functions Based on these mode functions, governing the vibration was discreted by using the Galerkin s method The displa

6、cement was resolved to static displacement and dynamic displacement,and the equations of the static and dynamic displacement were obtained The effects of the inflow ration to the static displacement and the aerodynamic damping were discussed The dynamic response was analyzed by using the nonlineardy

7、namical tools The results show : 1 ) that the static displacement rises with the inflow ratio,and it reaches the limit at the blade tip; 2 ) that the vibration is a harmonic motion for small inflow ratio,and it becomes a quasiharmonic motion when the inflow ratio is big Key words wind turbine blade, large deflection, flap vibration Received 9 October 2011 , revised 14 February 2012 * The project supported by National Natural Science Foundation of China ( 11072204 ) , Basic Research in Applic

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