基于一次近似模型的风力机叶片振动频率分析方法
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摘要
为分析风力机叶片在旋转时的振动频率,采用刚-柔耦合一次近似模型,并考虑离心刚化效应,推导叶片在旋转时的动力学方程,并给出叶片的刚度和质量矩阵的表达式。最后,计算某风力机叶片在不同转速和不同轮毂半径下的振动频率。计算结果表明,一次近似模型中的刚-柔耦合效应对叶片旋转时的各阶振动频率均有较大影响。研究结果对风力机叶片的动力学设计具有一定参考价值。
To analyze the vibrational frequencies of wind turbine blades under rotation condition,the first order approximation model was adopted and the centrifugal stiffening effect was included to derive the dynamic equation of the rotating blade. The formula of stiffness matrix and mass matrix were given in this paper. Finally,the vibrational frequency of a wind turbine blade was calculated with the different rotation speed and different radius of hub. The results show that the rigid-flexible coupling effect in the first order approximation model has great effects on the vibrational frequencies of rotating blades. The results of the paper have some reference value to the dynamic design of wind turbine blades.
To analyze the vibrational frequencies of wind turbine blades under rotation condition,the first order approximation model was adopted and the centrifugal stiffening effect was included to derive the dynamic equation of the rotating blade. The formula of stiffness matrix and mass matrix were given in this paper. Finally,the vibrational frequency of a wind turbine blade was calculated with the different rotation speed and different radius of hub. The results show that the rigid-flexible coupling effect in the first order approximation model has great effects on the vibrational frequencies of rotating blades. The results of the paper have some reference value to the dynamic design of wind turbine blades.
引文
[1]Yoo Hong Hee,Park Jung Hun,Park Jang Hyun.Vibration analysis of rotating pre-twisted blades[J].Computersand Structures,2001,79(19):1811-1819.
[2]Choi Dong Hwan,Park Jung Hun,Yoo Hong Hee.Modal analysis of constrained multibody systems undergoing rotational motion[J].Journal of Sound and Vibration,2004,280(1-2):63-76.
[3]Park Jung Hun,Park Hyun Yong,Jeong Seok Yong,et al.Linear vibration analysis of rotating wind turbine blade[J].Current Applied Physics,2010,10(2):S332-S334.
[4]John J,Radford D W,Venayagamoorthy S K,et al.Elastic field and frequency variation in extendable wind turbine blades[J].Journal of Solar Energy Engineering,2016,138(5):054502.
[5]孙保苍,李鹏飞.考虑应力刚化影响的风力机叶片振动模态分析[J].可再生能源,2012,30(5):38-41.[5]Sun Baocang,Li Pengfei.The simulation analysis of the vibration modal on a wind turbine blade under the stress stiffening effect[J].Renewable Energy Resources,2012,30(5):38-41.
[6]信伟平.风力机旋转叶片动力特性及响应分析[D].汕头:汕头大学,2005.[6]Xin Weiping.Analysis of dynamic characteristics and response for rotating blades of wind turbine[D].Shantou:Shantou University,2005.
[7]Kane T R,Ryan R,Banerjee A K.Dynamics of a cantilever beam attached to a moving base[J].Journal of Guidance,Control and Dynamics,1987,10(2):139-151.
[8]Yoo H H,Ryan R R,Scott R A.Dynamics of flexible beams undergoing overall motions[J].Journal of Sound and Vibration,1995,181(2):261-278.
[9]Huang Chih Ling,Lin Wen Yi,Hsiao Kuo Mo.Free vibration analysis of rotating Euler beams at high angular velocity[J].Computer and Structures,2010,88(17):991-1001.
[10]吴艳红.旋转叶片刚柔耦合系统动力学研究[D].哈尔滨:哈尔滨工程大学,2011.[10]Wu Yanhong.Dynamic analysis of rigid-flexible coupling system of a rotating blade[D].Harbin:Harbin Engineering University,2011.
[11]Naguleswaran S.Lateral vibration of a centrifugally tensioned uniform Euler-Bernoulli beam[J].Journal of Sound and Vibration,1994,176(5):613-624.
[12]吴胜宝.作大范围运动柔性梁和柔性薄板刚-柔耦合动力学建模与仿真[D].南京:南京理工大学,2009.[12]Wu Shengbao.Modeling and simulation of flexible beam and flexible thin plate undergoing large overall motion on rigid-flexible coupling dynamic[D].Nanjing:Nanjing University of Science and Technology,2009.
[13]刘锦阳.刚-柔耦合动力学系统的建模理论研究[D].上海:上海交通大学,2000.[13]Liu Jinyang.Study on dynamic modeling theory of rigidflexible coupling systems[D].Shanghai:Shanghai Jiao Tong University,2000.
[2]Choi Dong Hwan,Park Jung Hun,Yoo Hong Hee.Modal analysis of constrained multibody systems undergoing rotational motion[J].Journal of Sound and Vibration,2004,280(1-2):63-76.
[3]Park Jung Hun,Park Hyun Yong,Jeong Seok Yong,et al.Linear vibration analysis of rotating wind turbine blade[J].Current Applied Physics,2010,10(2):S332-S334.
[4]John J,Radford D W,Venayagamoorthy S K,et al.Elastic field and frequency variation in extendable wind turbine blades[J].Journal of Solar Energy Engineering,2016,138(5):054502.
[5]孙保苍,李鹏飞.考虑应力刚化影响的风力机叶片振动模态分析[J].可再生能源,2012,30(5):38-41.[5]Sun Baocang,Li Pengfei.The simulation analysis of the vibration modal on a wind turbine blade under the stress stiffening effect[J].Renewable Energy Resources,2012,30(5):38-41.
[6]信伟平.风力机旋转叶片动力特性及响应分析[D].汕头:汕头大学,2005.[6]Xin Weiping.Analysis of dynamic characteristics and response for rotating blades of wind turbine[D].Shantou:Shantou University,2005.
[7]Kane T R,Ryan R,Banerjee A K.Dynamics of a cantilever beam attached to a moving base[J].Journal of Guidance,Control and Dynamics,1987,10(2):139-151.
[8]Yoo H H,Ryan R R,Scott R A.Dynamics of flexible beams undergoing overall motions[J].Journal of Sound and Vibration,1995,181(2):261-278.
[9]Huang Chih Ling,Lin Wen Yi,Hsiao Kuo Mo.Free vibration analysis of rotating Euler beams at high angular velocity[J].Computer and Structures,2010,88(17):991-1001.
[10]吴艳红.旋转叶片刚柔耦合系统动力学研究[D].哈尔滨:哈尔滨工程大学,2011.[10]Wu Yanhong.Dynamic analysis of rigid-flexible coupling system of a rotating blade[D].Harbin:Harbin Engineering University,2011.
[11]Naguleswaran S.Lateral vibration of a centrifugally tensioned uniform Euler-Bernoulli beam[J].Journal of Sound and Vibration,1994,176(5):613-624.
[12]吴胜宝.作大范围运动柔性梁和柔性薄板刚-柔耦合动力学建模与仿真[D].南京:南京理工大学,2009.[12]Wu Shengbao.Modeling and simulation of flexible beam and flexible thin plate undergoing large overall motion on rigid-flexible coupling dynamic[D].Nanjing:Nanjing University of Science and Technology,2009.
[13]刘锦阳.刚-柔耦合动力学系统的建模理论研究[D].上海:上海交通大学,2000.[13]Liu Jinyang.Study on dynamic modeling theory of rigidflexible coupling systems[D].Shanghai:Shanghai Jiao Tong University,2000.