风力机叶片气动弹性工程简化模型的探索分析
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摘要
为了在工程应用中快速方便地处理风力机叶片的气动弹性问题,往往需要将具体的风力机叶片进行适当的简化处理。该文由此目的出发,通过对以往经验的归纳分析,得到在地面固有频率测试时风力机叶片模型可简化为以相对半径0.500处截面为特征截面的等截面梁,而实际工况下的风力机叶片模型可简化为以相对半径0.875处截面为特征截面的等截面梁,以方便今后风力机叶片气动弹性问题的快速工程建模分析。最后与风力机工程中解决叶片气动弹性问题惯用的建模方法进行比较,以验证其合理性。
In order to solve aeroelastic problem of wind turbine blade quickly and easily,often need to simplify the wind turbine blade modle.Based on past experiences,this paper get the simplified engineering aeroelastic wind turbine blade modle on the ground to 0.500 relative bending radius section as uniform beam regular section.And actual conditions of the machines can simplify the model with a radius of 0.875 relative bending radius section as uniform beam regular section to make fast engineering aeroelastic analysis.Finally comparing with past experiences about aeroelastic wind turbine blade model,this paper verifies its rationality.
In order to solve aeroelastic problem of wind turbine blade quickly and easily,often need to simplify the wind turbine blade modle.Based on past experiences,this paper get the simplified engineering aeroelastic wind turbine blade modle on the ground to 0.500 relative bending radius section as uniform beam regular section.And actual conditions of the machines can simplify the model with a radius of 0.875 relative bending radius section as uniform beam regular section to make fast engineering aeroelastic analysis.Finally comparing with past experiences about aeroelastic wind turbine blade model,this paper verifies its rationality.
引文
[1]杜朝亮,苏先樾.风机叶片振动及稳定性研究的进展[A].全国风力机空气动力学术会议论文集[C],兰州,2007,68—71.
[2]贺德馨.风工程与工业空气动力学[M].北京:国防工业出版社,2006,185—187.
[3]Miller R H,Dugundji J,Chopra I,et al.Dymanics ofhorizontal axis wind turbines[M].Wind Energy Conver-sion,1978.
[4]陈佐一,魏芳.作用在风力机振荡叶片上的二维非定常气动力[J].空气动力学学报,1987,5(1):11—21.
[5]曹人靖,刘霞,马昊冥.基于压力表示法的水平轴风力机风轮气动弹性稳定性模型及应用[J].太阳能学报,2003,24(2):227—231.[5]Cao Renjing,Liu Xia,Ma Haomin.Aero-elastic stabilitymodel of wind turbine blade based on pressure representa-tion method and its application[J].Acta Energiae SolarisSinica,2003,24(2):227—231.
[6]Rasmussen M H F,Hansen M H,Thomsen K,et al.Present status of aeroelasticity of wind turbines[J].WindEnergy,2003,6(3):213—228.
[7]李仁年,张玉良,胡文瑞.叶片制备与新技术[A].全国风力机空气动力学术会议论文集[C],兰州,2007,84—91.
[8]陈余岳.大型风力机玻璃钢叶片设计[J].玻璃钢/复合材料,1998,(4):17—20.[8]Chen Yuyue.Design of lage GRP wind turbine blades[J].Fiber Reinforced Plastics/Composite,1998,(4):17—20.
[9]杨延洲,李赫.SFD4—1000风力机玻璃钢桨叶的结构与工艺[J].应用科技,1989,(2):8—13.
[10]勒古里雷斯D(著),施鹏飞(译).风力机的理论与设计[M].北京:机械工业出版社,1987.
[11]马振基,林育锋.复合材料在风力发电上的应用发展[J].高科技纤维与应用,2005,30(4):5—8,14.[11]Ma Zhenji,Lin Yufeng.Applications and developments ofcomposite materialsin wind electricity generation[J].Hi-tech Fiber&Application,2005,30(4):5—8,14.
[12]杜朝辉,朱春健.水平轴风力机三维流场实验研究[D].上海:上海交通大学,2005.
[13]侯清玉,包立平.晶体中声子和光子的区别与联系[J].陕西师范大学学报(自然科学版),2004,32(S1):78—80.[13]Hou Qinguyu,Bao Liping.the difference and contact be-tween phnon and rhoton inside crystal[J].Journal ofShaanxi Normal University(Natural Science Edition),2004,32(S1):78—80.
[14]陈媛媛,余金中,严清峰,等.SOI波导弯曲损耗影响因素的分析[J].半导体学报,2005,26(1):216—219.
[15]廖明夫,刘晓燕.风力机叶片的颤振分析[J].风力发电,2004,20(4):18—25.
[16]Biryukov S V,Gulyaev Y V,Krylov W,et a1.Surface a-coustic waves in inhomogenoeus media[M].Berlin Hei-delberg Springer-Verlag,1995.
[17]韩新月,申新贺,陈严,等.科氏力对水平轴风力机叶片的影响[J].能源工程,2008,(3):8—11.[17]Han Xinyue,Shen Xinhe,Chen Yan,et al.The influ-ence of coriolis force on the horizontal axis wind turbineblabe[J].Energy Engineering,2008,(3):8—11.
[18]李永强,郭星辉,李健.科氏力对旋转叶片动频的影响[J].振动与冲击,2006,25(1):82—84.[18]Li Yongqiang,Guo Xinghui,Li Jian.Effect of coriolisforce on dynamic frequency of high speed spinning blade[J].Journal of Vibration and shock,2006,25(1):82—84.
[19]徐自力,李辛毅,Park Jong-Po,等.科氏力对高速旋转汽轮机叶片动态特性的影响[J].西安交通大学学报,2003,37(9):16—19.[19]Xu Zili,Li Xiyi,Park Jong-Po,et al.Effect of coriolisacceleration on dynamic characteristics of high speed spin-ning steam turbine blades[J].Journal of Xi’an JiaotongUniversity,2003,37(9):16—19.
[20]陈雨,袁国青.水平轴风力机叶片自振频率计算方法研究[J].玻璃钢/复合材料,2008,3(9):35—38.[20]Chen Yu,Yuan Guoging.Research on methods of calcu-lating natural frequencies of horizontal axis wind turbineblade.Fiber Reinforced Plastics/Composites,2008,3(9):35—38.
[21]陈小波,李静,陈健云.考虑离心刚化效应的旋转风力机叶片动力特性分析[J].地震工程与工程振动,2009,29(1):117—122.[21]Chen Xiaobo,Li Jing,Chen Jianyun.Analysis of dynam-ic characteristics of rotating wind turbine blade with cen-trifugal stiffening effect[J].Journal of Earthguake Engi-neering and Engineering Vibration,2009,29(1):117—122.
[22]刘虎平,廖明夫.风力机叶片设计和颤振分析[EB/OL].http://epub.cnki.net/grid2008/detail.aspx?filename=2005064147.nh&dbname=CMFD2005.2005-06-27.
[23]张锦,刘小平.叶轮机振动模态分析理论及数值方法[M].北京:国防工业出版社,2001.
[2]贺德馨.风工程与工业空气动力学[M].北京:国防工业出版社,2006,185—187.
[3]Miller R H,Dugundji J,Chopra I,et al.Dymanics ofhorizontal axis wind turbines[M].Wind Energy Conver-sion,1978.
[4]陈佐一,魏芳.作用在风力机振荡叶片上的二维非定常气动力[J].空气动力学学报,1987,5(1):11—21.
[5]曹人靖,刘霞,马昊冥.基于压力表示法的水平轴风力机风轮气动弹性稳定性模型及应用[J].太阳能学报,2003,24(2):227—231.[5]Cao Renjing,Liu Xia,Ma Haomin.Aero-elastic stabilitymodel of wind turbine blade based on pressure representa-tion method and its application[J].Acta Energiae SolarisSinica,2003,24(2):227—231.
[6]Rasmussen M H F,Hansen M H,Thomsen K,et al.Present status of aeroelasticity of wind turbines[J].WindEnergy,2003,6(3):213—228.
[7]李仁年,张玉良,胡文瑞.叶片制备与新技术[A].全国风力机空气动力学术会议论文集[C],兰州,2007,84—91.
[8]陈余岳.大型风力机玻璃钢叶片设计[J].玻璃钢/复合材料,1998,(4):17—20.[8]Chen Yuyue.Design of lage GRP wind turbine blades[J].Fiber Reinforced Plastics/Composite,1998,(4):17—20.
[9]杨延洲,李赫.SFD4—1000风力机玻璃钢桨叶的结构与工艺[J].应用科技,1989,(2):8—13.
[10]勒古里雷斯D(著),施鹏飞(译).风力机的理论与设计[M].北京:机械工业出版社,1987.
[11]马振基,林育锋.复合材料在风力发电上的应用发展[J].高科技纤维与应用,2005,30(4):5—8,14.[11]Ma Zhenji,Lin Yufeng.Applications and developments ofcomposite materialsin wind electricity generation[J].Hi-tech Fiber&Application,2005,30(4):5—8,14.
[12]杜朝辉,朱春健.水平轴风力机三维流场实验研究[D].上海:上海交通大学,2005.
[13]侯清玉,包立平.晶体中声子和光子的区别与联系[J].陕西师范大学学报(自然科学版),2004,32(S1):78—80.[13]Hou Qinguyu,Bao Liping.the difference and contact be-tween phnon and rhoton inside crystal[J].Journal ofShaanxi Normal University(Natural Science Edition),2004,32(S1):78—80.
[14]陈媛媛,余金中,严清峰,等.SOI波导弯曲损耗影响因素的分析[J].半导体学报,2005,26(1):216—219.
[15]廖明夫,刘晓燕.风力机叶片的颤振分析[J].风力发电,2004,20(4):18—25.
[16]Biryukov S V,Gulyaev Y V,Krylov W,et a1.Surface a-coustic waves in inhomogenoeus media[M].Berlin Hei-delberg Springer-Verlag,1995.
[17]韩新月,申新贺,陈严,等.科氏力对水平轴风力机叶片的影响[J].能源工程,2008,(3):8—11.[17]Han Xinyue,Shen Xinhe,Chen Yan,et al.The influ-ence of coriolis force on the horizontal axis wind turbineblabe[J].Energy Engineering,2008,(3):8—11.
[18]李永强,郭星辉,李健.科氏力对旋转叶片动频的影响[J].振动与冲击,2006,25(1):82—84.[18]Li Yongqiang,Guo Xinghui,Li Jian.Effect of coriolisforce on dynamic frequency of high speed spinning blade[J].Journal of Vibration and shock,2006,25(1):82—84.
[19]徐自力,李辛毅,Park Jong-Po,等.科氏力对高速旋转汽轮机叶片动态特性的影响[J].西安交通大学学报,2003,37(9):16—19.[19]Xu Zili,Li Xiyi,Park Jong-Po,et al.Effect of coriolisacceleration on dynamic characteristics of high speed spin-ning steam turbine blades[J].Journal of Xi’an JiaotongUniversity,2003,37(9):16—19.
[20]陈雨,袁国青.水平轴风力机叶片自振频率计算方法研究[J].玻璃钢/复合材料,2008,3(9):35—38.[20]Chen Yu,Yuan Guoging.Research on methods of calcu-lating natural frequencies of horizontal axis wind turbineblade.Fiber Reinforced Plastics/Composites,2008,3(9):35—38.
[21]陈小波,李静,陈健云.考虑离心刚化效应的旋转风力机叶片动力特性分析[J].地震工程与工程振动,2009,29(1):117—122.[21]Chen Xiaobo,Li Jing,Chen Jianyun.Analysis of dynam-ic characteristics of rotating wind turbine blade with cen-trifugal stiffening effect[J].Journal of Earthguake Engi-neering and Engineering Vibration,2009,29(1):117—122.
[22]刘虎平,廖明夫.风力机叶片设计和颤振分析[EB/OL].http://epub.cnki.net/grid2008/detail.aspx?filename=2005064147.nh&dbname=CMFD2005.2005-06-27.
[23]张锦,刘小平.叶轮机振动模态分析理论及数值方法[M].北京:国防工业出版社,2001.
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