风力机塔架和叶片随机响应及极值反应分析
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摘要
通过随机振动理论研究了风力机的随机响应及其基准期内反应极值的求解方法。风振反应被分解为均匀风振响应和脉动风振响应两部分进行分析,采用虚拟激励法(PEM)计算了风力机叶片和塔架在脉动风作用下的随机抖振反应,从而计算了随机抖振反应极值的数学期望;根据风剪效应计算了极值均匀风所引起的风振反应。结果分析表明,在频域内计算抖振反应的极值有效避免了在时域内采取多条风速时程样本求取极值的复杂过程,方法更为精确;同时通过采用PEM方法,自动考虑模态耦合影响,且理论上是精确的算法。
The random response of wind turbine and the calculation metliod of extreme wind-induced response in design period were studied by random vibration theory.The wind-induced response was decomposed into a mean wind-induced response component and a fluctuating wind-induced response component.The random buffeting wind-induced responses of blade and tower were calculated by pseudo excitation method(PEM),and accordingly the mathematical expectation of extreme random buffeting responses can be obtained.The extreme mean wind-induced response calculated by wind shear effect.The results show that the extreme buffeting wind-induced responses calculated in frequency domain can effectively avoid complex process that the extreme responses are calculated by multi-samples of wind velocity time series in time domain, and the method is more accurate.Based on the PEM,the modal coupling effect can be included automatically, and it is an accurate algorithm in theory.
The random response of wind turbine and the calculation metliod of extreme wind-induced response in design period were studied by random vibration theory.The wind-induced response was decomposed into a mean wind-induced response component and a fluctuating wind-induced response component.The random buffeting wind-induced responses of blade and tower were calculated by pseudo excitation method(PEM),and accordingly the mathematical expectation of extreme random buffeting responses can be obtained.The extreme mean wind-induced response calculated by wind shear effect.The results show that the extreme buffeting wind-induced responses calculated in frequency domain can effectively avoid complex process that the extreme responses are calculated by multi-samples of wind velocity time series in time domain, and the method is more accurate.Based on the PEM,the modal coupling effect can be included automatically, and it is an accurate algorithm in theory.
引文
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[2]Maheri Alireza,Noroozi Siamak,Vinney John.Decoupled aerodynamic and structural design of wind turbine adaptive blades[J].Renewable Energy,2007,32(10):1753- 1767.
[3]Wu J R,Liu P F,Li Q S.Effects of amplitude-dependent damping and time constant on wind-induced responses of super tall building[J].Computers & Structures,2007,85(15- 16):1165-1176.
[4]Hosseini S A A,Khadem S E.Vibration and reliability of a rotating beam with random properties under random excitation [J].International Journal of Mechanical Sciences,2007,49 (12):1377-1388.
[5]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004,1-37.
[6]林家浩.随机地震响应的确定性算法[J].地震工程与工程振动,1985,5(1):89-94.
[7]林家浩,刘高,王秀伟.大跨悬索桥三维非平稳耦合抖振分析[J].计算力学学报,2004,21(2):143- 149.
[8]孙东科,林家浩,张亚辉,等.复杂结构的风激随机振动分析[J].机械工程学报,2001,37(3):55-61.
[9]晏致涛.大跨度中承式拱桥风致振动研究[D].重庆:重庆大学,2006.
[10]孙东科.长跨桥梁三维风振分析[D].大连:大连理工大学,1999.
[11]李春林.高耸结构风振响应分析研究[D].广州:广州大学,2007.
[12]林家浩,刘高,王秀伟.基于首次超越破坏机制的大跨斜拉桥抖振动力可靠性分析[J].应用力学学报, 2004,21(3):53-58.
[13]陈贤川.大跨度屋盖结构风致响应和等效风荷载的理论研究及应用[D].杭州:浙江大学,2005.
[14]Clough R(著),王光远,等(译).结构动力学[M].北京:高等教育出版社,2006,135-139.
[15]Dyrbye Claes,Hansen Svend O(著),薛素铎,李雄彦(译).结构风荷载作用[M].北京:中国建筑工业出版社,2006,52-56.
[16]Shinozuka M,Jan C M.Digital simulation of random process and its application[J].Journal of Sound and Vibration, 1972,25(1):111-128.
[17]刘高,林家浩,王秀伟.考虑全桥耦合的大跨斜拉桥抖振内力分析[J].大连理工大学学报,2003,43 (4):479-483.
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