期刊文献+

风力机旋转叶片动力学方程的Neumann级数解法 被引量:7

THE NEUMANN SERIES SOLUTION OF ROTATING BLADE DYNAMIC EQUATIONS OF HORIZONTAL AXIS WIND TURBINE
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摘要 运用现代柔性多体动力学方法,研究了水平轴风力机柔性叶片空间旋转运动与其弹性变形间的相互耦合关系及其所导致的动力学效应;导出了旋转叶片的有限元动力学方程及其数值求解方法;对大型风力机叶片在机械和气动载荷作用下的弯曲变形进行了动态模拟。由于该有限元动力学方程为时变方程,文中应用Neumann级数和Newmark直接积分方法求解动力方程,编制了相应的计算机程序;以1.5MW风力机叶片为例,计算了风力机在启动、刹车和正常运转时的叶片弯曲挠度响应,并与常规有限元数值分析结果进行了比较。结果表明,该方法能有效地求解该类时变方程并准确地反映旋转叶片的动力学特性和动力学响应,本文工作为进一步进行叶片强度和气动弹性稳定性分析打下了基础。 Based on the modem flexible multi-body dynamics theory frame, the coupling relationship between the space rotating movement of HAWT flexible blade and its elastic distortion and the resulting dynamics effect were studied. The finite element dynamic equations of the rotating blade and corresponding numerical resolving method were developed. The bending distortion of large-scale wind turbine flexible blade under the action of aerodynamic loads and mechanical loads was dynamic simulated. Because of time-change characteristics of these finite element dynamics equations, the Neumaun series and Newmark straight integral method were introduced to solve the dynamical equations in this paper and the corresponding FEM program was developed to carry through the numerical analysis. As an example, the bending flexibility response in startup, brake and normal operation state of a 1.5MW wind turbine blade were figured out and compared with those calculated by conventional finite element analysis method. The results show that this method can effectively solve this sort of time-change equation and can more accurately express the dynamic characteristics and dynamic response of a rotating blade. This work lays a foundation for making progress with blade intensity analysis and blade aeroelastic stability analysis ulteriorly.
出处 《太阳能学报》 EI CAS CSCD 北大核心 2007年第3期280-285,共6页 Acta Energiae Solaris Sinica
基金 国家高技术研究发展计划(863)(2001AA512023-02) 广东省自然科学基金博士启动基金(04300745) 广东工业大学科学研究项目资助 国家自然科学基金(50676022)
关键词 旋转叶片 多体动力学 动力响应 Neumann级数 rotating blade multi-body dynamics dynamic response Neumann series
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参考文献9

  • 1Paluch B,Berlu P.A computer-aided approach of loads prediction for HAWT based on flexible multibody dynamics[A].Proc of 1999 EWEC[C],Nice,France,March 1999,270-273.
  • 2Lee D,Hodges D H,Patil M J.Multi-flexible-body dynamic analysis of horizontal axis wind turbines[J].Wind Energy,2002,5:281-300.
  • 3Hodges D H,Patil M J.Multi-flexible-body analysis for application to wind turbine control design[A].Proceedings of the ASME Wind Energy Symposium[C],Reno,Nevada,January 2000,Paper 2000-0030,110-120.
  • 4Molenaar D P,Kijistra S.Modeling the structural dynamics of flexible wind turbines[A].Proc of 1999 EWEC[C],Nice,France,March 1999,234-237.
  • 5Molenaar D P.Modeling the structural dynamics of the Lagerwey LW-50/750 turbine[R].Report N-522,Delft Univ of Tech,1998.
  • 6李德源,叶枝全,陈严.风力机旋转叶片的多体动力学数值分析[J].太阳能学报,2005,26(4):473-481. 被引量:30
  • 7Kane T R,Ryan R 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邹建奇,陆佑方,那景新.转动Timoshenko梁的动力学方程及频率分析[J].应用力学学报,1996,13(4):117-121. 被引量:7
  • 9Li Deyuan,Ye Zhiquan,Chen Yan,et al.Load spectrum and fatigue life analysis of the blade of the horizontal axis wind turbine[J].Wind Engineering,2003,27(6):495-506.

二级参考文献13

  • 1邹建奇,陆佑方,那景新.转动Timoshenko梁的动力学方程及频率分析[J].应用力学学报,1996,13(4):117-121. 被引量:7
  • 2冯冠民,多体系统动力学.理论、计算方法和应用,1992年
  • 3克拉夫 R W,结构力学,1983年
  • 4陆佑方,一般力学(动力学、振动与控制)最新进展
  • 5Paluch B, Berlu P. A computer-aided approach of loads prediction for HAWT based on flexible multibody dynamics [A]. Proc of 1999 EWEC[C]. Nice, France, March 1999, 270- 273.
  • 6Lee D, HodgesDH, PatilMJ. Multi-flexible-bodydynamic analysis of horizontal axis wind turbines [ J ]. Wind Energy 2002, (5) :281-300.
  • 7Hodges D H, Patil M J. Multi-flexible-body analysis for application to wind turbine control design[ J ]. AIAA Paper 2000-0030, 2000.
  • 8Molenaar D P, Kijistra S. Modeling the structural dynamics of flexible wind turbines[ A ]. Proc of 1999 EWEC[ C ].Nice, France, March 1999, 234-237.
  • 9Molenaar D P. Modeling the structural dynamics of the Lagerwey LW-50/750 turbine [ R ]. Report N-522, Delft Univ of Tech, 1998.
  • 10Kane T R, Ryan R 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.

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