学术
风力机旋转叶片动力学方程的Neumann级数解法
李德源[1] 叶枝全[2] 黄小华[3]
[1]广东工业大学建设学院,广州510006 [2]汕头大学能源所,汕头515063 [3]广东工业大学实验教学部,广州510006
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1．51MW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。[著者文摘]
文章出处:
《太阳能学报》-2007年28卷3期 -280-285页
分 类 号:
文献标识码:
A
文章编号:
0254-0096（2007）03-0280-06
THE NEUMANN SERIFS SOLUTION OF ROTATING BLADE DYNAMIC EQUATIONS OF HORIZONTAL AXIS WIND TURBINE
Li Deyuan, Ye Zhiquan, Huang Xiaohua（1.Faculty of Construction,Guangdong University of Technology,Guangzhou 510006,China;2.Institute of Energy Science,Shantou University ,Shantou 515063,China; 3.Experiment Teaching Department ,Guangdong University of Technology,Guangzhou 510006,China）
Abstract:
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.[著者文摘]
Key words:
rotating blade; multi-body dynamics; dynamic response; Neumann series
基金资助:
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）
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