基于汉密尔顿定理的垂直轴风机叶片振动分析  

Vibration analysis of vertical axis wind turbines based on Hamilton's principle

作　　者：崔凯[1] 张建成[1] 张家欧 

机构地区：[1]广西大学土木建筑工程学院,广西南宁530004

出　　处：《广西大学学报（自然科学版）》2017年第4期1606-1615,共10页Journal of Guangxi University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(11672077)

摘　　要：为了研究垂直轴风机叶片的振动特性,这里选择了NACA0015型号机翼为垂直轴风力发电机叶片截面。细长的风机叶片可看作欧拉梁。从汉密尔顿定理出发,推导出叶片弯曲—扭转耦合的振动方程式。通过中央差分法将叶片空间以及振动方程式做离散,在叶片两端为固定支撑的情况下进行求解,研究旋转速度、叶片长度和叶片截面的弦长对自然频率的影响,以及对于叶片实心和空心2种情况进行对比。分析结果表明:叶片长度越长,自然频率越小;叶片的旋转速度越大,自然频率越小;叶片截面的弦长和自然频率近似成正比的关系;叶片在实心和空心2种情况下自然频率的差距非常大。In order to study the dynamic properties of vertical axis wind turbine blades, the NACA 0015 airl＇oil was chosen as the cross-section of the blades. Slender blades can be modeled as Euler beams. Hamilton’s principle w a s employed to derive the equations of bending-twisting coupling of the blades. Vibration m o d e s were solved numerically by the central finite difference approximation. In the case of fixed support,the influence of the rotational velocity,blade length and cross-section chord length on the natural frequencies was studied, as well as the differences in natural frequencies of the hollow and solid blades. T h e results show that the natural frequencies of the blades decrease with the increase of blade length, that natural frequencies decrease with the increase of rotational velocity,which the relationship between cross-section chord length and natural frequencies is approximately direct proportional, and that there is wide difference between natural frequencies of the hollow and solid blades.

关 键 词：垂直轴风机 汉密尔顿定理 固定支撑 实心和空心叶片 自然频率 

分 类 号：TB123[理学—工程力学]