环形桁架结构模态实验及有限元仿真分析

针对大型可展开环形桁架天线结构开展了模态实验和有限元仿真分析。首先设计加工了环形桁架实验模型,采用锤击法对自由边界条件下环形桁架结构进行了实验模态分析,得到环形桁架结构的前六阶固有频率及其对应模态振型,并通过模态置信准则对实验结果进行了可靠性分析。其次,建立了环形桁架实验模型的有限元模型并进行模态分析,仿真得到其前六阶固有频率和模态振型。最后详细对比分析了实验结果与有限元仿真结果。结果表明:二者固有频率误差小于5%,且实验模态振型与有限元仿真模态振型一致,证明了本文分析结果真实可靠;同时,分析得到了环形桁架结构第一、二阶振型为椭圆形,第三、四阶振型为三角形,第五、六阶振型为四边形。     

A MODAL TESTING METHOD FOR CANTILEVER BEAM1)

基于欧拉-伯努利梁理论得到悬臂梁自由振动的振型函数。通过数值计算得出实验用的悬臂梁前五阶振型的节点位置及其与梁长的比值。考虑传感器对悬臂梁固有频率的影响,建立梁-传感器模型进行仿真分析并得出悬臂梁前五阶固有频率。基于节点位置和测点位置,在实验中选择激励点。将具体实验的结果与梁-传感器仿真模型结果进行对比,通过前五阶固有频率的误差分析,发现仿真分析结果与实验结果误差最高为 1.3%。研究完整地叙述了悬臂梁的模态测试流程,可为工程技术人员的模态测试起一定的指导作用。     

一种悬臂梁模态测试方法

基于欧拉–伯努利梁理论得到悬臂梁自由振动的振型函数。通过数值计算得出实验用的悬臂梁前五阶振型的节点位置及其与梁长的比值。考虑传感器对悬臂梁固有频率的影响,建立梁–传感器模型进行仿真分析并得出悬臂梁前五阶固有频率。基于节点位置和测点位置,在实验中选择激励点。将具体实验的结果与梁–传感器仿真模型结果进行对比,通过前五阶固有频率的误差分析,发现仿真分析结果与实验结果误差最高为1.3%。研究完整地叙述了悬臂梁的模态测试流程,可为工程技术人员的模态测试起一定的指导作用。     

基于结构动力学的框架结构固有频率估算方法

对框架结构的一阶固有频率与单门框的一阶固有频率的关系进行了推导,找出一种通过部件模态参数估算整体系统的模态参数的方法．通过ANSYS有限元分析对该估算方法进行了验证,并在石油钻机井架底座的有限元模态分析中应用该方法对系统固有频率进行了估计,误差均不超过1％．结论表明,该方法对于框架串联结构的固有频率估算是方便且可行的．     

光学遥感卫星控制力矩陀螺隔振装置模态错位设计

针对整星结构频率和控制力矩陀螺(Control Moment Gyroscope,简称CMG)扰振频率分布密集易引起隔振装置共振的问题,本文通过引入高斯函数对残差项进行修正以改进响应面法,建立了CMG隔振装置近似数学模型;并采用多目标遗传优化算法,对隔振装置的前六阶固有频率进行了错位优化,实现了隔振装置固有频率分布避开整星结构频率和CMG扰振频率的设计目标。通过模态试验,验证了频率分布的准确性。试验结果表明:隔振装置的前六阶固有频率与整星结构频率和CMG扰振频率呈现错位分布,从而为CMG隔振系统频率设计和优化提供了理论支持和工程指导。     

六面体柔性桁架多体结构的模态测试实验研究

采用半正弦冲击波形，通过内力激振的方法对六面体空间柔性格架结构进行了模态实验研究，得到了系统的前四阶固有频率和模态振型。比较实验结果与理论计算结果，二者能够很好的吻合，验证了理论计算方法的正确性。实验结果表明采用内力激振的方法能够有效的激起结构的固有频率，所得的振动参数可为下一步空间柔性格架振动主动控制提供直接依据。     

基于应变梯度中厚板单元的石墨烯振动研究

基于应变梯度理论建立了单层石墨烯等效明德林(Mindlin) 板动力学方程,推导了四边简支明德林中厚板自由振动固有频率的解析解. 提出了一种考虑应变梯度的4 节点36 自由度明德林板单元,利用虚功原理建立了单层石墨烯的等效非局部板有限元模型. 通过对石墨烯振动问题的研究,验证了应变梯度有限元计算结果的收敛性. 运用该有限元法研究了尺寸、振动模态阶数以及非局部参数对石墨烯振动特性的影响. 研究表明,这种单元能够较好地适用于研究考虑复杂边界条件石墨烯的尺度效应问题. 基于应变梯度理论的明德林板所获得石墨烯的固有频率小于基于经典明德林板理论得到的结果. 尺寸较小、模态阶数较高的石墨烯振动尺度效应更加明显. 无论采用应变梯度理论还是经典弹性本构关系,考虑一阶剪切变形的明德林板模型预测的固有频率低于基尔霍夫(Kirchho) 板所预测的固有频率.      

应变模态在含裂纹悬臂板裂纹检测中的应用

基于作者提出的含穿透裂纹板的有限元模型,研究了裂纹存在时悬臂板固有频率随裂纹位置的变化规律;探讨了它与应变模态之间的关系.对悬臂板应变模态的实测结果表明,以应变代替位移或加速度作为观测量对裂纹变化是比较敏感的,并说明了一阶应变模态在悬臂板裂纹检测中的应用.     

基于Schmitz理论的风叶气动设计研究

应用Schmitz理论进行叶片气动设计,考虑了风力机叶片的气动损失,用Schmitz理论推导出风力机叶片的基本设计参数的计算公式,并考虑了风力机在启动和空载时风力机的实际工作点偏离了设计点,对叶片的气动性能参数进行了修正。通过对200kW风力机的算例表明:随着叶片半径的增大,入流角逐渐减小;叶片弦长先增大后减小,修正后得到的风力机在非设计点处的推力、驱动力矩、功率与实际风力机的特性规律相符。     

一类单塔斜拉桥固有频率及模态的计算与分析

采用连续体系统动力学分析方法对一类平面单塔斜拉桥的固有频率及模态进行了计算与分析。桥面两端简支,并由一个刚性的塔和两根斜拉索支撑。将桥面简化成梁的模型,建立了各斜拉索及各梁段的动力学偏微分方程、斜拉桥的边界条件及子结构间的几何与力学相容条件。推导了斜拉桥线性化、无阻尼系统的频率方程。考虑斜拉桥左右对称及参数(斜拉索长度、初始垂度)微小变动导致对称性破缺的情况,数值求解不同参数下斜拉桥的固有频率及对应的模态。结果表明:斜拉桥第3阶和第4阶固有频率相差不到0.1%,具有密集固有频率的现象;斜拉桥对称性破缺前后第3阶和第4阶固有频率随参数变化的曲线具有频率曲线偏转现象,第3阶和第4阶模态间存在模态跃迁现象。该研究结果可在斜拉桥设计和建造过程中起参考作用。     

A Vibration Estimation Method for Wind Turbine Blades

This paper reports the development of a vibration monitoring system for wind turbine blades. This system is used to estimate the deflection at the tip blade on a wind turbine tower. Technical accidents of wind turbine blades have become increasingly common. Thus, regular monitoring of the blades is very important to prevent breakdowns, especially in cases when the blades begin to vibrate excessively. The monitoring system developed in this study satisfies two main objectives for practicality. First, our system is easy to install on existing wind turbines. Second, blade deflection is measured in real time. Our system can be operated using a few strain gages attached at the blade root, and the deflection is calculated based on the monitored stress. Thus, direct measurement of deflection at the blade tip is unnecessary. An estimation algorithm for this purpose is adopted based on the experimental modal analysis. This paper focuses on the evaluation of the estimation algorithm to investigate the feasibility of our system. Basic experiments were conducted using a simple blade model of a 300 W scaled wind turbine under rotation. Signals from the strain gages were acquired by a sensor network and sent to a computer through a wireless connection. The results show that the estimation accuracy is acceptably high. Therefore, we conclude that our proposed system is practical.     

风速不确定性对风力机气动力影响量化研究

风力机气动力学一直是国内外研究的热点课题之一.目前相关研究大都是基于确定性工况条件, 但因风力机常年工作在自然来流复杂环境,风速随机波动致使风电系统呈现不确定性, 对电网稳定性带来巨大挑战,因此进行不确定风速条件下风力机气动力学研究具有重要意义.为揭示不确定性对风力机流场影响机理并明确其对气动力的影响程度,本文提出一种风力机不确定空气动力学分析方法,基于修正叶素动量理论和非嵌入式概率配置点法,建立水平轴风力机不确定性空气动力学响应模型; 以NREL Phase VI S809风力机叶轮为研究对象, 基于该模型提取风力机输出随机响应信息,量化不确定风速对风力机风轮功率、推力、叶片挥舞弯矩和摆振弯矩的影响程度;通过分析流动诱导因子不确定性在叶片展长方向上的分布规律,揭示不确定因素在风力机本体上的传播机制,为风电系统设计及应用提供理论依据和重要参考. 结果表明,风速波动对风力机功率和气动力影响显著,高斯风速标准差由0.05倍增大至0.15倍均值,功率和推力最大波动幅度分别由13.44%和8.00%增大至35.11%和22.02%,叶片挥舞弯矩和摆振弯矩最大波动幅度分别由7.20%和12.84%增大至19.90%和33.49%.来流风速不确定性导致叶片根部位置气流明显波动,可以考虑在该部分采取流动控制措施降低叶片对风速不确定性的敏感程度.      

Damage detection method in complicated beams with varying flexural stiffness

A damage detection method for complicated beam-like structures is proposed based on the subsection strain energy method (SSEM), and its applicability condition is introduced. For a beam with the continuously varying flexural stiffness and an edge crack, the SSEM is used to detect the crack location effectively by numerical modal shapes. As a complicated beam, the glass fiber-reinforced composite model of a wind turbine blade is studied based on an experimental modal analysis. The SSEM is used to calculate the damage index from the measured modal parameters and locate the damage position in the blade model successfully. The results indicate that the SSEM based on the modal shapes can be used to detect the damages in complicated beams or beam-like structures for engineering applications.     

Application of bamboo laminates in large-scale wind turbine blade design

From the viewpoint of material and structure in the design of bamboo blades of large-scale wind turbine, a series of mechanical property tests of bamboo laminates as the major enhancement materials for blades are presented. The basic mechanical characteristics needed in the design of bamboo blades are briefly introduced. Based on these data, the aerodynamic-structural integrated design of a 1.5 MW wind turbine bamboo blade relying on a conventional platform of upwind, variable speed, variable pitch, and doubly-fed generator is carried out. The process of the structural layer design of bamboo blades is documented in detail. The structural strength and fatigue life of the designed wind turbine blades are certified. The technical issues raised from the design are discussed. Key problems and direction of the future study are also summarized.     

Aeroelastic analysis of a rotating wind turbine blade using a geometrically exact formulation

In this paper, an aeroelastic analysis of a rotating wind turbine blade is performed by considering the effects of geometrical nonlinearities associated with large deflection of the blade produced during wind turbine operation. This source of nonlinearity has become more important in the dynamic analysis of flexible blades used in more recent multi-megawatt wind turbines. The structural modeling, involving the coupled edgewise, flapwise and torsional DOFs, has been performed by using a nonlinear geometrically exact beam formulation. The aerodynamic model is presented based on the strip theory, by applying the principles of quasi-steady and unsteady airfoil aerodynamics. Compared to the conventional steady aerodynamic model, the presented model offers a more realistic consideration of fluid–structure interactions. The resulting governing equation, expanded up to the third-order terms, is analyzed by using the reduced-order model (ROM). The ROM is developed by employing the coupled mode shapes of a cantilever blade under free loading condition. The specifications of the 5MW-NREL wind turbine are used in the simulation study. After verifying the ROM results by comparing them with those of the full FEM model, the model is used in additional static, modal and transient dynamics analyses. The results indicate the important effect of geometrical nonlinearity, especially for larger structural deformations. Moreover, nonlinear analyses reveal the important effects of torsion induced by lateral deformations. It is also found that the governing equation is more efficient, and sufficiently accurate, when it is developed by using the second-order kinetic terms, third-order potential terms and the second-order aerodynamic terms together with third-order damping. Finally, the effects of nonlinearities on the flutter characteristics of wind turbine blades are evaluated through frequency and dynamic analyses.     

基于CFD技术的垂直轴风力机动态尾流特性研究

利用CFD软件对麦克马斯特大学垂直轴风力机进行不同叶尖速比下的数值模拟,计算结果与风洞试验数据吻合良好。近场尾流中,与单叶片的风力机模拟结果比较,上游叶片产生并向下游延伸的旋涡影响下游运行轨道上叶片的升阻力特性,不仅使叶片扭矩输出峰值降低,而且峰值产生的时间延迟。对垂直轴风力机叶片叶梢进行修改,模拟结果显示,叶片扭矩输出峰值不变,但是谷值有所降低,修改后风力机沿风向推力幅值降低明显;远场尾流中,采用风速轮廓线原理,以瑞典的法尔肯贝里市200kW垂直轴风力机为原型,按照真实的空间排布进行数值模拟。模拟结果显示,上游风力机上下两端处产生较为集中的远场尾流,影响下游风力机叶片下半段的气动性能,下游风力机功率输出降低明显。     

Supercritical and subcritical dynamic flow-induced instabilities of a small-scale wind turbine blade placed in uniform flow

There is a growing interest in extracting more power per turbine by increasing the rotor size in offshore wind turbines. As a result, the turbine blades will become longer and therefore more flexible, and a flexible blade is susceptible to flow-induced instabilities. In order to design and build stable large wind turbine blades, the onset of possible flow-induced instabilities should be considered in the design process. Currently, there is a lack of experimental work on flow-induced instabilities of wind turbine blades. In the present study, a series of experiments were conducted and flow-induced instabilities were observed in wind turbine blades. A small-scale flexible blade based on the NREL 5 MW reference wind turbine blade was built using three-dimensional printing technique. The blade was placed in the test section of a wind tunnel and was subjected to uniform oncoming flow, representing the case of a parked wind turbine blade. The blade׳s tip displacement was measured using a non-contacting displacement measurement device as the oncoming wind speed was increased. At a critical wind speed, the blade became unstable and experienced limit cycle oscillations. The amplitude of these oscillations increased with increasing wind speed. Both supercritical and subcritical dynamic instabilities were observed. The instabilities were observed at different angles of attack and for blades both with and without a geometric twist. It was found that the blade twist had a significant influence on the observed instability: a blade without a twist experienced a strong subcritical instability.     

一种风力机气动计算的全自由涡尾迹模型

采用全自由方式建立风力机尾流场的涡尾迹模型,引入“虚拟周期”的概念,并发展一种自适应松弛因子方法,从而改善了自由尾迹迭代的稳定性,提高了迭代收敛速度。利用建立的自由涡尾迹模型,计算了风力机叶片的尾流场结构、气动性能及叶片载荷,并与实验结果进行了对比分析。结果表明,尖速比越大,自适应松弛因子方法对缩小模型计算时间越有效;全自由涡尾迹模型能准确给出风力机尾流场的结构,包括尾迹的扩张以及叶尖涡和叶根涡的产生、发展和耗散的过程,风轮扭矩与实验数据吻合;叶片载荷分布的计算结果在低风速下与实验值基本一致,但是在大风速下差别较大,说明需要一个准确的失速模型。     

漂浮运动对风力机气动特性的影响分析

海上浮式风机为蕴藏丰富的深海风能开发提供了有效的解决方案,浮式基础存在的大幅度纵荡、纵摇和艏摇运动可以改变风轮与流场间的相互作用,从而影响风力机的气动特性。基于叶素-动量理论及其修正方法,以NREL 5MW风力机为研究对象,考虑浮式基础运动对叶片不同径向位置处相对入流风速的影响,提出了风载荷的计算模型,通过编程计算获得了叶轮转矩和风力机功率,并比较了不同运动形式对风力机功率波动的影响。结果表明,纵摇对其功率特性影响最大,这为海上浮式风机的优化设计提供理论依据与数据基础。