CN103321853A - Method for restraining wind turbine blade adopting compound damping structure from vibrating - Google Patents
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Abstract
本发明具体为一种利用复合阻尼结构的风力机叶片抑颤方法,解决了大型柔性叶片易发生颤振而缺乏有效的防治方法的问题。利用复合阻尼结构的风力机叶片抑颤方法,具体为在叶片表面设共固化约束阻尼层,在主梁外表面设自由阻尼层;自由阻尼层由单层阻尼材料构成,选用阻尼粘弹材料或阻尼合金或阻尼复合材料;共固化约束阻尼层由复合材料层和阻尼材料层间错布置共固化成型,复合材料层选用玻璃纤维复合材料或碳纤维复合材料或玻璃和碳纤维混搭复合材料,阻尼材料层选用阻尼粘弹材料。本发明与现有技术相比具有普遍适用性、有效抑颤性、经济性、可设计性。
The invention is specifically a method for suppressing flutter of wind turbine blades using a composite damping structure, which solves the problem that large flexible blades are prone to flutter and lack effective prevention and control methods. The vibration suppression method of wind turbine blades using a composite damping structure is specifically to set a co-cured constrained damping layer on the surface of the blade, and set a free damping layer on the outer surface of the main beam; the free damping layer is composed of a single layer of damping material, and the damping viscoelastic material or Damping alloy or damping composite material; the co-cured constrained damping layer is co-cured and formed by the interstitial arrangement of the composite material layer and the damping material layer. Use damping viscoelastic material. Compared with the prior art, the present invention has universal applicability, effective tremor suppression, economy and designability.
Description
技术领域 technical field
本发明涉及风力发电技术领域,具体为一种利用复合阻尼结构的风力机叶片抑颤方法。 The invention relates to the technical field of wind power generation, in particular to a vibration suppression method for wind turbine blades using a composite damping structure. the
背景技术 Background technique
随着环境问题越来越受到人们的重视,清洁能源逐步成为世界能源发展的主流。风能作为一种可再生清洁能源在近几年得到飞速发展,其中MW级风力机已成为风力机的主流机型。为满足风力机大功率输出要求,风力机叶片向着大型化、细长化发展(例如国外某公司生产的单叶片长度已达到55米)。大型细长叶片在气动力、弹性力和惯性力的复杂载荷作用下发生颤振,其主要颤振形式有翼展振动(edgwise vibration)和拍打振动(flapwise vibration)。叶片的颤振不仅减小风轮的功率输出,更重要的是叶片颤振的交变应力会使叶片产生疲劳裂纹甚至断裂;另外颤振叶片与空气作用产生气动噪声,对环境造成噪声污染,影响到风电场附近的居民的生活及其他动物的正常活动。 As environmental issues are getting more and more attention, clean energy has gradually become the mainstream of world energy development. As a renewable clean energy, wind energy has developed rapidly in recent years, and MW-level wind turbines have become the mainstream models of wind turbines. In order to meet the high power output requirements of wind turbines, wind turbine blades are becoming larger and thinner (for example, the length of a single blade produced by a foreign company has reached 55 meters). Large slender blades flutter under complex loads of aerodynamic force, elastic force and inertial force, and the main flutter forms are edgwise vibration and flapwise vibration. The fluttering of the blades not only reduces the power output of the wind rotor, but more importantly, the alternating stress of the fluttering of the blades will cause fatigue cracks or even breakage of the blades; in addition, the fluttering blades interact with the air to generate aerodynamic noise, causing noise pollution to the environment, It affects the lives of residents near the wind farm and the normal activities of other animals. the
针对叶片噪声,现有的解决方法主要有: For blade noise, the existing solutions mainly include:
专利(CN 101619705 B)公开了一种带有仿生型叶顶凸台的水平轴风力机叶片,该叶片可改善叶尖处的流动损失,从而降低风力机叶片与叶尖涡相互干涉的噪声,达到对整个风轮降噪的目的。 The patent (CN 101619705 B) discloses a horizontal axis wind turbine blade with a bionic blade top boss, which can improve the flow loss at the tip of the blade, thereby reducing the noise of the wind turbine blade and the blade tip vortex. The purpose of reducing the noise of the entire wind wheel is achieved.
专利(CN 102003333 A)公开了一种具有降噪功能的风力机叶片,该叶片顶端部分、过渡部分和尾缘部分的轮廓线呈波浪形并设有锯齿段。 The patent (CN 102003333 A) discloses a wind turbine blade with noise reduction function. The contour lines of the tip part, transition part and trailing edge part of the blade are wavy and provided with sawtooth segments. the
专利(CN 102562436 A)公开了一种风力机转子叶片的降噪器,该降噪器含有刚毛、毛族以及多孔层。该降噪器可对不同方向风流情况下的叶片有良好的降噪效果。 The patent (CN 102562436 A) discloses a noise reducer for wind turbine rotor blades, which contains bristles, hair groups and porous layers. The noise reducer can have a good noise reduction effect on the blades under the condition of wind flow in different directions. the
专利(EP 0652367)公开了一种具有不同齿形尾缘的风力机叶片;专利(EP 1314885)公开了一种具有齿形面板的风力机叶片;专利(EP 1338793)公开了一种具有可变齿形尾缘的风力机叶片。 Patent (EP 0652367) discloses a wind turbine blade with different toothed trailing edges; patent (EP 1314885) discloses a wind turbine blade with toothed panels; patent (EP 1338793) discloses a wind turbine blade with variable A wind turbine blade with a toothed trailing edge. the
上述方案均改变了叶尖形状,以不同的齿形轮廓改善叶尖气流形态,从而达到降噪目的。但上述方案中的齿形叶尖加工难度较大,改变了原翼型的气动外形,其整体气动能力有待验证。 The above solutions all change the shape of the blade tip, and improve the shape of the airflow of the blade tip with different tooth profiles, so as to achieve the purpose of noise reduction. However, the tooth-shaped blade tip in the above scheme is difficult to process, which changes the aerodynamic shape of the original airfoil, and its overall aerodynamic capability needs to be verified. the
针对叶片颤振,现有的解决方法主要有: For blade flutter, existing solutions mainly include:
专利(CN 102322391A)公开了一种对风力机叶片振动况进行预测分析的保护方法,根据计算预测叶片的危险时刻,并对危险叶片提前停机,达到对叶片的保护。该法可对叶片进行有效保护,但并没有提高叶片自身抑颤能力,提高叶片的稳定性。 The patent (CN 102322391A) discloses a protection method for predicting and analyzing the vibration of wind turbine blades. According to the calculation, the dangerous moment of the blades is predicted, and the dangerous blades are stopped in advance to achieve the protection of the blades. This method can effectively protect the blade, but it does not improve the ability of the blade itself to suppress vibration and improve the stability of the blade.
专利(CN 2737980Y)和专利(CN 102348892A)分别公开了一种风轮叶片的结构阻尼器,该阻尼器通过粘接等方式附于叶片内壁,可在较宽的工作频率内有效控制叶片振动,但存在阻尼器脱离、增加叶片质量以结构复杂等的缺陷。 Patent (CN 2737980Y) and patent (CN 102348892A) respectively disclose a structural damper for wind turbine blades. The damper is attached to the inner wall of the blade by bonding or other means, and can effectively control the vibration of the blade within a wide operating frequency. However, there are defects such as the detachment of the damper, the increase of the quality of the blade, and the complicated structure. the
综上所述,目前针对大型叶片抑颤的研究主要集中在气动方法和额外阻尼器方法。气动方法主要是利用改变叶片的气动外形,使之具有良好的失速性能,从而达到在高风速区抑颤的目的,但该方法会减小叶片的动力学能力,从而降低风轮的输出功率,且在中低风速区的抑颤效果较差;额外阻尼器方法是利用在叶片上布置额外的阻尼器来实现对叶片颤振抑制,但只在一定频域范围或某一颤振方向起作用,且会使叶片增加额外质量,另外阻尼器易脱落,造成安全隐患。 In summary, the current research on large blade vibration suppression mainly focuses on the aerodynamic method and the additional damper method. The aerodynamic method is mainly to change the aerodynamic shape of the blade to make it have good stall performance, so as to achieve the purpose of suppressing vibration in the high wind speed area, but this method will reduce the dynamic capacity of the blade, thereby reducing the output power of the wind rotor. And the flutter suppression effect is poor in low and medium wind speed areas; the additional damper method is to use additional dampers on the blades to suppress the flutter of the blades, but it only works in a certain frequency range or in a certain flutter direction , and will add extra mass to the blade, and the damper is easy to fall off, causing a safety hazard. the
发明内容 Contents of the invention
本发明为了解决风力机大型柔性叶片易发生颤振而缺乏有效的防治方法的问题,提供了一种利用复合阻尼结构的风力机叶片抑颤方法。 In order to solve the problem that large flexible blades of wind turbines are prone to flutter and lack effective prevention and control methods, the invention provides a method for suppressing flutter of wind turbine blades using a composite damping structure. the
本发明是采用如下技术方案实现的:利用复合阻尼结构的风力机叶片抑颤方法,具体为在叶片表面设共固化约束阻尼层,在主梁外表面设自由阻尼层;自由阻尼层由单层阻尼粘弹材料或单层阻尼合金或单层阻尼复合材料,具体为粘固于主梁外表面,其中自由阻尼层的厚度可由下式计算得出: The present invention is realized by adopting the following technical scheme: a method for suppressing vibration of wind turbine blades using a composite damping structure, specifically setting a co-solidified constrained damping layer on the surface of the blades, and setting a free damping layer on the outer surface of the main beam; the free damping layer consists of a single layer Damping viscoelastic materials or single-layer damping alloys or single-layer damping composite materials are specifically bonded to the outer surface of the main beam, and the thickness of the free damping layer can be calculated by the following formula:
其中为主梁结构损耗因子,为主梁厚度,为阻尼层厚度,为主梁杨氏模量,为阻尼材料杨氏模量,为阻尼材料损耗因子; in Loss factor of the main beam structure, is the main beam thickness, is the damping layer thickness, Young's modulus of the main beam, is the Young's modulus of the damping material, is the loss factor of the damping material;
共固化约束阻尼层由复合材料层和阻尼材料层间错布置(具体为一层复合材料层一层阻尼材料层交错叠加)共固化成型,且最上层和最下层为复合材料层,阻尼材料层至少设一层,复合材料层选用玻璃纤维复合材料或碳纤维复合材料或玻璃和碳纤维混搭复合材料,阻尼材料层选用阻尼粘弹材料;共固化约束阻尼层的厚度可由下列各式联立用迭代法计算得出: The co-cured constrained damping layer is co-cured and formed by the composite material layer and the damping material layer interlaced (specifically, one layer of composite material layer and one layer of damping material layer are stacked alternately), and the uppermost and lowermost layers are composite material layers, and the damping material layer At least one layer is provided, the composite material layer is made of glass fiber composite material or carbon fiber composite material or glass and carbon fiber mixed composite material, and the damping material layer is made of damping viscoelastic material; Calculated:
其中为蒙皮共固化约束阻尼层结构损耗因子,l为复合材料层的厚度,L为共固化约束阻尼层的总厚度,N为阻尼材料层层数,H v 为阻尼材料层厚度;β为阻尼材料层损耗因子;G为阻尼材料的剪切模量;f为叶片所受流体载荷(风载)的激振频率;W为共固化约束阻尼层单位长度的质量;g为重力加速度;A i 为第i层复合材料层的面积;E i 为第i层复合材料层的弹性模量;d i 为第一层复合材料层至第i层复合材料层的距离;I i 为第i层复合材料层对于其中性面的惯性矩,中性面指结构发生弯曲振动时既没有拉力也没有压力的面(中性面指结构发生弯曲振动时既没有拉力也没有压力的面);K i 为第i层的复合材料层的拉伸刚度,(EI) ∞ 为共固化约束阻尼层中性面的弯曲刚度;(EI) 0 为各复合材料层以自身中性面计算弯曲刚度的总和;(EI) r 为共固化约束阻尼层的弯曲刚度实部。Re为取实部,Im为取虚部,为过渡量,i、j、e为计数变量,R为计算算法的中间量。 in is the structural loss factor of the skin co-cured constrained damping layer, l is the thickness of the composite material layer, L is the total thickness of the co-cured constrained damping layer, N is the number of damping material layers, H v is the thickness of the damping material layer; β is the damping Material layer loss factor; G is the shear modulus of the damping material; f is the excitation frequency of the fluid load (wind load) on the blade; W is the mass per unit length of the co-cured constrained damping layer; g is the acceleration of gravity; A i is the area of the i -th composite material layer; E i is the elastic modulus of the i-th composite material layer; d i is the distance from the first composite material layer to the i-th composite material layer; I i is the i-th composite material layer The moment of inertia of the material layer with respect to its neutral plane, the neutral plane refers to the surface that has neither tension nor pressure when the structure undergoes bending vibration (the neutral plane refers to the surface that has neither tension nor pressure when the structure undergoes bending vibration); K i is The tensile stiffness of the composite material layer of the i-th layer, (EI) ∞ is the bending stiffness of the neutral plane of the co-cured constrained damping layer; (EI) 0 is the sum of the bending stiffness calculated by each composite material layer with its own neutral plane; ( EI) r is the real part of the bending stiffness of the co-cured constrained damping layer. Re is to take the real part, Im is to take the imaginary part, is the transition quantity, i, j, e are the counting variables, and R is the intermediate quantity of the calculation algorithm.
本发明所述的在叶片表面设共固化约束阻尼层,在主梁外表面设自由阻尼层具体采用了共固化成型的加工工艺,这是材料成型领域技术人员熟知的。上述确定共固化约束阻尼层和自由阻尼层厚度的方法是在大量实验的基础上建立数学模型,采用合理的计算流程、利用合适的数值仿真得出的,这种方法可以比较准确地描述共固化约束阻尼层和自由阻尼层的厚度与风力机叶片设计过程中其他参数之间的关系。为主梁结构损耗因子、为蒙皮共固化约束阻尼层结构损耗因子,这是设计要求所决定的;上述设计过程中其余各参数为风力机叶片设计过程中的已知参数,如主梁厚度、主梁杨氏模量、阻尼材料杨氏模量、阻尼材料损耗因子等,是本领域技术人员在不同的设计过程中容易得到的。 The co-cured constrained damping layer on the surface of the blade and the free damping layer on the outer surface of the main girder in the present invention specifically adopt the co-curing forming process, which is well known to those skilled in the field of material forming. The above method of determining the thickness of the co-cured constrained damping layer and the free damping layer is based on a large number of experiments to establish a mathematical model, using a reasonable calculation process and using appropriate numerical simulations. This method can describe co-curing more accurately Relationship between the thickness of constrained and free damping layers and other parameters in the wind turbine blade design process. Loss factor of the main beam structure, is the structural loss factor of the skin co-cured constrained damping layer, which is determined by the design requirements; the other parameters in the above design process are known parameters in the design process of the wind turbine blade, such as the thickness of the main girder, the Young's modulus of the main girder , Young's modulus of damping material, loss factor of damping material, etc., are easily obtained by those skilled in the art in different design processes.
本发明的有益效果如下:利用详细的设计和计算为风力机叶片添加了共固化约束阻尼层和自由阻尼层,实现了风力机的抑颤。本发明与现有技术相比具有: The beneficial effects of the invention are as follows: the co-cured constrained damping layer and the free damping layer are added to the blades of the wind turbine through detailed design and calculation, and the vibration suppression of the wind turbine is realized. Compared with the prior art, the present invention has:
1) 普遍适用性。由于本发明主要对叶片内部结构进行相关阻尼处理,并没有对叶片气动外形进行修改,且叶根与风轮轮毂的链接采用传统方式。因此本发明可以适用大多情形的下风力机风轮。 1) Universal Applicability. Because the present invention mainly performs relevant damping treatment on the internal structure of the blade, the aerodynamic shape of the blade is not modified, and the link between the blade root and the hub of the wind wheel adopts a traditional method. Therefore the present invention can be applicable to the lower wind turbine wind wheel of most situations.
2) 有效抑颤性。本发明对叶片蒙皮采用复合材料+阻尼材料+复合材料的共固化约束阻尼层结构,主梁采用自由阻尼层结构,因此复合阻尼结构叶片具有较高的结构损耗因子,可以在较宽的频域内对叶片颤振进行有效抑制,提高风力机风轮的气动稳定性。 2) Effective anti-fibrillation properties. In the present invention, the co-cured constrained damping layer structure of composite material + damping material + composite material is adopted for the blade skin, and the main beam adopts a free damping layer structure, so the composite damping structure blade has a higher structural loss factor and can be used in a wider frequency range. The flutter of the blades can be effectively suppressed in the field, and the aerodynamic stability of the wind turbine rotor can be improved. the
3) 经济性。共固化阻尼和自由阻尼处理不会显著增加叶片生产成本,因此本发明在获得较好抑颤性能同时具有一定的经济性。 3) Economical. Co-solidification damping and free damping treatment will not significantly increase the production cost of the blade, so the present invention has certain economic efficiency while obtaining better vibration suppression performance. the
4) 可设计性。可以根据实际需要对阻尼参数进行设计和优化,获得所需的叶片结构损耗因子,满足设计需要。 4) Designability. The damping parameters can be designed and optimized according to the actual needs to obtain the required loss factor of the blade structure and meet the design needs. the
the
附图说明 Description of drawings
图1为叶片断面结构示意图; Fig. 1 is the schematic diagram of blade section structure;
图2为共固化约束阻尼层结构示意图。 Fig. 2 is a schematic diagram of the structure of the co-cured constrained damping layer.
图中:1-叶片,2-自由阻尼层,3-共固化约束阻尼层,4主梁,5-复合材料层,6-阻尼材料层。 In the figure: 1-blade, 2-free damping layer, 3-co-cured constrained damping layer, 4 main beam, 5-composite material layer, 6-damping material layer. the
具体实施方式 Detailed ways
利用复合阻尼结构的风力机叶片抑颤方法,具体为在叶片1表面设共固化约束阻尼层3,在主梁4外表面设自由阻尼层2;自由阻尼层2由单层阻尼粘弹材料或单层阻尼合金或单层阻尼复合材料,具体为粘固于主梁外表面,其中自由阻尼层的厚度可由下式计算得出: The vibration suppression method of wind turbine blades using a composite damping structure is specifically to set a co-cured constrained damping layer 3 on the surface of the blade 1, and set a free damping layer 2 on the outer surface of the main beam 4; the free damping layer 2 is made of a single-layer damping viscoelastic material or Single-layer damping alloy or single-layer damping composite material is specifically bonded to the outer surface of the main beam, and the thickness of the free damping layer can be calculated by the following formula:
其中为主梁结构构损耗因子,为主梁厚度,为阻尼层厚度,为主梁杨氏模量,为阻尼材料杨氏模量,为阻尼材料损耗因子; in Structural loss factor of the main beam structure, is the main beam thickness, is the damping layer thickness, Young's modulus of the main beam, is the Young's modulus of the damping material, is the loss factor of the damping material;
共固化约束阻尼层3由复合材料层和阻尼材料层间错布置共固化成型,且最上层和最下层为复合材料层,阻尼材料层至少设一层,复合材料层选用玻璃纤维复合材料或碳纤维复合材料或玻璃和碳纤维混搭复合材料,阻尼材料层选用阻尼粘弹材料;共固化约束阻尼层3的厚度可由下列各式联立用迭代法计算得出: The co-cured constrained damping layer 3 is co-cured and formed by the interstitial arrangement of the composite material layer and the damping material layer, and the uppermost layer and the lowermost layer are composite material layers, and at least one damping material layer is provided, and the composite material layer is made of glass fiber composite material or carbon fiber Composite materials or glass and carbon fiber mixed and matched composite materials, the damping material layer is made of damping viscoelastic material; the thickness of the co-cured constrained damping layer 3 can be calculated by the following formulas simultaneously and iteratively:
其中为蒙皮共固化约束阻尼层结构损耗因子,l为复合材料层厚度,L为共固化结构总厚度,N为阻尼材料层层数,H v 为阻尼材料层厚度;β为阻尼材料层损耗因子;G为阻尼材料的剪切模量; f 为叶片所受流体载荷(风载)的激振频率;W为共固化约束阻尼层单位长度的质量;g为重力加速度;A i 为第i层复合材料层的面积;E i 为第i层复合材料层的弹性模量;d i 为第一层复合材料层至第i层复合材料层的距离;I i 为第i层复合材料层对于其中性面的惯性矩,中性面指结构发生弯曲振动时既没有拉力也没有压力的面;K i 为第i层的复合材料层的拉伸刚度,(EI) ∞ 为共固化约束阻尼层中性面的弯曲刚度;(EI) 0 为各复合材料层以自身中性面计算弯曲刚度的总和;(EI) r 为共固化约束阻尼层的弯曲刚度实部。 in is the loss factor of the skin co-cured constrained damping layer structure, l is the thickness of the composite material layer, L is the total thickness of the co-cured structure , N is the number of damping material layers, Hv is the thickness of the damping material layer; β is the loss factor of the damping material layer ; G is the shear modulus of the damping material; f is the excitation frequency of the fluid load (wind load) on the blade; W is the mass per unit length of the co-cured constrained damping layer; g is the acceleration of gravity; A i is the i-th layer The area of the composite material layer; E i is the modulus of elasticity of the i-th composite material layer; d i is the distance from the first composite material layer to the i-th composite material layer; I i is the i-th composite material layer for which The moment of inertia of the neutral plane, the neutral plane refers to the surface where there is neither tension nor pressure when the structure undergoes bending vibration; K i is the tensile stiffness of the i-th composite material layer, (EI) ∞ is the The bending stiffness of the neutral plane; (EI) 0 is the sum of the bending stiffness of each composite material layer based on its own neutral plane; (EI) r is the real part of the bending stiffness of the co-cured constrained damping layer.
具体实施过程中,在主梁4外表面和自由阻尼层2之间设扩变层,扩变层选用内部为球形空泡结构的硬泡沫塑料,或者选用由金属或高分子材料制成的内部蜂窝状结构的材料。 In the specific implementation process, an expansion layer is set between the outer surface of the main beam 4 and the free damping layer 2, and the expansion layer is made of hard foam plastic with a spherical cavity structure inside, or an inner layer made of metal or polymer material. Honeycomb structure material. the
实施例1 Example 1
以某2 500 kW风力机为实施例。该风力机主要应用于海上风电场,其设计功率为2.5 MW,采用三叶片形式,叶蒙皮片材料为GRP,工字钢主梁,行星齿轮增速,双回路异步电动机,空气冷却;其主要设计参数如表1。 Take a certain 2 500 kW wind turbine as an example. The wind turbine is mainly used in offshore wind farms. Its design power is 2.5 MW. It adopts three-blade form. The material of the leaf skin is GRP. The main design parameters are shown in Table 1.
表1主要设计参数
(1)翼型选择 (1) airfoil selection
根据设计要求,全叶片选择NACA 6413翼型,该翼型具有较大的升阻比和良好的失速性能。 According to the design requirements, the NACA 6413 airfoil is selected for all blades, which has a large lift-to-drag ratio and good stall performance.
(2)阻尼结构 (2) Damping structure
采用复合材料、阻尼材料、复合材料的共固化约束阻尼层结构;主梁选用工字钢梁,并做自由阻尼层处理,即将阻尼材料用环氧树脂粘贴在主梁腹板上。阻尼材料均选择环氧树脂粘弹性材料(SMRD 100 F50),其损耗因子β= 0.89,且可以长时间承受120℃的温度,满足大型风力机叶片的工况要求。 Composite materials, damping materials, and co-cured constrained damping layer structure of composite materials are used; I-beam steel beams are used for the main beam, and the free damping layer is treated, that is, the damping material is pasted on the web of the main beam with epoxy resin. The damping material is epoxy viscoelastic material (SMRD 100 F50), its loss factor β = 0.89, and can withstand the temperature of 120°C for a long time, which meets the working condition requirements of large wind turbine blades.
(3) 抑颤特性分析 (3) Analysis of anti-fibrillation characteristics
在Matlab/Simulink环境对该风力机叶片进行建模。共固化约束阻尼层性能参数为:E11 = 42.6GPa,E12 = 16.5 GPa,G12 = 5.5 GPa,ν 12 = 0.22,ρ= 1 950 kg/m-3。阻尼材料性能参数为:β= 0.89,G = 3.43×106 N/m,E=1.14×106 N/m,忽略阻尼材料的温频效应。基于ONERA非线性气动模型对普通叶片和阻尼叶片在启动风速V 1 = 4 m/s、额定风速V 2 = 15 m/s、停机风速V 3 = 25 m/s和安全风速V 4 = 45 m/s四种风速下进行数值仿真对比。仿真过程普通叶片的结构阻尼忽略不计。表2为各工况下普通叶片和阻尼叶片的性能对比。 The wind turbine blade is modeled in Matlab/Simulink environment. The performance parameters of the co-cured constrained damping layer are: E 11 = 42.6GPa, E 12 = 16.5 GPa, G 12 = 5.5 GPa, ν 12 = 0.22, ρ = 1 950 kg/m -3 . The performance parameters of the damping material are: β = 0.89, G = 3.43×10 6 N/m, E=1.14×10 6 N/m, and the temperature-frequency effect of the damping material is ignored. Based on the ONERA nonlinear aerodynamic model, normal blades and damping blades are tested at starting wind speed V 1 = 4 m/s, rated wind speed V 2 = 15 m/s, shutdown wind speed V 3 = 25 m/s and safe wind speed V 4 = 45 m /s four kinds of wind speed for numerical simulation comparison. The structural damping of ordinary blades is neglected during the simulation process. Table 2 shows the performance comparison of ordinary blades and damping blades under various working conditions.
表2对比数据 Table 2 Comparative data
由仿真数据及式(23)计算出四种风速下阻尼叶片的结构损耗因子分别为η 1 = 0.617、η 2 = 0.579、η 3 = 0.523和η 4 = 0.439。由表2可见,在四种风速下,阻尼叶片比普通叶片摆振位移标准差分别减小了51.1%、48.1%、43.6%、37.1%,摆振速度标准差分别减小了51.1%、47.9%、43.7%、37.1%;挥舞位移标准差分别减小了37.9%、34.8%、30.8%、25.2%,挥舞速度标准差分别减小了37.9%、35.0%、30.8%、25.0%。 Based on the simulation data and formula (23), the structural loss factors of the damping blades at four wind speeds are calculated as η 1 = 0.617, η 2 = 0.579, η 3 = 0.523 and η 4 = 0.439. It can be seen from Table 2 that under the four wind speeds, the standard deviation of the shimmy displacement of the damped blade is reduced by 51.1%, 48.1%, 43.6%, and 37.1%, respectively, and the standard deviation of the shimmy velocity is reduced by 51.1%, 47.9% compared with the normal blade. %, 43.7%, 37.1%; the standard deviation of waving displacement decreased by 37.9%, 34.8%, 30.8%, and 25.2%, respectively, and the standard deviation of waving speed decreased by 37.9%, 35.0%, 30.8%, and 25.0%, respectively.
综上所述,阻尼叶片通过阻尼材料的内摩擦将部分颤振能转化为热能耗散掉,对叶片拍打颤振、展向颤振和扭转颤振能够进行有效抑制,显著提高叶片自身抑颤能力,充分发挥柔性叶片的优势。 To sum up, the damping blade converts part of the flutter energy into heat energy and dissipates it through the internal friction of the damping material, which can effectively suppress the flapping flutter, spanwise flutter, and torsional flutter of the blade, and significantly improve the blade's own flutter suppression. Ability to give full play to the advantages of flexible blades. the
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