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CN107806961B - Turbine blade internal flaw barycentric coodinates detection method based on ultrasonic phased array technology - Google Patents

Turbine blade internal flaw barycentric coodinates detection method based on ultrasonic phased array technology Download PDF

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CN107806961B
CN107806961B CN201710942190.2A CN201710942190A CN107806961B CN 107806961 B CN107806961 B CN 107806961B CN 201710942190 A CN201710942190 A CN 201710942190A CN 107806961 B CN107806961 B CN 107806961B
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李兵
李应飞
陈磊
高飞
魏翔
高梦秋
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Xian Jiaotong University
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    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
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    • G01M1/12Static balancing; Determining position of centre of gravity
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    • G01N2291/0289Internal structure, e.g. defects, grain size, texture
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
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Abstract

本发明公开了一种基于超声相控阵技术的透平叶片内部缺陷重心坐标检测法,采用超声相控阵探测系统对经过合理分区的叶片进行检测,将检测数据导入计算机图像处理系统,对分区检测的叶片区域进行逐一融合得到缺陷的二维质心坐标;通过叶片的设计基准,利用三坐标机测量叶片叶身与基准边缘的多组数据,拟合出沿叶身宽度方向与基准线方向的函数关系式,按照空间关系推导出缺陷的三维重心坐标,最终完成缺陷的三维重心坐标精密定位检测。可以为技术人员提供叶片缺陷的三维定位方法,更准确、高效。

The invention discloses a method for detecting the barycentric coordinates of internal defects of turbine blades based on ultrasonic phased array technology. An ultrasonic phased array detection system is used to detect blades that have been reasonably partitioned, and the detection data is imported into a computer image processing system to detect the partitions. The detected blade areas are fused one by one to obtain the two-dimensional centroid coordinates of the defect; through the design basis of the blade, the three-coordinate machine is used to measure the multiple sets of data of the blade body and the reference edge, and fit the direction along the width of the blade body and the reference line direction. The functional relationship formula is used to derive the three-dimensional barycentric coordinates of the defect according to the spatial relationship, and finally complete the precise positioning and detection of the three-dimensional barycentric coordinates of the defect. It can provide technicians with a three-dimensional positioning method for blade defects, which is more accurate and efficient.

Description

基于超声相控阵技术的透平叶片内部缺陷重心坐标检测法Detection method of barycentric coordinates of internal defects in turbine blades based on ultrasonic phased array technology

技术领域technical field

本发明属于工业超声无损检测技术领域,具体涉及一种基于超声相控阵技术的透平叶片内部缺陷三维重心坐标精密检测方法。The invention belongs to the technical field of industrial ultrasonic nondestructive testing, in particular to a method for precise detection of three-dimensional barycentric coordinates of internal defects of turbine blades based on ultrasonic phased array technology.

背景技术Background technique

透平叶片是透平机械,如汽轮机、燃气轮机、水轮机中用以引导流体按照一定方向流动,并推动转子旋转的重要部件。以燃气轮机为例,叶片是在燃气轮机上与高温高压高流速的工作介质相互作用并实现能量转换的核心气动零件,其制造通常采用精密铸造成型工艺,且需要在极高的温度和压力下承受巨大的工作载荷。由于叶片无论在制造还是服役阶段,都可能在其内部形成诸如缩孔、疏松、裂纹、夹渣等形式的缺陷,将严重影响燃气轮机整机的工作性能、使用寿命以及运行的安全可靠性。因此,研究透平叶片缺陷的检测技术,对提高我国燃气轮机制造水平、突破发达国家的技术封锁具有重大而深远的战略意义。Turbine blades are important components in turbomachinery, such as steam turbines, gas turbines, and water turbines, that guide the fluid to flow in a certain direction and drive the rotor to rotate. Taking a gas turbine as an example, the blade is the core pneumatic part that interacts with the working medium of high temperature, high pressure and high flow rate and realizes energy conversion on the gas turbine. work load. Defects such as shrinkage cavities, porosity, cracks, slag inclusions, etc. may be formed inside the blades, no matter in the manufacturing or service stage, which will seriously affect the working performance, service life and operation safety and reliability of the gas turbine. Therefore, studying the detection technology of turbine blade defects has great and far-reaching strategic significance for improving the manufacturing level of gas turbines in my country and breaking through the technological blockade of developed countries.

常规的无损检测技术主要有射线检测,超声检测,渗透检测,涡流检测等方式,由于透平叶片的型面是复杂的曲面结构,通常由具有较大密度的镍基高温合金材料精密铸造成形,且叶身厚度从几个毫米到几十毫米不等,常规的渗透检测,涡流检测等方式主要是针对待测对象近表面的缺陷进行检测,一般检测范围为几个毫米,无法有效获取检测对象的内部缺陷;射线检测方法主要采用工业射线对叶片进行透照,借助胶片成像来实现对叶片内部缺陷的检测。该方法具有成像分辨率高、灵敏度高、直观可靠等优点,在工业无损检测领域发挥着重要的作用。但此方法本质上是将叶片沿透照方向在胶片上投影成像,故仅能够清晰显示出缺陷的二维特征信息,对于缺陷在透照方向上的三维特征信息却无法显示,即使是经验丰富的专业技术人员也很难精确估计这一维度上的信息,工作效率较低,重复性较差。工业CT技术通过对待测对象进行大量切片,然后采用图像重构技术重建零件的内部结构,可以直观、准确的反映出零件的内部结构,从而获取精确的三维特征参数,但由于工业CT设备费用高昂、检测费用昂贵、对零件需要进行大量切片,时间利用率较低,不适合用于透平叶片的大批量检测。Conventional non-destructive testing techniques mainly include radiographic testing, ultrasonic testing, penetrant testing, eddy current testing and other methods. Since the profile of the turbine blade is a complex curved structure, it is usually formed by precision casting of nickel-based superalloy materials with relatively high density. And the thickness of the blade body varies from several millimeters to several tens of millimeters. Conventional penetration testing, eddy current testing and other methods are mainly used to detect defects on the near surface of the object to be tested. The general detection range is several millimeters, which cannot effectively obtain the testing object. The ray detection method mainly uses industrial rays to transilluminate the blade, and uses film imaging to detect the internal defects of the blade. This method has the advantages of high imaging resolution, high sensitivity, intuitive and reliable, etc., and plays an important role in the field of industrial non-destructive testing. However, this method essentially projects the blade on the film along the transillumination direction, so it can only clearly display the two-dimensional feature information of the defect, but cannot display the three-dimensional feature information of the defect in the transillumination direction, even if experienced It is also difficult for professional and technical personnel to accurately estimate the information in this dimension, and the work efficiency is low and the repeatability is poor. Industrial CT technology can directly and accurately reflect the internal structure of the part by taking a large number of slices of the object to be measured, and then using image reconstruction technology to reconstruct the internal structure of the part, so as to obtain accurate three-dimensional feature parameters. However, due to the high cost of industrial CT equipment , The inspection cost is expensive, the parts need to be sliced a lot, the time utilization rate is low, and it is not suitable for large-scale inspection of turbine blades.

发明内容SUMMARY OF THE INVENTION

本发明所要解决的技术问题在于针对上述现有技术中的不足,提供一种基于超声相控阵技术的透平叶片内部缺陷重心坐标检测法,针对于实际工程应用中对检测成本、检测效率以及准确度等方面的要求,根据当前叶片内部缺陷定位方式存在的精度不高、可靠性不足、定位模型不完善等多方面的问题。The technical problem to be solved by the present invention is to provide a method for detecting the barycentric coordinates of internal defects of turbine blades based on ultrasonic phased array technology, aiming at the shortcomings of the above-mentioned prior art, aiming at the detection cost, detection efficiency and improvement in practical engineering applications. According to the requirements of accuracy and other aspects, according to the current blade internal defect positioning method, there are many problems such as low precision, insufficient reliability, and imperfect positioning model.

本发明采用以下技术方案:The present invention adopts following technical scheme:

基于超声相控阵技术的透平叶片内部缺陷重心坐标检测法,采用超声相控阵探测系统对经过合理分区的叶片进行检测,将检测数据导入计算机图像处理系统得到缺陷的二维质心坐标;通过叶片的设计基准,利用三坐标机测量叶片叶身与基准边缘的多组数据,拟合出沿叶身宽度方向与基准线方向的函数关系式,按照空间关系推导出缺陷的三维重心坐标,最终完成缺陷的三维重心坐标精密定位检测。Based on ultrasonic phased array technology, the method of detecting the barycentric coordinates of internal defects of turbine blades adopts ultrasonic phased array detection system to detect reasonably partitioned blades, and imports the detection data into computer image processing system to obtain the two-dimensional barycentric coordinates of defects; For the design basis of the blade, the three-coordinate machine is used to measure the multiple sets of data of the blade body and the reference edge, and the functional relationship between the width direction of the blade body and the direction of the reference line is fitted, and the three-dimensional barycentric coordinates of the defect are deduced according to the spatial relationship. Complete the three-dimensional barycentric coordinate precision positioning detection of defects.

进一步的,包括以下步骤:Further, the following steps are included:

S1、根据叶片叶身曲面及厚度分布,对叶片进行分区;S1. Partition the blade according to the blade body surface and thickness distribution;

S2、用超声相控阵探头对叶身进行分区扫查检测,在超声相控阵仪器上面进行A、C、S显示并对检测结果进行数据保存;S2. Use the ultrasonic phased array probe to scan and test the blade body by area, display A, C, and S on the ultrasonic phased array instrument, and save the data of the test results;

S3、在计算机上对叶片各个分区检测结果依次进行融合,重构出叶片的整体图像,通过图像处理技术对融合后的图像进行处理,获取缺陷的二维质心坐标 S3. Fusing the detection results of each partition of the blade on the computer in turn, reconstructing the overall image of the blade, and processing the fused image through image processing technology to obtain the two-dimensional centroid coordinates of the defect

S4、利用三坐标机探测叶身与叶片设计基准相交线的多组数据,拟合出叶身曲面的空间关系式;S4. Use the three-coordinate machine to detect multiple sets of data of the intersection line between the blade body and the blade design reference, and fit the spatial relationship of the blade body surface;

S5、通过叶片的设计基准建立三维坐标系,通过建立空间几何关系得出缺陷的深度坐标z,按照空间关系推导出缺陷的三维重心坐标(x,y,z)。S5, establish a three-dimensional coordinate system through the design basis of the blade, obtain the depth coordinate z of the defect by establishing the spatial geometric relationship, and derive the three-dimensional barycentric coordinate (x, y, z) of the defect according to the spatial relationship.

进一步的,步骤S1中,按照叶片的平均厚度,根据探头扫查方向,将叶片的叶根和叶冠各分成上下两个区域,叶根侧两区域的平均厚度大于叶冠侧两区域的平均厚度,叶冠侧区域根据叶片型面曲率突变进行划分。Further, in step S1, according to the average thickness of the blade and according to the scanning direction of the probe, the blade root and the leaf crown of the blade are divided into upper and lower regions, and the average thickness of the two regions on the root side is greater than the average thickness of the two regions on the crown side. Thickness, the leaf crown side area is divided according to the sudden change of blade profile curvature.

进一步的,步骤S2中,探头为8×8mm的线阵点探头,扫查垂直于接触面,沿叶身方向在各个分区进行逐行扫查,扫查完一个分区后再进行下一个分区的扫查,直至完成叶身所有区域的扫查。Further, in step S2, the probe is a linear array point probe of 8 × 8 mm, the scanning is perpendicular to the contact surface, and scanning is performed line by line in each partition along the direction of the airfoil. After scanning one partition, the next partition is scanned. Scan until all areas of the blade body are scanned.

进一步的,步骤S3中,按照步骤S2中探头检测方案,获取叶片的检测图像,以C显示为主要显示方式,假设检测图像的像素点个数为M×N,则缺陷质心坐标计算如下:Further, in step S3, according to the probe detection scheme in step S2, the detection image of the blade is obtained, and C display is used as the main display mode. Assuming that the number of pixels of the detection image is M×N, then the coordinates of the centroid of the defect are The calculation is as follows:

其中,I(xi,yi)表示计算机读取图像每个像素点的像素值,I表示图像像素点矩阵,i表示图像像素构成的矩阵I的行,j表示图像像素构成的矩阵I的列。Among them, I(x i , y i ) represents the pixel value of each pixel of the image read by the computer, I represents the matrix of image pixels, i represents the row of the matrix I composed of image pixels, and j represents the matrix I composed of image pixels. List.

进一步的,步骤S4中,通过三坐标机采集30~50组叶片型面数据,拟合叶身曲面空间关系式z=f(y1),y1表示叶片的设计基准线。Further, in step S4, 30-50 sets of blade profile data are collected by a three-coordinate machine, and a spatial relational formula z=f(y 1 ) of the blade body surface is fitted, where y 1 represents the design baseline of the blade.

进一步的,步骤S5中,首先建立以缺陷G点表示缺陷的重心,接触点C表示探头中心与叶片表面的接触位置,C'点表示接触点C在xoy平面上投影点的几何关系图。Further, in step S5, firstly, the center of gravity of the defect is represented by the defect G point, the contact point C represents the contact position between the probe center and the blade surface, and the C' point represents the geometric relationship diagram of the projection point of the contact point C on the xoy plane.

进一步的,步骤S5包括以下步骤:Further, step S5 includes the following steps:

S5.1、设CC'=z0,AC'=n,OC'=m,OA=a,OC=c,AC=b,C'是接触点C在平面xoy上的投影,根据CC'⊥平面xoy,则CC'⊥OC',CC'⊥AC',确定边长关系如下:S5.1. Set CC'=z 0 , AC'=n, OC'=m, OA=a, OC=c, AC=b, C' is the projection of the contact point C on the plane xoy, according to CC'⊥ The plane xoy, then CC'⊥OC', CC'⊥AC', determine the side length relationship as follows:

S5.2、根据步骤S3得到的缺陷G点的二维坐标(xG,yG),以及CA⊥OA,则有a2+b2=c2S5.2. According to the two-dimensional coordinates (x G , y G ) of the defect G point obtained in step S3, and CA⊥OA, there is a 2 +b 2 =c 2 ;

S5.3、探头中心与叶片表面接触点C距离平面xoy的距离CC’等于设计基准线y1处的z轴坐标z=f(y1),即z0=f(y1),z0表示探头中心接触点C到点C在平面xoy上的投影点C’的距离,结合超声相控阵成像图,确定缺陷重心位置d;S5.3. The distance CC' between the probe center and the contact point C of the blade surface from the plane xoy is equal to the z-axis coordinate z=f(y 1 ) at the design reference line y 1 , that is, z 0 =f(y 1 ), z 0 Represents the distance from the contact point C of the probe center to the projection point C' of point C on the plane xoy, combined with the ultrasonic phased array imaging image, to determine the center of gravity position d of the defect;

S5.4、根据步骤S5.3求得的z0,结合步骤S5.1和S5.2,得到缺陷重心的z向坐标zGS5.4. According to z 0 obtained in step S5.3, and combining steps S5.1 and S5.2, the z-direction coordinate z G of the center of gravity of the defect is obtained.

进一步的,步骤S5.3中,缺陷重心位置d如下:Further, in step S5.3, the position d of the center of gravity of the defect is as follows:

其中:v表示材料中超声波声速,t表示缺陷处超声传播时间。Among them: v represents the ultrasonic sound speed in the material, and t represents the ultrasonic propagation time at the defect.

进一步的,步骤S5.4中,缺陷重心的z向坐标zG表示如下:Further, in step S5.4, the z-direction coordinate z G of the center of gravity of the defect is expressed as follows:

其中:v表示材料中超声波声速,t表示缺陷处超声传播时间,CC'表示探头中心与叶片表面接触点C距离平面xoy的距离,y1表示基准线,GC表示缺陷点距离探头的距离。Among them: v represents the ultrasonic sound speed in the material, t represents the ultrasonic propagation time at the defect, CC' represents the distance between the center of the probe and the contact point C of the blade surface and the plane xoy, y 1 represents the reference line, and GC represents the distance from the defect point to the probe.

与现有技术相比,本发明至少具有以下有益效果:Compared with the prior art, the present invention at least has the following beneficial effects:

本发明基于超声相控阵技术的透平叶片内部缺陷重心坐标检测法,基于叶片的设计基准建立参考坐标系,利用三坐标机测量叶身与设计基准相交线的多组数据来拟合叶身表面与基准之间的曲面关系式,再通过超声相控阵探头测量叶片内部缺陷,用专用融合软件对检测得到的图像进行区域融合,再通过空间几何关系式获取缺陷三维重心坐标的准确位置,为叶片类零件的精密定位提供了一种基于叶片本身设计基准的定位方法,可以作为企业缺陷定位标准的参考,针对目前工业采用的叶片内部缺陷的二维定位方式,可以为技术人员提供叶片缺陷的三维定位方法,更准确、高效。The invention is based on the ultrasonic phased array technology for the detection method of the barycentric coordinates of the internal defect of the turbine blade, establishes a reference coordinate system based on the design datum of the blade, and uses a three-coordinate machine to measure multiple sets of data of the intersecting line of the blade body and the design datum to fit the blade body The surface relationship between the surface and the benchmark is used to measure the internal defects of the blade through the ultrasonic phased array probe. The detected images are regionally fused with special fusion software, and then the accurate position of the three-dimensional barycentric coordinates of the defect is obtained through the spatial geometric relationship. It provides a positioning method based on the design basis of the blade itself for the precise positioning of blade parts, which can be used as a reference for enterprise defect positioning standards. For the two-dimensional positioning method of blade internal defects currently used in the industry, it can provide technical personnel with blade defects. The three-dimensional positioning method is more accurate and efficient.

进一步的,本方法先根据叶片叶身曲面及厚度分布,对叶片进行合理分区;然后用超声相控阵探头对叶身进行分区检测,并对检测结果进行数据保存;然后在计算机上用专用融合软件TomoView对叶片各个分区检测结果依次进行融合,重构出叶片的整体图像;通过图像处理技术对融合后的图像进行处理,获取缺陷的二维质心坐标;再利用三坐标机探测叶身与叶片设计基准相交线的多组数据,拟合出叶身曲面的空间关系式;最后通过叶片的设计基准建立三维坐标系,按照空间关系推导出缺陷的三维重心坐标(x,y,z),相比于叶片内部缺陷射线检测三维坐标定位人工评片,本方法的精度可以提高1~2个数量级,可以有效而准确定位缺陷三维重心位置。Further, the method firstly divides the blade reasonably according to the curved surface and thickness distribution of the blade body; then uses the ultrasonic phased array probe to carry out the division detection of the blade body, and saves the data of the detection results; and then uses a special fusion on the computer. The software TomoView fuses the detection results of each partition of the blade in turn to reconstruct the overall image of the blade; the fused image is processed by image processing technology to obtain the two-dimensional centroid coordinates of the defect; and the three-coordinate machine is used to detect the blade body and the blade. The multiple sets of data of the intersecting lines of the design datum are used to fit the spatial relationship of the blade body surface; finally, a three-dimensional coordinate system is established through the design datum of the blade, and the three-dimensional barycentric coordinates (x, y, z) of the defect are derived according to the spatial relationship. Compared with the manual evaluation of the three-dimensional coordinate positioning of the internal defects of the blade, the accuracy of this method can be improved by 1 to 2 orders of magnitude, and the three-dimensional center of gravity of the defects can be located effectively and accurately.

进一步的,对叶片进行分区,一方面是为根据叶片自身厚度关系,便于用超声相控阵探头进行检测时厚度参数的设置,提高检测效率;另一方面,叶片自身曲面曲线变化趋势,在区域3和区域4处叶片曲面发生突变,为了获取更准确的探头接触面中心与其在xoy面上的投影点距离CC’,故进行如此分区。Further, the partition of the blade is, on the one hand, to facilitate the setting of the thickness parameters during detection with the ultrasonic phased array probe according to the thickness relationship of the blade itself, and to improve the detection efficiency; In order to obtain a more accurate distance CC' between the center of the probe contact surface and its projection point on the xoy surface, the blade surfaces in region 3 and region 4 have abrupt changes, so such partitioning is performed.

进一步的,根据探头检测方案,获取叶片检测图像,以C显示为主要的显示方式,假设检测图像的像素点个数为M×N,通过计算机编程技术求取缺陷二维质心坐标,根据叶片内部缺陷三维空间检测示意图,及探头检测路径关系,可知求取的二维质心坐标即为内部缺陷重心实际的x,y的坐标值,如此,即把求取缺陷重心坐标转化为求取剩下的重心z坐标。Further, according to the probe detection scheme, the blade detection image is obtained, and the C display is the main display method. Assuming that the number of pixel points of the detection image is M×N, the two-dimensional centroid coordinates of the defect are obtained through computer programming technology, according to the interior of the blade. Schematic diagram of defect three-dimensional space detection, and probe detection path relationship, it can be known that the obtained two-dimensional centroid coordinates are the actual x and y coordinates of the internal defect center of gravity. The barycentric z coordinate.

进一步的,利用三坐标机拟合叶身曲面的空间关系式,目的在于求取叶片表面与设计基准的关系式z=f(y1),这样,探头在叶片表面进行扫查时,利用探头中心的坐标值对应到z=f(y1)中,从而得到CC’的值。三坐标机的检测精度高,为得到准确的检测值作了保证。Further, the three-coordinate machine is used to fit the spatial relational expression of the blade body surface, the purpose is to obtain the relational expression z=f(y 1 ) between the blade surface and the design basis, so that when the probe scans the blade surface, the probe is used to The coordinate value of the center corresponds to z=f(y 1 ), thereby obtaining the value of CC'. The detection accuracy of the three-coordinate machine is high, which ensures the accurate detection value.

进一步的,建立以缺陷G点表示缺陷的重心,接触点C表示探头中心与叶片表面的接触位置,C’点表示接触点在xoy平面上投影点的几何关系示意图目的在于直观地表现缺陷与依据叶片设计基准所建立的三坐标系的空间位置关系,方便推到缺陷重心z坐标的准确关系式。Further, a schematic diagram of the geometric relationship between the contact point and the projection point of the contact point on the xoy plane is established. The purpose is to intuitively express the defect and the basis. The spatial position relationship of the three-coordinate system established by the blade design datum is convenient to push to the accurate relationship of the z-coordinate of the center of gravity of the defect.

进一步的,根据以上几步推到得到缺陷重心的三维重心坐标,由于工业领域叶片类零件内部缺陷的定位一般是利用缺陷的二维质心或者三维重心作为定位标准,如此即实现了叶片内部缺陷的定位,另外,采用以上技术方案,可以获取精度在数μ到数十个数μ的内部缺陷三维重心坐标检测值,在现有基础上提高缺陷三维重心坐标定位精度1-2个数量级,已经远远优于当前采用的缺陷三维重心坐标定位评价机制。Further, according to the above steps, the three-dimensional barycentric coordinates of the center of gravity of the defect are obtained. Since the positioning of the internal defects of the blade parts in the industrial field generally uses the two-dimensional center of gravity or the three-dimensional center of gravity of the defect as the positioning standard, the internal defect of the blade is realized. Positioning, in addition, using the above technical solutions, the detection value of the three-dimensional barycentric coordinates of internal defects with an accuracy of several μ to dozens of μ can be obtained. It is far superior to the currently used three-dimensional barycentric coordinate positioning and evaluation mechanism for defects.

下面通过附图和实施例,对本发明的技术方案做进一步的详细描述。The technical solutions of the present invention will be further described in detail below through the accompanying drawings and embodiments.

附图说明Description of drawings

图1为本发明超声相控阵探测系统连接示意图;Fig. 1 is the connection schematic diagram of ultrasonic phased array detection system of the present invention;

图2为本发明实施流程示意图;Fig. 2 is the implementation flow schematic diagram of the present invention;

图3为叶片的分区检测示意图;Figure 3 is a schematic diagram of the partition detection of the blade;

图4为叶片分区检测结果示意图;Fig. 4 is the schematic diagram of the detection result of leaf partition;

图5为超声相控阵检测空间几何关系示意图。FIG. 5 is a schematic diagram of the spatial geometric relationship of ultrasonic phased array detection.

具体实施方式Detailed ways

本发明提供了一种基于超声相控阵技术的透平叶片内部缺陷重心坐标检测法,检测系统如图1所示。对经过合理分区的叶片进行检测,通过探头的移动,检测到叶片内部缺陷并在超声相控阵仪器上面进行A、C、S等显示,然后保存数据,数据导入计算机图像处理系统,通过TomoView专用融合软件将分区检测的叶片区域进行逐一融合,再用计算机对融合后的叶片图像进行图像处理,从而得到缺陷的二维质心坐标通过叶片的设计基准,用三坐标机测量叶片叶身与基准边缘的多组数据,从而拟合出沿叶身宽度方向与基准线方向的函数关系式,通过建立空间几何关系,从而求得缺陷的深度坐标z,最终完成缺陷的三维重心坐标(x,y,z)精密定位检测。The present invention provides a method for detecting barycentric coordinates of internal defects of turbine blades based on ultrasonic phased array technology, and the detection system is shown in FIG. 1 . The blades that have been reasonably partitioned are detected. Through the movement of the probe, the internal defects of the blades are detected and displayed on the ultrasonic phased array instrument, such as A, C, S, etc., and then the data is saved, and the data is imported into the computer image processing system. The fusion software fuses the leaf regions detected by the partitions one by one, and then uses the computer to process the fused leaf images to obtain the two-dimensional centroid coordinates of the defect. Through the design basis of the blade, use a three-coordinate machine to measure multiple sets of data of the blade body and the reference edge, so as to fit the functional relationship between the width direction of the blade body and the direction of the reference line, and obtain the defects by establishing the spatial geometric relationship. The depth coordinate z, and finally complete the three-dimensional barycentric coordinate (x, y, z) precision positioning detection of the defect.

以燃气轮机G50四级动叶片为例,本方法基于叶片的设计基准建立参考坐标系,利用三坐标机测量叶身与设计基准相交线的多组数据来拟合叶身表面与基准之间的曲面关系式,再通过超声相控阵探头测量叶片内部缺陷,用专用融合软件对检测得到的图像进行区域融合,再通过空间几何关系式获取缺陷三维重心坐标的准确位置。Taking the gas turbine G50 four-stage moving blade as an example, this method establishes a reference coordinate system based on the design datum of the blade, and uses the three-coordinate machine to measure multiple sets of data of the intersection of the blade body and the design datum to fit the curved surface between the blade body surface and the datum. Then use the ultrasonic phased array probe to measure the internal defects of the blade, use special fusion software to perform regional fusion of the detected images, and then obtain the accurate position of the three-dimensional barycentric coordinates of the defect through the spatial geometric relationship.

请参阅图2,本发明一种基于超声相控阵技术的透平叶片内部缺陷重心坐标检测法,包括以下步骤:Please refer to FIG. 2 , a method for detecting barycentric coordinates of internal defects of turbine blades based on ultrasonic phased array technology of the present invention includes the following steps:

S1、根据叶片叶身曲面及厚度分布,对叶片进行合理分区;S1. According to the blade body surface and thickness distribution, reasonably partition the blade;

确定叶片分区方案Determine the leaf zoning scheme

燃气轮机叶片叶身表面是复杂的空间曲线,对G50四级动叶片而言,整体尺寸规格为,而叶身厚度从2~13mm不等,为了便于超声相控阵探头与叶片表面更好贴合,选用了规格为的线阵点探头,型号为5L16-CA00;同时,为方便探头的检测,需要对探头的检测路径进行合理规划,这就需要对叶片进行合理分区,叶片的分区方案如图3所示。The surface of the blade body of the gas turbine blade is a complex spatial curve. For the G50 four-stage moving blade, the overall size specification is 2 to 13 mm, and the thickness of the blade body varies from 2 to 13 mm. In order to facilitate the ultrasonic phased array probe to better fit the blade surface , a line array point probe with a specification of 5L16-CA00 is selected; at the same time, in order to facilitate the detection of the probe, the detection path of the probe needs to be reasonably planned, which requires a reasonable partition of the blade. The partition scheme of the blade is shown in the figure 3 shown.

叶片的1、3区域的平均厚度较2、4区域要大,4区域的划分主要是依托于叶片型面,在3、4区域交汇处,叶片型面曲率发生突变,为了方便后续步骤建立三维坐标系,这里把4区域从该处进行划分;The average thickness of the 1 and 3 regions of the blade is larger than that of the 2 and 4 regions. The division of the 4 region is mainly based on the blade profile. At the intersection of the 3 and 4 regions, the curvature of the blade profile changes abruptly. In order to facilitate the subsequent steps to establish a three-dimensional Coordinate system, here the 4 areas are divided from there;

S2、用超声相控阵探头对叶身进行分区检测,并对检测结果进行数据保存;S2. Use the ultrasonic phased array probe to perform partition detection on the blade body, and save the data of the detection results;

用超声相控阵检测仪对叶片进行检测时,需要设置如叶片材料、超声波声速、检测厚度、显示方式(A/C/S/B)等参数,为了参数设置的方便,减少操作过程,设计点探头的扫查垂直于接触面、沿叶身方向在各个分区进行逐行扫查,扫查完一个分区后再进行下一个分区的扫查,直至完成叶身所有区域的扫查。When using the ultrasonic phased array detector to detect the blade, it is necessary to set parameters such as blade material, ultrasonic sound speed, detection thickness, display mode (A/C/S/B), etc. For the convenience of parameter setting, reduce the operation process, design The scanning of the point probe is perpendicular to the contact surface, and the scanning is performed line by line in each section along the direction of the airfoil. After scanning one section, the scanning of the next section is carried out until the scanning of all areas of the airfoil is completed.

S3、在计算机上用专用融合软件TomoView对叶片各个分区检测结果依次进行融合,重构出叶片的整体图像;通过图像处理技术对融合后的图像进行处理,获取缺陷的二维质心坐标;S3. Use the special fusion software TomoView on the computer to fuse the detection results of each partition of the blade in turn to reconstruct the overall image of the blade; process the fused image through image processing technology to obtain the two-dimensional centroid coordinates of the defect;

按照步骤S2中探头检测方案,获取叶片的检测图像,以C显示为主要的显示方式,如图4所示,是一幅叶片某分区融合后的图像,其中包含两个缺陷。According to the probe detection scheme in step S2, the detection image of the blade is obtained, and the C display is the main display method. As shown in Figure 4, it is a fused image of a certain area of the blade, which contains two defects.

为了求取该两个缺陷的质心坐标,假设该图像的像素点个数为M×N,则有缺陷质心坐标公式:In order to obtain the coordinates of the centroid of the two defects, assuming that the number of pixels in the image is M×N, the formula for the coordinates of the centroid of the defect is:

其中,,I(xi,yi)表示计算机读取图像每个像素点的像素值,I表示图像像素点矩阵,j表示图像像素构成的矩阵I的列,i表示图像像素构成的矩阵I的行,由以上关系式,可以通过计算机读取图像每个像素点的像素值I(xi,yi),并保存数据,再通过编程求取缺陷二维质心坐标 Among them, I(x i , y i ) represents the pixel value of each pixel of the image read by the computer, I represents the image pixel matrix, j represents the column of the matrix I composed of image pixels, and i represents the matrix I composed of image pixels According to the above relationship, the pixel value I(x i , y i ) of each pixel point of the image can be read by the computer, and the data can be saved, and then the two-dimensional centroid coordinates of the defect can be obtained by programming

S4、利用三坐标机探测叶身与叶片设计基准相交线的多组数据,拟合出叶身曲面的空间关系式;S4. Use the three-coordinate machine to detect multiple sets of data of the intersection line between the blade body and the blade design reference, and fit the spatial relationship of the blade body surface;

通过三坐标机采集30~50组叶片型面数据,利用Matlab软件拟合叶身曲面空间关系式z=f(y1),y1轴表示叶片的设计基准线。30-50 sets of blade profile data were collected by a three-coordinate machine, and Matlab software was used to fit the blade body surface space relationship z=f(y 1 ), and the y 1 axis represented the design baseline of the blade.

S5、通过叶片的设计基准建立三维坐标系,按照空间关系推导出缺陷的三维重心坐标(x,y,z)。S5, establish a three-dimensional coordinate system through the design basis of the blade, and derive the three-dimensional barycentric coordinates (x, y, z) of the defect according to the spatial relationship.

燃气轮机叶片型面是复杂的空间曲面,为了更好的说明超声相控阵探头检测模型,建立如图5所示的几何关系图。The gas turbine blade profile is a complex space curved surface. In order to better illustrate the ultrasonic phased array probe detection model, a geometric relationship diagram as shown in Figure 5 is established.

其中,缺陷G点表示缺陷的重心,接触点C表示探头中心与叶片表面的接触位置,C'点表示接触点C在xoy平面上的投影点,设CC'=z0,AC'=n,OC'=m,OA=a,OC=c,AC=b。Among them, the defect G point represents the center of gravity of the defect, the contact point C represents the contact position between the probe center and the blade surface, and the C' point represents the projection point of the contact point C on the xoy plane. Let CC'=z 0 , AC'=n, OC'=m, OA=a, OC=c, AC=b.

S5.1、因为C'是接触点C在平面xoy上的投影,所以有关系式CC'⊥平面xoy,则CC'⊥OC',CC'⊥AC',根据边长关系有:S5.1. Because C' is the projection of the contact point C on the plane xoy, there is a relational formula CC'⊥ plane xoy, then CC'⊥OC', CC'⊥AC', according to the side length relationship:

S5.2、在步骤S3中已经通过图像的像素点关系,实现用计算机读取缺陷图像每个像素点的信息,通过计算机编程求取缺陷的二维质心坐标(x,y),则由缺陷的二维几何信息与图5三维几何示意图,可以得知,缺陷G点的二维坐标(xG,yG)可以通过公式1求得;又因为探头是垂直于叶片表面进行逐行扫查,则满足CA⊥OA,则有:S5.2. In step S3, the pixel relationship of the image has been used to read the information of each pixel of the defect image with a computer, and the two-dimensional centroid coordinates (x, y) of the defect are obtained through computer programming. The two-dimensional geometric information of Fig. 5 and the three-dimensional geometric diagram of Fig. 5, it can be known that the two-dimensional coordinates (x G , y G ) of the defect G point can be obtained by formula 1; and because the probe is perpendicular to the blade surface to scan line by line , then CA⊥OA is satisfied, then:

a2+b2=c2 (3)a 2 +b 2 =c 2 (3)

S5.3、要想求得该坐标系下缺陷在z轴方向的坐标,就必须知道C到C'的距离。已知在步骤S4中用三坐标机实现了叶片设计基准与叶片表面型面的空间关系式z=f(y1),由于探头沿着叶片扫查方向曲率平缓,且探头是8×8mm的线阵点探头,可以认为探头在某个分区进行逐行扫查移动时,探头中心与叶片表面接触点C距离平面xoy的距离CC'等于设计基准线y1处的z轴坐标z=f(y1),即z0=f(y1),z0表示探头中心接触点C到点C在平面xoy上的投影点C’的距离,再结合超声相控阵成像图,可以求得缺陷重心的位置d,根据关系式:S5.3. To obtain the coordinates of the defect in the z-axis direction in this coordinate system, the distance from C to C' must be known. It is known that the spatial relationship between the blade design datum and the blade surface profile z=f(y 1 ) is realized by the three-coordinate machine in step S4. Since the probe has a gentle curvature along the blade scanning direction, and the probe is 8×8mm Line array point probe, it can be considered that when the probe moves line by line in a certain partition, the distance CC' between the probe center and the contact point C of the blade surface from the plane xoy is equal to the z-axis coordinate z = f ( y 1 ), that is, z 0 =f(y 1 ), z 0 represents the distance from the center contact point C of the probe to the projection point C' of point C on the plane xoy, and combined with the ultrasonic phased array imaging image, the defect can be obtained The position d of the center of gravity, according to the relation:

其中:v表示材料中超声波声速,t表示缺陷处超声传播时间。Among them: v represents the ultrasonic sound speed in the material, and t represents the ultrasonic propagation time at the defect.

燃气轮机叶片采用的是镍基高温合金,超声波在该材料中的声速为5770m/s,缺陷处超声传播时间可以通过相控阵测量仪器的A/S显示图中读取数据,一般时间t在10-8~10-9数量级,即测得的CG值小数部分在数μ到数十个μ之间。which is The gas turbine blade is made of nickel-based superalloy. The sound speed of ultrasonic waves in this material is 5770m/s. The ultrasonic propagation time at the defect can be read through the A/S display diagram of the phased array measuring instrument. The general time t is 10 -8 to 10 -9 orders of magnitude, that is, the fractional part of the measured CG value is between several μ and tens of μ.

S5.4、由步骤S5.3求得的z0=f(y1),再结合关系式2和3,有缺陷重心z向坐标zGS5.4, z 0 =f(y 1 ) obtained from step S5.3, combined with relational expressions 2 and 3, the z-direction coordinate z G of the defective center of gravity:

结合步骤S3中缺陷二维质心坐标可得缺陷实际三维重心坐标为采用实验室型号为Global classic SR575的三坐标机,其测量精度-最大允许探测误差MPEP≤1.9μm,即z0=f(y1)小数部分在数个μ的范围,综合考虑zG的精度可以达到数十个μ;Combined with the two-dimensional centroid coordinates of the defect in step S3 The actual three-dimensional barycentric coordinates of the available defects are The laboratory model of the CMM is Global classic SR575, and its measurement accuracy-maximum allowable detection error MPEP≤1.9μm, that is, the fractional part of z 0 =f(y 1 ) is in the range of several μ, and the accuracy of z G is comprehensively considered can reach tens of μ;

另一方面,燃气轮机叶片一般采用精密铸造的方式加工成形,其表面精度一般可以达到2丝(10个μ)。On the other hand, gas turbine blades are generally formed by precision casting, and the surface accuracy can generally reach 2 wires (10 μ).

综合考虑本发明缺陷坐标的测量精度,与叶片精密铸造成形的精度要求已经可以达到同一个数量级,而目前工业常用的叶片射线检测人工胶片评片的精度仅为mm级,本发明在现有基础上可以提高缺陷三维重心坐标定位精度1~2个数量级,已经远远优于目前采用的缺陷三维重心坐标定位评价机制。Taking into account the measurement accuracy of the defect coordinates of the present invention, it can reach the same order of magnitude as the precision requirements of blade precision casting, and the accuracy of the artificial film evaluation of the blade ray detection commonly used in the industry is only mm. It can improve the positioning accuracy of the three-dimensional barycentric coordinates of defects by 1 to 2 orders of magnitude, which is far superior to the currently used evaluation mechanism for the three-dimensional barycentric coordinates of defects.

本发明以燃气轮机G50四级动叶片为例,基于叶片的设计基准建立适用于叶片的三维坐标系,通过超声相控阵检测技术建立叶片内部缺陷三维几何关系示意图,用三坐标机测量叶片表面型面的多组数据,拟合叶片型面曲线关系式z=f(y1),结合超声相控阵C显示通过计算机图像处理技术计算缺陷二维质心坐标,再根据叶片内部缺陷几何关系,推导出缺陷重心的三维坐标实现缺陷的精密定位测量。The invention takes the gas turbine G50 four-stage moving blade as an example, establishes a three-dimensional coordinate system suitable for the blade based on the design basis of the blade, establishes a schematic diagram of the three-dimensional geometric relationship of the internal defect of the blade through the ultrasonic phased array detection technology, and uses a three-coordinate machine to measure the surface type of the blade. Multiple sets of data on the surface of the blade, fit the relationship of the blade profile curve z=f(y 1 ), and combine the ultrasonic phased array C display to calculate the two-dimensional centroid coordinates of the defect through computer image processing technology, and then derive the geometric relationship of the blade internal defect. Three-dimensional coordinates of the center of gravity of the defect Realize precise location measurement of defects.

当前,医学B超检测人体内部生理病变的精度一般只能达到mm级,且由于人体内部生理器官的具体位置各异,一般只能实现对病灶大小的粗略检测,没有实现对病灶的位置定位。优选的,本发明方法也为医学领域的B超检测人体内部生理病变提供病灶精密定位的新思路。本发明不仅能实现更高的检测精度,同时,也能为病灶的定位提供借鉴。At present, the accuracy of medical B-ultrasound detection of physiological lesions in the human body can generally only reach the mm level, and because the specific positions of the internal physiological organs of the human body are different, generally only a rough detection of the size of the lesion can be achieved, and the location of the lesion cannot be located. Preferably, the method of the present invention also provides a new idea of precise localization of lesions for B-ultrasound detection of physiological lesions in the human body in the medical field. The present invention can not only achieve higher detection accuracy, but also provide reference for the location of lesions.

以上内容仅为说明本发明的技术思想,不能以此限定本发明的保护范围,凡是按照本发明提出的技术思想,在技术方案基础上所做的任何改动,均落入本发明权利要求书的保护范围之内。The above content is only to illustrate the technical idea of the present invention, and cannot limit the protection scope of the present invention. Any changes made on the basis of the technical solution according to the technical idea proposed by the present invention all fall within the scope of the claims of the present invention. within the scope of protection.

Claims (7)

1.基于超声相控阵技术的透平叶片内部缺陷重心坐标检测法,其特征在于,采用超声相控阵探测系统对经过合理分区的叶片进行检测,将检测数据导入计算机图像处理系统得到缺陷的二维质心坐标;通过叶片的设计基准,利用三坐标机测量叶片叶身与基准边缘的多组数据,拟合出沿叶身宽度方向与基准线方向的函数关系式,按照空间关系推导出缺陷的三维重心坐标,最终完成缺陷的三维重心坐标精密定位检测,包括以下步骤:1. A method for detecting the barycentric coordinates of internal defects of turbine blades based on ultrasonic phased array technology, which is characterized in that the ultrasonic phased array detection system is used to detect the blades that have been reasonably partitioned, and the detection data is imported into a computer image processing system to obtain the defect's Two-dimensional center of mass coordinates; through the design basis of the blade, use a three-coordinate machine to measure multiple sets of data of the blade body and the reference edge, fit the functional relationship between the width direction of the blade body and the direction of the reference line, and deduce the defects according to the spatial relationship The three-dimensional barycentric coordinates of the defect are finally completed, and the precise positioning and detection of the three-dimensional barycentric coordinates of the defect includes the following steps: S1、根据叶片叶身曲面及厚度分布,对叶片进行分区;S1. Partition the blade according to the blade body surface and thickness distribution; S2、用超声相控阵探头对叶身进行分区扫查检测,在超声相控阵仪器上面进行A、C、S显示并对检测结果进行数据保存;S2. Use the ultrasonic phased array probe to scan and test the blade body by area, display A, C, and S on the ultrasonic phased array instrument, and save the data of the test results; S3、在计算机上对叶片各个分区检测结果依次进行融合,重构出叶片的整体图像,通过图像处理技术对融合后的图像进行处理,获取缺陷的二维质心坐标 S3. Fusing the detection results of each partition of the blade on the computer in turn, reconstructing the overall image of the blade, and processing the fused image through image processing technology to obtain the two-dimensional centroid coordinates of the defect S4、利用三坐标机探测叶身与叶片设计基准相交线的多组数据,拟合出叶身曲面的空间关系式;S4. Use the three-coordinate machine to detect multiple sets of data of the intersection line between the blade body and the blade design reference, and fit the spatial relationship of the blade body surface; S5、通过叶片的设计基准建立三维坐标系,通过建立空间几何关系得出缺陷的深度坐标z,按照空间关系推导出缺陷的三维重心坐标(x,y,z),具体包括以下步骤:S5. Establish a three-dimensional coordinate system based on the design basis of the blade, obtain the depth coordinate z of the defect by establishing the spatial geometric relationship, and derive the three-dimensional barycentric coordinate (x, y, z) of the defect according to the spatial relationship, which specifically includes the following steps: S5.1、设CC'=z0,AC'=n,OC'=m,OA=a,OC=c,AC=b,C'是接触点C在平面xoy上的投影,根据CC'⊥平面xoy,则CC'⊥OC',CC'⊥AC',确定边长关系如下:S5.1. Set CC'=z 0 , AC'=n, OC'=m, OA=a, OC=c, AC=b, C' is the projection of the contact point C on the plane xoy, according to CC'⊥ The plane xoy, then CC'⊥OC', CC'⊥AC', determine the side length relationship as follows: S5.2、根据步骤S3得到的缺陷G点的二维坐标(xG,yG),以及CA⊥OA,则有a2+b2=c2S5.2. According to the two-dimensional coordinates (x G , y G ) of the defect G point obtained in step S3, and CA⊥OA, there is a 2 +b 2 =c 2 ; S5.3、探头中心与叶片表面接触点C距离平面xoy的距离CC'等于设计基准线y1处的z轴坐标z=f(y1),即z0=f(y1),z0表示探头中心接触点C到点C在平面xoy上的投影点C'的距离,结合超声相控阵成像图,确定缺陷重心位置d;S5.3. The distance CC' between the probe center and the contact point C of the blade surface from the plane xoy is equal to the z-axis coordinate z=f(y 1 ) at the design reference line y 1 , that is, z 0 =f(y 1 ), z 0 Represents the distance from the contact point C of the probe center to the projection point C' of point C on the plane xoy, combined with the ultrasonic phased array imaging image, to determine the center of gravity position d of the defect; S5.4、根据步骤S5.3求得的z0,结合步骤S5.1和S5.2,得到缺陷重心的z向坐标zGS5.4. According to z 0 obtained in step S5.3, and combining steps S5.1 and S5.2, the z-direction coordinate z G of the center of gravity of the defect is obtained. 2.根据权利要求1所述的基于超声相控阵技术的透平叶片内部缺陷重心坐标检测法,其特征在于,步骤S1中,按照叶片的平均厚度,根据探头扫查方向,将叶片的叶根和叶冠各分成上下两个区域,叶根侧两区域的平均厚度大于叶冠侧两区域的平均厚度,叶冠侧区域根据叶片型面曲率突变进行划分。2. The method for detecting the barycentric coordinates of internal defects of turbine blades based on ultrasonic phased array technology according to claim 1, wherein in step S1, according to the average thickness of the blades, according to the scanning direction of the probe, the blades of the blades are detected. The root and leaf crown are divided into upper and lower regions. The average thickness of the two regions at the root side is greater than the average thickness of the two regions at the crown side. The leaf crown side region is divided according to the sudden change of blade profile curvature. 3.根据权利要求1所述的基于超声相控阵技术的透平叶片内部缺陷重心坐标检测法,其特征在于,步骤S2中,探头为8×8mm的线阵点探头,扫查垂直于接触面,沿叶身方向在各个分区进行逐行扫查,扫查完一个分区后再进行下一个分区的扫查,直至完成叶身所有区域的扫查。3. The method for detecting barycentric coordinates of internal defects of turbine blades based on ultrasonic phased array technology according to claim 1, wherein in step S2, the probe is a linear array point probe of 8 × 8 mm, and the scanning is perpendicular to the contact Scanning is performed line by line in each partition along the airfoil direction. After scanning one partition, the next partition is scanned until the scanning of all areas of the airfoil is completed. 4.根据权利要求1所述的基于超声相控阵技术的透平叶片内部缺陷重心坐标检测法,其特征在于,步骤S3中,按照步骤S2中探头检测方案,获取叶片的检测图像,以C显示为主要显示方式,假设检测图像的像素点个数为M×N,则缺陷质心坐标计算如下:4. The method for detecting barycentric coordinates of internal defects of turbine blades based on ultrasonic phased array technology according to claim 1, characterized in that, in step S3, according to the probe detection scheme in step S2, a detection image of the blade is obtained, and a detection image of the blade is obtained by C. Display is the main display mode. Assuming that the number of pixels in the detected image is M×N, the coordinates of the centroid of the defect The calculation is as follows: 其中,I(xi,yj)表示计算机读取图像每个像素点的像素值,I表示图像像素点矩阵,i表示图像像素构成的矩阵I的行,j表示图像像素构成的矩阵I的列。Among them, I(x i , y j ) represents the pixel value of each pixel of the image read by the computer, I represents the image pixel matrix, i represents the row of the matrix I formed by the image pixels, and j represents the image pixel formed by the matrix I. List. 5.根据权利要求1所述的基于超声相控阵技术的透平叶片内部缺陷重心坐标检测法,其特征在于,步骤S4中,通过三坐标机采集30~50组叶片型面数据,拟合叶身曲面空间关系式z=f(y1),y1表示叶片的设计基准线。5 . The method for detecting barycentric coordinates of internal defects of turbine blades based on ultrasonic phased array technology according to claim 1 , wherein in step S4 , 30 to 50 sets of blade profile data are collected by a three-coordinate machine, and fitted The airfoil surface space relational formula z=f(y 1 ), y 1 represents the design reference line of the blade. 6.根据权利要求1所述的基于超声相控阵技术的透平叶片内部缺陷重心坐标检测法,其特征在于,步骤S5.3中,缺陷重心位置d如下:6. The method for detecting the center of gravity coordinates of defects in turbine blades based on ultrasonic phased array technology according to claim 1, characterized in that, in step S5.3, the center of gravity position d of the defect is as follows: 其中:v表示材料中超声波声速,t表示缺陷处超声传播时间。Among them: v represents the ultrasonic sound speed in the material, and t represents the ultrasonic propagation time at the defect. 7.根据权利要求1所述的基于超声相控阵技术的透平叶片内部缺陷重心坐标检测法,其特征在于,步骤S5.4中,缺陷重心的z向坐标zG表示如下:7. The method for detecting the center of gravity of a defect in a turbine blade based on ultrasonic phased array technology according to claim 1, wherein in step S5.4, the z-direction coordinate z G of the center of gravity of the defect is represented as follows: 其中:v表示材料中超声波声速,t表示缺陷处超声传播时间,CC'表示探头中心与叶片表面接触点C距离平面xoy的距离,y1表示基准线,GC表示缺陷点距离探头的距离。Among them: v represents the ultrasonic sound speed in the material, t represents the ultrasonic propagation time at the defect, CC' represents the distance between the center of the probe and the contact point C of the blade surface and the plane xoy, y 1 represents the reference line, and GC represents the distance from the defect point to the probe.
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