METHOD FOR CONTROLLING THE CONFORMITY OF THE PROFILE OF A CURVED SURFACE OF A TURBOMACHINE ELEMENT
20200182601 ยท 2020-06-11
Inventors
Cpc classification
G01B21/20
PHYSICS
International classification
G01B11/00
PHYSICS
Abstract
The invention relates to a method for controlling the conformity of a profile of a section of a curved surface of a turbomachine element, comprising the following step: (100) acquiring coordinates of a plurality of measurement points of the section in a frame of reference defined for said section; characterised in that the method comprises the following steps: (200) calculating, based on the coordinates of these measurement points, the radius of curvature of the section at each of these points, in order to obtain a measured evolution curve of the radius of curvature according to the position of the measurement points along said section; (300) comparing the measured evolution curve of the radius of curvature, obtained in the preceding step, with a theoretical evolution curve of the radius of curvature of the predetermined section; (400) evaluating the conformity of the section based on the comparison carried out in the preceding step.
Claims
1. A control method of the conformity of a profile of a section of a curved surface of an element of a turbomachine comprising the following steps: acquiring coordinates of several measurement points of the section in a frame of reference defined for said section; wherein the method comprises the following steps: calculating from the coordinates of these measurement points the radius of curvature of the section at each of these points so as to obtain a measured curve of evolution of the radius of curvature according to the position of the measurement points along said section; comparing the measured curve of evolution of the radius of curvature obtained at the preceding step to a theoretical curve of evolution of the radius of curvature of the section which is predetermined, with the following steps identifying at least one singular point in the measured curve of evolution of the radius of curvature corresponding to a local extremum of said measured curve of evolution; counting the number of identified singular points; measuring parameters of conformity by comparing the singular points to particular points of the theoretical curve of evolution of the radius of curvature, the measured parameters and the particular points of the theoretical curve of evolution depending on the number of singular points counted at the preceding step; evaluating the conformity of the section of the curved surface from the comparison performed at the preceding step by evaluation of the conformity of the section of the curved surface by comparing the parameters to predetermined values.
2. The method according to claim 1, wherein the calculation of the radius of curvature at a measurement point is performed by measuring the radius of a circle passing through said measurement point and the two measurement points which follow said measurement point along the section.
3. The method according to claim 1, wherein the identification step of at least one singular point comprises the following step: discriminating the identified local extrema by retaining as singular point only one extremum whereof the variation in value of the radius of curvature relative to the adjacent extrema is greater than a predetermined threshold.
4. The method according to claim 1, wherein said method comprises the following steps: measuring, when a single singular point is counted, a difference in radius of curvature on the one hand between the singular point and on the other hand a particular point corresponding to the minimum of the radius of curvature of the theoretical curve of evolution of the radius of curvature; evaluating the conformity of the section of the curved surface by comparing the difference in radius of curvature measured at the preceding step to a predetermined tolerance threshold.
5. The method according to claim 1, wherein said method comprises the following step: setting, when only two singular points are counted, the section of the curved surface as non-compliant.
6. The method according to claim 1, wherein said method comprises the following steps: measuring, when only three singular points are counted, a difference in radius of curvature on the one hand between a singular point among said three singular points having the maximum radius of curvature, and on the other hand a particular point corresponding to the point of the theoretical curve of evolution having the same position along the section as the singular point having the maximum radius of curvature; comparing this difference in radius of curvature to a predetermined threshold value; measuring, if the difference in radius of curvature is less than the threshold value, the following parameters: a distance along the section on the one hand between a singular point among the three singular points having the minimum radius of curvature, and on the other hand a particular point having the minimum radius of curvature of the theoretical curve of evolution; an sign of a difference in radius of curvature on the one hand between the singular point having the minimum radius of curvature, and on the other hand the particular point having the minimum radius of curvature; a difference in radius of curvature on the one hand between the singular point having the minimum radius of curvature, and on the other hand a particular point corresponding to the point of the theoretical curve of evolution having the same position along the section as the singular point having the minimum radius of curvature; evaluating the conformity of the section of the curved surface by comparing the distance, the difference in radius of curvature, and the sign of the difference in radius of curvature measured at the preceding step to predetermined tolerance thresholds. measuring, if the difference in radius of curvature is greater than the threshold value, a distance along the section between the two singular points other than the singular point having the maximum radius of curvature; evaluating the conformity of the section of the curved surface by comparing the distance measured at the preceding step, as well as the difference in radius of curvature on the one hand between the singular point having the maximum radius of curvature and on the other hand the particular point of the theoretical curve of evolution having the same position along the surface, to predetermined tolerance thresholds.
7. The method according to claim 1, wherein said method comprises the following steps: detecting inversion of curvature by determining a centre of a circle passing through three measurement points and whether said centre of the circle is located outside the section of the curved surface; setting the section of the curved surface as non-compliant if the centre of the circle is located outside the section of said curved surface.
8. The control method of the conformity of a profile of a leading edge and/or of a trailing edge of a blade of a turbomachine comprising the following step: executing the control method of the conformity of the profile of a section of a curved surface of an element according to claim 1, wherein the element is the blade and said curved surface comprises the leading edge and/or the trailing edge of said blade, said control method being executed on a plurality of sections of said blade distributed along said blade.
Description
DESCRIPTION OF FIGURES
[0048] Other characteristics, aims and advantages of the present invention will emerge from the following detailed description and with respect to the appended drawings given by way of non-limiting examples and in which:
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DESCRIPTION OF ONE OR MORE EXEMPLARY EMBODIMENTS
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[0076] The control method comprises the following steps: [0077] step 100: acquiring coordinates of several measurement points of the section of a leading edge and/or of a trailing edge of the blade 2 in a frame of reference defined for said section; [0078] step 200: calculating from the coordinates of these measurement points P the radius of curvature of the blade 2 at each of these points, so as to obtain a measured curve of evolution Cm of the radius of curvature according to the position of the measurement points P along the section of the leading edge and/or of the trailing edge; [0079] step 300: comparing the measured curve of evolution Cm of the radius of curvature obtained at the calculation step 200 with a theoretical curve of evolution Ct of the radius of curvature of the section of the predetermined blade 2; [0080] step 400: evaluating the conformity of the section of the blade 2 from the comparison made at the comparison step 300.
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[0083] The section of the blade 2 is defined especially by: [0084] a leading edge point 21; [0085] a trailing edge point (not shown in
[0088] The chord is a straight characteristic of the blade 2 which is defined as the straight line which connects the leading edge point 21 to the trailing edge point.
[0089] A frame of reference is defined locally for the section of the blade 2 so that the coordinates of the measurement points P can be measured in this frame of reference specific to this section of the blade 2.
[0090] In the example illustrated in
[0094] Thereafter, so as to control only the zone of the lower surface and of the upper surface of the blade 2 which is near the leading edge point 21, a change of coordinate system is made to recentre the measuring of the coordinates of measurement points P on the leading edge point 21.
[0095] To make this change of coordinate system, a second Cartesian coordinate system is defined, the second Cartesian coordinate system comprising: [0096] a second point of origin of the axes O2 is defined on the lower surface surface of the blade 2, at a distance B from the straight line D1 less than the distance e1 (B being equal to 0.5 mm in the example of
[0099] The portion of the section of the blade 2 which is controlled by the control method is the zone Z of the section of the blade 2 which is therefore located at most as far as the distance B of the leading edge 21 (the distance B being equal to 0.5 mm in the example of
[0100] Sampling is then made on the zone Z of the section of the blade 2 to obtain the different measurement points P: these are for example selected as being the points of intersection with the lower surface curve and the upper surface curve of different parallels to the straight line D1, spaced relative to each other by a given sampling pitch (0.05 mm for example).
[0101] The coordinates of these different measurement points P can be obtained in different ways: mechanical probing, optical measuring, etc.
[0102] The example given in
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[0104] In this way as illustrated in
[0105] For each triplet of measurement points (Pi, Pi+1, Pi+2), for i going from 1 to n2, the circle Ci passing through the three measurement points Pi, Pi+1, and Pi+2 is determined.
[0106] The radius of curvature au point Pi is calculated by measuring the radius Ri of the circle Ci passing through the three points Pi, Pi+1, and Pi+2.
[0107] In this way the radius of curvature of the blade 2 at each of the measurement points P is calculated by shifting the circle Ci along the zone Z.
[0108] Calculation of the radius of curvature of the blade 2 at each of the measurement points P produces a measured curve of evolution Cm of the radius of curvature of the blade 2 on the zone Z, as shown in
[0109] The measured curve of evolution Cm has as ordinate the radius of curvature at each of the measurement points P, and in abscissa the position of the measurement points P along the zone Z following a curvilinear abscissa.
[0110] As illustrated in
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[0117] As seen in
[0118] The control method proposes determining the type of defect which the zone Z of the blade 2 to be measured has so that the relevant parameters for evaluating the conformity of the blade 2 can be measured according to the defect in the profile of the zone Z. In fact, if the defect is minor, the blade 2 can still be compliant since said blade 2 has the aerodynamic characteristics needed for proper operation of the turbomachine.
[0119] To this end and to distinguish the different profiles of measured curve of evolution Cm of the radius of curvature (U, W, or double U), the comparison step 300 has the following step, as illustrated in
[0121] The local extrema among the measurement points P can for example be identified by detection of the measurement points P whereof the derivative of the measured curve of evolution Cm at these points is zero.
[0122] Also, the identification step 310 of the singular points Ps can comprise the following step, as illustrated in
[0124] Such a discrimination step of the extrema does not retain the undulations which the profile of the zone Z of the section of the blade 2 can have as singular point, and retains only as singular point(s) Ps the measurement point(s) P representing veritable maximum and/or minimum in light of the general form of the measured curve of evolution Cm.
[0125] The comparison step 300 also has the following step, as illustrated in
[0127] Such a step determines the type of defect which the profile of the zone Z of the blade Z has, among possible different defects.
[0128] In this way for a U-shaped profile, the measured curve of evolution Cm of the radius of curvature of the zone Z comprises a single minimum forming a single singular point Ps.
[0129] For a W-shaped profile, the measured curve of evolution Cm comprises only two minimums and a maximum, therefore forming only three singular points Ps. Two of the singular points Ps each correspond to the minimum, and the remaining singular point Ps which is located between the two other singular points Ps corresponds to the maximum.
[0130] For a profile shaped as a double U, the measured curve of evolution Cm comprises only two minimums, therefore forming two single singular points Ps, each singular point PS corresponding to a minimum.
[0131] The fact of knowing the number of singular points, and therefore the type of defect presented by the profile of the zone Z of the blade 2, determines which parameters are relevant for measuring by comparing the measured curve of evolution Cm to the theoretical curve of evolution Ct to estimate the importance of the defect.
[0132] In this way as illustrated in
[0134] As illustrated in
[0136] This evaluation step 410 of the conformity of the section of the blade concludes whether the leading edge and/or the trailing edge of the section of the controlled blade 2 presents an appropriate profile relative to the theoretical profile set when the blade 2 was designed.
[0137] The predetermined values depend on the parameters measured during the measuring step 330, as well as of the tolerance given to the profile of the blade 2.
[0138] As illustrated in
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[0149] The difference in radius of curvature Dr is positive if the radius of curvature of the singular point Ps having the minimum radius of curvature is greater than the radius of curvature of the particular point Pp having the minimum radius of curvature of the theoretical curve of evolution Ct.
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[0151] The evaluation step 410 of the conformity of the section of the leading edge and/or of the trailing edge of the blade 2 comprises the following steps: [0152] step 411: evaluating the conformity of the section the blade 2, when a single singular point Ps is counted, by comparing the difference in radius of curvature S1 measured at the step 331 at a predetermined tolerance threshold. The tolerance threshold for the difference in radius of curvature S1 is for example 0.1 mm. [0153] step 413a: evaluating the conformity of the section the blade 2, when only three singular points are counted and that the difference in radius of curvature A3 is less than or equal to the threshold value, by comparing the distance L2, the difference in radius of curvature A2, and the sign of the difference in radius of curvature Dr measured at the step 333c to predetermined tolerance thresholds. The tolerance threshold for the difference in radius of curvature A2 is for example 0.3 mm. The tolerance threshold for the length L2 is for example 0.5 mm. The tolerance threshold for the sign of the difference in radius of curvature Dr is that the difference in radius of curvature Dr is negative (case illustrated in
[0155] The values of the tolerance thresholds can be varied as per the dimensions of the blades to be controlled.
[0156] Also, as evident in
[0157] In fact, the section Z has an excessively large flat spot if only 2 singular points Ps are counted.
[0158] According to a preferred variant illustrated in
[0161] Therefore, in the example illustrated in
[0162] To verify the absence of inversion of curvature on the zone Z of the section of the blade 2, the circle and its centre are shifted along said zone Z by a triplet of measurement points (Pi, Pi+1, Pi+2) by incrementing i.
[0163] According to a possible execution of the method of the conformity of the profile of the section of the blade 2, said section is considered as non-compliant if one of the parameters of conformity measured in step 330 is not compliant with its tolerance threshold, for example by being greater than the maximum value, less than the minimum value, if the length is too great, or if the sign of the difference in radius of curvature is different to the predetermined sign.
[0164] The invention also proposes a control method of the conformity of the profile of the leading edge and/or of the trailing edge of the blade 2 all along said blade 2, or over a portion only.
[0165] To this end, as illustrated in
[0166] According to a possible execution of the method of the conformity of the profile of the leading edge and/or of the trailing edge of the blade 2, said profile is considered as non-compliant if the control method of the conformity of the profile of a section of the blade 2 has concluded the non-conformity of a section of said blade 2. The profile of the leading edge and/or of the trailing edge of the blade 2 is considered as compliant if no profile of a section of the blade 2 has been considered as non-compliant.
[0167] The exemplary embodiments given previously of the control method of the conformity of the profile of a section of a curved surface of an element of a turbomachine are relative to the cases where the element is a turbomachine blade and the curved surface is the leading edge and/or the trailing edge of said blade. However, the control method of the conformity of the profile of the section of the curved surface of the element of the turbomachine can be applied to elements other than a blade or a rectifier (fixed blade) whereof the form adapted to be aerodynamic impacts the performances of the turbomachine.