WO2017186062A1

WO2017186062A1 - Method for obtaining position of mass centre of unbalanced weight

Info

Publication number: WO2017186062A1
Application number: PCT/CN2017/081453
Authority: WO
Inventors: 郭卫建; 姜芳
Original assignee: 郭卫建; 姜芳
Priority date: 2016-04-29
Filing date: 2017-04-21
Publication date: 2017-11-02
Also published as: CN105953979A

Abstract

Disclosed is a method for determining the position of a mass centre (M) of an unbalanced weight (W). The weight (W) is axisymmetric. A fitting member for the installation of the weight (W) is arranged on a plane of a fixture for installing the weight (W). The weight (W) is installed on the fitting member with the axis (N-N) being parallel to the axis of the fitting member. A first unbalance amount (U11) after the connection between the weight and the fitting member is measured. The weight (W) is rotated relative to the fixture by 180 degrees around the axis (N-N) of the weight (W). A second unbalance amount (U12) between the weight and the fitting member is measured. The measured unbalance amounts (U11, U12) of the weight (W) are adjusted, thereby enabling the magnitude to be equal to the product of the mass (m) of the weight (W) and the distance from a theoretical mass centre (M) to the revolution axis of the fixture, and enabling the direction to point from an intersection between a plane perpendicular to the revolution axis of the fixture and the revolution axis of the fixture to an intersection between the plane and the axis (N-N) of the weight (W). By means of vector operation, the unbalance amount of the mass centre (M) of the weight (W) deviating from the axis (N-N) of the weight (W) is obtained, and the unbalance amount is divided by the mass (m) of the weight (W) to obtain the distance and angle of the mass centre (M) of the weight (W) deviating from its axis (N-N).

Description

Method for obtaining centroid position of unbalanced weight

Technical field

The present invention relates to a method of obtaining a centroid position of an unbalanced amount of weight.

Background technique

To calibrate and check the balancer, an unbalanced weight is required. The unbalanced weights produced in the prior art assume that the material of the weight is homogeneous, and the center of mass is located at the centroid point (theoretical centroid point or geometric center) calculated based on the geometric shape of the weight. However, in fact, the mass distribution of the weight is not necessarily uniform, so the center of mass must be located at the theoretical centroid point calculated based on its shape. If the mass distribution of the weight is not uniform, the centroid position of the weight is unknown. Although the mass of the weight is accurate, the magnitude, direction and plane of the imbalance generated are unknown. For example, for a cylindrical weight, the center of mass may deviate from the axis of symmetry of the weight and the center plane perpendicular to the axis.

Therefore, it is necessary to invent a method to overcome the problems of the prior art, find the accurate centroid position of the weight, and make the imbalance amount generated accurately, so as to realize the traceability of the unbalance amount. In addition, a method needs to be invented to solve the accurate calibration of the balancing machine.

Summary of the invention

In view of the above technical problems, an object of the present invention is to provide a method for obtaining a centroid position of an unbalanced weight, which can find the position of the centroid of the weight relative to the geometric reference, even if the mass distribution of the weight is not uniform, such as a centroid deviation The distance and angle of the center axis of the weight. Further, it is an object of the present invention to obtain a distance from which the center of mass of the weight deviates from the center plane in the axial direction of the weight. The exact position of the centroid of the weight is obtained, and the imbalance generated by the weight is accurately known and traceable.

The technical solution 1 of the present invention provides a method for determining a centroid position of an unbalanced amount of weight, the weight being an axisymmetric structure, which is provided on an end surface of a tool for mounting the weight a fitting for mounting the weight, wherein the weight is mounted on the fitting in such a manner that its axial direction is parallel to the axis of rotation of the tool; measuring the tooling with the weight a first unbalance amount; rotating the weight by 180 degrees with respect to the tool axis about the weight; again measuring a second unbalance amount of the tool with the weight; The unbalanced amount of the code is adjusted such that the size is equal to the product of the mass of the weight and the theoretical centroid of the weight from the axis of rotation of the tool, the direction being from a plane perpendicular to the axis of rotation of the tooling and the tooling An intersection of the axis of rotation, pointing to an intersection of the plane and the axis of the weight; obtaining, by a vector operation, an unbalance amount of the centroid of the weight from the axis of the weight, divided by the mass of the weight, The distance and angle of the code from its axis.

By adopting the above method, the distance and angle of the centroid of the weight from the center axis of the weight can be determined. Get the unbalanced weight of the centroid position.

In the second aspect of the present invention, preferably, the fitting member is a light hole, and the weight is inserted into the light hole.

The light hole is easy to process and the process is simple.

The technical solution 3 of the present invention further provides a method for determining a position of a center of mass of an unbalanced amount of weight, the weight being an axisymmetric structure having two planes perpendicular to an axis of the weight, and along the plane The axis is provided with a fixing member; a fixing portion connected to the fixing member is disposed on an outer circumference of the tooling, wherein the fixing member is connected to the fixing portion, and the tooling with the weight is measured a nominal unbalance amount; the weight is removed from the tooling, and in the case of maintaining the position angle, the axial direction of the weight is changed 180 degrees and then attached to the tooling, and the tape is measured again. Denormalizing the amount of the tooling of the weight; adjusting the unbalance amount of the measured weight to adjust the unbalance amount, the size equal to the mass of the weight and the theoretical centroid of the weight from the rotation axis of the tool a product of a distance from a plane perpendicular to the axis of rotation of the tooling and passing through a plane of the centroid of the weight to the axis of rotation of the tool, pointing in a direction parallel to the axial direction of the weight a vector; obtaining, by a vector operation, an unbalance amount generated by the centroid of the weight due to deviation from the intermediate plane, and dividing by the mass of the weight, obtaining a distance of the weight from the intermediate plane of the weight.

By adopting the above method, the distance from the centroid in the axial direction of the weight can be determined, and the unbalanced weight centroid position can be obtained.

In the fourth aspect of the present invention, preferably, the fixing member is a stud, and the fixing portion is a threaded hole.

The threaded connection facilitates the attachment of the weight to the outer circumference of the tooling.

The technical solution 5 of the present invention further provides a balancing machine calibration method for calibrating the balancing machine with the weight prepared by the above method.

Through the above balancing machine calibration method, an accurate balancing machine can be obtained.

In addition, the technical solution 6 of the present invention provides another method for determining the position of the center of mass of the unbalanced weight code, wherein the balancing machine is calibrated by the method of the fifth aspect; the weight is provided with a fixing member along the axis at one end thereof, in the tooling a fixing portion connected to the fixing member is disposed on the outer circumference, the fixing member is connected to the fixing portion; an unbalance amount of the weight is measured; and a center of mass of the weight is deviated from the weight The imbalance amount generated by the theoretical centroid is the difference between the unbalanced weight of the measured weight minus the weight of the weight at the theoretical centroid point of the weight; the difference is divided by the difference The mass of the weight is such that the centroid of the weight deviates from the theoretical centroid point of the weight.

In this solution, the imbalance amount of the weight is directly measured by the balancing machine, that is, the centroid position of the weight can be obtained by calculation; the centroid position of the weight obtained by the scheme is lower than that of the weight obtained by the schemes 1 to 4. Centroid position, but the method is simple and applicable.

The technical solution 7 of the present invention provides another method for determining the position of the center of mass of the unbalanced amount of weight, wherein the balancing machine is calibrated by the method of the fifth aspect; the weight is connected to the fitting provided on the end surface of the tooling, so that The axis of symmetry of the weight is parallel to the axis of rotation of the tool; the amount of unbalance of the weight is measured; the amount of imbalance of the center of mass of the weight due to deviation from the theoretical centroid of the weight is the measured The imbalance amount of the code minus the difference of the imbalance amount generated by the weight when the centroid of the weight is at the theoretical centroid point; dividing the difference by the mass of the weight to obtain the centroid of the weight The distance and angle from the theoretical centroid point of the weight.

In this solution, the unbalanced amount of the weight is directly measured by the balancing machine, that is, the centroid position of the weight can be obtained by calculation; the centroid position of the weight obtained by the scheme is lower than the scheme. The centroid position of the weight obtained from 1 to 4, but the method is simple and applicable.

The technical solution 8 of the present invention provides a balancing machine calibration method in which a balancing machine is calibrated with a weight made according to the method of claim 6 or 7.

The present invention provides a weight that is produced by using the method of any one of claims 1-4 and 6-7.

In this way, a weight having an accurate centroid offset from the theoretical centroid point of the weight can be obtained.

DRAWINGS

Figure 1 shows the weight, where (a) is the front view of the weight and (b) is the top view of the weight.

Fig. 2 is a schematic view showing the weight of the weight attached to the tooling, wherein (a) is a schematic view showing the weight attached to the outer circumference of the tooling, and (b) is a schematic view showing the weight attached to the end surface of the tooling.

Figure 3 is a schematic view of the weight attached to the tooling. The center of mass of the weight is offset from the central axis of symmetry of the weight, wherein (a) is the main view and (b) is the side view.

4 is an unbalanced quantity vector solution diagram, in which (a) represents the unbalance amount of the weight before adjustment, and (b) represents the unbalance amount of the adjusted weight.

Figure 5 is a schematic view showing the distance and angle of the centroid of the weight from the central axis.

Figure 6 is a schematic view of the weight attached to the outer circumference of the tooling, wherein (a) is the main view and (b) is the side view.

Fig. 7 is a diagram of the unbalance amount vector solution, in which (a) represents the unbalance amount of the weight before adjustment, and (b) represents the unbalance amount of the adjusted weight.

Fig. 8 is a view showing the measurement of the unbalance amount of the weight, wherein (a) is a main view and (b) is a side view.

Figure 9 is a diagram of the unbalanced vector solution.

detailed description

Hereinafter, embodiments of the present invention will be exemplified with reference to the drawings. For ease of explanation, the following steps are basically arranged in the order of implementation, and the order of the following steps is not unique. Further, the following steps are merely illustrative and are not essential as long as the present embodiment can be implemented. The shape of the weight given in the following embodiment is also only an example. This embodiment is not intended to limit the scope of the invention.

In the drawings, when the vector description is involved, for the convenience of explanation, the coordinate system is artificially set, and angles of 0, 90, 180, and 270 are marked.

A. A quality weight (hereinafter referred to as a weight) W as shown in FIG. 1 is produced, and its mass is m. In Fig. 1, the middle portion of the weight W is cylindrical, and has a central axis of symmetry N-N. The axial ends of the weight W are machined with studs, and the central axis of symmetry of the studs is also N-N. Both ends of the cylindrical portion in the middle of the weight W have a plane perpendicular to the central axis of symmetry N-N, which are a first plane P1 (plane) and a second plane P2 (plane), respectively. A plane parallel to the first plane P1 and the second plane P2 and positioned at a position intermediate the two planes is P3. The distance from P3 to the first plane P1 and the second plane P2 is both r2. The intersection of the P3 plane and the weight symmetry axis N-N is C, and the C point is also the geometric center point of the weight (the theoretical centroid point). The distance from the center of mass P3 of the center of mass W of the weight W is r3. On the first plane P1 and the second plane P2 of the weight W, an angle mark is engraved.

When measuring the unbalance amount of the weight W, there are two ways to attach the unbalance amount weight to the tooling (for example, the rotor). One is added to the outer circumference of the tooling, as shown in (a) of Figure 2; the other is attached to the end face of the tooling, as shown in Figure 2 (b).

In (a) of FIG. 2, a screw hole H1 for screwing with a stud thread of the weight W is provided on the outer circumference of the tooling, and in (b) of FIG. 2, a fitting hole is provided on the end surface of the tooling for Thread W threaded hole H2 of the weight W. The stud of the weight W is screwed into the threaded hole, and the journals S1 and S2 of the tool are supported by the balancing machine to measure the unbalance amount of the tool with the weight.

B. The tooling shown in (a) and (b) of Figure 3 is similar to the tooling shown in Figure 2(b). The tool is used to measure the unbalance of the weight W. The difference is that the mounting hole is a light hole instead of a thread. hole. The center line of the light hole H3 is parallel to the axis of the tooling, and the inner diameter is the same as the outer diameter of the studs at both ends of the weight. The distance between the center line of the light hole H3 and the axis of the tool is r5. Light hole H3 can be processed at any angle. For convenience of explanation, in the present embodiment, the light hole H3 is set at the 0 degree position of the tooling. The distance r3 of the weight W in the axial direction whose center of mass M deviates from the intermediate plane P3 of the weight W is unknown, but since the unbalance amount is measured, only the static unbalance amount is measured on one side, so the distance r3 is unknown and does not affect the following weights. The distance and angle of the centroid M from its central axis of symmetry NN.

The tooling of the balancing machine itself has an unbalanced amount. Before measuring the unbalance amount of the weight W, the compensation function of the measuring system of the balancing machine is used to set the unbalance amount of the tooling to zero.

Insert the weight W into the light hole H3 on the tooling shown in Figure 3 with the 0 degree mark up to 12 points (vertically upward), and make one end face of the middle cylinder of the weight contact with the tooling, and measure the weight. The unbalance amount U11 of the tooling of W; the rotating weight rotates the weight about 180 degrees with respect to the first mounting posture about its axis, and then performs the second measurement, and the second time obtains the unbalance amount of the tooling with the weight W U12. The unbalance amounts U11 and U12 are labeled in Cartesian coordinates as shown in (a) of FIG.

In the measurement of the unbalance amount, in order to improve the measurement accuracy, multiple measurements can be made at each step, and the average value of the multiple measurements is recorded as the unbalance amount measurement value.

The vector sum of U11 and U12 is the diagonal of the parallelogram with U11 and U12 as two adjacent sides, and the half of the vector sum of U11 and U12 is half of the diagonal of the parallelogram, which is recorded as U1m, as shown in Fig. 4. As shown in (a). Since U1 and U12 are measured, the symmetry relationship of the weight with respect to the symmetry center line, the half U1m of the vector sum of U11 and U12 should be equal to m×r5, that is, the product of the mass of the weight and the theoretical centroid of the weight from the tool axis. The direction is the intersection of the plane perpendicular to the axis of rotation of the tooling and the axis of rotation of the tool, pointing to the intersection of the plane and the symmetrical centerline of the weight.

The balancing machine is calibrated with an unbalanced weight. From the perspective of metering traceability, the calibration of the balancing machine cannot be determined to be accurate until the center of mass of the weight is determined. Therefore, if the above relationship is not formed, the calibration of the balancing machine is inaccurate, and the U11 and U12 obtained by the measurement are not accurate, and the measured unbalance amounts U11 and U12 need to be adjusted to adjust to the above relationship. That is, the mutual angular relationship and the size ratio between the unbalanced amounts U11, U12, and U1m remain unchanged, and U1m is adjusted to U1mr as described below. The adjusted U11 and U12 are respectively recorded as U11r and U12r, and half of the vector sum of U11r and U12r is recorded as U1mr, which is equal to m × r5, as shown in (b) of FIG.

The unbalance amount Umr generated by the centroid M of the weight W with respect to the central axis of symmetry is the vector difference between the unbalance amount U11r and the unbalance amount U1mr (the magnitude of the vector difference between the U12r and the unbalance amount U1mr is equal to the magnitude of the vector Umr, but the direction is Vector Umr differs by 180 degrees).

Dividing the unbalance amount Umr by the mass m of the weight W, the distance r4 of the centroid M of the weight from the central axis is obtained; the angle of the centroid M from the central symmetry axis NN is the direction of the unbalance amount Umr, which is recorded as the angle β, as shown in FIG. 5. Shown.

C. The distance r3 of the centroid M of the weight W from the intermediate plane P3 can be further obtained as follows.

C1. A weight W is attached to the outer circumference of the tooling shown in Fig. 6. The weight W and the mounting method are the same as those of Fig. 2(a), and the description thereof will be omitted. The outer radius of the tooling is r1. The threaded hole on the outer circumference of the tooling can be machined at any angle. For convenience of explanation, the threaded hole H1 in this embodiment is disposed at the 0 degree position of the tooling.

The tooling of the balancing machine itself has an unbalanced amount. Similarly, before measuring the unbalance amount of the weight, the compensation function of the measuring system of the balancing machine is used to set the unbalance amount of the tooling to zero.

The weight W is screwed into the threaded hole H1 on the outer circumference of the tool through the stud provided at the end thereof, and the first plane P1 is in contact with the outer circle of the tool, and the center of mass M of the weight W is deviated from the central axis of symmetry. The direction of the NN distance r4 is a direction parallel to the rotation axis of the tooling, that is, the rotation axis of the tool, the central axis of symmetry NN of the weight W, and the center of mass M of the weight W are on the same plane. As shown in (a) and (b) of Figure 6. If the two requirements cannot be met at the same time, the requirement that the center of mass M of the weight W deviate from the central axis of symmetry NN by the distance r4 from the axis of rotation of the tool is preferentially ensured, and the distance r1 should take the first plane P1 and the tooling rotation. The distance from the axis (slightly larger than the radius of the tooling).

Put the tool with the weight W on the balance machine, measure the unbalance, and record it as U21; remove the weight W from the tooling, and screw it to the outer circle of the tool with the second plane P2 in contact with the outer circle of the tooling. The angle indication on the end face of the weight W is kept coincident with the position when the unbalance amount U21 is measured. In the same way, in the case that the two requirements cannot be satisfied at the same time, the direction and work of the centroid M of the weight W from the central symmetry axis N-N distance r4 are preferentially guaranteed. The requirement that the axis of rotation of the assembly be parallel is that the distance r1 should take the distance between the second plane P2 and the axis of rotation of the tooling (slightly larger than the radius of the tooling). And the distance between the second plane P2 and the rotation axis of the tool is the same as the distance between the first plane P1 and the rotation axis when the unbalance amount U21 is measured. To achieve this requirement, the studs at both ends of the weight should be made completely symmetrical. The unbalance amount U22 of the tooling with the weight W was measured again, and it was recorded as U22.

The unbalance amounts U21 and U22 are labeled in Cartesian coordinates as shown in (a) of FIG.

Due to the measurement of the unbalanced quantities U21 and U22 vectors, the symmetry relationship of the weight with respect to the intermediate plane P3, the half of the vector sum of U21 and U22, U2m, should be equal to m × (r1 + r2), that is, the mass of the weight The product of the theoretical centroid of the weight from the axis of rotation of the tool, the direction of which is the axis of rotation of the vertical tool and the intersection of the plane of the centroid of the weight and the axis of rotation of the tool, pointing to the centroid of the weight, ie in (b) of Figure 7. 0 degree direction. If the above relationship is not established, the calibration of the balancing machine is inaccurate, and the measured unbalanced amounts U21 and U22 are also inaccurate. It is necessary to adjust the measured imbalance amounts U21 and U22 to adjust to the above relationship. That is, the size ratio between the unbalanced amounts U21, U22, and U2m is kept constant, and U2m is adjusted to U2mr as described below.

The vectors adjusted by the unbalance amounts U21 and U22 are denoted as U21r and U22r, respectively, and as shown in (b) of FIG. 7, U2mr is half of the vector sum of U21r and U22r, that is, equal to m×(r1+r2).

The vector difference between U21r and U2mr is the imbalance of the centroid of the weight from the intermediate symmetry plane P3, which is recorded as Ums (the magnitude of the vector difference between U22r and U2mr is also equal to the magnitude of the vector Ums, but the direction is 180 degrees different from Ums); Then, the distance r3 of the centroid of the weight from the intermediate symmetry plane P3 is Ums/m.

Through the above steps B and C1, the accurate centroid position of the weight W is obtained.

The mass of the weight is in kilograms (kg). When the weight is added to the outer diameter of the tooling, the distance from the center of mass to the axis of rotation of the tool is meters (m), and the angle unit is degrees (convertible to Rad). The magnitude and angle of the unbalance generated by the code W are related to the basic unit of the International System of Units (mass kg and length m) and the SI system auxiliary unit (planar angle radian rad), and the unbalanced amount generated by the weight is traceable. .

The magnitude and direction of the unbalanced quantity obtained by the above measurement are only a relative amount before the adjustment. Therefore, when measuring the above imbalance amount, the other vibration can be used without using the balancing machine. As long as the instrument can measure the size and direction of the signal, and the measuring instrument has a certain degree of repeatability and linearity.

C2. In practical applications, for the weight attached to the outer circumference of the rotor, the distance from the center of mass to the axis of rotation can be neglected, only considering that the center of mass M of the weight deviates from the plane P3. In this case, it is not necessary to perform the above-described operation of step B, and the C1 step may be directly performed, and it is not necessary to require the centroid M of the weight W to deviate from the central symmetry axis N-N by the distance r4 from the direction parallel to the rotation axis of the tool.

Thus, the position of the center of mass M of the weight deviating from the intermediate plane is obtained.

D. In addition, the unbalance amount Umr measured and calculated in the manner of B above may be corrected, and the centroid eccentricity of the weight may be corrected until the value of the unbalance amount Umr of the weight or the distance of the center of mass from the center axis of the weight r4 Less than the set value, or close to zero.

E. Alternatively, the unbalance amount Ums measured and calculated according to the methods in C1 and C2 described above may be corrected, and the distance r3 of the center of mass of the weight deviating from the intermediate plane P3 is corrected until the value of the unbalance amount Ums of the weight or the centroid is deviated. The value of the distance r3 of the code intermediate plane is less than the set value, or close to zero.

F. The centroid accurate weight obtained by the above method can be used to calibrate the balancing machine, so that the balancing machine can measure accurately, and the unbalanced quantity measurement can be traced.

G. After the balancer is accurately calibrated, the unbalanced amount obtained by the weight can be directly measured by the balance machine, and the centroid of the weight can be calculated. Fig. 8 is a view showing the position of the center of mass of the weight attached to the outer circumference of the rotor. The weight of the weight in the figure is m, the structure of the weight is axisymmetric, but there are two cylinders with different diameters in the middle, and the center of mass of the weight is M. Point C is the theoretical centroid point or geometric centroid point of the weight, that is, if the weight is completely homogeneous, the centroid position of the weight, point C is unique and can be calculated.

For convenience of explanation, before the weight of the weight is measured, the compensation function of the measuring system of the balancing machine is used to set the unbalance amount of the tool to zero. The weight is added to the tooling according to the posture shown in Fig. 8. The unbalance amount generated by the weight is U3; when the centroid of the weight is at the theoretical centroid point C, the unbalance amount generated by the weight is U3m, U3m= m × (r1 + r2). The unbalance amount generated by the weight centroid M deviating from the weight point C of the weight theory is U3ms=U3-U3m, as shown in FIG. Then the weight of the weight centroid M deviates from the centroid point C of the weight R3=U3ms/m.

By the above method, the weight is added to the tooling shown in (b) of Fig. 2, that is, the end face of the tooling, and the distance and angle of the center of mass of the weight from the axis of rotation of the weight can be measured and calculated.

In practical applications, after the balancing machine is subjected to the calibration described in step F, the weight of any shape can be attached to the tooling (rotor) as shown in (a) or (b) of FIG. The imbalance amount of the weight of the weight relative to the theoretical centroid point is measured, and the mass of the weight is divided by the mass of the weight, and the distance and angle of the centroid of the weight from the theoretical centroid point are obtained, thereby obtaining the centroid position of the weight.

With the above simple method, the weight of the centroid position can be obtained accurately, although the accuracy is lower than the centroid position of the weight obtained in steps B and C (including the calibration error of the balancing machine), but in the actual balancing process, the accuracy It is sufficient and can be adapted to the acquisition of the centroid position of any shape weight. The method is simple and practical.

H. Calibrate the balancing machine using the weight of the centroid position obtained in step G. Alternatively, the weight of the obtained centroid position is corrected so that the centroid position coincides with its theoretical centroid position (geometric centroid position), and then the balancing machine is calibrated.

The specific embodiments of the present invention have been described above, and the present invention is not limited to the above embodiments. The embodiment of the present invention can be arbitrarily modified in the technical idea of the present invention.

Claims

A method for determining a centroid position of an unbalanced amount of weight, the weight being an axisymmetric structure, and a fitting for mounting the weight is disposed on an end surface of a tool for mounting the weight, wherein

The weight is mounted on the mating member in such a manner that its axial direction is parallel to the tooling rotation axis;

Measuring a first unbalance amount of the tooling with the weight;

Rotating the weight 180 degrees relative to the tooling about an axis of the weight;

Measuring a second unbalance amount of the tooling with the weight again;

Adjusting the unbalanced amount of the measured weight to be equal to the product of the mass of the weight and the theoretical centroid of the weight from the axis of rotation of the tool, the direction being perpendicular to the axis of rotation of the tooling The intersection of the plane and the axis of rotation of the tooling, pointing to the intersection of the plane and the axis of the weight;

Through the vector operation, the unbalance amount of the centroid of the weight deviating from the weight of the weight is obtained, and the distance and angle of the centroid of the weight from the axis are obtained by dividing the mass of the weight.
The method of claim 1 wherein

The fitting is a light hole, and the weight is inserted into the light hole.
A method for determining a centroid position of an unbalanced amount of weight, the weight being an axisymmetric structure having two planes perpendicular to an axis of the weight, and a fixing member disposed along the axis on the plane; A fixing portion connected to the fixing member is disposed on an outer circumference of the tooling, wherein

Connecting the fixing member to the fixing portion, and measuring a nominal unbalance amount of the tooling with the weight;

Removing the weight from the tooling, and maintaining the position angle, 180 degrees of the axial direction of the weight is added to the tooling;

Re-measuring the unbalanced amount of the tooling with the weight;

Adjusting the unbalance amount of the measured weight to adjust the unbalance amount, the size is equal to the mass of the weight and the theoretical centroid of the weight from the rotation axis of the tool a product of a distance from a plane perpendicular to the axis of rotation of the tooling and passing through a plane of the centroid of the weight and the axis of rotation of the tool, pointing in a direction parallel to the axial direction of the weight;

Through the vector operation, the unbalanced amount of the centroid of the weight deviated from the middle symmetry plane of the weight is obtained, and the weight of the weight is obtained, and the distance of the weight from the intermediate plane of the weight is obtained.
The method of claim 3 wherein:

The fixing member is a stud, and the fixing portion is a threaded hole.
A balancing machine calibration method characterized in that the weighting machine is calibrated with a weight made by the method of any one of claims 1-4.
A method for determining a centroid position of an unbalanced amount of weight, characterized in that

Calibrating the balancing machine by the method of claim 5;

The weight is provided with a fixing member along one end of the tool, and a fixing portion connected to the fixing member is disposed on the outer circumference of the tool to connect the fixing member with the fixing portion;

Measuring an unbalance amount of the weight;

The unbalance amount of the centroid of the weight due to deviation from the theoretical centroid point of the weight is the measured imbalance amount of the weight minus the centroid of the weight at the theoretical centroid point The difference in the amount of code imbalance;

Dividing the difference by the mass of the weight results in a distance from the center of mass of the weight that deviates from the theoretical centroid of the weight.
A method for determining a centroid position of an unbalanced amount of weight, characterized in that

Calibrating the balancing machine by the method of claim 5;

The weight is connected to the fitting member provided on the end surface of the tooling, so that the axis of symmetry of the weight is parallel to the axis of rotation of the tooling;

Measuring an unbalance amount of the weight;

The unbalance amount of the centroid of the weight due to deviation from the theoretical centroid point of the weight is the measured imbalance amount of the weight minus the centroid of the weight at the theoretical centroid point The difference in the amount of imbalance generated by the code;

Dividing the difference by the mass of the weight to obtain a deviation from the centroid of the weight The distance and angle of the theoretical centroid of the weight.
A balancing machine calibration method characterized in that a balancing machine is calibrated with a weight made according to the method of claim 6 or 7.
A weight characterized in that it is produced by using the method of any one of claims 1-4, 6-7.