CN105806361B - Eliminate the laser alignment method of the installation error of laser alignment system - Google Patents
Eliminate the laser alignment method of the installation error of laser alignment system Download PDFInfo
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Abstract
The present invention provides a kind of laser alignment method of installation error for eliminating laser alignment system, the transmitter of laser alignment system and receiver are separately mounted on the driving shaft and driven shaft of mechanical equipment, and the laser alignment method includes: to establish the measured value of angle deviator and actual value, the mathematical model of the measured value of flat deviator and actual value and obtain relationship；In transmitter and the vertically-mounted initial position of receiver, the angle deviator peace deviator between driven shaft and driving shaft is obtained by measurement；Transmitter and receiver are surrounded into driving shaft and driven shaft rotation three times respectively, and the angle deviator peace deviator between driven shaft corresponding with the predetermined angular of rotation and driving shaft is obtained by measurement respectively；The measured value of obtained angle deviator and flat deviator is updated in mathematical relationship, the actual value of angle of departure deviator and flat deviator is parsed；Driving shaft and driven shaft are adjusted according to the angle deviator and the actual value of flat deviator that are parsed, to realize accurate shaft assignment.
Description
Technical Field
The invention belongs to the field of test and measurement, relates to a laser centering method, and particularly relates to a laser centering method for eliminating installation errors of a laser centering system.
Background
Shaft drive is an important way of mechanical drive. One key issue with shaft drives is achieving shaft alignment (i.e., shaft axis alignment) between the driving and driven shafts. Statistically, more than 50% of machine failures are due to misalignment of the transmission couplings. The good centering of the mechanical shafting plays an important role in preventing the premature failure of the bearing, the fatigue of the rotating shaft, the sealing damage and the vibration. In addition, good shaft centering may also reduce overheating and additional energy consumption. Therefore, whether the mechanical shafting is centered or not has a crucial influence on the normal operation of the equipment.
Disclosure of Invention
In order to overcome the defects of the prior art, the invention provides a laser centering method for eliminating the installation error of a laser centering system. The laser centering method can eliminate the error introduced by the laser centering system, thereby effectively reducing the measurement error and improving the measurement precision of the laser centering system.
According to an exemplary embodiment of the present invention, there is provided a laser centering method for eliminating an installation error of a laser centering system, in which a transmitter and a receiver of the laser centering system are respectively installed on a driving shaft and a driven shaft of a mechanical transmission device, and the receiver receives a laser beam emitted from the transmitter, the laser centering method including the steps of: (a) establishing a mathematical model of a measured value and an actual value of an angular deviation between the driving shaft and the driven shaft and a measured value and an actual value of a plane deviation between the driving shaft and the driven shaft, and obtaining a corresponding mathematical relational expression; (b) measuring and calculating the measured values of the angular offset and the offset between the driven shaft and the driving shaft at the initial positions where the transmitter and the receiver are installed; (c) rotating the transmitter and the receiver around the driving shaft and the driven shaft three times respectively, and obtaining the measured values of the angular deviation and the plane deviation between the driven shaft and the driving shaft corresponding to the preset angle rotated each time through measurement respectively; (d) substituting the measured values of the angular deviation and the plane deviation obtained in the step (b) and the step (c) and the preset angle into the mathematical relation, and solving actual values of the angular deviation and the plane deviation; (e) and adjusting the driven shaft according to the solved actual values of the angular deviation and the plane deviation, so that accurate shaft centering of the driving shaft and the driven shaft is realized.
According to the laser centering method of the exemplary embodiment of the present invention, at the initial position, the mathematical relationship is the following equation:
α′＝θ1-θ2-α·cosφ
where α 'represents a measured value of the angular deviation, L' represents a measured value of the yaw, α represents an actual value of the angular deviation, L represents an actual value of the yaw, and θ1Representing the pitch angle, theta, of the transmitter2Represents the pitch angle of the receiver, phi represents the included angle between the projection of the axial lead of the driving shaft on the end surface of the driven shaft and the Y axis of the initial coordinate system O-XYZ of the driven shaft,angle between actual value representing amount of plane deviation and said Y axis,/bRepresenting the horizontal distance between transmitter and receiver,/hThe height difference between the distance from the receiver to the axis of the driven shaft and the distance from the transmitter to the axis of the driving shaft is shown,
the method comprises the steps of establishing an initial coordinate system O-XYZ and an initial coordinate system O-XYZ based on a driving shaft and a driven shaft respectively, wherein the axis of the driving shaft is a Z axis, the X axis and the Y axis are perpendicular to the Z axis, the axis of the driven shaft is the Z axis, and the X axis and the Y axis are perpendicular to the Z axis.
According to the laser centering method of the exemplary embodiment of the present invention, the predetermined angles rotated with respect to the initial position during the three rotations are γ1、γ2、γ3The corresponding mathematical relationship is shown in the following equation:
α′γ1＝θ1-θ2-α·cos(φ-γ1)
α′γ2＝θ1-θ2-α·cos(φ-γ2)
α′γ3＝θ1-θ2-α·cos(φ-γ3)
wherein, α'γ1、α′γ2And α'γ3Denotes the measured value of angular deflection, L'γ1、L′γ2And L'γ3Representing measured values of the amount of yaw, gamma1、γ2、γ3Respectively, represent predetermined angles of rotation.
According to the laser centering method of the exemplary embodiment of the present invention, data about a laser beam emitted by a transmitter is collected by a first position-sensitive sensor and a second position-sensitive sensor in a laser centering system, and a measured value of an angular deviation and a flat deviation is obtained by using the following equation:
L2＝(f′+t)tanα′
where α ' represents a measure of angular offset, L ' represents a measure of translational offset, f ' represents the focal length of the lens of the laser centering system, and L1The distance between the center of a light spot collected by the first position-sensitive sensor and the main optical axis of the lens is represented, t represents the equivalent distance between the second position-sensitive sensor and the first position-sensitive sensor, and L2Indicating the distance, L, between the chief ray corresponding to the reference beam collected by the second position-sensitive sensor and the chief axis of the lens3Indicating the distance between the center of the light spot collected by the second position sensitive sensor and the main optical axis of the lens.
According to the laser centering method of the exemplary embodiment of the present invention, after analyzing actual values of the angular offset and the translational offset, the angular offset component and the translational offset component of the driving shaft and the driven shaft in the X direction of the driving shaft and the angular offset component and the translational offset component of the driving shaft and the driven shaft in the Y direction of the driving shaft are calculated using the following equations:
αx＝α·sinφ
αy＝α·cosφ
wherein, αxAnd LxRespectively representing the angular offset component and the translational offset component of the driving shaft and the driven shaft in the X direction of the driving shaft, αyAnd LyRespectively showing the angular offset component and the plane offset component of the driving shaft and the driven shaft in the Y-axis direction of the driving shaft.
According to the laser centering method of the exemplary embodiment of the present invention, the driven shaft is adjusted in a manner of being equal in magnitude and opposite in direction to the numerical value according to the numerical values of the angular offset component and the offset component in the X-direction and the Y-direction, which are calculated, so that the driving shaft and the driven shaft are axially centered.
According to the laser centering method of the exemplary embodiment of the present invention, the predetermined angle γ1、γ2、γ3At any angle different from each other.
According to the laser centering method of the exemplary embodiment of the present invention, the predetermined angle γ1、γ2、γ3Respectively 90 degrees, 180 degrees and 270 degrees.
Because the laser centering method provided by the invention takes the installation parameters of the laser centering system into consideration in the calculation, the laser centering method can eliminate the error introduced by the laser centering system, thereby effectively reducing the measurement error and improving the measurement precision of the laser centering system.
Drawings
FIG. 1 is a schematic diagram of a laser centering system.
Fig. 2 is an equivalent optical path diagram of the laser centering system shown in fig. 1.
Fig. 3 is a flowchart of a laser centering method of eliminating an installation error of a laser centering system according to an exemplary embodiment of the present invention.
Fig. 4 is a schematic coordinate diagram of a driving shaft and a driven shaft in the mechanical transmission device.
Fig. 5 is a schematic coordinate diagram after the rotation of the driven shaft shown in fig. 4.
Detailed Description
A laser centering method of eliminating an installation error of a laser centering system according to an exemplary embodiment of the present invention will be described in detail with reference to the accompanying drawings.
In the present exemplary embodiment, a schematic diagram and an equivalent optical path diagram of a laser centering system used are shown in fig. 1 and 2, respectively. However, it should be noted that the laser centering method can also be applied to other laser centering systems.
Referring to fig. 1 and 2, the laser centering system mainly includes a lens 10, a beam splitter prism 20, and two position sensitive detectors (PSD1 and PSD2), and a principal plane of the lens 10 is denoted by 11. In the laser centering system, parallel light emitted from a laser is deflected by a lens 10, and the deflected light is passed through a beam splitter prism 20 and split into two separate beams (a transmitted beam and a reflected beam) by the beam splitter prism 20. Wherein a first position sensitive detector (PSD1) is located at the focal plane for receiving the reflected beam and collecting data related to the reflected beam. A second position sensitive detector (PSD2) is positioned a predetermined distance t behind the focal plane for receiving the transmitted beam and collecting data related to the projected beam. The predetermined distance t represents an equivalent distance between the second and first position sensitive sensors. The laser centering system used in the present exemplary embodiment performs two measurements each time, which is equivalent to the conventional laser centering system moving the lens 10, i.e., the two independent optical paths (reflection and transmission) formed by the prism can perform the two measurements of the conventional laser centering system at one time.
In a mechanical transmission apparatus in which shaft centering is not achieved, the amount of deviation existing between the drive shaft and the driven shaft is a two-dimensional space vector. Here, the deviation amount includes an angular deviation amount which is an angle between an axis of the driving shaft and an axis of the driven shaft, and a flat deviation amount which is a perpendicular distance from the axis of the driven shaft to the axis of the driving shaft on the principal plane of the lens. In the laser centering method, a transmitter and a receiver of a laser centering system are respectively arranged on a driving shaft and a driven shaft of mechanical transmission equipment, the deviation between the driving shaft and the driven shaft is displayed by utilizing a laser beam, and data collected by a position sensitive sensor in the receiver is calculated, so that the angular deviation and the deviation are indirectly measured. The deviation amount of the laser beam in the two-dimensional space can be represented by two flat deviation amounts and two angular deviation amounts, and the two-dimensional space vector can be decomposed into two one-dimensional vectors. The measurement principle of the one-dimensional angular deviation and the flat deviation is described in detail below with reference to fig. 2.
Data is acquired using the PSD1 at the focal plane position, and then the angle α' between the chief ray corresponding to the reference beam and the chief axis of the lens 10 is calculated using equation (1) shown below:
where α 'represents a measure of angular offset, f' represents the focal length of the lens 10, and L1Is the distance from the center of the light spot collected by the PSD1 to the main optical axis of the lens 10, in this specification, the sign of α ' is defined as the light ray turned at an acute angle to be parallel to the main optical axis, if the rotation direction is clockwise, α ' is positive, if the rotation direction is counterclockwise, α ' is negative, L1The positive and negative of (A) are defined as follows: based on the main optical axis, if it is above the main optical axis, then L1Is a positive value; if below the main optical axis, then L1Is negative.
After obtaining the measured value α' of the angular deviation, using the relevant data collected by the PSD2, the following equations (2) to (3) can be obtained through trigonometric relations:
L2＝(f′+t)tanα′ (2)
wherein L' represents the measured value of the flat deviation, t represents the equivalent distance between the PSD2 and the PSD1, and L2Denotes the distance, L, between the chief ray corresponding to the reference beam collected by PSD2 and the chief axis of lens 103Indicating the distance between the center of the spot collected by PSD2 and the main optical axis of lens 10. In the present specification, L', L2And L3The positive and negative are defined as follows: based on the main optical axis, if it is above the main optical axis, then L' and L2And L3Is a positive value; l', L if below the main optical axis2And L3Is negative.
In practice, the measured value α' of the angular offset as shown in equation (1) and the measured value of the flat offset as shown in equation (3) contain the installation error introduced by the laser centering system itself, and therefore, the measured values of the angular offset and the flat offset do not truly reflect the amount of deviation between the driving shaft and the driven shaft.
A laser centering method of eliminating an installation error of a laser centering system according to an exemplary embodiment of the present invention is described in detail below with reference to fig. 3 to 5.
Fig. 3 is a flowchart of a laser centering method of eliminating an installation error of a laser centering system according to an exemplary embodiment of the present invention. Fig. 4 is a schematic coordinate diagram of a driving shaft and a driven shaft in the mechanical transmission apparatus, and fig. 5 is a schematic coordinate diagram after the driven shaft shown in fig. 4 rotates.
Referring to fig. 3, in step 100, mathematical models of the measured value and the actual value of the angular deviation and the measured value and the actual value of the flat deviation are established, and corresponding mathematical relations are obtained.
The laser centering is used for fine adjustment of shaft centering, so that before the laser centering method is adopted, the shaft centering condition of a driving shaft and a driven shaft of the machine can be observed by naked eyes by means of a ruler, and coarse adjustment is carried out, so that the laser beam emitted by the emitter is prevented from deviating from the detection range of a position sensitive detector in the receiver. In the laser centering system used in the present exemplary embodiment, the transmitter and the receiver are installed on the driving shaft and the driven shaft, respectively, and the receiver receives the laser beam emitted from the transmitter. In the present exemplary embodiment, the position where the transmitter and the receiver are installed is set as the initial position. Furthermore, during the measurement, all measured values are obtained from a receiver mounted on the driven shaft. However, in other embodiments according to the present invention, the transmitter may be mounted on the driven shaft and the receiver may be mounted on the driving shaft as long as the transmission and reception of the laser beam between the driving shaft and the driven shaft can be achieved.
As shown in FIGS. 4 and 5, initial coordinate systems O-XYZ and O-XYZ are established based on the driving axis and the driven axis, respectively (the axis of the driving axis is the Z-axis, the X-axis and the Y-axis are perpendicular to the Z-axis, the axis of the driven axis is the Z-axis, and the X-axis and the Y-axis are perpendicular to the Z-axis). The pitch angle of a transmitter (not shown) on the driveshaft with respect to the axis of the driveshaft is set to θ1The pitch angle of the receiver with respect to the axis of the driven shaft is set to theta2. Here, regarding θ1、θ2The positive and negative of (A) are defined as follows: when theta is1Positive in elevation, when theta1A negative value when the angle of depression is a negative value; when theta is2Is negative in elevation, and is theta2The depression angle is positive. The included angle between the projection of the axial lead of the driving shaft on the end surface of the driven shaft and the Y axis is set to be phi, and the distance between the receiver and the axial lead of the driven shaft and the distance between the transmitter and the axial lead of the driving shaft are higherThe difference in degree is set to lhAbout lhThe positive and negative of (A) are defined as follows: if the receiver-to-follower axis is higher than the transmitter-to-drive axis, then lhPositive values. The horizontal distance between the transmitter and the receiver is set to lbHere, the actual value of the angular offset between the driving shaft and the driven shaft and the actual value of the yaw are α and L, respectively, and the angle between the actual yaw L and the Y axis is defined asAboutThe positive and negative of (A) are defined as follows: when the actual amount of yaw L is derived from a positive counterclockwise rotation of the Y-axis,positive values.
At the initial position, the mathematical relationship between the measured value α 'of the amount of angular deviation in the Y direction and the actual value α of the amount of angular deviation is as shown in equation (4), and the mathematical relationship between the measured value L' of the amount of flat deviation in the Y direction and the actual value L of the amount of flat deviation is as shown in equation (5):
α′＝θ1-θ2-α·cosφ (4)
referring back to fig. 3, in step 200, a measured value of the angular offset and a measured value of the offset between the driven shaft and the driving shaft are indirectly obtained by measurement at the initial positions where the transmitter and the receiver are installed (specifically, refer to equations (1) to (3) as described above).
In step 300, the transmitter and the receiver are rotated three times around the driving shaft and the driven shaft, respectively, and an angular offset and an offset between the driven shaft and the driving shaft corresponding to a predetermined angle rotated each time are obtained by measurement, respectively. Since the driven axis rotates, the coordinate system of the receiver is different from the initial coordinate system, and each measurement value is obtained by the real-time coordinate system of the receiver, so that each rotation needs to convert various influence quantities to the real-time coordinate system.
Specifically, the driving shaft and the driven shaft are rotated by the same first predetermined angle γ1(corresponding to the same first predetermined angle γ for the transmitter and receiver to rotate around the driving shaft and the driven shaft, respectively1). Referring to FIG. 4, the initial coordinate system of the driven shaft is O-XYZ, and the coordinate system after the driven shaft rotates is O-X 'Y' Z ', OZ' coincides with the direction of OZ in the active shaft coordinate system O-XYZ.
The driving shaft and the driven shaft rotate by a first preset angle gamma1Thereafter, an angular deflection α 'is measured'γ1And plane offset L'γ1Measured value of angular offset α'γ1The measured value L 'of the yaw misalignment is expressed in equation (6) with respect to the actual value α of the angular misalignment'γ1The mathematical relationship with the actual value L of the amount of flat deviation is shown in equation (7):
α′γ1＝θ1-θ2-α·cos(φ-γ1) (6)
then, the rotating driving shaft and the driven shaft are rotated by a second predetermined angle gamma2Measuring angular deviation α'γ2And plane offset L'γ2Measured value of angular offset α'γ2The relationship with the actual value α of the angular offset is shown in equation (8), the measured value L 'of the translational offset'γ2The mathematical relationship with the actual value L of the amount of flat deviation is shown in equation (9):
α′γ2＝θ1-θ2-α·cos(φ-γ2) (8)
then, the rotating driving shaft and the driven shaft are rotated by a third predetermined angle gamma3Measuring angular deviation α'γ3And plane offset L'γ3Measured value of angular offset α'γ3The relationship with the actual value α of the angular offset is shown in equation (10), the measured value L 'of the translational offset'γ3The mathematical relationship with the actual value L of the amount of flat deviation is shown in equation (11):
α′γ3＝θ1-θ2-α·cos(φ-γ3) (10)
in the present exemplary embodiment, it is preferable that the predetermined angle γ to be rotated with respect to the initial position1、γ2、γ3Set at 90 degrees, 180 degrees and 270 degrees, respectively. However, the present invention is not limited thereto, and the predetermined angle γ1、γ2、γ3May be set at any angle different from each other.
In the 8 equations of the above equations (4) to (11), there are 8 unknowns α, L, φ, phi,lh、lb、θ1、θ2Thus, in step 400, equations (4) through (11) are concatenated into a system of equations, and the known or measured quantities α ', L', γ are combined1、α′γ1、L′γ1、γ2、α′γ2、L′γ2、γ3、α′γ3、L′γ3By substituting the values of (a) and (b) into the equations, the actual value of the angular offset α and the actual value of the offset L can be solved.
Specifically, the angular offset component and the yaw component in the Y direction of the actual value α of the angular offset and the actual value L of the yaw are as shown in the following equations (12) and (13), respectively:
αy＝α·cosφ (12)
the angular offset component and the yaw component of the actual value α of the angular offset and the actual value L of the yaw in the X direction are shown in the following equations (14) and (15), respectively:
αx＝α·sinφ (14)
in step 500, the driven shaft is adjusted by the corresponding numerical value according to the numerical values calculated by equations (12) to (15) (specifically, the driven shaft is adjusted in a manner equal in magnitude and opposite in direction to the numerical values calculated by equations (12) to (15) so that α is αx、Lx、αyAnd LyTending to zero) to achieve axial alignment between the driving and driven shafts. When the driving and driven axes are perfectly centered, the Z-axis in the initial coordinate system O-XYZ as shown in fig. 3 will coincide with the Z-axis in O-XYZ, respectively.
In summary, according to the laser centering method of the present invention, the installation error of the laser centering system is taken into consideration, the mathematical relation between the measured value and the actual value is obtained by building a mathematical model, the angular deviation and the translational deviation are measured at the initial position, the driving shaft and the driven shaft are rotated three times, and the angular deviation and the translational deviation are measured at each rotational position, so that the actual value of the angular deviation and the actual value of the translational deviation are solved by using the measured values and the mathematical relation. And finally, adjusting the driving shaft or the driven shaft according to the actual value so as to realize accurate shaft centering. Because the laser centering method takes the installation error of the laser centering system into account in the calculation, the error introduced by the laser centering system can be eliminated by adopting the laser centering method, so that the measurement error is effectively reduced, and the measurement precision of the laser centering system is improved.
Although exemplary embodiments of the present invention have been shown and described, it would be appreciated by those skilled in the art that changes may be made in these embodiments without departing from the principles and spirit of the invention, the scope of which is defined in the claims and their equivalents.
Claims (7)
1. A laser centering method for eliminating installation errors of a laser centering system, wherein a transmitter and a receiver of the laser centering system are respectively installed on a driving shaft and a driven shaft of mechanical transmission equipment, and the receiver receives laser beams emitted by the transmitter, and the laser centering method comprises the following steps:
(a) establishing a mathematical model of a measured value and an actual value of an angular deviation between the driving shaft and the driven shaft and a measured value and an actual value of a plane deviation between the driving shaft and the driven shaft, and obtaining a corresponding mathematical relational expression;
(b) measuring and calculating the measured values of the angular offset and the offset between the driven shaft and the driving shaft at the initial positions where the transmitter and the receiver are installed;
(c) rotating the transmitter and the receiver around the driving shaft and the driven shaft three times respectively, and obtaining the measured values of the angular deviation and the plane deviation between the driven shaft and the driving shaft corresponding to the preset angle rotated each time through measurement respectively;
(d) substituting the measured values of the angular deviation and the plane deviation obtained in the step (b) and the step (c) and the preset angle into the mathematical relation, and solving actual values of the angular deviation and the plane deviation;
(e) adjusting the driven shaft according to the solved actual values of the angular deviation and the plane deviation, so as to realize accurate shaft centering of the driving shaft and the driven shaft;
the mathematical relationship is the following equation:
α'＝θ1-θ2-α·cosφ
where α 'represents a measured value of the angular deviation, L' represents a measured value of the yaw, α represents an actual value of the angular deviation, L represents an actual value of the yaw, and θ1Representing the pitch angle, theta, of the transmitter2Represents the pitch angle of the receiver, phi represents the included angle between the projection of the axial lead of the driving shaft on the end surface of the driven shaft and the Y axis of the initial coordinate system O-XYZ of the driven shaft,angle between actual value representing amount of plane deviation and said Y axis,/bRepresenting the horizontal distance between transmitter and receiver,/hThe height difference between the distance from the receiver to the axis of the driven shaft and the distance from the transmitter to the axis of the driving shaft is shown,
the method comprises the steps of establishing an initial coordinate system O-XYZ and an initial coordinate system O-XYZ based on a driving shaft and a driven shaft respectively, wherein the axis of the driving shaft is a Z axis, the X axis and the Y axis are perpendicular to the Z axis, the axis of the driven shaft is the Z axis, and the X axis and the Y axis are perpendicular to the Z axis.
2. The laser centering method of claim 1, wherein the predetermined angles of rotation with respect to the initial position during the three rotations are γ1、γ2、γ3The corresponding mathematical relationship is shown in the following equation:
wherein,anda measure indicative of the amount of angular misalignment,andrepresenting measured values of the amount of yaw, gamma1、γ2、γ3Respectively, represent predetermined angles of rotation.
3. The laser centering method of claim 1, wherein data about the laser beam emitted by the emitter is collected by a first position sensitive sensor and a second position sensitive sensor in the laser centering system, and the measured values of the angular deviation and the flat deviation are obtained by using the following equations:
L2＝(f'+t)tanα'
where α ' represents a measure of angular offset, L ' represents a measure of translational offset, f ' represents the focal length of the lens of the laser centering system, and L1The distance between the center of a light spot collected by the first position-sensitive sensor and the main optical axis of the lens is represented, t represents the equivalent distance between the second position-sensitive sensor and the first position-sensitive sensor, and L2Indicating the distance, L, between the chief ray corresponding to the reference beam collected by the second position-sensitive sensor and the chief axis of the lens3Indicating the distance between the center of the light spot collected by the second position sensitive sensor and the main optical axis of the lens.
4. The laser centering method as claimed in claim 3, after analyzing actual values of the angular offset and the translational offset, calculating an angular offset component and a translational offset component of the driving shaft and the driven shaft in the X-axis direction of the driving shaft and an angular offset component and a translational offset component of the driving shaft and the driven shaft in the Y-axis direction of the driving shaft by using the following equations:
αx＝α·sinφ
αy＝α·cosφ
wherein, αxAnd LxRespectively representing the angular offset component and the translational offset component of the driving shaft and the driven shaft in the X direction of the driving shaft, αyAnd LyRespectively showing the angular offset component and the plane offset component of the driving shaft and the driven shaft in the Y-axis direction of the driving shaft.
5. The laser centering method of claim 4, wherein the driven shaft is adjusted in a manner of equal amplitude and opposite direction to the numerical value according to the numerical values of the angular offset component and the offset component in the X-axis direction and the Y-axis direction, thereby achieving axial centering of the driving shaft and the driven shaft.
6. The laser centering method of claim 2, the predetermined angle γ1、γ2、γ3At any angle different from each other.
7. The laser centering method of claim 2, the predetermined angle γ1、γ2、γ3Respectively 90 degrees, 180 degrees and 270 degrees.
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