CN105806361A - Laser alignment method for eliminating installation error of laser alignment system - Google Patents
Laser alignment method for eliminating installation error of laser alignment system Download PDFInfo
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- CN105806361A CN105806361A CN201410844539.5A CN201410844539A CN105806361A CN 105806361 A CN105806361 A CN 105806361A CN 201410844539 A CN201410844539 A CN 201410844539A CN 105806361 A CN105806361 A CN 105806361A
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Abstract
The invention provides a laser alignment method for eliminating the installation error of a laser alignment system. An emitter and a receiver of the laser alignment system are respectively installed on a driving shaft and a driven shaft of mechanical equipment. The laser alignment method consists of: establishing mathematical models of angle deviator's measured value and actual value, plane deviator's measured value and actual value to acquire mathematical relationships; at the vertical installation initial positions of the emitter and the receiver, performing measurement to obtain an angle deviator and a plane deviator between the driving shaft and the driven shaft; rotating the emitter and the receiver around the driving shaft and the driven shaft respectively three times, and conducting measurement respectively to obtain an angle deviator and a plane deviator between the driving shaft and the driven shaft corresponding to a rotary predetermined angle; introducing the obtained measured values of the angle deviator and the plane deviator into the mathematical relationship to work out the actual values of the angle deviator and the plane deviator; and adjusting the driving shaft and the driven shaft according to the obtained actual values of the angle deviator and the plane deviator so as to realize precise shaft alignment.
Description
Technical field
The invention belongs to test and measuring field, relate to a kind of laser alignment method, more particularly, it relates to a kind of laser alignment method of alignment error eliminating laser alignment system.
Background technology
Through-drive is mechanically operated a kind of important way.A driven off by shaft key issue seeks to the shaft assignment (that is, axial line alignment) realizing between driving shaft and driven shaft.According to statistics, the mechanical disorder of more than 50% is caused due to drive apparatus coupling misalignment.For preventing, bearing premature failure, rotating shaft are tired, seal damage, vibration plays very important effect in the good centering of mechanical axis system.Additionally, good shaft assignment can also reduce overheated and extra energy expenditure.Therefore, mechanical axis system whether centering has vital impact to equipment is properly functioning.
Summary of the invention
For overcoming the deficiencies in the prior art, the present invention provides a kind of laser alignment method of alignment error eliminating laser alignment system.Adopt laser alignment method of the present invention, it is possible to eliminate the introduced error of laser alignment system self, thus efficiently reducing measurement error, to improve the certainty of measurement of laser alignment system.
Exemplary embodiment according to the present invention, a kind of laser alignment method of alignment error eliminating laser alignment system is provided, the emitter of laser alignment system and receptor are separately mounted on driving shaft and the driven shaft of mechanical transmission, receptor receives the laser beam that emitter sends, described laser alignment method comprises the following steps: (a) sets up the measured value of the flat deviator between measured value and actual value, driving shaft and the driven shaft of the angle deviator between driving shaft and driven shaft and the mathematical model of actual value, and draws corresponding relationship；B initial position that () installs at emitter and receptor, obtains the measured value of angle deviator peace deviator between driven shaft and driving shaft by survey calculation；C emitter is rotated three times around driving shaft with driven shaft respectively by () with receptor, and respectively through measuring the measured value of the angle deviator peace deviator obtained between the driven shaft corresponding with each rotated predetermined angular and driving shaft；D measured value and the described predetermined angular of angle deviator obtained to step (b) and step (c) and flat deviator are updated in described relationship by (), solve the actual value of angle of departure deviator and flat deviator；E driven shaft is adjusted by () according to the actual value of the angle deviator solved Yu flat deviator, thus realizing the shaft assignment of accurate driving shaft and driven shaft.
The laser alignment method of the exemplary embodiment according to the present invention, in initial position, described relationship is following equalities:
α '=θ1-θ2-α·cosφ
Wherein, α ' represents the measured value of angle deviator, and L ' represents the measured value of flat deviator, and α represents the actual value of angle deviator, and L represents the actual value of flat deviator, θ1Represent the angle of pitch of emitter, θ2Representing the angle of pitch of receptor, φ represents the axial line of the driving shaft angle between the Y-axis of the projection of driven shaft end face and the initial coordinate system O-XYZ of driven shaft,Represent the angle between the actual value of flat deviator and described Y-axis, lbRepresent the horizontal range between emitter and receptor, lhRepresent the difference in height of the receptor axial line distance to driven shaft and the axial line distance of emitter to driving shaft,
Wherein, setting up initial coordinate system o-xyz and O-XYZ respectively based on driving shaft and driven shaft, the axial line of driving shaft is that z-axis, x-axis and y-axis are perpendicular to z-axis, and the axial line of driven shaft is that Z axis, X-axis and Y-axis are perpendicular to Z axis.
Exemplary embodiment according to the present invention laser alignment method, in three rotary courses, relative to the predetermined angular respectively γ that initial position rotates1、γ2、γ3, corresponding relationship is such as shown in following equalities:
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′γ2With α 'γ3Represent the measured value of angle deviator, L 'γ1、L′γ2With L 'γ3Represent the measured value of flat deviator, γ1、γ2、γ3Represent the predetermined angular rotated respectively.
The laser alignment method of the exemplary embodiment according to the present invention, by the data of the laser beam that the first position sensitive device in laser alignment system and second dependent sensor collection send about emitter, and following equalities is utilized to obtain the measured value of angle deviator and flat deviator:
L2=(f '+t) tan α '
Wherein, α ' represents the measured value of angle deviator, and L ' represents the measured value of flat deviator, and f ' represents the focal length of the lens of laser alignment system, L1Representing that spot center that the first position sensitive device collects is to the distance between the primary optical axis of lens, t represents the equivalent distances between second dependent sensor and the first position sensitive device, L2Represent the distance between the chief ray corresponding with the reference beam that second dependent sensor gathers and the primary optical axis of lens, L3Represent that the spot center that gathers of second dependent sensor is to the distance between the primary optical axis of lens.
The laser alignment method of the exemplary embodiment according to the present invention, after resolving the actual value of angle of departure deviator and flat deviator, following equalities is utilized to calculate driving shaft and driven shaft angle deviatoric component in the X-direction of driving shaft and flat deviatoric component and driving shaft and driven shaft angle deviatoric component in the Y direction of driving shaft and flat deviatoric component:
αx=α sin φ
αy=α cos φ
Wherein, αxAnd LxRepresent driving shaft and driven shaft angle deviatoric component in the X-direction of driving shaft and flat deviatoric component, α respectivelyyAnd LyRepresent driving shaft and driven shaft angle deviatoric component in the Y direction of driving shaft and flat deviatoric component respectively.
The laser alignment method of the exemplary embodiment according to the present invention, numerical value according to computed X-direction with the angle deviatoric component peace deviatoric component in Y direction, according to the amplitude such as described numerical value and mode in opposite direction, driven shaft is adjusted, so that driving shaft and driven shaft realize shaft assignment.
The laser alignment method of the exemplary embodiment according to the present invention, described predetermined angular γ1、γ2、γ3For different from each other arbitrarily angled.
The laser alignment method of the exemplary embodiment according to the present invention, described predetermined angular γ1、γ2、γ3Respectively 90 degree, 180 degree and 270 degree.
The installation parameter of laser alignment system is considered due to laser alignment method of the present invention in calculating, so described laser alignment method can eliminate the introduced error of laser alignment system self, thus efficiently reducing measurement error, to improve the certainty of measurement of laser alignment system.
Accompanying drawing explanation
Fig. 1 is the schematic diagram of a kind of laser alignment system.
Fig. 2 is the equivalent light path figure of the laser alignment system shown in Fig. 1.
Fig. 3 is the flow chart of the laser alignment method of the alignment error eliminating laser alignment system of the exemplary embodiment according to the present invention.
Fig. 4 is the coordinate schematic diagram of the driving shaft in mechanical transmission and driven shaft.
Fig. 5 is the coordinate schematic diagram after the driven shaft shown in Fig. 4 rotates.
Detailed description of the invention
Below in conjunction with accompanying drawing, the laser alignment method of the alignment error eliminating laser alignment system of the exemplary embodiment according to the present invention is described in detail.
In the present example embodiment, the schematic diagram of the laser alignment system used is with equivalent light path figure respectively as depicted in figs. 1 and 2.However, it is necessary to illustrate, described laser alignment method is equally applicable to other laser alignment systems.
With reference to Fig. 1 and Fig. 2, described laser alignment system mainly includes lens 10, Amici prism 20 and two position sensitive detectors (PSD1 and PSD2), and the principal plane of lens 10 represents with 11.In this laser alignment system, the directional light that laser instrument sends is deflected by lens 10, and deflected light is through Amici prism 20, and the prism 20 that is split is divided into the independent light beam of two bundles (transmitted light beam and reflection light beam).Wherein, the first position sensitive detector (PSD1) is positioned on focal plane, is used for receiving reflection light beam, and gathers the data relevant to reflection light beam.Second position sensitive detector (PSD2) is positioned at preset distance t place after focal plane, is used for receiving transmitted light beam, and gathers the data relevant to projecting beam.Preset distance t represents the equivalent distances between second dependent sensor and the first position sensitive device.The laser alignment system used in this exemplary embodiment often carries out one-shot measurement, it is equivalent to common laser alignment system mobile lens 10 and performs twice at measurement, that is, the such two-way independent optical paths (reflection and transmission) formed by prism disposable can complete the workload of common laser alignment twice measurement of system.
In the mechanical transmission being not carried out shaft assignment, the departure existed between driving shaft and driven shaft is two-dimensional space vector.Here, described departure includes angle deviator peace deviator, and wherein, angle deviator refers to that the angle between the axial line of driving shaft and the axial line of driven shaft, flat deviator refer to that on the principal plane of lens the axial line of driven shaft is to the vertical dimension of the axial line of driving shaft.In laser alignment method, the emitter of laser alignment system and receptor are separately mounted on driving shaft and the driven shaft of mechanical transmission, utilize the laser beam departure to represent between driving shaft and driven shaft, and be calculated by the data of the position sensitive device collection in receptor, thus indirectly measure angle of departure deviator peace deviator.Laser beam can be represented by two flat deviators and two angle deviators in the departure of two-dimensional space, and two-dimensional space vector can be decomposed into two n dimensional vector ns.The measuring principle of one-dimensional angle deviator and flat deviator is specifically described below in conjunction with Fig. 2.
The PSD1 utilizing position of focal plane place gathers data, then utilizes equation (1) shown below to calculate the angle α ' between the chief ray corresponding with reference beam and the primary optical axis of lens 10:
Wherein, α ' represents the measured value of angle deviator, and f ' represents the focal length of lens 10, L1It is the PSD1 spot center collected to the distance between the primary optical axis of lens 10.In this manual, the positive and negative of α ' provides as follows: gone to parallel with primary optical axis with acute angle by light, if direction of rotation is clockwise, then α ' be on the occasion of；If direction of rotation is that counterclockwise then α ' is negative value.L1Positive and negative provide as follows: with primary optical axis for benchmark, if more than primary optical axis, then L1For on the occasion of；If below primary optical axis, then L1For negative value.
After obtaining the measured value α ' of angle deviator, utilize the related data that PSD2 collects, can show that following equation (2) is to equation (3) by triangle relation:
L2=(f '+t) tan α ' (2)
Wherein, L ' represents the measured value of flat deviator, and t represents the equivalent distances between PSD2 and PSD1, L2Represent the distance between the chief ray corresponding with the reference beam that PSD2 gathers and the primary optical axis of lens 10, L3Represent that the spot center that gathers of PSD2 is to the distance between the primary optical axis of lens 10.It is right in this explanation, L ', L2And L3Positive and negative provide as follows: with primary optical axis for benchmark, if more than primary optical axis, then L ', L2And L3For on the occasion of；If below primary optical axis, then L ', L2And L3For negative value.
Actually, the measured value of the measured value α ' of the angle deviator as shown in equation (1) and the flat deviator as shown in equation (3) comprises the alignment error that laser alignment system itself introduces, therefore, the measured value of described angle deviator peace deviator can not reflect the departure between driving shaft and driven shaft truly.If it is intended to the real departure obtained between driving shaft and driven shaft, then must eliminate the alignment error of laser alignment system.Therefore, the laser alignment method of the exemplary embodiment according to the present invention further contemplates the alignment error that laser alignment system itself introduces, thereby through founding mathematical models, derive the relationship between measured value and actual value, the alignment error of laser alignment system is eliminated with calculating by measuring, to obtain real departure (that is, the actual value of angle deviator and flat deviator).
Below in conjunction with Fig. 3 to Fig. 5, the laser alignment method of the alignment error eliminating laser alignment system of the exemplary embodiment according to the present invention is described in detail.
Fig. 3 is the flow chart of the laser alignment method of the alignment error eliminating laser alignment system of the exemplary embodiment according to the present invention.Fig. 4 is the coordinate schematic diagram of the driving shaft in mechanical transmission and driven shaft, and Fig. 5 is the coordinate schematic diagram after the driven shaft shown in Fig. 4 rotates.
With reference to Fig. 3, in step 100, set up the mathematical model of measured value and the actual value of the measured value of angle deviator and actual value, flat deviator, and draw corresponding relationship.
Laser alignment is for the intense adjustment of shaft assignment, therefore, before adopting laser alignment method, can by ruler, naked eyes are utilized to the shaft assignment situation of the driving shaft and driven shaft of observing machine and to carry out coarse adjustment, thus avoiding the laser beam that emitter sends to deviate from the investigative range of the position sensitive detector in receptor.In the laser alignment system that this exemplary embodiment uses, emitter and receptor are separately mounted on driving shaft and driven shaft, and receptor receives the laser beam that emitter sends.In the present example embodiment, the position that emitter and receptor are installed is set to initial position.Additionally, in measurement process, all of measured value is all obtain from the receptor being arranged on driven shaft.But, in other embodiments in accordance with the invention, launch between driving shaft and driven shaft as long as laser beam can be realized and receive, it is possible to emitter being arranged on driven shaft, receptor is arranged on driving shaft.
As shown in Figure 4 and Figure 5, initial coordinate system o-xyz and O-XYZ (axial line of driving shaft is that z-axis, x-axis and y-axis are perpendicular to z-axis, and the axial line of driven shaft is that Z axis, X-axis and Y-axis are perpendicular to Z axis) is set up respectively based on driving shaft and driven shaft.Emitter (not shown) on driving shaft is set to θ relative to the angle of pitch of the axial line of driving shaft1, receptor is set to θ relative to the angle of pitch of the axial line of driven shaft2.Here, about θ1、θ2Positive and negative provide as follows: work as θ1During for the elevation angle be on the occasion of, work as θ1It it is negative value during for the angle of depression；Work as θ2It is negative value during for the elevation angle, works as θ2During for the angle of depression be on the occasion of.The axial line of driving shaft angle between the projection and Y-axis of driven shaft end face is set to φ, and receptor is set to l to the axial line distance of driven shaft and the difference in height of the axial line distance of emitter to driving shafth, about lhPositive and negative provide as follows: if receptor is higher to the height of driving shaft axial line than emitter to driven shaft axial line, then lhFor on the occasion of.Horizontal range between emitter and receptor is set to lb.Here, the actual value of the angle deviator between driving shaft and driven shaft and the actual value of flat deviator are set to α and L.Actual flat deviator L and the angle of Y-axis are set toAboutPositive and negative provide as follows: when actual flat deviator L be rotate counterclockwise from Y-axis positive direction obtain time,For on the occasion of.
In initial position, shown in relationship such as equation (4) between the measured value α ' and the actual value α of angle deviator of angle deviator in the Y direction, shown in the mathematical relationship such as equation (5) between the measured value L ' and the actual value L of flat deviator of flat deviator in the Y direction:
α '=θ1-θ2-α·cosφ(4)
Referring back to Fig. 3, in step 200, in the initial position that emitter and receptor are installed, by measuring the measured value (referring in particular to equation as above (1) to equation (3)) of the measured value peace deviator of the angle deviator indirectly obtained between driven shaft and driving shaft.
In step 300, emitter is rotated three times around driving shaft with driven shaft respectively with receptor, and respectively through measuring the angle deviator peace deviator obtaining between the driven shaft corresponding with each rotated predetermined angular and driving shaft.Owing to driven shaft rotates, causing that the coordinate system of receptor is different from initial coordinate system, each measured value is all the result obtained with the real-time coordinates system of receptor, and therefore every time rotation is required for that various influence amount are transformed into real-time coordinates and fastens.
Specifically, by the first identical with driven shaft rotation for driving shaft predetermined angular γ1(be equivalent to emitter and receptor rotating around the driving shaft first predetermined angular γ identical with each spinning of driven shaft1).With reference to Fig. 4, the initial coordinate system of driven shaft is O-XYZ, driven shaft rotate after coordinate system be that O-X ' Y ' Z ', OZ ' is consistent with the direction of the oz in driving shaft coordinate system o-xyz.
Driving shaft and driven shaft rotate the first predetermined angular γ1After, measure angle deviator α 'γ1With flat deviator L 'γ1.The measured value α ' of angle deviatorγ1And between the actual value α of angle deviator shown in relation such as equation (6), the measured value L ' of flat deviatorγ1And shown in the such as equation of the mathematical relationship between the actual value L of flat deviator (7):
α′γ1=θ1-θ2-α·cos(φ-γ1)(6)
Then, rotating drive shaft and driven shaft are rotated the second predetermined angular γ2, measure angle deviator α 'γ2With flat deviator L 'γ2.The measured value α ' of angle deviatorγ2And shown in the such as equation of the relation between the actual value α of angle deviator (8), the measured value L ' of flat deviatorγ2And shown in the such as equation of the mathematical relationship between the actual value L of flat deviator (9):
α′γ2=θ1-θ2-α·cos(φ-γ2)(8)
Then, rotating drive shaft is rotated the 3rd predetermined angular γ with driven shaft3, measure angle deviator α 'γ3With flat deviator L 'γ3.The measured value α ' of angle deviatorγ3And shown in the such as equation of the relation between the actual value α of angle deviator (10), the measured value L ' of flat deviatorγ3And shown in the such as equation of the mathematical relationship between the actual value L of flat deviator (11):
α′γ3=θ1-θ2-α·cos(φ-γ3)(10)
In the present example embodiment, it is preferable that the predetermined angular γ that will rotate relative to initial position1、γ2、γ3It is respectively set to 90 degree, 180 degree and 270 degree.But, the invention is not restricted to this, described predetermined angular γ1、γ2、γ3Could be arranged to different from each other arbitrarily angled.
In these 8 equatioies of above-mentioned equation (4) to equation (11), exist 8 unknown quantity α, L, φ,lh、lb、θ1、θ2.Owing to the quantity of unknown quantity is equal to the quantity of equation, this 8 unknown quantitys therefore can be solved.Therefore, in step 400, it is equation group by equation (4) to equation (11) simultaneous, and by known or measure the amount α ', L ', the γ that obtain1、α′γ1、L′γ1、γ2、α′γ2、L′γ2、γ3、α′γ3、L′γ3Numerical value substitute in each equation, then just can solve the actual value L of the actual value α peace deviator of angle of departure deviator.
Specifically, the actual value L of the actual value α peace deviator of angle deviator angle deviatoric component in the Y direction and flat deviatoric component are respectively as shown in equation below (12) and (13):
αy=α cos φ (12)
The actual value L of the actual value α peace deviator of angle deviator angle deviatoric component in the X direction and flat deviatoric component are respectively as shown in equation below (14) and (15):
αx=α sin φ (14)
In step 500, according to the numerical value that equation (12) to (15) is calculated, driven shaft is carried out the adjustment of respective value (specifically, according to the amplitudes such as the numerical value calculated with equation (12) to (15) and mode in opposite direction, driven shaft is adjusted so that αx、Lx、αyAnd LyGo to zero), thus the shaft assignment realized between driving shaft and driven shaft.When driving shaft and driven shaft are entirely on the center, the z-axis in initial coordinate system o-xyz as shown in Figure 3 will overlap with Z axis in O-XYZ respectively.
In sum, in the alignment error of laser alignment system is considered by the laser alignment method according to the present invention, by founding mathematical models and draw the relationship between measured value and actual value, angle deviator and flat deviator is measured in initial position, three rotating drive shaft and driven shaft, and measure angle deviator and flat deviator at each rotational position, thus utilize the actual value of these measured values actual value with relationship solution angle of departure deviator and flat deviator.Finally, driving shaft or driven shaft are adjusted according to described actual value, to realize accurate shaft assignment.Owing to the laser alignment method according to the present invention considers the alignment error of laser alignment system in the calculation, so adopting described laser alignment method can eliminate the introduced error of laser alignment system self, thus efficiently reducing measurement error, to improve the certainty of measurement of laser alignment system.
Although it has been illustrated and described that the exemplary embodiment of the present invention, it will be understood by those skilled in the art that when without departing from when being limited principles of the invention and the spirit of its scope by claim and equivalent thereof, it is possible to these embodiments are modified.
Claims (8)
1. the laser alignment method of the alignment error eliminating laser alignment system, the emitter of laser alignment system and receptor are separately mounted on driving shaft and the driven shaft of mechanical transmission, receptor receives the laser beam that emitter sends, and described laser alignment method comprises the following steps:
A () sets up the measured value of the flat deviator between measured value and actual value, driving shaft and the driven shaft of the angle deviator between driving shaft and driven shaft and the mathematical model of actual value, and draw corresponding relationship；
B initial position that () installs at emitter and receptor, obtains the measured value of angle deviator peace deviator between driven shaft and driving shaft by survey calculation；
C emitter is rotated three times around driving shaft with driven shaft respectively by () with receptor, and respectively through measuring the measured value of the angle deviator peace deviator obtained between the driven shaft corresponding with each rotated predetermined angular and driving shaft；
D measured value and the described predetermined angular of angle deviator obtained to step (b) and step (c) and flat deviator are updated in described relationship by (), solve the actual value of angle of departure deviator and flat deviator；
E driven shaft is adjusted by () according to the actual value of the angle deviator solved Yu flat deviator, thus realizing the shaft assignment of accurate driving shaft and driven shaft.
2. laser alignment method according to claim 1, in initial position, described relationship is following equalities:
α '=θ1-θ2-α·cosφ
Wherein, α ' represents the measured value of angle deviator, and L ' represents the measured value of flat deviator, and α represents the actual value of angle deviator, and L represents the actual value of flat deviator, θ1Represent the angle of pitch of emitter, θ2Representing the angle of pitch of receptor, φ represents the axial line of the driving shaft angle between the Y-axis of the projection of driven shaft end face and the initial coordinate system O-XYZ of driven shaft,Represent the angle between the actual value of flat deviator and described Y-axis, lbRepresent the horizontal range between emitter and receptor, lhRepresent the difference in height of the receptor axial line distance to driven shaft and the axial line distance of emitter to driving shaft,
Wherein, setting up initial coordinate system o-xyz and O-XYZ respectively based on driving shaft and driven shaft, the axial line of driving shaft is that z-axis, x-axis and y-axis are perpendicular to z-axis, and the axial line of driven shaft is that Z axis, X-axis and Y-axis are perpendicular to Z axis.
3. laser alignment method according to claim 2, in three rotary courses, relative to the predetermined angular respectively γ that initial position rotates1、γ2、γ3, corresponding relationship is such as shown in following equalities:
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′γ2With α 'γ3Represent the measured value of angle deviator, L 'γ1、L′γ2With L 'γ3Represent the measured value of flat deviator, γ1、γ2、γ3Represent the predetermined angular rotated respectively.
4. laser alignment method according to claim 1, by the data of the laser beam that the first position sensitive device in laser alignment system and second dependent sensor collection send about emitter, and utilizes following equalities to obtain the measured value of angle deviator and flat deviator:
L2=(f '+t) tan α '
Wherein, α ' represents the measured value of angle deviator, and L ' represents the measured value of flat deviator, and f ' represents the focal length of the lens of laser alignment system, L1Representing that spot center that the first position sensitive device collects is to the distance between the primary optical axis of lens, t represents the equivalent distances between second dependent sensor and the first position sensitive device, L2Represent the distance between the chief ray corresponding with the reference beam that second dependent sensor gathers and the primary optical axis of lens, L3Represent that the spot center that gathers of second dependent sensor is to the distance between the primary optical axis of lens.
5. laser alignment method according to claim 3, after resolving the actual value of angle of departure deviator and flat deviator, following equalities is utilized to calculate driving shaft and driven shaft angle deviatoric component in the X-direction of driving shaft and flat deviatoric component and driving shaft and driven shaft angle deviatoric component in the Y direction of driving shaft and flat deviatoric component:
αx=α sin φ
αy=α cos φ
Wherein, αxAnd LxRepresent driving shaft and driven shaft angle deviatoric component in the X-direction of driving shaft and flat deviatoric component, α respectivelyyAnd LyRepresent driving shaft and driven shaft angle deviatoric component in the Y direction of driving shaft and flat deviatoric component respectively.
6. laser alignment method according to claim 5, numerical value according to computed X-direction with the angle deviatoric component peace deviatoric component in Y direction, according to the amplitude such as described numerical value and mode in opposite direction, driven shaft is adjusted, so that driving shaft and driven shaft realize shaft assignment.
7. the laser alignment method according to any one of claim 1-6, described predetermined angular γ1、γ2、γ3For different from each other arbitrarily angled.
8. the laser alignment method according to any one of claim 1-6, described predetermined angular γ1、γ2、γ3Respectively 90 degree, 180 degree and 270 degree.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN109774197A (en) * | 2018-07-13 | 2019-05-21 | 中国航空工业集团公司济南特种结构研究所 | A kind of composite material curved surface laying laser-projector method for determining position |
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| US5877854A (en) * | 1998-02-02 | 1999-03-02 | International Technologies (Lasers) Ltd. | Azimuth alignment system |
| CN201974586U (en) * | 2011-03-10 | 2011-09-14 | 中国原子能科学研究院 | Laser and CCD alignment positioning device |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN109774197A (en) * | 2018-07-13 | 2019-05-21 | 中国航空工业集团公司济南特种结构研究所 | A kind of composite material curved surface laying laser-projector method for determining position |
| CN109774197B (en) * | 2018-07-13 | 2021-05-07 | 中国航空工业集团公司济南特种结构研究所 | Method for determining position of laser projector of composite material curved surface layering |
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