A tolerance allocation method for large rotary equipment based on shaft diameter bidirectional compensation

Abstract

The present invention belongs to the field of tolerance allocation; a large-scale rotary equipment tolerance allocation method based on shaft diameter bidirectional compensation is disclosed. Step 1: Establish a seven-parameter error cylindrical profile measurement model; Step 2: Obtain a simplified shaft diameter seven-offset error cylindrical profile measurement model; Step 3: Based on the simplified shaft diameter seven-offset error cylindrical profile measurement model in step 2, estimate the eccentricity error of the measured surface and then obtain the eccentricity error target function of the measured component; Step 4: Based on the eccentricity error target function of the measured component in step 3, obtain the probability density of the eccentricity error of the measuring surface and the probability relationship between the contact surface runout and the eccentricity error; Step 5: Based on the probability density of the eccentricity error of the measuring surface and the probability relationship between the contact surface runout and the eccentricity error in step 4, obtain the tolerance allocation scheme of the measured components of large-scale rotary equipment. It is used to solve the problems of low assembly coaxiality, poor assembly quality and large vibration of large high-speed rotary equipment.

Description

Technical Field

[0001] The invention belongs to the field of surface profile measurement and engine assembly tolerance allocation, and particularly relates to a large rotary equipment tolerance allocation method based on shaft diameter bidirectional compensation. Background Art

[0002] The assembly quality of multi-stage clearance assembly rotors in large-scale rotating equipment will significantly affect the overall performance of the engine. The assembly error of the clearance rotor will continue to accumulate and amplify as the rotors are stacked through the contact of the assembly surfaces between the rotors. Therefore, accurate measurement of the rotor assembly surface is the basis for analyzing the clearance assembly of multi-stage large-scale rotating equipment.

[0003] The coaxiality and verticality of large rotary equipment assembly are the core indicators of the static assembly performance of the rotor system. Excessive tolerance will cause the engine to vibrate significantly when running at high speed. Once the vibration is severe, it will cause the rotor and casing to collide and rub, directly causing engine wear and even damage. Problems such as large coaxiality errors of multi-stage equipment after assembly caused by unreasonable assembly will amplify its vibration by 100 to 1000 times when running at high speed. Summary of the invention

[0004] The invention provides a large rotary equipment tolerance allocation method based on shaft diameter bidirectional compensation, which is used to solve the problems of low assembly coaxiality, poor assembly quality and large vibration of large high-speed rotary equipment.

[0005] The present invention is achieved through the following technical solutions:

[0006] A large rotary equipment tolerance allocation method based on shaft diameter bidirectional compensation, the large rotary equipment tolerance allocation method specifically comprising the following steps:

[0007] Step 1: Establish a seven-parameter error cylindrical profile measurement model;

[0008] Step 2: Based on the measurement model of step 1, a simplified cylindrical profile measurement model with seven offset errors of shaft diameter is obtained by using power series expansion;

[0009] Step 3: Based on the simplified cylindrical profile measurement model of shaft diameter with seven offset errors in step 2, the eccentricity error of the measured surface is estimated to obtain the eccentricity error objective function of the measured component;

[0010] Step 4: Based on the objective function of the eccentricity error of the measured component in step 3, the probability density of the eccentricity error of the measuring surface and the probability relationship between the contact surface runout and the eccentricity error are obtained;

[0011] Step 5: Based on the probability density of the measuring surface eccentricity error in step 4 and the probability relationship between the contact surface runout and the eccentricity error, the tolerance allocation scheme of the measured parts of the large rotary equipment is obtained.

[0012] A large rotary equipment tolerance allocation method based on shaft diameter bidirectional compensation, wherein the seven-parameter error cylindrical profile measurement model in step 1 is divided into a radial seven-parameter error cylindrical profile measurement model and an axial seven-parameter error cylindrical profile measurement model; wherein the axial seven-parameter error cylindrical profile measurement model is specifically,

[0013] when In the range 0 to π:

[0014]

[0015] when In the range of π to 2π:

[0016]

[0017]

[0018] Where i and j are the i-th measuring point and j-th end face respectively;

[0019] The radial seven-parameter error cylindrical profile measurement model is the same as the axial seven-parameter error cylindrical profile measurement model.

[0020] A tolerance allocation method for large rotary equipment based on bidirectional compensation of shaft diameter is proposed. Based on the measurement model in step 1, a cylindrical profile measurement model with seven offset errors, namely, composite eccentricity, tilt, probe offset, probe radius, probe support tilt, horizontal and vertical guide rail tilt, is established. The final form of the seven offset error measurement model equation is obtained:

[0021]

[0022] Where p is the number of sampling sections, the number of sampling points in each section is n, P ij is the measuring point i of section j, O 11 and O 1j is the measurement rotation center of the bottom surface and section j, and the geometric centers of the bottom surface and section j of the measured object are O 21 and O 2j , the geometric axis inclination angle and the vertical guide rail inclination angle are γ and φ respectively.

[0023] A large rotary equipment tolerance allocation method based on shaft diameter bidirectional compensation, wherein the simplified shaft diameter seven offset error cylindrical profile measurement model obtained by step 2 using power series expansion is specifically:

[0024] With d j +L j tanw sinτ ij +z j tanφsinε ij +e j sin(σij -α j ) is the expansion parameter, and ignoring the higher-order terms, the seven bias error measurement model can be obtained as follows:

[0025]

[0026] A tolerance allocation method for large-scale rotary equipment based on bidirectional compensation of shaft diameter, wherein step 3 specifically comprises generating 10,000 sets of radial eccentricity and axial perpendicularity data of various levels of large-scale high-speed rotary equipment according to the Monte Carlo method, rotating the rotation angles of various levels of large-scale high-speed rotary equipment, and then obtaining 10,000 sets of coaxiality parameters of multi-level equipment;

[0027] The step 4 specifically comprises obtaining a probability density function based on a distribution function drawn from the coaxiality parameters of the multi-stage equipment;

[0028] Specifically, step 5 is to obtain the probability relationship between the radial eccentricity and axial perpendicularity tolerances of each level of large-scale high-speed rotating equipment and the coaxiality tolerance of the final multi-level equipment, so as to realize the distribution of tolerances of large-scale high-speed rotating equipment.

[0029] A tolerance allocation method for large rotary equipment based on bidirectional compensation of shaft diameter. When the seven-parameter error cylindrical profile measurement model is established in step 1, the seven-parameter error components are first analyzed. Specifically, the eccentricity error will cause the axial measurement sampling angle of the cylindrical part to shift during measurement, and the actual sampling angle shift is expressed as follows:

[0030]

[0031] where e 0 is the initial eccentricity, α is the corresponding eccentricity angle, r 0 is the fitting radius, σ' i is the actual sampling angle, σ i is the ideal sampling angle.

[0032] A tolerance allocation method for large rotary equipment based on bidirectional compensation of shaft diameter is proposed. Let d be the offset of the sensor probe. The actual sampling angle offset is expressed as follows:

[0033]

[0034] A tolerance allocation method for large rotary equipment based on bidirectional compensation of shaft diameter. The probe radius error will cause the axial profile verticality measurement value H to be too high. The actual verticality measurement value H' offset is expressed as follows:

[0035] ν i =H′-H=r.

[0036] A tolerance allocation method for large rotary equipment based on bidirectional compensation of shaft diameter, the surface runout value offset at the actual measuring point is expressed as follows:

[0037]

[0038] The actual verticality measurement value offset is expressed as follows, when |σ′ i -β| is in the range of 0 to π:

[0039]

[0040] When |σ′ i -β| in the range of π to 2π:

[0041]

[0042] Among them, r 0 is the sampling radius, γ is the inclination angle of the geometric axis, and β is the angle between the projection direction of the geometric axis on the measurement plane and the initial measurement direction.

[0043] A tolerance allocation method for large rotary equipment based on bidirectional compensation of shaft diameter. When there is an angle φ between the vertical guide rail and the rotary reference, it not only directly produces a linear error in the measurement result, but also has a component in the vertical measurement direction;

[0044] Assume ε ij is the angle with the measuring direction, then the height error caused by the inclination angle of the vertical guide is z j (1 / cosφ-1), the component in the horizontal measurement direction is z j ·tanφ·cosε ij , and the other component is z j ·tanφ·sinε ij Causes the probe to deviate.

[0045] Along the sampling height direction and along the vertical measurement direction;

[0046] Assume w is the inclination angle of the horizontal guide rail, L j is the motion length, τ ij is the angle with the vertical measurement direction, then the component in the sampling height direction is L j ·tanw·cosτ ij , the other component is L j ·tanw·sinτ ij , which causes the probe to deflect.

[0047] The beneficial effects of the present invention are:

[0048] The present invention considers and compensates from two aspects of shaft diameter during assembly and distributes tolerances of various large rotating equipment in the assembly process accordingly, which can greatly reduce the pressure of dynamic balance and greatly improve the reliability of the engine.

[0049] The invention can improve the performance of large-scale high-speed rotating equipment.

[0050] The invention is used for separating the measurement error of the axial profile of a cylindrical component. BRIEF DESCRIPTION OF THE DRAWINGS

[0051] Attached Figure 1 It is a schematic diagram of eccentricity error of the present invention.

[0052] Attached Figure 2 Schematic diagram of probe offset error of the present invention.

[0053] Attached Figure 3 It is a schematic diagram of the probe radius error of the present invention.

[0054] Attached Figure 4 It is a schematic diagram of the tilt error of the probe support rod of the present invention.

[0055] Attached Figure 5 Schematic diagram of the tilt error of the present invention.

[0056] Attached Figure 6 Schematic diagram of vertical guide rail error of the present invention.

[0057] Attached Figure 7 Schematic diagram of horizontal guide rail error of the present invention.

[0058] Attached Figure 8 It is a measurement schematic diagram of the radial seven-offset error cylindrical profile measurement model of the present invention.

[0059] Attached Fig. 9 It is a cross-section measurement principle diagram of the radial seven-offset error cylindrical profile measurement model of the present invention.

[0060] Attached Fig.10 It is a flow chart of the method of the present invention. DETAILED DESCRIPTION

[0061] The technical solutions in the embodiments of the present invention will be described clearly and completely below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0062] A large rotary equipment tolerance allocation method based on shaft diameter bidirectional compensation, the large rotary equipment tolerance allocation method specifically comprising the following steps:

[0063] For the axial direction, the bidirectional seven-error component compensation model of the shaft diameter established above is used to analyze the transmission process of the positioning and orientation tolerances of the radial and axial measuring surfaces of the large-scale high-speed rotating equipment during assembly, and the transmission relationship of the center coordinates of the n-level equipment after assembly is determined, and the relationship between the eccentricity of the equipment after assembly and the positioning, orientation tolerances and rotation angles of each level of equipment is obtained; based on the objective function of the coaxiality tolerance, the probability density of the coaxiality tolerance of the n-level equipment is obtained, and finally the probability relationship between the radial eccentricity and axial verticality tolerance of each level of large-scale high-speed rotating equipment and the coaxiality tolerance of the final multi-level equipment is obtained, so as to realize the distribution of tolerances of large-scale high-speed rotating equipment.

[0064] Step 1: Establish a seven-parameter error cylindrical profile measurement model, wherein the seven parameters are specifically eccentricity error, probe offset error, probe radius error, probe support rod tilt error, tilt error, vertical guide rail tilt error and horizontal guide rail tilt error;

[0065] The eccentricity error is the distance that the fitting circle center deviates from the ideal circle center caused by the processing error;

[0066] The probe offset error refers to the amount by which the sensor probe deviates from the actual measurement direction;

[0067] The probe radius error will lead to an increase in radial and vertical errors, the increase being equal to the probe radius;

[0068] The inclination angle of the stylus support rod inclination error may cause a change in the surface runout value;

[0069] The horizontal guide rail inclination error is characterized by the inclination angle in the horizontal direction;

[0070] The vertical guide rail inclination error is characterized by an inclination angle in the vertical direction.

[0071] Step 2: Based on the measurement model of step 1, a simplified cylindrical profile measurement model with seven offset errors of shaft diameter is obtained by using power series expansion;

[0072] Step 3: Based on the simplified cylindrical profile measurement model of shaft diameter with seven offset errors in step 2, the eccentricity error of the measured surface is estimated to obtain the eccentricity error objective function of the measured component;

[0073] Step 4: Based on the objective function of the eccentricity error of the measured component in step 3, the probability density of the eccentricity error of the measuring surface and the probability relationship between the contact surface runout and the eccentricity error are obtained;

[0074] Step 5: Based on the probability density of the measuring surface eccentricity error in step 4 and the probability relationship between the contact surface runout and the eccentricity error, the tolerance allocation scheme of the measured parts of the large rotary equipment is obtained.

[0075] A large rotary equipment tolerance allocation method based on shaft diameter bidirectional compensation, wherein the seven-parameter error cylindrical profile measurement model in step 1 is divided into a radial seven-parameter error cylindrical profile measurement model and an axial seven-parameter error cylindrical profile measurement model; wherein the axial seven-parameter error cylindrical profile measurement model is specifically,

[0076] when In the range 0 to π:

[0077]

[0078] when In the range of π to 2π:

[0079]

[0080]

[0081] Where i and j are the i-th measuring point and j-th end face respectively;

[0082] The radial seven-parameter error cylindrical profile measurement model is the same as the axial seven-parameter error cylindrical profile measurement model. The radial seven-parameter error cylindrical profile measurement model is specifically:

[0083] when In the range 0 to π:

[0084]

[0085] when In the range of π to 2π:

[0086]

[0087]

[0088] Where i and j are the i-th measuring point and the j-th end face respectively.

[0089] A tolerance allocation method for large rotary equipment based on bidirectional compensation of shaft diameter is proposed. Based on the measurement model in step 1, a cylindrical profile measurement model with seven offset errors, namely, composite eccentricity, tilt, probe offset, probe radius, probe support tilt, horizontal and vertical guide rail tilt, is established. The final form of the seven offset error measurement model equation is obtained:

[0090]

[0091] Where p is the number of sampling sections, the number of sampling points in each section is n, P ij is the measuring point i of section j, O 11 and O 1jis the measurement rotation center of the bottom surface and section j, and the geometric centers of the bottom surface and section j of the measured object are O 21 and O 2j , the geometric axis inclination angle and the vertical guide rail inclination angle are γ and φ respectively.

[0092] e j , α j are the eccentricity and eccentricity angle of section j, respectively. The eccentricity error is coupled with the secondary eccentricity component caused by the initial eccentricity and tilt error. The tilt error γ will also cause the cross-sectional profile to be elliptical instead of a perfect circle. j is the angle between the major axis of the cross-sectional fitting ellipse and the initial measurement direction. The minor axis and major axis of the fitting ellipse are r oj and r lj ;d j is the sensor probe offset; the horizontal and vertical guide rail inclination errors are s j-v =L j ·tanw·sinτ ij and t j-v =z j ·tanφ·sinε ij This causes the probe to deviate, resulting in the measurement line not passing through the measurement rotation center, but generating an instantaneous rotation center O along the sampling angle. 3j ; Linear component of vertical guide rail inclination error in the measuring direction t j-m =z j ·tanφ·cosε ij , will affect the measurement results; when the above errors exist, the probe radius r and the errors interact with each other and will also affect the measurement. 4j is the probe center; is the tilt error of the probe support.

[0093] A large rotary equipment tolerance allocation method based on shaft diameter bidirectional compensation, wherein the simplified shaft diameter seven offset error cylindrical profile measurement model obtained by step 2 using power series expansion is specifically:

[0094] With d j +L j tanw sinτ ij +z j tanφsinε ij +e j sin(σ ij -α j ) is the expansion parameter, and ignoring the higher-order terms, the seven bias error measurement model can be obtained as follows:

[0095]

[0096] A tolerance allocation method for large-scale rotary equipment based on bidirectional compensation of shaft diameter, wherein step 3 specifically comprises generating 10,000 sets of radial eccentricity and axial perpendicularity data of various levels of large-scale high-speed rotary equipment according to the Monte Carlo method, rotating the rotation angles of various levels of large-scale high-speed rotary equipment, and then obtaining 10,000 sets of coaxiality parameters of multi-level equipment;

[0097] The step 4 specifically comprises obtaining a probability density function based on a distribution function drawn from the coaxiality parameters of the multi-stage equipment;

[0098] Specifically, step 5 is to obtain the probability relationship between the radial eccentricity and axial perpendicularity tolerances of each level of large-scale high-speed rotating equipment and the coaxiality tolerance (five microns) of the final multi-stage equipment, so as to realize the distribution of tolerances of large-scale high-speed rotating equipment.

[0099] A large-scale rotary equipment tolerance allocation method based on bidirectional compensation of shaft diameter, when the seven-parameter error cylindrical profile measurement model is established in step 1, the seven-parameter error components are first analyzed. Specifically, for the axial direction, it is considered that when the cylindrical component is measured, its own assembly surface processing error will cause the geometric center of the cylindrical component to be located in a non-ideal position. At the same time, since the axis of the rotating spindle of the measuring device and the axis of the cylindrical component itself cannot absolutely coincide, there will be an eccentric error during measurement. Figure 1 As shown in the figure, the eccentricity error will cause the axial measurement sampling angle of the cylindrical part to shift during measurement. The actual sampling angle offset is expressed as follows:

[0100]

[0101] where e 0 is the initial eccentricity, α is the corresponding eccentricity angle, r 0 is the fitting radius, σ' i is the actual sampling angle, σ i is the ideal sampling angle.

[0102] A tolerance allocation method for large rotary equipment based on bidirectional compensation of shaft diameter. During the measurement process, the measuring direction of the sensor cannot coincide with the sampling direction, resulting in a probe offset error of the sensor. Figure 2 As shown in the figure, this error is coupled with the offset error, which together causes the sampling angle to shift. Let d be the sensor probe offset, and the actual sampling angle offset is expressed as follows:

[0103]

[0104] A tolerance allocation method for large rotary equipment based on bidirectional compensation of shaft diameter. At the same time, because the sensor does not use the contact point between the probe and the cylindrical contour surface as the measuring point during measurement, but uses the center point of the sensor's spherical probe as the measuring point, the probe radius error r will be coupled in the measurement result. Figure 3As shown in the figure, the probe radius error will cause the axial profile verticality measurement value H to be too high. The actual verticality measurement value H' offset is expressed as follows:

[0105] ν i =H′-H=r.

[0106] A tolerance allocation method for large rotary equipment based on bidirectional compensation of shaft diameter. During measurement, the probe needs to deflect the sensor rod by a certain angle when it contacts the cylindrical contour. This will cause the probe support tilt error and the probe radius error to couple with each other, resulting in the surface runout Δz at the measuring point. i Too high (diagram as shown Figure 4 The surface runout value offset at the actual measuring point is expressed as follows:

[0107]

[0108] In addition, when the cylindrical component is placed, there is a certain processing error on the bottom surface, which will cause an angle between the axis of the cylindrical component itself and the axis of the rotating spindle, resulting in a tilt error of the cylindrical component coupled in the measurement model. This error will cause the axial profile verticality measurement value to be offset (see the schematic diagram). Figure 5 The actual verticality measurement value offset is expressed as follows: i -β| is in the range of 0 to π:

[0109]

[0110] When |σ′ i -β| in the range of π to 2π:

[0111]

[0112] Among them, r 0 is the sampling radius, γ is the inclination angle of the geometric axis, and β is the angle between the projection direction of the geometric axis on the measurement plane and the initial measurement direction.

[0113] A tolerance allocation method for large rotary equipment based on bidirectional compensation of shaft diameter. In addition, during the overall assembly measurement, the inclination of the vertical guide rail of the instrument will also affect it. After analysis, it can be seen that when there is an angle φ between the vertical guide rail and the rotary reference, it not only directly produces a linear error in the measurement result, but also has a component in the vertical measurement direction, such as Figure 6 As shown;

[0114] Assume ε ij is the angle with the measuring direction, then the height error caused by the inclination angle of the vertical guide is z j (1 / cosφ-1), the component in the horizontal measurement direction is z j·tanφ·cosε ij , and the other component is z j ·tanφ·sinε ij Causes probe deviation;

[0115] The horizontal guide rail inclination error affects the profile measurement in two directions: along the sampling height direction and along the vertical measurement direction. Assume that w is the horizontal guide rail inclination angle, L j is the motion length, τ ij is the angle with the vertical measurement direction, then the component in the sampling height direction is L j ·tanw·cosτ ij , the other component is L j ·tanw·sinτ ij This component causes the probe to deviate, which indirectly affects the measurement results. The schematic diagram is shown in Figure 7 shown.

Claims

1. A tolerance allocation method for large rotary equipment based on shaft diameter bidirectional compensation, characterized in that: The large rotary equipment tolerance allocation method specifically comprises the following steps: Step 1: Establish a seven-parameter error cylindrical profile measurement model; Step 2: Based on the measurement model of step 1, a simplified cylindrical profile measurement model with seven offset errors of shaft diameter is obtained by using power series expansion; Step 3: Based on the simplified cylindrical profile measurement model of shaft diameter with seven offset errors in step 2, the eccentricity error of the measured surface is estimated to obtain the eccentricity error objective function of the measured component; Step 4: Based on the objective function of the eccentricity error of the measured component in step 3, the probability density of the eccentricity error of the measuring surface and the probability relationship between the contact surface runout and the eccentricity error are obtained; Step 5: Based on the probability density of the measuring surface eccentricity error and the probability relationship between the contact surface runout and the eccentricity error in step 4, the tolerance allocation scheme of the measured parts of the large rotary equipment is obtained; The seven-parameter error cylindrical profile measurement model in step 1 is divided into a radial seven-parameter error cylindrical profile measurement model and an axial seven-parameter error cylindrical profile measurement model; wherein the axial seven-parameter error cylindrical profile measurement model is specifically, when In the range 0 to π: Among them, r0 is the sampling radius, L j is the motion length, w is the inclination angle of the horizontal guide rail, ε ij is the angle with the measurement direction, γ is the tilt error, β j is the angle between the major axis of the cross-section fitting ellipse and the initial measurement direction; when In the range of π to 2π: Among them, i and j are the i-th measuring point and the j-th end face respectively, β j is the angle between the major axis of the cross-section fitting ellipse and the initial measurement direction, d j is the offset of the sensor probe itself; σ ij is the ideal sampling angle corresponding to the measuring point i at the jth end face, ε ij is the angle with the measurement direction, e j , α j are the eccentricity and eccentricity angle of section j, r oj is the minor axis of the fitted ellipse, r ij is the major axis of the fitted ellipse; The radial seven-parameter error cylindrical profile measurement model is the same as the axial seven-parameter error cylindrical profile measurement model; Based on the measurement model in step 1, a cylindrical profile measurement model with seven offset errors, namely, composite eccentricity, tilt, probe offset, probe radius, probe support tilt, horizontal and vertical guide rail tilt, is established, and the final form of the seven offset error measurement model equation is obtained: Among them, p is the number of sampling sections, the number of sampling points in each section is n, P ij is the measuring point i of section j, O 11 and O 1j is the measurement rotation center of the bottom surface and section j, and the geometric centers of the bottom surface and section j of the measured object are O 21 and O 2j , the geometric axis inclination angle and the vertical guide rail inclination angle are γ and φ respectively; The simplified cylindrical profile measurement model of the shaft diameter with seven offset errors obtained by step 2 using power series expansion is specifically: With d j +L j tanw sinτ ij +z j tanφsinε ij +e j sin(σ ij -α j ) is the expansion parameter, and ignoring the higher-order terms, the seven bias error measurement model can be obtained as follows: Specifically, step 3 is to generate 10,000 sets of radial eccentricity and axial verticality data of each level of large-scale high-speed rotating equipment according to the Monte Carlo method, rotate the rotation angle of each level of large-scale high-speed rotating equipment, and then obtain 10,000 sets of coaxiality parameters of multi-level equipment; The step 4 specifically comprises obtaining a probability density function based on a distribution function drawn from the coaxiality parameters of the multi-stage equipment; Specifically, step 5 is to obtain the probability relationship between the radial eccentricity and axial perpendicularity tolerances of each level of large-scale high-speed rotating equipment and the coaxiality tolerance of the final multi-level equipment, so as to realize the distribution of tolerances of large-scale high-speed rotating equipment.

2. According to claim 1, a large rotary equipment tolerance allocation method based on shaft diameter bidirectional compensation is characterized in that: When the seven-parameter error cylindrical profile measurement model is established in step 1, the seven-parameter error components are first analyzed. Specifically, the eccentricity error will cause the axial measurement sampling angle of the cylindrical part to shift during measurement. The actual sampling angle shift is expressed as follows: Where e0 is the initial eccentricity, α is the corresponding eccentricity angle, r0 is the fitting radius, σ' i is the actual sampling angle, σ i is the ideal sampling angle.

3. According to claim 2, a large rotary equipment tolerance allocation method based on shaft diameter bidirectional compensation is characterized in that: Let d be the sensor probe offset, and its actual sampling angle offset is expressed as follows:

4. According to claim 3, a large rotary equipment tolerance allocation method based on shaft diameter bidirectional compensation is characterized in that: The probe radius error will cause the axial profile verticality measurement value H to be too high. The actual verticality measurement value H' offset is expressed as follows: n i =H′-H=r.

5. According to claim 4, a large rotary equipment tolerance allocation method based on shaft diameter bidirectional compensation is characterized in that: The surface runout value offset at the actual measuring point is expressed as follows: Actual verticality measurement value offset ν i The expression is as follows, when |σ i When ′-β| is in the range of 0 to π: When |σ i When ′-β| is in the range of π to 2π: Where r0 is the sampling radius, γ is the inclination angle of the geometric axis, β is the angle between the projection direction of the geometric axis on the measurement plane and the initial measurement direction; σ i ′ is the actual sampling angle, Δz i is the surface runout at the measuring point.

6. According to claim 5, a large rotary equipment tolerance allocation method based on shaft diameter bidirectional compensation is characterized in that: When there is an angle φ between the vertical guide and the rotary reference, it not only directly produces a linear error in the measurement result, but also has a component in the vertical measurement direction; Assume ε ij is the angle with the measuring direction, then the height error caused by the inclination angle of the vertical guide is z j (1 / cosφ-1), the component in the horizontal measurement direction is z j ·tanφ·cosε ij , and the other component is z j ·tanφ·sinε ij Causes probe deviation; Along the sampling height direction and along the vertical measurement direction; Assume w is the inclination angle of the horizontal guide rail, L j is the motion length, τ ij is the angle with the vertical measurement direction, then the component in the sampling height direction is L j ·tanw·cosτ ij , the other component is L j ·tanw·sinτ ij , which causes the probe to deflect.

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