CN106289085A - Device and method for testing axis intersection degree - Google Patents

Abstract

The invention provides a test method for axis intersecting degree. Firstly, the photoelectric autocollimator is adjusted to align the plane double-sided reflector; ; Rotate the horizontal axis of the turntable at intervals of 45°, rotate a total of 360°, and record the readings of the autocollimation theodolite; rotate the turntable, and the photoelectric autocollimator monitors the vertical axis of the turntable to rotate 180°, and adjust the double-sided mirror of the autocollimation theodolite to aim at the plane At the center of the crosshair image, record the readings of the autocollimation theodolite and then rotate the horizontal axis of the turntable at intervals of 45°, a total of 360°, record the readings of the autocollimation theodolite, and calculate the axis intersection degree according to the recorded data. The test method of the present invention adopts non-contact The two-axis intersection test method has high test accuracy, and the measurement method is not limited by the size of the standard mandrel.

Description

Axis Intersect Degree Test Device and Method

technical field

The invention relates to the field of axis intersection testing.

Background technique

Two-dimensional turntables are widely used in aerospace, aviation, shooting ranges and other fields. The intersection degree of axes is an important accuracy index of two-dimensional turntables, specifically referring to the minimum distance between the axes of space rotation axes.

The existing commonly used test method is the contact test method. In this method, the standard mandrel is installed on the tested rotating shaft, and the standard mandrel is adjusted to be coaxial with the tested rotating shaft. The dial indicator is fixed on another rotating shaft, and the head of the dial indicator is placed on the standard mandrel busbar to record the indicated value of the dial indicator; the two rotating shafts are rotated 180°, and the indicated value of the indicator is recorded again. Half of the difference between the two dial gauge readings is the axis intersection. This method is a contact test method, which is limited by the accuracy of the dial indicator, the roundness error of the standard mandrel and the installation error, which makes the test accuracy low, and the rotating shaft to be tested is limited by the size of the standard mandrel.

Contents of the invention

The object of the present invention is to provide an axis intersection testing device and method, which solves the problem of low precision of the contact testing method.

Technical solution of the present invention is:

An axis intersection testing device, which is special in that it includes an autocollimation theodolite, a photoelectric autocollimator and a reflector;

The photoelectric autocollimator and the autocollimation theodolite are arranged at both ends of the horizontal axis of the turntable;

The reflector is arranged on the horizontal axis of the turntable; the reflector is specifically located at the intersection of the vertical axis of the turntable through an orthogonal translation and the horizontal axis of the turntable; the above-mentioned reflector is a plane double-sided reflector.

In order to align the reflector with the self-collimating theodolite, the center of the above-mentioned reflector has a cross hair.

The present invention also provides a method for testing the intersecting degree of axes, comprising the following steps:

Step 1: Adjust the plane double-sided mirror so that the mirror surface of the plane double-sided mirror is perpendicular to the horizontal axis of the turntable; adjust the position of the crosshair of the plane double-sided mirror so that the reading of the autocollimation theodolite remains unchanged during the rotation of the horizontal axis of the turntable. That is, the center of the crosshair image coincides with the horizontal axis of the turntable;

Step 2: Adjust the photoelectric autocollimator, align the plane double-sided mirror, adjust the autocollimation theodolite to aim at the center of the reticle image of the plane double-sided mirror, and record the readings of the autocollimation theodolite (A ₁ , E ₁ );

Step 3: Rotate the horizontal axis of the turntable at intervals of 45° for a total of 360°. The plane double-sided mirror rotates with the horizontal axis of the turntable. Every time the horizontal axis of the turntable is rotated, adjust the auto-collimation theodolite so that the auto-collimation theodolite is aimed at the plane The center of the reticle image of the double-sided mirror, the recorded readings of the autocollimation theodolite are: (A ₂ , E ₂ ),...(A ₈ , E ₈ );

Step 4: The photoelectric autocollimator monitors the rotation of the vertical axis of the turntable by 180°, the horizontal axis of the turntable and the plane double-sided mirror rotate 180° following the vertical axis of the turntable, adjust the autocollimation theodolite to aim at the center of the crosshair image of the plane double-sided mirror, and record Autocollimation theodolite readings (A ₁ ′, E ₁ ′), and then rotate the horizontal axis of the turntable at 45° intervals, a total of 360° rotation, each time the turntable horizontal axis is rotated, adjust the autocollimation theodolite once, so that the autocollimation theodolite Aim at the center of the reticle image of the plane double-sided mirror, and record the readings of the autocollimation theodolite as: (A ₂ ′, E ₂ ′),…(A ₈ ′, E ₈ ′);

Step 5: Calculate the axis intersection degree by the following formula;

${\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; =</span>\frac{\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 5</span>}}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 5</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; )</span>}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; )</span>$

${\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; =</span>\frac{\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 6</span>}}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 6</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; )</span>}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; )</span>$

${\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; =</span>\frac{\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 7</span>}}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 3</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 7</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; )</span>}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; )</span>$

${\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}<span\; class="notranslate">\; =</span>\frac{\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 8</span>}}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 8</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; )</span>}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; )</span>$

θ _max = max(θ ₁ , θ ₂ , θ ₃ , θ ₄ ) (5)

ξ＝L·tan(θ _max /2) (6)

In the formula, L—the distance between the rotating axis of the autocollimating theodolite and the crosshair of the plane mirror;

ξ—axis intersection degree of the horizontal axis of the turntable and the horizontal axis of the turntable;

θ ₁ - the angle between the intersecting degree of the measured axis relative to the theodolite at the relative position of A ₁ and A ₅ ;

θ ₂ - the angle between the intersecting degree of the measured axis relative to the theodolite at the relative position of A ₂ and A ₆ ;

θ ₃ - the angle between the intersecting degree of the measured axis relative to the theodolite at the relative position of A ₃ and A ₇ ;

θ ₄ —The angle between the intersecting degree of the measured axes relative to the theodolite at the relative positions of A ₄ and A ₈ .

The beneficial effects of the present invention are:

The testing method of the invention adopts a non-contact two-axis intersection testing method, has high testing precision, and the measuring method is not limited by the size of a standard mandrel.

Description of drawings

Fig. 1 is a schematic diagram of the test method for axis intersection degree of the present invention;

Fig. 2 is a schematic diagram of the cross-hair surface of the mirror surface of the present invention.

Reference signs in the figure are: 1-photoelectric autocollimator; 2-plane double-sided mirror; 3-autocollimation theodolite; 4-horizontal axis of turntable; 5-vertical axis of turntable.

detailed description

The present invention will be further described below in conjunction with the accompanying drawings.

As shown in Figure 1, the axis intersection testing device of the present invention includes a photoelectric autocollimator 1 and an autocollimation theodolite 3 erected at both ends of the horizontal axis of the turntable, and a plane double-sided reflector with a crosshair image arranged on the horizontal axis of the turntable mirror, as shown in Figure 2.

The two adjacent rotary axes of the two-dimensional turntable have two working states, one is that one rotary axis is vertical and the other rotary axis is horizontal, and the other is that both rotary axes are horizontal. In the present invention, one rotary axis is vertical and the other is horizontal. Take the horizontal working state of the rotary axis as an example.

The specific test steps are as follows:

1) Translate the vertical axis of the turntable so that it is perpendicular to the horizontal axis of the turntable; set a plane double-sided mirror at the intersection of the horizontal axis of the turntable, and set up a photoelectric autocollimator and an autocollimation theodolite at both ends of the horizontal axis of the turntable .

2) Adjust the plane double-sided mirror so that the mirror surface of the plane double-sided mirror is perpendicular to the horizontal axis of the turntable; then adjust the position of the crosshair of the plane double-sided mirror so that the crosshair image is self-aligned twice before and after the horizontal axis of the turntable The readings of the straight theodolite are approximately equal. When the difference between the two readings is within the set difference range, the readings are considered equal, that is, the readings of the autocollimating theodolite remain unchanged when the horizontal axis of the turntable rotates.

3) Align the photoelectric autocollimator with the plane double-sided mirror, aim the autocollimation theodolite at the center of the crosshair image of the plane double-sided mirror, record the readings of the autocollimation theodolite (A ₁ , E ₁ ), and then press the horizontal axis of the turntable to 45° interval rotation (horizontal axis rotation, during which the photoelectric autocollimator and autocollimation theodolite are fixed), every 45° rotation, adjust the crosshair image of the autocollimation theodolite to align with the plane double-sided mirror, Record the readings of the autocollimation theodolite; the horizontal axis of the turntable rotates 360° in total; after 8 rotations, the readings of the autocollimation theodolite are recorded as (A ₂ , E ₂ ), ... (A ₈ , E ₈ ).

4) The photoelectric autocollimator monitors the 180° rotation of the vertical axis of the turntable. During this process, the horizontal axis of the turntable and the plane double-sided mirror rotate 180° following the vertical axis of the turntable; At the center of the image, record the readings of the autocollimation theodolite (A ₁ ′, E ₁ ′), and then rotate the horizontal axis of the turntable at 45° intervals (the photoelectric autocollimator and the autocollimation theodolite do not move during this process), and each rotation is 45°. °, adjust the autocollimation theodolite to align with the cross-hair image again, record the readings of the autocollimation theodolite, and the horizontal axis of the turntable rotates 360° in total; after 8 rotations, the readings of the autocollimation theodolite are respectively recorded as (A ₂ ′, E ₂ '), ... (A ₈ ', E ₈ ').

5) Data processing

${\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; =</span>\frac{\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 5</span>}}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 5</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; )</span>}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; )</span>$

${\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; =</span>\frac{\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 6</span>}}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 6</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; )</span>}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; )</span>$

${\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; =</span>\frac{\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 7</span>}}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 3</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 7</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; )</span>}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; )</span>$

${\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}<span\; class="notranslate">\; =</span>\frac{\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 8</span>}}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 8</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; )</span>}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; )</span>$

θ _max = max(θ ₁ , θ ₂ , θ ₃ , θ ₄ ) (5)

ξ＝L·tan(θ _max /2) (6)

In the formula, L—the distance between the rotating axis of the autocollimating theodolite and the crosshair of the plane mirror;

ξ—the intersection degree of the horizontal axis of the turntable and the horizontal axis of the turntable.

Claims (3)

1. An axis intersection testing device is characterized in that: comprising an autocollimation theodolite, a photoelectric autocollimator and a mirror; The photoelectric autocollimator and the autocollimation theodolite are erected at both ends of the horizontal axis of the turntable; The reflector is arranged on the horizontal axis of the turntable; The reflector is located at the intersection of the vertical axis of the turntable through an orthogonal translation and the horizontal axis of the turntable; the reflector is a plane double-sided reflector. 2. The axis intersection testing device according to claim 1, characterized in that: the reflector has a cross-hair image in the center. 3. A method for testing axis intersections using the axis intersection testing device according to claim 1, characterized in that: Include the following steps: Step 1: Adjust the plane double-sided mirror so that the mirror surface of the plane double-sided mirror is perpendicular to the horizontal axis of the turntable; adjust the position of the reticle image of the plane double-sided mirror so that when the turntable rotates on the horizontal axis, the reading of the autocollimation theodolite remains unchanged; Step 2: Adjust the photoelectric autocollimator to align with the plane double-sided mirror; adjust the autocollimation theodolite to aim at the center of the crosshair image of the plane double-sided mirror, and record the readings of the autocollimation theodolite (A ₁ , E ₁ ); Step 3: Rotate the horizontal axis of the turntable at intervals of 45° for a total of 360°. The plane double-sided mirror rotates with the horizontal axis of the turntable. Every time the horizontal axis of the turntable is rotated, adjust the auto-collimation theodolite so that the auto-collimation theodolite is aimed at the plane The center of the reticle image of the double-sided mirror, the recorded readings of the autocollimation theodolite are: (A ₂ , E ₂ ),...(A ₈ , E ₈ ); Step 4: Rotate the turntable, the photoelectric autocollimator monitors the vertical axis of the turntable to rotate 180°, the horizontal axis of the turntable and the plane double-sided mirror rotate 180° following the vertical axis of the turntable, and adjust the autocollimation theodolite to aim at the crosshair image of the plane double-sided reflector center, record the readings of the autocollimation theodolite (A ₁ ′, E ₁ ′), and then rotate the horizontal axis of the turntable at intervals of 45° for a total of 360°. Aim the collimating theodolite at the center of the reticle image of the plane double-sided mirror, and record the readings of the autocollimating theodolite as: (A ₂ ′, E ₂ ′),…(A ₈ ′, E ₈ ′); Step 5: Calculate the axis intersection degree by the following formula; ${\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; =</span>\frac{\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 5</span>}}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 5</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; )</span>}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; )</span>$ ${\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; =</span>\frac{\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 6</span>}}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 6</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; )</span>}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; )</span>$ ${\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; =</span>\frac{\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 7</span>}}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 3</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 7</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; )</span>}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; )</span>$ ${\mathrm{<span\; class="notranslate">\; \&theta;</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}<span\; class="notranslate">\; =</span>\frac{\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 8</span>}}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; A</span>}}_{\mathrm{<span\; class="notranslate">\; 8</span>}}^{<span\; class="notranslate">\; \&prime;</span>}<span\; class="notranslate">\; )</span>}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; )</span>$ θ _max = max(θ ₁ , θ ₂ , θ ₃ , θ ₄ ) (5) ξ＝L·tan(θ _max /2) (6) In the formula, L—the distance between the rotating axis of the autocollimating theodolite and the crosshair of the plane mirror; ξ—axis intersection degree of the horizontal axis of the turntable and the vertical axis of the turntable; θ ₁ - the angle between the intersecting degree of the measured axis relative to the theodolite at the relative position of A ₁ and A ₅ ; θ ₂ - the angle between the intersecting degree of the measured axis relative to the theodolite at the relative position of A ₂ and A ₆ ; θ ₃ - the angle between the intersecting degree of the measured axis relative to the theodolite at the relative position of A ₃ and A ₇ ; θ ₄ —The angle between the intersecting degree of the measured axes relative to the theodolite at the relative positions of A ₄ and A ₈ .