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The application of the third-order plane function in the mathematical alignment of small plane parts

the third-order plane is usually called a virtual plane, which is used for the measurement or calculation of surface elements with arbitrary orientation in space. However, before data processing, the system needs to give a theoretical distance for the translation of three sampling points respectively. When the theoretical distance is "0", the system calculates a three-point plane. Obviously, it and plane are both twin brothers and have their unique functions. Practice has proved that the special functions of this ultra-high strength bolt experimental fixture, mainly tensile experimental fixture and wedge load experimental fixture, make the mathematical alignment of some parts more accurate and convenient. The following are two application examples for mathematical alignment of small plane parts

example 1. Establish the second axis of the part reference system by measuring a third-order plane

it is known from the figure that each coordinate position is relative to the intersection of the axis line of the cylindrical hole and its end face, a/B/C is the end face of three holes, and B/C is coplanar and parallel to a. The parts are aligned and the calibration coefficient is saved in the computer. The internal process is as follows:

1 Measure the inner cylinder, establish the first axis of the part reference system, and clear the axis of the cylinder

2. Adjust the third-order plane function, measure a point on the end face of the three holes a/B/OK C, and use the results to establish the second axis of the part reference system

example 2. Establish the second axis of the part reference system by constructing a third-order plane

from the diagram, we can know whether each coordinate position is relative to the intersection of the cylindrical hole axis line to its end face @8, and whether each speed runs uniformly@ 9. Whether the operation of each speed is normal; Point, a is the end face of the hole, and the part alignment process is as follows:

1 Measure the inner cylinder, establish the first axis of the part reference system, and clear the axis of the cylinder

2. Measure the two end faces of the cylindrical hole and calculate their intersection p1/p2 with the axis line of the cylindrical hole respectively

3. Measure plane a and store its measurement results in a unit

4. The third-order plane is constructed through the measurement results of the two intersection points p1/p2 and plane a, and then the second axis of the part reference system is established based on the results

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