CN115112010A - Non-parallel symmetrical metal plane gap measuring method based on eddy current measurement - Google Patents
Non-parallel symmetrical metal plane gap measuring method based on eddy current measurement Download PDFInfo
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- CN115112010A CN115112010A CN202210802697.9A CN202210802697A CN115112010A CN 115112010 A CN115112010 A CN 115112010A CN 202210802697 A CN202210802697 A CN 202210802697A CN 115112010 A CN115112010 A CN 115112010A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B7/00—Measuring arrangements characterised by the use of electric or magnetic techniques
- G01B7/14—Measuring arrangements characterised by the use of electric or magnetic techniques for measuring distance or clearance between spaced objects or spaced apertures
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B7/00—Measuring arrangements characterised by the use of electric or magnetic techniques
- G01B7/02—Measuring arrangements characterised by the use of electric or magnetic techniques for measuring length, width or thickness
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Abstract
The invention discloses a non-parallel symmetrical metal plane gap measuring method based on eddy current measurement, which comprises the following steps: s1, measuring the distance from a group of sensor probes to the measured non-parallel symmetrical metal surface; the group of sensors are two eddy current displacement sensors which are opposite to each other; s2, obtaining the distance between the group of sensor probes, and calculating the non-parallel symmetrical metal plane gap of the measuring point of the group of sensors; s3, obtaining the non-parallel symmetrical metal plane gaps of a plurality of measuring points; s4, solving a fitting plane equation through a least square method based on the non-parallel symmetrical metal plane gap data of a plurality of measuring points; and S5, fitting the whole non-parallel symmetrical metal plane gap according to the fitting plane equation. Because the eddy current displacement sensor senses the relative position and processes the relative position into a corresponding electric signal to be output, the invention has the advantages of high measurement precision, strong anti-interference capability, non-contact measurement, high response speed and no influence of factors such as oil and water and the like.
Description
Technical Field
The invention belongs to the technical field of measurement, and particularly relates to a non-parallel symmetrical metal plane gap measurement method based on eddy current measurement.
Background
For non-parallel symmetrical metal plane clearance measurement, for example, gasbag isolator gasket thickness measurement, the traditional measurement mode is manual measurement, measures the interval of raft frame lower installation face and base installation face through the mechanical ruler, subtracts the height of gasbag isolator to obtain adjustment gasket thickness, main measuring tool is calliper, micrometer, slide caliper etc..
The current practical measurement method is to measure only four points at the corners of the mounting surface, then determine the thickness of the spacer according to the three-point surface forming basic principle, pre-mount the spacer after the manufacturing is finished, and then manually grind and process the spacer until the mounting of the airbag vibration isolator meets the low-noise mounting requirement. The adjusting shim manufactured by the mechanical ruler measuring method mainly has the following problems: firstly, because manual mechanical measurement is adopted, the measurement precision cannot be ensured, the manufacturing error of the adjusting gasket is large, and the installation of the raft frame and equipment is influenced; secondly, since the measuring and sampling points of the adjusting shim are only four points, the reconstruction of the shim mounting surface is only determined by three points, and the effective contact between the adjusting shim mounting surface and the mounting surface cannot be ensured; the labor intensity of workers is high, the efficiency is low, and errors are easy to occur.
Therefore, in order to improve the quality and efficiency of the airbag installation, the development of the airbag gasket measurement and the measurement method of the gap between the non-parallel symmetrical metal planes are urgent and important.
Disclosure of Invention
The invention aims to provide a non-parallel symmetrical metal plane gap measuring method based on eddy current measurement, so as to effectively solve the problems of large workload, low efficiency, large measuring error and low measuring precision of manual measurement of the non-parallel symmetrical metal plane gap.
In order to achieve the purpose, the invention provides the following technical scheme:
the non-parallel symmetrical metal plane gap measuring method based on the eddy current measurement comprises the following steps:
step S1, detecting a group of sensor probes to be detectedMeasuring the distance of the metal surface, i.e. h 1 、h 2 ；
Step S2, calculating the gap of the non-parallel symmetrical metal plane of the measuring point: h ═ H 1 +h 2 +h 3 ；
Step S3, repeating the steps S1 to S2 until non-parallel symmetrical metal plane gaps of all measuring points are obtained;
step S4, based on the non-parallel symmetrical metal plane gap data of all measuring points, a fitting plane equation is obtained through a least square method: z is ax + by + c;
and step S5, fitting the whole non-parallel symmetrical metal plane gap.
According to the technical scheme, one group of sensors are two sensors, the positions of the sensors are vertically corresponding, namely, on one measuring point, the two sensors respectively measure the distance from the sensor probe to the metal surface to be measured closest to the sensor probe.
According to the technical scheme, the plane measuring point has the following characteristics: as many as possible, not less than three, evenly distributed; that is, the mounting position of each group of sensors is uniformly distributed with at least three groups of sensors, so that a plane equation can be more accurately fitted.
According to the technical scheme, after the upper computer receives the sensor signals, the X-Y-Z coordinate axes are established, Z is the metal plane gap, and X, Y, Z axis coordinates of all the measuring points are stored into an array respectively.
According to the above technical solution, the general plane equation in step S4 is: AX + BY + CZ + D is 0, C is not equal to 0. The step of solving the fitting plane by adopting the least square method comprises the following steps:
from the plane equation:
order to
The original plane equation is converted into: z is ax + by + c;
from the least squares method, an error function S ═ Sigma (ax) is constructed i +by i +c-z i ) 2 To minimize the value of S, i.e. the distance from each point to the plane, the following should be satisfied:
that is to say that
Is finished to obtain
Changing it into a matrix equation:
and substituting X, Y, Z values of each measuring point into a matrix equation, solving equation coefficients a, b and c to obtain a plane equation z which is ax + by + c, and fitting the whole non-parallel symmetrical metal plane gap according to the plane equation.
Compared with the prior art, the invention has the following advantages and beneficial effects:
the invention uses several groups of electric eddy current displacement sensors to measure the relative position of the metal object to be measured and the probe end, adds the height between the probes of the group of sensors to obtain the non-parallel symmetrical metal plane gap of the measuring point, uses the least square method to calculate the plane equation which makes the distance between each point and the plane shortest, and fits the whole plane gap to be measured.
The eddy current displacement sensor is used for sensing the relative position and processing the relative position into a corresponding electric signal for output, so that the invention has the advantages of high sensitivity, strong anti-interference capability, non-contact measurement, high response speed and no influence of factors such as oil and water; the method solves the problems of high difficulty, large workload and low measurement precision of manual measurement on the non-parallel symmetrical metal plane gap.
Drawings
FIG. 1 is a measurement schematic diagram of a non-parallel symmetrical metal plane gap measurement method based on eddy current measurement;
FIG. 2 is a flow chart of a non-parallel symmetrical metal plane gap measurement method based on eddy current measurement.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. In addition, the technical features involved in the embodiments of the present invention described below may be combined with each other as long as they do not conflict with each other.
As shown in fig. 1 and fig. 2, the method for measuring a non-parallel symmetric metal plane gap based on eddy current measurement according to the embodiment of the present invention includes the following specific steps:
step S1, measuring the distance between a group of sensor probes and the surface of the measured metal, namely h 1 、h 2 (ii) a The group of sensors are two sensors, the positions of the sensors are up-down corresponding, namely, on a measuring point, two sensors are used for measuring the distance from a sensor probe to the nearest metal surface to be measured;
step S2, calculating the gap of the non-parallel symmetrical metal plane of the measuring point: h ═ H 1 +h 2 +h 3 ；
S3, obtaining the non-parallel symmetrical metal plane gaps of a plurality of measuring points;
steps S1 to S2 may be repeated until non-parallel symmetric metal plane gaps of all the stations are obtained; a plurality of groups of sensor probes can be arranged to simultaneously obtain the non-parallel symmetrical metal plane gaps of a plurality of measuring points;
step S4, based on the non-parallel symmetrical metal plane gap data of all measuring points, a fitting plane equation is obtained through a least square method: z is ax + by + c;
and step S5, fitting the whole non-parallel symmetrical metal plane gap.
According to the technical scheme, the plane measuring point has the following characteristics: as many as possible, not less than three, evenly distributed; that is, the mounting positions of each group of sensors are uniformly distributed with at least three groups of sensors, so that a plane equation can be fitted more accurately.
According to the technical scheme, the non-parallel symmetrical metal plane gap H: the distance h measured by the group of sensor probes 1 to the measured surface 1 1 The distance h to the measured surface 2 measured by the sensor probe 2 2 Distance h between the group of sensor probes 3 I.e. H ═ H 1 +h 2 +h 3 。
According to the technical scheme, after the upper computer receives the sensor signals, the X-Y-Z coordinate axes are established, Z is the metal plane gap, and X, Y, Z axis coordinates of all the measuring points are stored into an array respectively.
According to the above technical solution, the general plane equation in step S4 is: AX + BY + CZ + D is 0, C is not equal to 0. The step of solving the fitting plane by adopting a least square method comprises the following steps:
from the plane equation:
order to
The original plane equation is converted into: z is ax + by + c;
from the least squares method, an error function S ═ Sigma (ax) is constructed i +by i +c-z i ) 2 To minimize the value of S, i.e. the distance from each point to the plane, the following should be satisfied:
that is to say that
Is finished to obtain
Changing it into a matrix equation:
and (3) substituting X, Y, Z values of each measuring point into a matrix equation, solving equation coefficients a, b and c to obtain a plane equation z which is ax + by + c, and fitting the whole non-parallel symmetrical metal plane gap according to the plane equation.
To sum up, in order to solve the problems of complicated manual measurement steps, low measurement precision, high measurement difficulty and difficult storage, the invention discloses a non-parallel symmetrical metal plane gap measurement method based on eddy current measurement, which comprises the following steps: measuring the distance from one point of the metal measured object plane to the sensor probe to obtain the distance of the symmetrical metal plane gap of the measured point; the distance between the group of sensor probes is added with the distance between the sensor probes and the metal plane, which is respectively measured by the group of sensors. And obtaining a fitting plane equation through a least square algorithm according to the plurality of groups of measured data, so as to fit the plane gaps of other coordinate points of the non-parallel symmetrical metal, complete the measurement and store the measurement and analysis results. The method is used for measuring the non-parallel symmetrical metal plane gap, and the eddy current displacement sensor senses the relative position and processes the relative position into a corresponding electric signal to be output, so that the method has the advantages of high measurement precision, strong anti-interference capability, non-contact measurement, high response speed and no influence of factors such as oil water and the like.
It will be understood by those skilled in the art that the foregoing is merely a preferred embodiment of the present invention, and is not intended to limit the invention, and that any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included within the scope of the present invention.
Claims (2)
1. A non-parallel symmetrical metal plane gap measuring method based on eddy current measurement is characterized by comprising the following steps:
s1, measuring the distance between a group of sensor probes and the measured non-parallel symmetrical metal surface, namely h 1 And h 2 (ii) a The group of sensors are two eddy current displacement sensors which are opposite to each other;
s2, acquiring the distance h between the probes of the group of sensors 3 Calculating the measurement of the group of sensorsNon-parallel symmetrical metal plane gap H ═ H of point 1 +h 2 +h 3 ；
S3, obtaining the non-parallel symmetrical metal plane gaps of a plurality of measuring points;
s4, based on the non-parallel symmetrical metal plane gap data of all the measuring points, obtaining a fitting plane equation z as ax + by + c through a least square method; the method comprises the following specific steps:
setting the positions of the measuring points as X and Y, and setting the non-parallel symmetrical metal plane gap of the measuring points as Z;
obtaining the following result according to a plane equation AX + BY + CZ + D which is 0, C is not equal to 0:
order to
The original plane equation is converted into: z is ax + by + c;
from the least squares method, an error function S ═ Sigma (ax) is constructed i +by i +c-z i ) 2 To minimize the value of S, i.e. the distance from each point to the plane, the following should be satisfied:
namely:
wherein i is a measuring point number;
is finished to obtain
Changing the equation into a matrix equation:
substituting X, Y, Z values of each measuring point into a matrix equation to obtain equation coefficients a, b and c to obtain a plane equation z which is ax + by + c;
and S5, fitting the whole non-parallel symmetrical metal plane gap according to the fitting plane equation.
2. The method for measuring the gap between the non-parallel symmetrical metal planes based on the eddy current measurement as claimed in claim 1, wherein the number of the measuring points is not less than three and the positions of the measuring points are uniformly distributed.
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| CN202210802697.9A CN115112010A (en) | 2022-07-07 | 2022-07-07 | Non-parallel symmetrical metal plane gap measuring method based on eddy current measurement |
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| CN202210802697.9A CN115112010A (en) | 2022-07-07 | 2022-07-07 | Non-parallel symmetrical metal plane gap measuring method based on eddy current measurement |
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