CN105277165A - Tooth surface equal interval sampling method used for improving gear measuring precision - Google Patents
Tooth surface equal interval sampling method used for improving gear measuring precision Download PDFInfo
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- CN105277165A CN105277165A CN201510703588.1A CN201510703588A CN105277165A CN 105277165 A CN105277165 A CN 105277165A CN 201510703588 A CN201510703588 A CN 201510703588A CN 105277165 A CN105277165 A CN 105277165A
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Abstract
The invention provides a tooth surface equal interval sampling method used for improving the gear measuring precision. In a gear measuring process, the problem that the tooth profile measuring precision of a gear measuring instrument is affected by the shortcomings of the existing data acquisition technology is solved, and the problem that corresponding error curve reference of tool and gear grinding is inaccurate is solved. The problems that addendum sampling points are sparser than dedendum sampling points and the tooth surface microscopic geometry cannot be integrally and truly reflected are solved. The gear measuring precision is improved. Error curves and actual tooth profile points are one-to-one corresponding for visual analysis, which is conducive to the gear error analysis and provides reference for gear tool grinding.
Description
Technical field
The invention belongs to gear measuring instrument detection field, relate to a kind of method improving gear measurement precision from flank of tooth equal interval sampling.
Background technology
As everyone knows, in gear measurement, the measurement of flank profile shape error is the main project of gear measurement.The gear measuring instrument of current domestic use is mostly based on electronics generate or mechanical generating principle, and flank of tooth data acquisition modes also mostly adopts involute flank equal interval sampling mode.Tooth error measures detailed process: when profile of tooth involute urve launches, C shaft driven gear Rotating with Uniform, and tangential balladeur train drives gauge head system at the uniform velocity to move forward and backward along X-axis.According to electronics generating principle, the gauge head system scan flank of tooth under theoretical TRAJECTORY CONTROL, now the mode of gauge head image data is involute urve equal interval sampling, and the data of gauge head system acquisition are tooth error data.Due to development and the application of photoelectric technology, computer technology, precise grating sensor and software engineering, current gear measuring instrument can meet the measuring accuracy of various gear, but involute urve equal interval sampling mode exists sampled point non-uniform phenomenon.Because involute urve each point curvature is different, main shaft turns over same angle
Δ φtime, gauge head in the distance of tip portion two sampled point than the distance of root portions two sampled point, as shown in Figure 1, be reflected on sampling number, namely tip portion is fewer than the sampling number of root portions, and this just just causes tooth root sampled point close, the sampling non-uniform phenomenon that tooth top sampled point is dredged.Flank of tooth sampling is uneven can not detect flank profil microcosmos geometric shape error complete and accurate, causes the irrationality of data processing.In Meshing Process of Spur Gear, tooth error affects the stationarity of transmission, tip portion is also the key factor affecting tooth error result, if because tooth top place sampled point is few, and omit taking of indivedual overproof point, tooth error result will certainly be affected, affect the scientific evaluation of gears meshing stable working sexual factor.In addition, in the reconditioning of hobcutter and gear, sometimes the curve with reference to tooth error shape truly can be reflected is needed, use the gear measuring instrument of said method sampling, point on the tooth error curve map provided not with the some one_to_one corresponding in actual profile of tooth, cause the overproof point that graph of errors shows can not find corresponding point on the flank of tooth, thus reduce the reference value of cutter and gear reconditioning.
Summary of the invention
The object of the present invention is to provide a kind of method improving gear measurement precision from flank of tooth equal interval sampling, can in gear measurement process, deficiency in current data acquisition technology is affected to the measuring accuracy problem of gear measuring instrument flank profil, and the problem that cutter, gear reconditioning are difficult to the corresponding error curve diagram of accurate reference is solved.
The present invention adopts following technical scheme to realize above-mentioned purpose: the method from flank of tooth equal interval sampling raising gear measurement precision of the present invention is as follows:
(1) select flank of tooth interval according to tooth-face roughness and sampling thheorem, give the gear sampling interval of 10 grades that gear measuring instrument relates to;
(2) sampling interval of the flank of tooth is resolved into length of run and angle of spread Two Variables, calculate each sampling interval of the flank of tooth
Δ S i corresponding angle of spread interval
Δ φ i and length of run interval
Δ L i ;
By
s=1/2r b φ 2 :
φ=(2S/r b )
1/2---------------------(formula 1),
By
Δ S=Δ S i -Δ S i-1 ;
i=1,2 ... n:
Δ S=1/2r b (
φ i-1 Δ φ i + Δ φ i 2 );
i=1,2 ... n------------(formula 2),
Formula 2 is deformed into:
Δ S=1/2r b Δ φ i (
φ i + φ i-1);
i=1,2 ... n--(formula 3),
The interval in the corresponding angle of spread and length of run is obtained by formula 1 and formula 3:
Δ φ i =(i 1/2 – (i-1) 1/2 ) (2 Δ S/r b )
1/2 i=1,2 ... n-----(formula 4),
Δ L i =(i 1/2 – (i-1) 1/2 ) (2 Δ Sr b )
1/2 i=1,2 ... n------(formula 5),
In formula:
r b------ involute urve base radius;
Δ φ i ---the
iindividual angle of spread interval;
Δ L i ---the
iindividual length of run interval.
(3) sampled point of Circular gratings is processed, specifically calculated the position of each sampled point by software according to sampling interval formula, by these sampled points compared with all sampling point positions of Circular gratings, select the point the most close with each sampling point position calculated, reformulate one group of sampled point.
(4) carrying out follow-up traditional process with gear measuring instrument to processing the new sampled data obtained, drawing tooth error curve and the error result of measurement.
The beneficial effect that the present invention obtains after adopting technique scheme is: solve the uneven problem brought of current most of gear measuring instrument sampling, comparatively tooth root sampled point is thin to compensate for tooth top sampled point, can not the problem of reaction flank of tooth microcosmos geometric shape of integrated facticity, be conducive to the raising of gear measurement precision; Graph of errors can with the intuitive analysis one to one of practical tooth each point, be more conducive to the error analysis of gear, better for the reconditioning of cutter for gear wheel provides reference.
Accompanying drawing explanation
The involute urve equal interval sampling schematic diagram that Fig. 1 adopts from the method for flank of tooth equal interval sampling raising gear measurement precision for the present invention.
The flank of tooth equal interval sampling schematic diagram that Fig. 2 adopts from the method for flank of tooth equal interval sampling raising gear measurement precision for the present invention.
Embodiment
Below in conjunction with accompanying drawing, the invention will be further described.Principle of operation of the present invention is: flank of tooth equal interval sampling illustrates, as shown in Figure 2.Flank of tooth equal interval sampling on flank of tooth involute urve cross section, determines a series of uniform sampling point in advance, when these backsteppings are upper to length of run (or angle of spread), can find out, the interval now in length of run (or angle of spread)
Δ L(or angle of spread interval
Δ φ) be unequal, length of run interval, tooth root place is maximum, more close to gear tip clearance every less, reach minimum at interval, tooth top place, but flank of tooth up-sampling interval
Δ Sequal.
The concrete grammar improving gear measurement precision from flank of tooth equal interval sampling is:
(1) sampling interval of flank of tooth equal interval sampling is selected according to tooth-face roughness and sampling thheorem
Δ S, the present embodiment combines the sampling interval that practice gives the gear of 10 grades that gear measuring instrument relates to, and sees the following form.
(2) as shown in Figure 2, the sampling interval of the flank of tooth is resolved into length of run and angle of spread Two Variables, calculate each sampling interval of the flank of tooth
Δ S i (
Δ S i =
Δ S, i=1,2 ... n), corresponding angle of spread interval
Δ φ i and length of run interval
Δ L i ;
By
s=1/2r b φ 2 :
φ=(2S/r b )
1/2---------------------(formula 1),
By
Δ S=Δ S i -Δ S i-1 ;
i=1,2 ... n?
Δ S=1/2r b (
φ i-1 Δ φ i + Δ φ i 2 );
i=1,2 ... n------------(formula 2),
Formula 2 is deformed into:
Δ S=1/2r b Δ φ i (
φ i + φ i-1);
i=1,2 ... n--(formula 3), is obtained the interval in the corresponding angle of spread and length of run by formula 1 and formula 3:
Δ φ i =(i 1/2 – (i-1) 1/2 ) (2 Δ S/r b )
1/2 i=1,2 ... n---(formula 4),
Δ L i =(i 1/2 – (i-1) 1/2 ) (2 Δ Sr b )
1/2 i=1,2 ... n------(formula 5),
In formula:
r b ---involute urve base radius;
Δ φ i ---the
iindividual angle of spread interval;
Δ L i ---
iindividual length of run interval;
In practical application, gear measuring instrument can be benchmark sampling with long grating, can be also the sampling of benchmark with Circular gratings.Circular gratings is the sample mode of benchmark, workable, is more conducive to sampling, so the present invention advises adopting Circular gratings to be the sample mode of benchmark.(3) sampled point of Circular gratings is processed.Specifically calculated the position of each sampled point according to sampling interval formula by software, by these points compared with all sampling point positions of Circular gratings, select the point the most close with each sampling point position calculated, reformulate one group of sampled point.
(4) gear measuring instrument carries out follow-up traditional process to processing the new sampled data obtained, and obtains tooth error curve and the error result of measurement.
Claims (1)
1. flank of tooth equal interval sampling improves a method for gear measurement precision, it is characterized in that: concrete grammar step is as follows:
[1] select flank of tooth interval according to tooth-face roughness and sampling thheorem, give the gear sampling interval of 10 grades that gear measuring instrument relates to;
[2] sampling interval of the flank of tooth is resolved into length of run and angle of spread Two Variables, calculate each sampling interval of the flank of tooth
Δ S i corresponding angle of spread interval
Δ φ i and length of run interval
Δ L i ;
By
s=1/2r b φ 2 :
φ=(2S/r b )
1/2------------(formula 1),
By
Δ S=Δ S i -Δ S i-1 ;
i=1,2 ... n:
Δ S=1/2r b (
φ i-1 Δ φ i + Δ φ i 2 );
i=1,2 ... n-----------(formula 2),
Formula 2 is deformed into:
Δ S=1/2r b Δ φ i (
φ i + φ i-1);
i=1,2 ... n---------(formula 3),
The interval in the corresponding angle of spread and length of run is obtained by formula 1 and formula 3:
Δ φ i =(i 1/2 – (i-1) 1/2 ) (2 Δ S/r b )
1/2 i=1,2 ... n---------(formula 4),
Δ L i =(i 1/2 – (i-1) 1/2 ) (2 Δ Sr b )
1/2 i=1,2 ... n---------(formula 5),
In formula:
r b------ involute urve base radius;
Δ φ i ---the
iindividual angle of spread interval;
Δ L i ---the
iindividual length of run interval;
[3] sampled point of Circular gratings is processed, specifically calculated the position of each sampled point by software according to sampling interval formula, by these sampled points compared with all sampling point positions of Circular gratings, select the point the most close with each sampling point position calculated, reformulate one group of sampled point;
[4] carrying out follow-up traditional process with gear measuring instrument to processing the new sampled data obtained, drawing tooth error curve and the error result of measurement.
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107255562A (en) * | 2017-06-09 | 2017-10-17 | 江苏大学 | The establishing method of Circular gratings sample frequency in gear train assembly torsional vibration measurement experiment |
| CN110285751A (en) * | 2019-05-28 | 2019-09-27 | 中国北方车辆研究所 | Automate ring shaped multi-tooth component bottom of the tooth axial surface roughness measuring instrument |
| CN110608879A (en) * | 2018-05-29 | 2019-12-24 | 江苏毅合捷汽车科技股份有限公司 | Measuring method of gear parts |
| CN111288936A (en) * | 2020-03-03 | 2020-06-16 | 深圳市海翔铭实业有限公司 | Measurement and evaluation method for roughness of meshing contact surface of cylindrical gear |
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107255562A (en) * | 2017-06-09 | 2017-10-17 | 江苏大学 | The establishing method of Circular gratings sample frequency in gear train assembly torsional vibration measurement experiment |
| CN110608879A (en) * | 2018-05-29 | 2019-12-24 | 江苏毅合捷汽车科技股份有限公司 | Measuring method of gear parts |
| CN110608879B (en) * | 2018-05-29 | 2021-05-25 | 江苏毅合捷汽车科技股份有限公司 | Measuring method of gear parts |
| CN110285751A (en) * | 2019-05-28 | 2019-09-27 | 中国北方车辆研究所 | Automate ring shaped multi-tooth component bottom of the tooth axial surface roughness measuring instrument |
| CN111288936A (en) * | 2020-03-03 | 2020-06-16 | 深圳市海翔铭实业有限公司 | Measurement and evaluation method for roughness of meshing contact surface of cylindrical gear |
| CN111288936B (en) * | 2020-03-03 | 2021-02-09 | 深圳市海翔铭实业有限公司 | Measurement and evaluation method for roughness of meshing contact surface of cylindrical gear |
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