CN117722923A - Mapping method for macroscopic parameters of involute cylindrical gear - Google Patents

Abstract

The invention discloses a mapping method of macroscopic parameters of an involute cylindrical gear, which comprises the following steps: s1, counting the number of teeth of a gear, and measuring the tooth width of the gear, the diameter of a tooth top circle and the diameter of a tooth root circle; s2, measuring the span rod distance of the gear by using two groups of measuring rods with different diameters; s3, measuring the axial tooth pitch of the gear; s4, measuring the full tooth height of the gear, dividing the measurement result by 1 and by 3 respectively, and merging and finishing; s4, measuring the helix angle of the gear, and respectively adding and subtracting 5 degrees after the measurement result element is integrated into an integer; s5, using computer programming, circularly calculating, and finding out the combination of parameters such as normal modulus, normal pressure angle, spiral angle and the like which are matched with the measured data; and S6, calculating other parameters of the gear to be measured on the basis of the parameter combination matched with the S1 to the S5. According to the invention, the macroscopic parameters of the gear are calculated by utilizing computer programming, so that mapping personnel are liberated from repeated and tedious calculation processes, and the mapping efficiency is improved.

Description

Mapping method for macroscopic parameters of involute cylindrical gear

Technical Field

The invention relates to the technical field of involute cylindrical gear mapping, in particular to a mapping method for macroscopic parameters of an involute cylindrical gear.

Background

The gear parameter mapping is beneficial to digestion and absorption of advanced technology at home and abroad and repair of a failure gear, and along with the progress of gear design technology, in many industries, gear parameter design has abandoned the design habit of taking a standard value, so that the traditional mapping method of leaning on the standard value is not suitable for gears with nonstandard designs, especially high-precision gears with nonstandard designs.

The traditional method for mapping gears requires measuring the length of common normal, and the method has the following limitations:

1, the helical gear with narrow width is not applicable;

2, the common normal measurement accuracy is limited, taking a spur gear with a modulus of 2, a tooth number of 20 and a pressure angle of 20 degrees as an example, when the tooth thickness changes by 0.01mm, the common normal length only changes by 0.0094mm, and the cross bar distance changes by more than 0.02mm.

Of course, modern relatively advanced gear meters have unknown gear mapping functions, however, such gear meters are relatively costly, not all gear manufacturing plants have this type of equipment, and the various results of such gear meters are typically many decimal places and cannot be used directly, so the prior art has limitations in either the mapping method or the mapping equipment.

Disclosure of Invention

Aiming at the defects of the prior art, the invention provides a mapping method for macroscopic parameters of an involute cylindrical gear.

The technical scheme for solving the technical problems is as follows:

a mapping method of macroscopic parameters of an involute cylindrical gear comprises the following steps:

s1, counting the number of teeth of a gear, and measuring the tooth width, the tooth top circle diameter and the tooth root circle diameter of the gear;

s2, selecting two groups of measuring rods with different diameters, marking the diameters of the measuring rods as dp1 and dp2 respectively, measuring the gear span by using the two groups of measuring rods with different diameters, and marking the measurement results as M1 and M2;

s3, measuring the axial tooth distance of the gear by using a lathe or a milling machine, and recording the axial tooth distance of the gear as px;

s4, measuring the full tooth height of the gear teeth by using a caliper, dividing the measurement result by 1 and dividing by 3 respectively, and performing element integration, wherein the element integration precision is consistent with the first trial calculation step length Mn_step as an upper limit Mn_max and a lower limit Mn_min of a modulus, measuring the spiral angle of the gear by using an angle ruler, adding and subtracting 5 degrees after the measurement result element is integrated to an integer, and the element integration precision is consistent with the second trial calculation step length beta_step as an upper limit beta_max and a lower limit beta_min of the spiral angle, wherein the pressure angle upper limit an_max of the gear is 30 degrees, the lower limit an_min is 15 degrees, and the element integration precision is consistent with the third trial calculation step length an_step;

s5, giving a mapping tolerance eps_px of the axial tooth pitch and a mapping tolerance eps_s of the tooth thickness, wherein the mapping tolerance eps_px of the axial tooth pitch and the mapping tolerance eps_s of the tooth thickness are marked;

s6, utilizing computer programming to calculate the axial tooth pitch px_cal and the tooth thicknesses corresponding to the bar spans M1 and M2 under various parameter combinations, wherein the tooth thickness corresponding to the bar span M1 is recorded as s1_cal, and the tooth thickness corresponding to the bar span M2 is recorded as s2_cal;

s7, calculating an absolute value delta px of a difference value between the axial tooth pitch px_cal and the measured axial tooth pitch px and an absolute value delta S of a difference value between the tooth thicknesses s1_cal and s2_cal, and outputting a parameter combination meeting the condition of delta px < eps_px and delta S < eps_s as a qualified mapping result.

Further, in the step S4, the first trial calculation step length Mn_step takes a value of 0.01mm or 0.05mm, the second trial calculation step length beta_step takes a value of 0.1 DEG or 0.5 DEG, and the third trial calculation step length takes a value of 0.1 DEG or 0.5 deg.

Further, the specific calculation step in S6 is as follows:

(1) Calculating the axial tooth pitch px_cal by using the calculated modulus and the calculated spiral angle;

(2) And calculating the tooth thickness s1 cal corresponding to the span M1 and the tooth thickness s2 cal corresponding to the span M2 by using the number of teeth, the actually measured span M1 and M2, the calculated modulus, the calculated pressure angle and the calculated helix angle.

The beneficial effects of the invention are as follows:

1. breaks through the mapping habit of leaning on the standard value, and is suitable for gear mapping of more and more common non-standard parameters;

2. computer programming is utilized to liberate mapping personnel from repeated and tedious calculation processes, programming thought is simple and clear, the requirement on the programming capability of gear mapping personnel is low, and mapping efficiency is improved.

3. The method has high program flexibility, and can output the result meeting the requirements by simply adjusting the program parameters according to the mapping conditions, the measurement accuracy and the mapping requirements.

Drawings

FIG. 1 is a flow chart of a mapping method of macroscopic parameters of an involute cylindrical gear of the present invention;

fig. 2 is a computer program flow chart of the present invention.

Description of the embodiments

The invention is further described with reference to the drawings and detailed description.

As shown in fig. 1 and 2, a mapping method of macroscopic parameters of an involute cylindrical gear includes the following steps:

s1, counting the number of teeth of a gear, and measuring the tooth width, the tooth top circle diameter and the tooth root circle diameter of the gear;

s2, selecting two groups of measuring rods with different diameters, marking the diameters of the measuring rods as dp1 and dp2 respectively, measuring the gear span by using the two groups of measuring rods with different diameters, and marking the measurement results as M1 and M2;

s3, measuring the axial tooth distance of the gear by using a lathe or a milling machine, and recording the axial tooth distance of the gear as px;

s4, measuring the full tooth height of the gear teeth by using a caliper, dividing the measurement result by 1 and dividing by 3 respectively, and performing element integration, wherein the element integration precision is consistent with the first trial calculation step length Mn_step as an upper limit Mn_max and a lower limit Mn_min of a modulus, measuring the spiral angle of the gear by using an angle ruler, adding and subtracting 5 degrees after the measurement result element is integrated to an integer, and the element integration precision is consistent with the second trial calculation step length beta_step as an upper limit beta_max and a lower limit beta_min of the spiral angle, wherein the pressure angle upper limit an_max of the gear is 30 degrees, the lower limit an_min is 15 degrees, and the element integration precision is consistent with the third trial calculation step length an_step;

s5, giving a mapping tolerance eps_px of the axial tooth pitch and a mapping tolerance eps_s of the tooth thickness, wherein the mapping tolerance eps_px of the axial tooth pitch and the mapping tolerance eps_s of the tooth thickness are marked;

s6, utilizing computer programming to calculate the axial tooth pitch px_cal and the tooth thicknesses corresponding to the bar spans M1 and M2 under various parameter combinations, wherein the tooth thickness corresponding to the bar span M1 is recorded as s1_cal, and the tooth thickness corresponding to the bar span M2 is recorded as s2_cal;

s7, calculating an absolute value delta px of a difference value between the axial tooth pitch px_cal and the measured axial tooth pitch px and an absolute value delta S of a difference value between the tooth thicknesses s1_cal and s2_cal, and outputting a parameter combination meeting the condition of delta px < eps_px and delta S < eps_s as a qualified mapping result.

In the step S4, the value of the first trial calculation step length Mn_step is 0.01mm or 0.05mm, the value of the second trial calculation step length beta_step is 0.1 degrees or 0.5 degrees, and the value of the third trial calculation step length is 0.1 degrees or 0.5 degrees.

The specific calculation step in the step S6 is as follows:

(1) Calculating the axial tooth pitch px_cal by using the calculated modulus and the calculated spiral angle;

(2) And calculating the tooth thickness s1 cal corresponding to the span M1 and the tooth thickness s2 cal corresponding to the span M2 by using the number of teeth, the actually measured span M1 and M2, the calculated modulus, the calculated pressure angle and the calculated helix angle.

Specifically, in order to reduce the influence of the measurement error, the difference in diameter between dp1 and dp2 is large.

Specifically, when the measurement accuracy of the axial tooth pitch and the cross bar pitch is high, the mapping tolerance eps_px of the axial tooth pitch and the mapping tolerance eps_s of the tooth thickness take smaller values, whereas take larger values, and in order to reduce the number of low-quality alternatives, the measurement accuracy needs to be improved, so that the smaller mapping tolerance can be set, and the calculation result with larger deviation is eliminated in the computer program.

Specifically, after mapping out parameters of teeth, writing a computer program, and mapping out macroscopic parameters of the cylindrical gear through the computer program, wherein the computer program is specifically as follows:

specifically, the computer program body is of a three-layer circulating structure, the outermost layer is a normal modulus, the normal modulus starts from Mn_min, mn_step is taken as a step length, and the circulation is stopped from Mn_max; the middle layer starts from an_min for normal pressure angle, takes an_step as step length, and circulates to an_max to stop; the innermost layer is the spiral angle, starts from beta_min, takes beta_step as step length, circulates to beta_max to stop, calculates the axial tooth pitch px_cal and the tooth thicknesses s1_cal and s2_cal corresponding to the cross bar pitches M1 and M2 of the circulating variable under all combinations, calculates the absolute value of the difference value between the axial tooth pitch px_cal and the actually measured axial tooth pitch px and the absolute value of the difference value between the tooth thicknesses s1_cal and s2_cal, and outputs the parameter combination of which the absolute value of the two difference values is smaller than the corresponding tolerance as a qualified mapping result.

Specifically, after obtaining a qualified mapping result, a mapping personnel selects a set of parameter combinations from the qualified mapping result as a final parameter scheme, and if mapping work of the paired gears is performed in parallel, the selected parameter combinations must have the same normal modulus, normal pressure angle and helix angle.

Specifically, the final parameter scheme is used for calculating the parameters of the whole set of gears, including the tooth top coefficient, the tooth top clearance coefficient, the displacement coefficient and the like.

Finally, it should be explained that: the above embodiments are merely illustrative of the preferred embodiments of the present invention, and not limiting the scope of the present invention; although the invention has been described in detail with reference to the foregoing embodiments, it will be appreciated by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some or all of the technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit of the corresponding technical solutions.

Claims (3)

1. The mapping method of the macroscopic parameters of the involute cylindrical gear is characterized by comprising the following steps of:

s1, counting the number of teeth of a gear, and measuring the tooth width, the tooth top circle diameter and the tooth root circle diameter of the gear;

s2, selecting two groups of measuring rods with different diameters, marking the diameters of the measuring rods as dp1 and dp2 respectively, measuring the gear span by using the two groups of measuring rods with different diameters, and marking the measurement results as M1 and M2;

s3, measuring the axial tooth distance of the gear by using a lathe or a milling machine, and recording the axial tooth distance of the gear as px;

s4, measuring the full tooth height of the gear teeth by using a caliper, dividing the measurement result by 1 and dividing by 3 respectively, and performing element integration, wherein the element integration precision is consistent with the first trial calculation step length Mn_step as an upper limit Mn_max and a lower limit Mn_min of a modulus, measuring the spiral angle of the gear by using an angle ruler, adding and subtracting 5 degrees after the measurement result element is integrated to an integer, and the element integration precision is consistent with the second trial calculation step length beta_step as an upper limit beta_max and a lower limit beta_min of the spiral angle, wherein the pressure angle upper limit an_max of the gear is 30 degrees, the lower limit an_min is 15 degrees, and the element integration precision is consistent with the third trial calculation step length an_step;

s5, giving a mapping tolerance eps_px of the axial tooth pitch and a mapping tolerance eps_s of the tooth thickness, wherein the mapping tolerance eps_px of the axial tooth pitch and the mapping tolerance eps_s of the tooth thickness are marked;

s6, utilizing computer programming to calculate the axial tooth pitch px_cal and the tooth thicknesses corresponding to the bar spans M1 and M2 under various parameter combinations, wherein the tooth thickness corresponding to the bar span M1 is recorded as s1_cal, and the tooth thickness corresponding to the bar span M2 is recorded as s2_cal;

s7, calculating an absolute value delta px of a difference value between the axial tooth pitch px_cal and the measured axial tooth pitch px and an absolute value delta S of a difference value between the tooth thicknesses s1_cal and s2_cal, and outputting a parameter combination meeting the condition of delta px < eps_px and delta S < eps_s as a qualified mapping result.

2. The method according to claim 1, wherein the first trial step size mn_step in S4 takes a value of 0.01mm or 0.05mm, the second trial step size beta_step takes a value of 0.1 ° or 0.5 °, and the third trial step size takes a value of 0.1 ° or 0.5 °.

3. The method for mapping macroscopic parameters of an involute cylindrical gear according to claim 1, wherein the specific calculation step in S6 is as follows:

(1) Calculating the axial tooth pitch px_cal by using the calculated modulus and the calculated spiral angle;

(2) And calculating the tooth thickness s1 cal corresponding to the span M1 and the tooth thickness s2 cal corresponding to the span M2 by using the number of teeth, the actually measured span M1 and M2, the calculated modulus, the calculated pressure angle and the calculated helix angle.