CN109655020A - One tooth footpath of gear is to comprehensive deviation and tangential comprehensive deviation detection method - Google Patents

One tooth footpath of gear is to comprehensive deviation and tangential comprehensive deviation detection method Download PDF

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Publication number
CN109655020A
CN109655020A CN201910031744.2A CN201910031744A CN109655020A CN 109655020 A CN109655020 A CN 109655020A CN 201910031744 A CN201910031744 A CN 201910031744A CN 109655020 A CN109655020 A CN 109655020A
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value
minimum value
maximum
minimum
measured
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张白
孔德超
杨海涛
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North Minzu University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B21/00Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant

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  • General Physics & Mathematics (AREA)
  • Testing Of Devices, Machine Parts, Or Other Structures Thereof (AREA)
  • A Measuring Device Byusing Mechanical Method (AREA)

Abstract

The present invention relates to a kind of one tooth footpaths of gear to comprehensive deviation and tangential comprehensive deviation detection method, this method is in dynamic ruler moving process, judge whether the measured value for moving into dynamic ruler is greater than the maximum value greatly or less than the minimum value, if more than the maximum value, then the maximum value is updated to move into the measured value of dynamic ruler, if being less than the minimum value, the minimum value is updated to move into the measured value of dynamic ruler;Whether the measured value for judging to remove dynamic ruler is the maximum value or minimum value, if the measured value for removing dynamic ruler is maximum value, searches the maximum value in dynamic ruler again, if the measured value for removing dynamic ruler is minimum value, searches the minimum value in dynamic ruler again.The method of the present invention does not need all to search maximum value and minimum value at the every movement of dynamic ruler one time, but only when removing the measured value of dynamic ruler is maximum value or minimum value, the maximum value or minimum value in current dynamic ruler are just searched again, can greatly reduce operand, raising efficiency.

Description

One tooth footpath of gear is to comprehensive deviation and tangential comprehensive deviation detection method
Technical field
The present invention relates to gear technique field, in particular to a kind of one tooth footpath of gear to and tangential comprehensive deviation detection side Method.
Background technique
Gear radially or tangentially comprehensive deviation be gear error detection important errors item, existing algorithm for gear radial direction Or tangentially comprehensive total deviation calculation method is identical, it is thus only necessary to calculate radially or tangentially composition error curve maximum and minimum value Radial comprehensive total deviation can be calculated.But it is relatively complicated for the extraction of a tooth footpath to comprehensive deviation, it is usually used both at home and abroad Dynamic ruler (or being window) movement of one tooth measurement data points number extracts the mode of maxima and minima to realize this mistake The extraction of difference.Also scholar once proposes that the mobile mode of most ruler (such as 60% that full tooth measurement point may be selected) measurement points is realized One tooth footpath is calculated to comprehensive deviation.But such tooth error calculation method still realizes calculating by the way of loop nesting, such as Shown in Fig. 1, dynamic ruler moving process will look for maximum value and minimum value again every time, lead to low efficiency.
Summary of the invention
It is an object of the invention to improve the deficiency in the presence of the prior art, a kind of one tooth footpath of gear is provided to comprehensive inclined Difference and tangential comprehensive deviation detection method.
In order to achieve the above-mentioned object of the invention, the embodiment of the invention provides following technical schemes:
A kind of one tooth footpath of gear is to comprehensive deviation detection method, comprising the following steps:
Step 1, using two-sided meshing device measure tested gear with master gear is two-sided engage when, be tested one turn of gear it is interior, It is double nibble center away from variable quantity, obtain the radial composite error curve being made of N number of measured value;
Step 2, according to the number of teeth n of the measurement points N of radial composite error curve and tested gear, the corresponding survey of a tooth is calculated Amount points are N/n, and since first measured value, lookup obtains the maximum value and minimum in first to the N/n measured value Value;
Step 3, it is dynamic ruler with N/n, moves backward a measurement point, it is described judges whether the measured value for moving into dynamic ruler is greater than Maximum value is big or is then updated to the maximum value to move into the measurement of dynamic ruler if more than the maximum value less than the minimum value The minimum value is updated to move into the measured value of dynamic ruler by value if being less than the minimum value;Judgement removes the measured value of dynamic ruler Whether it is the maximum value or minimum value, if the measured value for removing dynamic ruler is maximum value, searches the maximum in dynamic ruler again Value searches the minimum value in dynamic ruler if the measured value for removing dynamic ruler is minimum value again;Circulation executes this step, until Until dynamic ruler cannot move again, final maximum value and minimum value is obtained;
Step 4, the difference of maxima and minima final obtained in step 3 is calculated, which is a tooth footpath To comprehensive deviation.
A kind of tangential comprehensive deviation detection method of one tooth of gear, comprising the following steps:
Step 1, it when measuring tested gear and master gear one flank gearing using one flank gearing instrument, is tested in one turn of gear, The variable quantity of actual rotational angle and nominal corner obtains the tangential composition error curve being made of N number of measured value;
Step 2, according to the number of teeth n of the measurement points N of tangential composition error curve and tested gear, the corresponding survey of a tooth is calculated Amount points are N/n, and since first measured value, lookup obtains the maximum value and minimum in first to the N/n measured value Value;
Step 3, it is dynamic ruler with N/n, moves backward a measurement point, it is described judges whether the measured value for moving into dynamic ruler is greater than Maximum value is big or is then updated to the maximum value to move into the measurement of dynamic ruler if more than the maximum value less than the minimum value The minimum value is updated to move into the measured value of dynamic ruler by value if being less than the minimum value;Judgement removes the measured value of dynamic ruler Whether it is the maximum value or minimum value, if the measured value for removing dynamic ruler is maximum value, searches the maximum in dynamic ruler again Value searches the minimum value in dynamic ruler if the measured value for removing dynamic ruler is minimum value again;Circulation executes this step, until Until dynamic ruler cannot move again, final maximum value and minimum value is obtained;
Step 4, the difference of maxima and minima final obtained in step 3 is calculated, which is that a tooth is cut To comprehensive deviation.
Compared with prior art, detection method judges the measured value for moving into dynamic ruler in dynamic ruler in moving process Whether be greater than the maximum value having been found greatly or be less than minimum value, if more than maximum value or is less than minimum value, then it directly will be current Minimum value or maximum value are updated to move into the measured value of dynamic ruler, while whether the measured value for judging to remove dynamic ruler is maximum value or most Small value, only when removing the measured value of dynamic ruler is maximum value or minimum value, just search again maximum value in current dynamic ruler or Minimum value, it will be apparent that, the method for the present invention can greatly reduce operand, raising efficiency, also reduction pair relative to conventional method The hardware requirement of processing equipment.
Detailed description of the invention
In order to illustrate the technical solution of the embodiments of the present invention more clearly, below will be to needed in the embodiment attached Figure is briefly described, it should be understood that the following drawings illustrates only certain embodiments of the present invention, therefore is not construed as pair The restriction of range for those of ordinary skill in the art without creative efforts, can also be according to this A little attached drawings obtain other relevant attached drawings.
Flow chart of one tooth footpath of Fig. 1 conventional gears to comprehensive deviation detection method.
Fig. 2 is flow chart of one tooth footpath of gear provided in an embodiment of the present invention to comprehensive deviation detection method.
Fig. 3 is the dynamic ruler sliding process schematic diagram in illustrated embodiment.
Specific embodiment
Below in conjunction with attached drawing in the embodiment of the present invention, technical solution in the embodiment of the present invention carries out clear, complete Ground description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.Usually exist The component of the embodiment of the present invention described and illustrated in attached drawing can be arranged and be designed with a variety of different configurations herein.Cause This, is not intended to limit claimed invention to the detailed description of the embodiment of the present invention provided in the accompanying drawings below Range, but it is merely representative of selected embodiment of the invention.Based on the embodiment of the present invention, those skilled in the art are not doing Every other embodiment obtained under the premise of creative work out, shall fall within the protection scope of the present invention.
One tooth footpath of a kind of gear provided in the present embodiment is to comprehensive deviation detection method, comprising the following steps:
Step 1, using two-sided meshing device measure tested gear with master gear is two-sided engage when, be tested one turn of gear it is interior, It is double nibble center away from variable quantity, obtain the radial composite error curve being made of N number of measured value;
Step 2, according to the number of teeth n of the measurement points N of radial composite error curve and tested gear, the corresponding survey of a tooth is calculated Amount points are N/n, and since first measured value, lookup obtains the maximum value and minimum in first to the N/n measured value Value;
Step 3, it is dynamic ruler with N/n, moves backward a measurement point, it is described judges whether the measured value for moving into dynamic ruler is greater than Maximum value is big or is then updated to the maximum value to move into the measurement of dynamic ruler if more than the maximum value less than the minimum value The minimum value is updated to move into the measured value of dynamic ruler by value if being less than the minimum value;Judgement removes the measured value of dynamic ruler Whether it is the maximum value or minimum value, if the measured value for removing dynamic ruler is maximum value, searches the maximum in dynamic ruler again Value searches the minimum value in dynamic ruler if the measured value for removing dynamic ruler is minimum value again;Circulation executes this step, until Until dynamic ruler cannot move again, final maximum value and minimum value is obtained;
Step 4, the difference of maxima and minima final obtained in step 3 is calculated, which is a tooth footpath To comprehensive deviation.
It is for example bright below in conjunction with one for the ease of being easier to understand the method for the present invention.Certainly, originally enumerating is not The data that actual gear radial direction comprehensive deviation acquires when detecting, and it is only the illustrated embodiment enumerated, it is easy to understand present invention side The calculating process being related in method.
Please refer to figs. 2 and 3, in Fig. 3, for the ease of checking, moves one measurement point of the every movement of ruler, one bigger frame To indicate.Assuming that N/n=4, after measurement obtains each measured value and obtains radial composite error curve, radial composite error Calculating process is as follows:
A) first finding the measured value of front four, " maximum value and minimum value in 1,2,3,4 ", there is max=4, min=1.
B) move backward a measurement point again, then new one group of four measured values be " 2,3,4,5 ", judge to move into dynamic ruler Measured value " 5 " be greater than current maximum max=4, current maximum is then updated to 5, i.e. max=5 by 4;Judge again The measured value " 1 " for removing dynamic ruler is minimum value, and then in new one group of four measured values, " finding out minimum value in 2,3,4,5 " is " 2 ", then there is min=2.
C) move backward a measurement point again, then new one group of four measured values be " 3,4,5,4 ", judge to move into dynamic ruler Measured value " 4 " be both not more than current maximum max=5, nor less than current minimum value min=2, removed in being to continue with judgement Whether the measured value " 2 " of dynamic ruler is current maximum or minimum value, judges that the measured value " 2 " except dynamic ruler is minimum value, then New one group of four measured values " it is " 3 " that minimum value is found out in 3,4,5,4 ", then has min=3, and maximum value does not update then, Keep original maximum value, i.e. max=5.
D) move backward a measurement point again, then new one group of four measured values be " 4,5,4,3 ", judge to move into dynamic ruler Measured value " 3 " be equal to current minimum value min=3, in be to continue with judge remove move ruler measured value " 3 " whether be current maximum Value or minimum value judge that the measured value " 3 " except dynamic ruler is minimum value, then in new one group of four measured values " 3,4,5,4 " In to find out minimum value be " 3 ", then have min=3, and maximum value does not update then, keeps original maximum value, i.e. max=5.
E) move backward a measurement point again, then new one group of four measured values be " 5,4,3,6 ", judge to move into dynamic ruler Measured value " 6 " be greater than current max=5, current maximum is then updated to 6, i.e. max=6 by 5;It is dynamic to continue judgement removal Whether the measured value " 4 " of ruler is current maximum or minimum value, judges that the measured value " 4 " except dynamic ruler is not minimum value, is kept Minimum value originally, i.e. min=3.
F) calculating the difference between maximum value max=6 and minimum value min=3 is 3, then a tooth footpath is to comprehensive deviation 3。
In aforementioned present invention method, judge to remove whether dynamic footage evidence is the last maximum value or minimum for recycling and finding Value, then recalculates maximum value if it is maximum value, then recalculates minimum value if it is minimum value.Judgement moves into dynamic footage evidence It is whether bigger or smaller than last minimum value than last maximum value, if bigger than the maximum value of last time circulation, maximum value is updated, If the minimum value of circulation was small than last time, minimum value is updated.The method of the present invention no longer needs in dynamic ruler moving process every time Again poll only just looks for maximum value and minimum when removing maximum value or minimum value to find out maximum value and minimum value again Value, therefore computational efficiency greatly improves.
Tangential comprehensive deviation is also the important errors item of gear error detection, is based on identical inventive concept, the present embodiment In simultaneously give a kind of tangential comprehensive deviation detection method of one tooth of gear, method includes the following steps:
Step 1, it when measuring tested gear and master gear one flank gearing using one flank gearing instrument, is tested in one turn of gear, The variable quantity of actual rotational angle and nominal corner obtains the tangential composition error curve being made of N number of measured value;
Step 2, according to the number of teeth n of the measurement points N of tangential composition error curve and tested gear, the corresponding survey of a tooth is calculated Amount points are N/n, and since first measured value, lookup obtains the maximum value and minimum in first to the N/n measured value Value;
Step 3, it is dynamic ruler with N/n, moves backward a measurement point, it is described judges whether the measured value for moving into dynamic ruler is greater than Maximum value is big or is then updated to the maximum value to move into the measurement of dynamic ruler if more than the maximum value less than the minimum value The minimum value is updated to move into the measured value of dynamic ruler by value if being less than the minimum value;Judgement removes the measured value of dynamic ruler Whether it is the maximum value or minimum value, if the measured value for removing dynamic ruler is maximum value, searches the maximum in dynamic ruler again Value searches the minimum value in dynamic ruler if the measured value for removing dynamic ruler is minimum value again;Circulation executes this step, until Until dynamic ruler cannot move again, final maximum value and minimum value is obtained;
Step 4, the difference of maxima and minima final obtained in step 3 is calculated, which is that a tooth is cut To comprehensive deviation.
The above description is merely a specific embodiment, but scope of protection of the present invention is not limited thereto, any Those familiar with the art in the technical scope disclosed by the present invention, can easily think of the change or the replacement, and should all contain Lid is within protection scope of the present invention.

Claims (2)

1.一种齿轮一齿径向综合偏差检测方法,其特征在于,包括以下步骤:1. a gear-tooth radial comprehensive deviation detection method, is characterized in that, comprises the following steps: 步骤1,采用双面啮合仪测量被测齿轮与标准齿轮双面啮合时,被测齿轮一转内,双啮中心距的变化量,得到由N个测量值构成的径向综合误差曲线;Step 1, use a double-sided meshing instrument to measure the change in the center distance of the double meshing within one revolution of the measured gear when the gear under test meshes with the standard gear on both sides, and obtain a radial comprehensive error curve composed of N measured values; 步骤2,根据径向综合误差曲线的测量点数N与被测齿轮的齿数n,计算一齿对应测量点数为N/n,并从第一个测量值开始,查找得到第一至第N/n个测量值中的最大值和最小值;Step 2: According to the number of measurement points N of the radial comprehensive error curve and the number of teeth n of the gear to be measured, calculate the number of measurement points corresponding to one tooth as N/n, and start from the first measurement value to find the first to N/nth the maximum and minimum of the measured values; 步骤3,以N/n为动尺,向后移动一个测量点,判断移入动尺的测量值是否大于所述最大值大或小于所述最小值,若大于所述最大值,则将所述最大值更新为移入动尺的测量值,若小于所述最小值,则将所述最小值更新为移入动尺的测量值;判断移出动尺的测量值是否是所述最大值或最小值,如果移出动尺的测量值是最大值,则重新查找动尺内的最大值,如果移出动尺的测量值是最小值,则重新查找动尺内的最小值;循环执行本步骤,直至动尺不能再移动为止,得到最终的最大值和最小值;Step 3, take N/n as the moving ruler, move a measurement point backward, and judge whether the measurement value moved into the moving ruler is greater than the maximum value or less than the minimum value, if it is greater than the maximum value, then the The maximum value is updated to the measurement value moved into the moving ruler, and if it is less than the minimum value, the minimum value is updated to the measurement value moved into the moving ruler; it is judged whether the measurement value moved out of the moving ruler is the maximum value or the minimum value, If the measured value of the moving ruler is the maximum value, re-find the maximum value in the moving ruler; if the measured value of the moving ruler is the minimum value, re-find the minimum value in the moving ruler; repeat this step until the moving ruler Get the final maximum and minimum values until you can no longer move; 步骤4,计算出步骤3中得到的最终的最大值与最小值的差值,该差值即为一齿径向综合偏差。Step 4: Calculate the difference between the final maximum value and the minimum value obtained in step 3, and the difference is the comprehensive radial deviation of a tooth. 2.一种齿轮一齿切向综合偏差检测方法,其特征在于,包括以下步骤:2. a gear-tooth tangential comprehensive deviation detection method, is characterized in that, comprises the following steps: 步骤1,采用单面啮合仪测量被测齿轮与标准齿轮单面啮合时,被测齿轮一转内,实际转角与公称转角的变化量,得到由N个测量值构成的切向综合误差曲线;Step 1, use a single-sided meshing instrument to measure the variation of the actual rotation angle and the nominal rotation angle within one rotation of the measured gear when the measured gear meshes with the standard gear on one side, and obtain a tangential comprehensive error curve composed of N measured values; 步骤2,根据切向综合误差曲线的测量点数N与被测齿轮的齿数n,计算一齿对应测量点数为N/n,并从第一个测量值开始,查找得到第一至第N/n个测量值中的最大值和最小值;Step 2: According to the number of measurement points N of the tangential comprehensive error curve and the number of teeth n of the gear to be measured, calculate the number of measurement points corresponding to one tooth as N/n, and start from the first measurement value, find the first to N/nth the maximum and minimum of the measured values; 步骤3,以N/n为动尺,向后移动一个测量点,判断移入动尺的测量值是否大于所述最大值大或小于所述最小值,若大于所述最大值,则将所述最大值更新为移入动尺的测量值,若小于所述最小值,则将所述最小值更新为移入动尺的测量值;判断移出动尺的测量值是否是所述最大值或最小值,如果移出动尺的测量值是最大值,则重新查找动尺内的最大值,如果移出动尺的测量值是最小值,则重新查找动尺内的最小值;循环执行本步骤,直至动尺不能再移动为止,得到最终的最大值和最小值;Step 3, take N/n as the moving ruler, move a measurement point backward, and judge whether the measurement value moved into the moving ruler is greater than the maximum value or smaller than the minimum value, if it is greater than the maximum value, then the The maximum value is updated to the measurement value moved into the moving ruler, if it is less than the minimum value, then the minimum value is updated to the measurement value moved into the moving ruler; it is judged whether the measurement value moved out of the moving ruler is the maximum or minimum value, If the measured value of the moving ruler is the maximum value, re-find the maximum value in the moving ruler; if the measured value of the moving ruler is the minimum value, re-find the minimum value in the moving ruler; repeat this step until the moving ruler Get the final maximum and minimum values until you can no longer move; 步骤4,计算出步骤3中得到的最终的最大值与最小值的差值,该差值即为一齿切向综合偏差。Step 4: Calculate the difference between the final maximum value and the minimum value obtained in step 3, and the difference is the tangential comprehensive deviation of a tooth.
CN201910031744.2A 2019-01-14 2019-01-14 One tooth footpath of gear is to comprehensive deviation and tangential comprehensive deviation detection method Pending CN109655020A (en)

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CN112257192A (en) * 2020-09-16 2021-01-22 北京工业大学 One-tooth tangential comprehensive deviation calculation method based on actual measurement tooth profile deviation

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