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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China
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value
dynamic ruler
minimum value
maximum value
measured value
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CN201910031744.2A
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Chinese (zh)
Inventor
张白
孔德超
杨海涛
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North Minzu University
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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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  • Physics & Mathematics (AREA)
  • 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. a kind of one tooth footpath of gear is to comprehensive deviation detection method, which comprises 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 to nibble Center away from variable quantity, obtain the radial composite error curve being made of N number of measured value;
Step 2, it according to the number of teeth n of the measurement points N of radial composite error curve and tested gear, calculates a tooth and corresponds to measurement point Number is N/n, and since first measured value, and lookup obtains the maximum value and minimum value in first to the N/n measured value;
Step 3, it is dynamic ruler with N/n, moves backward a measurement point, judge whether the measured value for moving into dynamic ruler is greater than the maximum Value is big or is then updated to the maximum value to move into the measured value of dynamic ruler if more than the maximum value less than the minimum value, if Less than the minimum value, then the minimum value is updated to move into the measured value of dynamic ruler;Judge whether remove the measured value for moving ruler It 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, such as The measured value that fruit removes dynamic ruler is minimum value, then searches the minimum value in dynamic ruler again;Circulation executes this step, until dynamic ruler is not Until capable of moving 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 Close deviation.
2. a kind of tangential comprehensive deviation detection method of one tooth of gear, which comprises 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, it is practical The variable quantity of corner and nominal corner obtains the tangential composition error curve being made of N number of measured value;
Step 2, it according to the number of teeth n of the measurement points N of tangential composition error curve and tested gear, calculates a tooth and corresponds to measurement point Number is N/n, and since first measured value, and lookup obtains the maximum value and minimum value in first to the N/n measured value;
Step 3, it is dynamic ruler with N/n, moves backward a measurement point, judge whether the measured value for moving into dynamic ruler is greater than the maximum Value is big or is then updated to the maximum value to move into the measured value of dynamic ruler if more than the maximum value less than the minimum value, if Less than the minimum value, then the minimum value is updated to move into the measured value of dynamic ruler;Judge whether remove the measured value for moving ruler It 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, such as The measured value that fruit removes dynamic ruler is minimum value, then searches the minimum value in dynamic ruler again;Circulation executes this step, until dynamic ruler is not Until capable of moving 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 tangentially comprehensive Close deviation.
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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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
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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CN201382853Y (en) * 2009-04-17 2010-01-13 北京工业大学 Gear double flank rolling multi-dimensional measuring device
CN102749003A (en) * 2012-07-23 2012-10-24 苏州大学 Prototype gear and measurement method thereof
DE102013201473A1 (en) * 2013-01-30 2014-07-31 Schaeffler Technologies Gmbh & Co. Kg Actuating system for clutch of motor vehicle, has gear box including driven threaded spindle which is operatively connected with piston by hydrostatic clutch actuator nut, and sensor element which detects position of nut
JP3194063U (en) * 2014-08-22 2014-10-30 宣真工業株式会社 Building limit measuring instrument
CN108269587A (en) * 2017-12-29 2018-07-10 诺仪器(中国)有限公司 Optical cable knocking display methods and system

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Publication number Priority date Publication date Assignee Title
CN101059802A (en) * 2006-04-17 2007-10-24 中国科学院计算技术研究所 Method and system for calculating data flow maximum value and minimum value under sliding window
CN1904776A (en) * 2006-08-02 2007-01-31 北京金奔腾汽车科技有限公司 Self-learning judging method of automobile decoder
CN201382853Y (en) * 2009-04-17 2010-01-13 北京工业大学 Gear double flank rolling multi-dimensional measuring device
CN102749003A (en) * 2012-07-23 2012-10-24 苏州大学 Prototype gear and measurement method thereof
DE102013201473A1 (en) * 2013-01-30 2014-07-31 Schaeffler Technologies Gmbh & Co. Kg Actuating system for clutch of motor vehicle, has gear box including driven threaded spindle which is operatively connected with piston by hydrostatic clutch actuator nut, and sensor element which detects position of nut
JP3194063U (en) * 2014-08-22 2014-10-30 宣真工業株式会社 Building limit measuring instrument
CN108269587A (en) * 2017-12-29 2018-07-10 诺仪器(中国)有限公司 Optical cable knocking display methods and system

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
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
CN112257192B (en) * 2020-09-16 2024-03-08 北京工业大学 One-tooth tangential integrated deviation calculation method based on actually measured tooth profile deviation

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Application publication date: 20190419