CN107036810A - A kind of measuring method of gear drive error - Google Patents

A kind of measuring method of gear drive error Download PDF

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Publication number
CN107036810A
CN107036810A CN201710306357.6A CN201710306357A CN107036810A CN 107036810 A CN107036810 A CN 107036810A CN 201710306357 A CN201710306357 A CN 201710306357A CN 107036810 A CN107036810 A CN 107036810A
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CN
China
Prior art keywords
driving wheel
driven pulley
acceleration
signal data
acceleration signal
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Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN201710306357.6A
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Chinese (zh)
Inventor
蒋汉军
刘富豪
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Yangcheng Institute of Technology
Yancheng Institute of Technology
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Yangcheng Institute of Technology
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Application filed by Yangcheng Institute of Technology filed Critical Yangcheng Institute of Technology
Priority to CN201710306357.6A priority Critical patent/CN107036810A/en
Publication of CN107036810A publication Critical patent/CN107036810A/en
Pending legal-status Critical Current

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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M13/00—Testing of machine parts
    • G01M13/02—Gearings; Transmission mechanisms
    • G01M13/021—Gearings
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M13/00—Testing of machine parts
    • G01M13/02—Gearings; Transmission mechanisms
    • G01M13/028—Acoustic or vibration analysis

Abstract

The invention discloses a kind of measuring method of gear drive error, one acceleration transducer is respectively installed in driving wheel and driven pulley end face, the tangential vibrations acceleration signal of driving wheel and driven pulley is gathered, gained signal is subjected to high-pass filtering, dither acceleration signal data are obtained；The radius of turn of acceleration transducer installation site is measured, according to dither acceleration signal data and the radius of turn of installation site, calculating obtains angular acceleration signal data；Angular acceleration signal data carries out quadratic integral, obtains angular displacement signal data；Using angular displacement signal data and the base radius of driven wheel, gear drive error is calculated.Instant invention overcomes when carrying out data sampling to driving wheel and driven pulley using two angular encoders in the prior art by error that time irreversibility is brought；Occupy little space, measurement is accurate；Cost is low, and precision is high, and condition is provided for control gear drive error, and is conducive to carrying out vibration and noise reducing to gear train assembly.

Description

A kind of measuring method of gear drive error
Technical field
The present invention relates to mechanical measurement technique field, more particularly to a kind of measuring method of gear drive error.
Background technology
With the development of science and technology, higher performance requirement is proposed to gear drive, such as at a high speed, it is heavily loaded, low Vibration and low noise etc..Driving error is defined as the actual position of engagement of driven pulley and deviates ideal gear pair error free, without deformation The displacement of the theoretical position of engagement.Driving error is main to be taken turns by foozle, rigging error, flank profil defect and profile modification etc. Gear teeth elastic deformation composition under tooth geometric error, and load effect, is that gear train produces vibration and the important of noise swashs Encourage one of source.Therefore, the driving error of gear how is accurately and effectively calculated, measures and controlled for gear train damping noise reduction It is most important.
The measuring method of traditional gear drive error mainly carries out (such as Publication No. by installing two angular encoders 202382939U patent).Due to gear driving error level small (0~70 μm), and the measured value to measuring condition extremely Sensitivity, two encoders also are difficult to fully achieve synchronized sampling, so that the accuracy of measurement result can be influenceed.
The content of the invention
Goal of the invention：For the driving error of accurate prototype gear, the present invention provides a kind of measurement of gear drive error Method.
Technical scheme：A kind of measuring method of gear drive error, comprises the following steps：
(1) number of teeth, modulus and the pressure angle of driving wheel and driven pulley are provided, if the base radius of driving wheel is RbpIf, from The base radius of driving wheel is Rbg, R is calculated according to the number of teeth of driving wheel and driven pulley, modulus and pressure angle respectivelybp、Rbg；Actively Take turns end face and the first acceleration transducer is installed, if the radius of turn of the first acceleration transducer installation site is rp；In driven pulley End face installs the second acceleration transducer, if the radius of turn of the second acceleration transducer installation site is rg；R is measured respectivelypWith rgValue；
(2) tangential vibrations for gathering driving wheel by the first acceleration transducer and the second acceleration transducer respectively accelerate The tangential vibrations acceleration signal of signal and driven pulley is spent, by the driving wheel and the tangential vibrations acceleration signal point of driven pulley High-pass filtering is not carried out, obtains the dither acceleration signal data of driving wheel and the dither acceleration signal of driven pulley Data, the dither acceleration signal data for making driving wheel are αp, the dither acceleration signal data for making driven pulley are αg；
(3) according to the rpAnd αpCalculate the angular acceleration signal data of driving wheelAccording to the rgAnd αgCalculate driven The angular acceleration signal data of wheel
(4) the angular displacement signal data of driving wheel are set as θpIf the angular displacement signal data of driven pulley are θg, according to describedWithCalculate θpAnd θg：
(5) gear drive error is set as DTE, according to Rbp、Rbg、θp、θgCalculate DTE：
DTE=Rbpθp-Rbgθg。
Further, described in step (2) driving wheel and the tangential vibrations acceleration signal of driven pulley includes low frequency sinusoidal Signal and dither acceleration signal.
Further, high-pass filtering uses Digital Filtering with Zero Phase Error in step (2).
Further, step (2) includes：
(21) driving wheel and the tangential vibrations acceleration signal of driven pulley collected is discrete digital signal, if sampling Count as i, if the discrete digital signal that the first acceleration transducer is collected array SpτRepresent, if the second acceleration transducer The discrete digital signal collected array SgτRepresent, Spτ、SgτIt is expressed as：
Spτ=[Spτ(0) Spτ(1) Spτ(2) ... Spτ(i)]T
Sgτ=[Sgτ(0) Sgτ(1) Sgτ(2) ... Sgτ(i)]T
(22) high-pass filtering is carried out to the discrete digital signal of step (21) using Digital Filtering with Zero Phase Error, wave filter is taken out Head weight coefficient array HxRepresent, filter order is N：
Hx=[Hx(0) Hx(1) Hx(2) ... Hx(N)]T
According to the discrete digital signal S in step (21)pτ、SgτRespectively with the filter tap flexible strategy group H in step (22)x Convolutional calculation obtains the dither acceleration signal data α of driving wheelpWith the dither acceleration signal data of driven pulley αg：
Further, first acceleration transducer and/or the second acceleration transducer are miniature acceleration sensor.
Further, the base radius of driving wheel and driven pulley is in step (1)：
Base radius=the number of teeth × modulus × cos (a)/2
In formula, a is pressure angle.
Beneficial effect：Compare prior art, the measuring method for a kind of gear drive error that the present invention is provided, using two The vibration data of individual acceleration transducer collection driving wheel and driven pulley, and by data processing, so as to effectively calculate tooth Take turns driving error, overcome when carrying out data sampling to driving wheel and driven pulley using two angular encoders in the prior art by The error brought in time irreversibility；Using miniature acceleration sensor, occupy little space, measurement is accurate；The measuring method Measurement cost is not only saved, and higher driving error precision can be obtained, condition is provided for control gear drive error, and have Vibration and noise reducing is carried out beneficial to gear train assembly.
Brief description of the drawings
Fig. 1 is the scheme of installation of miniature acceleration sensor of the present invention；
Fig. 2 is the flow chart of gear drive error measuring method of the present invention.
Embodiment
The invention will be further described with specific embodiment below in conjunction with the accompanying drawings.
The measuring method of gear drive error comprises the following steps：
(1) number of teeth, modulus and the pressure angle of driving wheel and driven pulley are provided, if the base radius of driving wheel is RbpIf, from The base radius of driving wheel is Rbg, R is calculated according to the number of teeth of driving wheel and driven pulley, modulus and pressure angle respectivelybp、Rbg；Actively Take turns end face and the first acceleration transducer is installed, if the radius of turn of the first acceleration transducer installation site is rp；In driven pulley End face installs the second acceleration transducer, if the radius of turn of the second acceleration transducer installation site is rg；R is measured respectivelypWith rgValue；
The calculation formula of base radius is：
Base radius=the number of teeth × modulus × cos (a)/2
In above formula, a is pressure angle.
(2) the tangential of driving wheel 1 is gathered by the first acceleration transducer 11 and the second acceleration transducer 21 respectively to shake The tangential vibrations acceleration signal of dynamic acceleration signal and driven pulley 2, the tangential direction of driving wheel 1 is the M directions in Fig. 1, from The tangential direction of driving wheel 2 is the N directions in Fig. 1；The tangential vibrations acceleration signal of the driving wheel 1 and driven pulley 2 is distinguished High-pass filtering is carried out, the dither acceleration signal data of driving wheel 1 and the dither acceleration signal of driven pulley 2 are obtained Data, the dither acceleration signal data for making driving wheel 1 are αp, make the dither acceleration signal data of driven pulley 2 For αg；
Because gravity changes along the component in acceleration transducer measurement direction with pinion rotation, therefore acceleration sensing The signal that device is obtained includes Low Frequency Sine Signals and dither acceleration signal.Pass through the signal obtained to acceleration transducer It is that the high-pass filter that may separate out in dither acceleration signal, the present embodiment is digital using zero phase to carry out high-pass filtering Wave filter, concrete operations are as follows：
(21) driving wheel and the tangential vibrations acceleration signal of driven pulley collected is discrete digital signal, if sampling Count as i, if the discrete digital signal that the first acceleration transducer is collected array SpτRepresent, if the second acceleration transducer The discrete digital signal collected array SgτRepresent, Spτ、SgτIt is expressed as：
Spτ=[Spτ(0) Spτ(1) Spτ(2) ... Spτ(i)]T
Sgτ=[Sgτ(0) Sgτ(1) Sgτ(2) ... Sgτ(i)]T
(22) high-pass filtering is carried out to the discrete digital signal of step (21) using Digital Filtering with Zero Phase Error, wave filter is taken out Head weight coefficient array HxRepresent, filter order is N：
Hx=[Hx(0) Hx(1) Hx(2) ... Hx(N)]T
According to the discrete digital signal S in step (21)pτ、SgτRespectively with the filter tap flexible strategy group H in step (22)x Convolutional calculation obtains the dither acceleration signal data α of driving wheelpWith the dither acceleration signal data of driven pulley αg：
(3) according to the rpAnd αpCalculate the angular acceleration signal data of driving wheel 1According to the rgAnd αgCalculate from The angular acceleration signal data of driving wheel 2
(4) the angular displacement signal data of driving wheel 1 are set as θpIf the angular displacement signal data of driven pulley 2 are θg, according to institute StateWithCalculate θpAnd θg：
(5) gear drive error is set as DTE, according to Rbp、Rbg、θp、θgCalculate DTE：
DTE=Rbpθp-Rbgθg。
In order to reduce the space-consuming of device, while also improve in the degree of accuracy of collection signal, the present embodiment first adds The acceleration transducer 21 of velocity sensor 11 and second is miniature acceleration sensor.
Finally illustrate, above example only discloses the better embodiment of the present invention, but is not limited to above-mentioned Embodiment, it will be understood by those within the art that, technical scheme is modified or equivalent substitution, Without departing from the objective and scope of technical solution of the present invention, it is encompassed by among scope of the presently claimed invention.

Claims (6)

1. a kind of measuring method of gear drive error, it is characterised in that comprise the following steps：
(1) number of teeth, modulus and the pressure angle of driving wheel and driven pulley are provided, if the base radius of driving wheel is RbpIf, driven pulley Base radius be Rbg, R is calculated according to the number of teeth of driving wheel and driven pulley, modulus and pressure angle respectivelybp、Rbg；At driving wheel end The first acceleration transducer is installed in face, if the radius of turn of the first acceleration transducer installation site is rp；In driven pulley end face Second acceleration transducer is installed, if the radius of turn of the second acceleration transducer installation site is rg；R is measured respectivelypAnd rg's Value；
(2) the tangential vibrations acceleration for gathering driving wheel by the first acceleration transducer and the second acceleration transducer respectively is believed Number and driven pulley tangential vibrations acceleration signal, the tangential vibrations acceleration signal of the driving wheel and driven pulley is entered respectively Row high-pass filtering, obtains the dither acceleration signal data of driving wheel and the dither acceleration signal number of driven pulley According to the dither acceleration signal data for making driving wheel are αp, the dither acceleration signal data for making driven pulley are αg；
(3) according to the rpAnd αpCalculate the angular acceleration signal data of driving wheelAccording to the rgAnd αgCalculate driven pulley Angular acceleration signal data
(4) the angular displacement signal data of driving wheel are set as θpIf the angular displacement signal data of driven pulley are θg, according to describedWithCalculate θpAnd θg：
(5) gear drive error is set as DTE, according to Rbp、Rbg、θp、θgCalculate DTE：
DTE=Rbpθp-Rbgθg。
2. the measuring method of gear drive error according to claim 1, it is characterised in that the active described in step (2) The tangential vibrations acceleration signal of wheel and driven pulley includes Low Frequency Sine Signals and dither acceleration signal.
3. the measuring method of gear drive error according to claim 1 or 2, it is characterised in that high pass is filtered in step (2) Ripple uses Digital Filtering with Zero Phase Error.
4. the measuring method of gear drive error according to claim 1 or 2, it is characterised in that step (2) includes：
(21) driving wheel and the tangential vibrations acceleration signal of driven pulley collected is discrete digital signal, if sampling number For i, if the discrete digital signal that the first acceleration transducer is collected array SpτRepresent, if the second acceleration transducer is gathered The discrete digital signal arrived array SgτRepresent, Spτ、SgτIt is expressed as：
Spτ=[Spτ(0) Spτ(1) Spτ(2) ... Spτ(i)]T
Sgτ=[Sgτ(0) Sgτ(1) Sgτ(2) ... Sgτ(i)]T
(22) high-pass filtering, filter tap power are carried out to the discrete digital signal of step (21) using Digital Filtering with Zero Phase Error Coefficient array HxRepresent, filter order is N：
Hx=[Hx(0) Hx(1) Hx(2) ... Hx(N)]T
According to the discrete digital signal S in step (21)pτ、SgτRespectively with the filter tap flexible strategy group H in step (22)xConvolution Calculate the dither acceleration signal data α for obtaining driving wheelpWith the dither acceleration signal data α of driven pulleyg：
5. the measuring method of gear drive error according to claim 1 or 2, it is characterised in that first acceleration Sensor and/or the second acceleration transducer are miniature acceleration sensor.
6. the measuring method of gear drive error according to claim 1 or 2, it is characterised in that driving wheel in step (1) Base radius with driven pulley is：
Base radius=the number of teeth × modulus × cos (a)/2
In formula, a is pressure angle.
CN201710306357.6A 2017-05-04 2017-05-04 A kind of measuring method of gear drive error Pending CN107036810A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109489599A (en) * 2018-11-12 2019-03-19 北京工业大学 A kind of self-alignment Involute Gear Pair vibration displacement and motion transmission error measurement method

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Publication number Priority date Publication date Assignee Title
JP2008014664A (en) * 2006-07-03 2008-01-24 Toyota Motor Corp Measurement device for gear engagement and transmission error and manufacturing method of gear
KR20090011079A (en) * 2007-07-25 2009-02-02 현대 파워텍 주식회사 Apparatus for testing gear transmission error
CN103698124A (en) * 2013-12-12 2014-04-02 盐城工学院 Method for measuring gear transmission error
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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109489599A (en) * 2018-11-12 2019-03-19 北京工业大学 A kind of self-alignment Involute Gear Pair vibration displacement and motion transmission error measurement method
CN109489599B (en) * 2018-11-12 2020-01-24 北京工业大学 Self-calibration involute gear pair vibration displacement and dynamic transmission error measurement method

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Application publication date: 20170811