CN102175394B - Permanent calibration method in soft bearing dynamic unbalance test of rigid rotor - Google Patents

Permanent calibration method in soft bearing dynamic unbalance test of rigid rotor Download PDF

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CN102175394B
CN102175394B CN201110033254A CN201110033254A CN102175394B CN 102175394 B CN102175394 B CN 102175394B CN 201110033254 A CN201110033254 A CN 201110033254A CN 201110033254 A CN201110033254 A CN 201110033254A CN 102175394 B CN102175394 B CN 102175394B
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rotor
omega
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frequency
rectifying plane
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蔡萍
赵鼎鼎
齐伟
胡文涛
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Shanghai Jiaotong University
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Abstract

The invention discloses a permanent calibration method in soft bearing dynamic unbalance test of a rigid rotor, belonging to the technical field of mechanical measurement. The method can realize permanent system calibration on a soft bearing dynamic unbalance machine and is characterized in that inherent frequency of a vibrating system consisting of a support system and a detected rotor is calculated by acquiring rotary frequencies and amplitudes of the support system at the corresponding moments in the process of rotor acceleration, thereby characterizing the influence of the quality of the rotor on the vibrating amplitude of the rotor by mapping. The influence of the quality and the rotating speed (inertia force of the rotor) of the rotor on calibration is eliminated. The permanent system calibration on the soft bearing dynamic balance machine is realized.

Description

Permanent scaling method in the rigid rotator soft underprop unbalance dynamic test
Technical field
The present invention is the method in a kind of mechanical measurement technique field, is specifically related to the permanent scaling method in a kind of rigid rotator soft underprop unbalance dynamic test.
Background technology
Have now and mainly use influence coefficient method to carry out to the demarcation of soft underprop unbalance dynamic test macro, the result of demarcation is only for being applicable in the dynamic balance running identical with working speed with current Structural Parameters of its Rotor.If the rotor type during the unbalance dynamic test or the rotor type or the rotor structure of rotor structure and timing signal are inconsistent, the calibration result of system is inapplicable, does not promptly possess permanent calibration characteristic.
The Zhou Shiyan of BJ University of Aeronautics & Astronautics professor has spelt out the rotor unbalance dynamic in paper " solves the new way that rigid rotator left and right sides rectifying plane influences problem " measurement receives the measurement rotating speed, the influence of relevant amount such as Structural Parameters of its Rotor.The influence of rotor quality in the soft-bearing dynamic balance measuring system can not ignore, and the permanent system scaling method that uses in the hard bearing dynamic balancing machine can not be applicable to the soft-bearing dynamic balance machine.
The Sheng Deen of Carl Schenck AG also spells out in " elimination of the hard bearing balan errors of principles and the conception of novel equilibrator " along with the increase of measuring rotating speed and natural frequency ratio; The quality of rotor itself and system damping band more and more can not ignore the influence that measurement brings, and the method that is merely able to the demarcation of employing state in the thinking soft underprop system according to routine is accomplished the unbalance dynamic measurement of soft underprop system.And the coefficient that state is demarcated has and rotor type and the closely-related characteristic of working speed.
Mr. Sheng Deen is at its patent " dynamic balancing measurement method and high frequency are than hard supporting dynamic poise device " (publication number: CN1566914A simultaneously; The open date: adopted the method that characterizes rotor moment of inertia on January 19th, 2005); And then partly considered the influence of quality of rotor own and moment of inertia to dynamic balancing measurement, enlarged the frequency measurement scope of classical hard supporting balance.What but it was directed against is the measuring process of hard bearing balan.
Planar separation and system's mark that the Pan Shuan of Zhejiang University summer, oneself professor of Yankee measure unbalance dynamic in " dynamic balancing machine system error analysis and scaling method research " carried out detailed elaboration; Influence coefficient method for the employing of soft underprop system; Vector influence coefficient method and linear regression least square influence coefficient method are carried out system calibrating; These all are to be based upon improving one's methods on the basis that state demarcates, and can't realize permanent demarcation effect of demarcating in the similar hard supporting system.
Summary of the invention
The present invention is directed to the deficiency that above-mentioned prior art exists; Permanent scaling method in a kind of rigid rotator soft underprop unbalance dynamic test is provided; Can on soft underprop unbalance dynamic machine, realize the permanent system demarcation; Through gathering the commentaries on classics frequency and the supporting system amplitude of going through in the rotor accelerator in the corresponding moment, calculate the natural frequency of the vibrational system of supporting system and measured rotor composition, and then the quality that mapping characterizes out rotor is to the rotor oscillation effect on amplitude.Eliminate the influence of rotor quality and rotating speed (rotor inertial forces) to demarcating.Realize the permanent system demarcation of soft-bearing dynamic balance machine.
The present invention realizes through following technical scheme, the present invention includes following steps:
The first step: the acceleration that rotor to be detected is carried out progressively drives; Until high workload rotating speed; Utilize speed pickup to obtain each gyro frequency in the rotor accelerator continuously; Utilize vibration-measuring sensor to obtain the amplitude of the supporting rocker under the corresponding rotation frequency simultaneously, the gyro frequency that after rotor arrives stabilized (steady-state) speed, obtains in the rotor full speed process is vibrated frequency and amplitude data one to one with the supporting rocker.
Second step: the rotational speed omega when the frequency and amplitude data that obtain according to the first step are obtained the peak swing of rotor before reaching resonance state N-1And rotor breaks away from the amplitude limiting mechanism rotational speed omega in when restriction in accelerator N+1, and with
Figure BDA0000046297930000021
Natural frequency as the unbalance dynamic measuring system.
The 3rd step: rotor quality is expressed as
Figure BDA0000046297930000022
Wherein: K is system constants, ω nBe natural frequency; K can confirm ω in the system calibrating process nObtain the result after the execution for a last step.
The 4th step: carry out system calibrating, and obtain system calibrating coefficient
Figure BDA0000046297930000023
and be specially:
x 1 · Ro u → 11 x 2 · Ro u → 21 x 3 · Ro u → 12 x 4 · Ro u → 22 m → 1 m → 2 = U → 1 U → 2 , Wherein:
x 1 = ω 2 r 1 ( b + c ) ( a + b + c ) ( ω 2 2 ω n 2 + 1 ) , x 2 = ω 2 r 2 c ( a + b + c ) ( ω 2 2 ω n 2 + 1 ) .
x 3 = ω 2 r 1 a ( a + b + c ) ( ω 2 2 ω n 2 + 1 ) , x 2 = ω 2 r 2 ( a + b ) ( a + b + c ) ( ω 2 2 ω n 2 + 1 ) ,
The 5th step: rotor is done vibration in the plane of oscillation; According to
Figure BDA0000046297930000029
and
Figure BDA00000462979300000210
that the pick-up sensor arrives, the unbalance mass,
Figure BDA00000462979300000211
that obtains on the corresponding rectifying plane according to the planar separation equation is specially:
Figure BDA0000046297930000031
Wherein:
Figure BDA0000046297930000032
Be the equivalent unbalance mass, on the corresponding rectifying plane,
Figure BDA0000046297930000033
With
Figure BDA0000046297930000034
Be the vibratory output of the supporting rocker of sensor, K is the rigidity of the single supporting of supporting rocker, ω nBe that supporting rocker and rotor form the natural frequency of vibrational system, ω is the rotor rotation angular velocity in the steady state measurement process, and a be that the left rectifying plane distance of distance is supported on a left side, b be left rectifying plane apart from right rectifying plane distance, c is that right rectifying plane is apart from right length of support, r 1Be left rectifying plane amount of unbalance position, r 2Be right rectifying plane amount of unbalance position.
Compared with prior art, the invention has the beneficial effects as follows the permanent demarcation that has realized the soft-bearing dynamic balance machine.Through asking for of above-mentioned natural frequency to supporting system and rotor composition system; And row are write the planar separation equation of dynamic balancing measurement again; Can realize the permanent demarcation of the dynamic-balance measuring system under the soft underprop system, make the calibration result of system be independent of the structural parameters of rotor itself, thus the permanent demarcation of the system of realization; The stated accuracy of raising system and the efficient of dynamic balancing measurement reduce the technical requirement to the site operation personnel.Realize of the easy demarcation of soft-bearing dynamic balance machine as hard bearing balan.
Description of drawings
Fig. 1 be embodiment rotor rotational frequency with vibration amplitude between corresponding change curve.
Fig. 2 is the frequency range section of embodiment rotor gyro frequency and vibration amplitude.
Fig. 3 arranges synoptic diagram for embodiment;
Fig. 4 is the examples measure structural representation;
Among the figure: 1 supporting rocker, 2 supporting rockers, 3 amplitude limiting mechanisms, 4 pick-up sensors, 5 speed probes.
Embodiment
Elaborate in the face of embodiments of the invention down, present embodiment provided detailed embodiment and concrete operating process, but protection scope of the present invention is not limited to following embodiment being to implement under the prerequisite with technical scheme of the present invention.
As shown in Figure 3, present embodiment may further comprise the steps:
The first step; In order to obtain the parameter of rotor accelerator finer and smoothlyer; Equilibrator adopts the servomotor with pre-set velocity and acceleration function that rotor is driven; And just start the locking device of supporting rocker system when at utmost reaching resonance state (peak swing),, discharge the locking device of supporting rocker at once through after the resonant frequency point near rotor.
Second step, in the accelerator of rotor, uniformly-spaced gather vibration signal through vibration-measuring sensor, note corresponding rotor gyro frequency constantly simultaneously.Depict the frequency-amplitude curve of rotor; Seek two moment point that amplitude equates before and after locking device locking, the natural frequency
Figure BDA0000046297930000041
of obtaining supporting and rotor set assembly system characterizes out the quality of rotor simultaneously according to expression formula
Figure BDA0000046297930000042
.
The 3rd step; Adopt the verification rotor that it is carried out accurate system calibrating; According to following mode measuring system is demarcated, can obtain the calibration coefficient of system and record in the permanent memory body of equilibrator:
x 1 · Ro u → 11 x 2 · Ro u → 21 x 3 · Ro u → 12 x 4 · Ro u → 22 m → 1 m → 2 = U → 1 U → 2 , Wherein:
x 1 = ω 2 r 1 ( b + c ) ( a + b + c ) ( ω 2 2 ω n 2 + 1 ) , x 2 = ω 2 r 2 c ( a + b + c ) ( ω 2 2 ω n 2 + 1 ) .
x 3 = ω 2 r 1 a ( a + b + c ) ( ω 2 2 ω n 2 + 1 ) , x 2 = ω 2 r 2 ( a + b ) ( a + b + c ) ( ω 2 2 ω n 2 + 1 ) ,
The 4th step; In the test process that carries out unbalancing value; Still need try to achieve the natural frequency of respective rotor and supporting system, calculate in such a way by means of the calibration coefficient of having preserved in following and the system
Figure BDA0000046297930000049
then
Obtain the unbalance mass, in the corresponding correcting plane:
Figure BDA00000462979300000410
Wherein:
Figure BDA00000462979300000411
Be the equivalent unbalance mass, on the corresponding rectifying plane, With Be the vibratory output of the supporting rocker of sensor, K is the rigidity of the single supporting of supporting rocker, ω nBe that supporting rocker and rotor form the natural frequency of vibrational system, ω is the rotor rotation angular velocity in the steady state measurement process, and a be that the left rectifying plane distance of distance is supported on a left side, b be left rectifying plane apart from right rectifying plane distance, c is that right rectifying plane is apart from right length of support, r 1Be left rectifying plane amount of unbalance position, r 2Be right rectifying plane amount of unbalance position.
As shown in Figure 1, measured rotor is in the overall process of quickening, and the vibratory output of supporting rocker and the phase-shift phase of vibration signal are with measuring change in rotational speed trend.Its vibratory output reaches resonance for increasing earlier, is decreased to m ρ/M more gradually.The initial phase of vibration increases to π from zero simultaneously.And when rotor reaches resonance, that is to say when the rotor oscillation amount reaches maximum that the initial phase of rotor oscillation is a pi/2.
As shown in Figure 2, rotor quickens along heavy line among the figure in accelerator, until reaching the measurement rotating speed.Both sides near resonance state are respectively ω N-1, ω N+1
As shown in Figure 3, rotor receives the restriction of amplitude limiting mechanism in the process of quickening whirling vibration.Can't accurately detect the resonant frequency of rotor, so adopt the acting moment of amplitude limiting mechanism and come equivalent resonant frequency through the average of the frequency in the moment of inefficacy after the resonance.
As shown in Figure 4, the dynamic balancing measurement of rotor relies on a speed pickup and two pick-up sensors to carry out the detection of rotor oscillation amount.
Permanent scaling method in the related soft-bearing dynamic balance machine of this method; Comprise gyro frequency in the rotor accelerator and vibration amplitude are carried out equal interval sampling; Obtain rotor and the natural frequency that supports rocker composition system according to sensor characteristic after the sampling; Realize Function Mapping according to natural frequency, and finally realize permanent system calibration principle and the method in the soft underprop balance test system rotor quality.Comprise simultaneously that to expansion on the rotor driven mode and application the amplitude locking mode is not perhaps locked the expansion of situation.
This method be specially adapted to high precision soft-bearing dynamic balance test macro calibration process, can improve the calibration process of the equilibrator of various soft underprop system; Realize permanent the demarcation; The complicacy and the loaded down with trivial details property that need demarcation repeatedly when avoiding rotor type and structural change realize once forever demarcating.

Claims (1)

1. the permanent scaling method during a rigid rotator soft underprop unbalance dynamic is tested is characterized in that, may further comprise the steps:
The first step: the acceleration that rotor to be detected is carried out progressively drives; Until high workload rotating speed; Utilize speed pickup to obtain each gyro frequency in the rotor accelerator continuously; Utilize vibration-measuring sensor to obtain the amplitude of the supporting rocker under the corresponding rotation frequency simultaneously, the gyro frequency that after rotor arrives stabilized (steady-state) speed, obtains in the rotor full speed process is vibrated frequency and amplitude data one to one with the supporting rocker;
Second step: the rotational speed omega when the frequency and amplitude data that obtain according to the first step are obtained the peak swing of rotor before reaching resonance state N-1And rotor breaks away from the amplitude limiting mechanism rotational speed omega in when restriction in accelerator N+1, and with
Figure FDA00001703111200011
Natural frequency as supporting rocker and rotor composition vibrational system;
The 3rd step: rotor quality is expressed as
Figure FDA00001703111200012
Wherein: K is system constants, ω nBe natural frequency; K can confirm ω in the system calibrating process nObtain the result after the execution for a last step;
The 4th step: carry out system calibrating, and obtain system calibrating coefficient
Figure FDA00001703111200013
and be specially:
x 1 · Ro u → 11 x 2 · Ro u → 21 x 3 · Ro u → 12 x 4 · Ro u → 22 m → 1 m → 2 = U → 1 U → 2 , Wherein:
x 1 = ω 2 r 1 ( b + c ) ( a + b + c ) ( ω 2 2 ω n 2 + 1 ) , x 2 = ω 2 r 2 c ( a + b + c ) ( ω 2 2 ω n 2 + 1 )
x 3 = ω 2 r 1 a ( a + b + c ) ( ω 2 2 ω n 2 + 1 ) , x 4 = ω 2 r 2 ( a + b ) ( a + b + c ) ( ω 2 2 ω n 2 + 1 ) ;
The 5th step: rotor is done vibration in the plane of oscillation, be specially according to the unbalance mass,
Figure FDA00001703111200019
that the planar separation equation obtains on the corresponding rectifying plane according to vibration-measuring sensor detected
Figure FDA00001703111200017
and
Figure FDA00001703111200018
:
m → 1 = U → 1 ( M 2 ω 2 + K ) ( a + b ) - U → 2 ( M 2 ω 2 + K ) c b ( r 1 ω 2 ) m → 2 = U → 2 ( M 2 ω 2 + K ) ( b + c ) - U → 1 a b ( r 2 ω 2 ) , Wherein:
Figure FDA000017031112000111
Be the equivalent unbalance mass, on the corresponding rectifying plane,
Figure FDA00001703111200021
With
Figure FDA00001703111200022
Be the vibratory output of the supporting rocker of sensor, K is system constants, ω nBe that supporting rocker and rotor form the natural frequency of vibrational system, ω is the rotor rotation angular velocity in the steady state measurement process, and a be that the left rectifying plane distance of distance is supported on a left side, b be left rectifying plane apart from right rectifying plane distance, c is that right rectifying plane is apart from right length of support, r 1Be left rectifying plane amount of unbalance position, r 2Be right rectifying plane amount of unbalance position.
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CN110926697B (en) * 2019-11-08 2022-03-08 深圳精匠云创科技有限公司 Dynamic balance correction apparatus
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CN86106678A (en) * 1986-10-14 1988-04-27 北京航空学院 The method of balance cantilever rotor with outer centre of gravity
CN2124469U (en) * 1992-05-08 1992-12-09 沈阳工业学院 Dynamic balance determining apparatus
CN1566914A (en) * 2003-06-27 2005-01-19 盛德恩 Dynamic balancing measuring method and high-frequency ratio hard support dynamic balancing arrangement
CN101105419A (en) * 2007-08-23 2008-01-16 上海交通大学 Dynamic balance instrumentation system and method based on all-flexible vibration system

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* Cited by examiner, † Cited by third party
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CN104101465A (en) * 2014-08-05 2014-10-15 上海交通大学 Circuit frequency characteristic error compensation method of rotor hard bearing dynamic unbalance test

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