CN111504553A - High-speed dynamic balance correction method for flexible rotor - Google Patents

High-speed dynamic balance correction method for flexible rotor Download PDF

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CN111504553A
CN111504553A CN202010344966.2A CN202010344966A CN111504553A CN 111504553 A CN111504553 A CN 111504553A CN 202010344966 A CN202010344966 A CN 202010344966A CN 111504553 A CN111504553 A CN 111504553A
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flexible rotor
vibration
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speed
dynamic balance
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张启兆
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Chongqing Chongqing Chongtong Turbine Technology Co ltd
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Chongqing Chongqing Chongtong Turbine Technology Co ltd
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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
    • G01M1/00—Testing static or dynamic balance of machines or structures
    • G01M1/14—Determining imbalance
    • G01M1/16—Determining imbalance by oscillating or rotating the body to be tested

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Abstract

The invention belongs to the technical field of high-speed dynamic balance, and particularly discloses a high-speed dynamic balance correction method for a flexible rotor, which comprises the following steps: the method comprises the following steps: installing a flexible rotor to be tested in a high-speed dynamic balancing machine, and creating a configuration file of the flexible rotor in measurement software; step two: measuring an original vibration vector of the flexible rotor by using measurement software; step three: carrying out trial weight measurement on the flexible rotor, and measuring an aggravated vibration vector of the flexible rotor by using measurement software; step four: calculating the correction value of the flexible rotor according to the measurement results in the second step and the third step; step five: correcting the flexible rotor according to the correction value of the flexible rotor; step six: and carrying out dynamic balance detection on the corrected flexible rotor. The method can solve the problem that the unbalance of the flexible rotor is not accurately calculated in the prior art, so that the dynamic balance precision of the rotor is not high.

Description

High-speed dynamic balance correction method for flexible rotor
Technical Field
The invention belongs to the technical field of high-speed dynamic balance, and particularly relates to a high-speed dynamic balance correction method for a flexible rotor.
Background
Flexible rotors refer to rotors that operate at speeds near or above the critical speed of first order bending of the rotor. Along with the increase of the capacity of the unit, the axial size of the unit rotor is larger and larger, the flexibility of the thin and long rotor is increased, so that the critical rotating speed of the rotor is greatly reduced, and the working rotating speed exceeds the first-order critical rotating speed or the second-order and third-order critical rotating speeds. The flexible rotor can generate dynamic unbalance phenomenon at high rotating speed, further generate vibration noise, influence the service life and the transmission efficiency of the rotor, and the unbalance amount of the rotor as an important component in a mechanical system can influence the whole unit system and can damage the whole unit in serious conditions. However, the unbalance of the flexible rotor in the prior art is not accurately calculated, so that the dynamic balance precision of the rotor is not high. Therefore, a method capable of accurately calculating the unbalance amount of the rotor at a high rotating speed and improving the dynamic balance precision of the rotor is urgently needed.
Disclosure of Invention
The invention aims to provide a high-speed dynamic balance correction method for a flexible rotor, which aims to solve the problem that the precision of the dynamic balance of the rotor is not high due to inaccurate calculation of the unbalance amount of the flexible rotor in the prior art.
In order to achieve the purpose, the technical scheme of the invention is as follows: a high-speed dynamic balance correction method for a flexible rotor comprises the following steps:
the method comprises the following steps: installing a flexible rotor to be tested in a high-speed dynamic balancing machine, and creating a configuration file of the flexible rotor in measurement software;
step two: measuring a raw vibration vector of the flexible rotor using the measurement software;
step three: performing trial weight measurement on the flexible rotor, and measuring an weighted vibration vector of the flexible rotor by using the measurement software;
step four: calculating the correction value of the flexible rotor according to the measurement results in the second step and the third step;
step five: and correcting the flexible rotor according to the correction amount of the flexible rotor.
Step six: carrying out dynamic balance detection on the corrected flexible rotor, and if the flexible rotor meets the requirements, indicating that the correction amount is reasonable; and if the requirements are not met, returning to the third step to measure again.
Further, in step one, the following data are selected and defined: the mass of the flexible rotor is M; the number of the correcting surfaces of the flexible rotor is m, and each correcting surface is respectively represented as E1, E2 and E3.. The number of the vibration measuring positions of the flexible rotor is i, and the vibration measuring positions are respectively represented as P1, P2 and P3.. Pi; the number of the test rotating speeds of the flexible rotor is q, and the test rotating speeds are respectively expressed as N1, N2 and N3..
Further, in step three, the number of the test weighting blocks in the test weight measurement is M, each correcting surface corresponds to one test weighting block, the test weighting blocks are respectively represented as T1, T2 and T3TmWherein
Figure BDA0002469829560000021
Wherein r ismRepresenting the more frontal radius, N, weighted by the weightmaxRepresenting a critical rotational speed of the flexible rotor.
Further, in step two, an original vibration vector matrix X of all vibration measuring positions at all test rotating speeds is measured at the balance rotating speed, wherein the original vibration vector of the P1 position at the 1 st test rotating speed is defined as
Figure BDA0002469829560000022
Figure BDA0002469829560000023
Wherein V01N1The vibration speed of the flexible rotor at this time is indicated,
Figure BDA0002469829560000024
representing the vibration angle of the flexible rotor at this time; the original vibration vector of the P1 position at the q test speed is defined as
Figure BDA0002469829560000025
Figure BDA0002469829560000026
The original vibration vector of the Pi position at the q test rotation speed is defined as
Figure BDA0002469829560000027
Figure BDA0002469829560000028
Further, in step three, the specific measurement mode is as follows:
step 1: selecting an angle a on the E1 surface1Adding a weight test block T on the E1 surface1At this time, the weight testing block T1Mass and angle are denoted as H1,H1＝MT1∠a1And measuring a first aggravated vibration vector matrix U1 of all vibration measurement positions at all test rotating speeds, wherein the aggravated vibration vector of the P1 position at the 1 st test rotating speed
Figure BDA0002469829560000031
Figure BDA0002469829560000032
Wherein V11N1Representing the vibration velocity at this time at the position P1,
Figure BDA0002469829560000033
represents the vibration angle at this time at position P1; weighted vibration vector at the q-th test speed at position P1
Figure BDA0002469829560000034
Figure BDA0002469829560000035
The aggravated vibration vector at the q-th test rotation speed at the Pi position is defined as
Figure BDA0002469829560000036
Figure BDA0002469829560000037
Step 2: test weighting block T for removing E1 surface1Selecting an angle a on the E2 surface2Test weight T on E22At this time, the weight testing block T2Mass and angle are denoted as H2,H2＝MT2∠a2Measuring a second aggravated vibration vector matrix U2 of all vibration measuring positions at all test rotating speeds; the weighted vibration vector of the Pi position at the q test rotation speed is measured according to the method of the step 1 and is defined as
Figure BDA0002469829560000041
Figure BDA0002469829560000042
And step 3: test weighting block T for removing E2 surface2Repeat the above steps on the E3 plane and the E4 plane, Em plane, at which time the weight T is testedmMass and angle are denoted as Hm,Hm＝MTm∠am(ii) a Measuring a third aggravated vibration vector matrix U3 and a fourth aggravated vibration vector matrix U4... m aggravated vibration vector Um of all vibration measuring positions at all test rotating speeds;
Figure BDA0002469829560000043
and 4, step 4: all the emphasized vibration vectors are aggregated, and defined as an emphasized vibration vector matrix U, U ═ u1u2.. Um.
Further, in step four, the specific calculation step includes:
step 1: calculating an influence coefficient matrix A, wherein the influence coefficient of the E1 surface is A1,
Figure BDA0002469829560000044
the influence coefficient at Em surface is Am,
Figure BDA0002469829560000051
A＝[A1 A2 A3...Am]；
step 2: calculating a correction quantity Q, obtaining a matrix set Q according to a formula AQ + X which is 0, wherein Qm is a correction quantity set of Em surface,
Figure BDA0002469829560000052
further, in the sixth step, the specific detection mode is as follows: and under the q test rotating speeds, testing the correction vibration vectors of the i vibration testing positions, and observing whether the correction vibration vectors meet the requirements.
① the technical proposal corrects the front sides of the flexible rotor, so that the whole detection result is more accurate, ② sets a plurality of vibration measurement positions and a plurality of test rotating speeds, so that the data is more accurate.
Drawings
FIG. 1 is a flow chart of a high-speed dynamic balance correction method for a flexible rotor according to the present invention;
fig. 2 is a schematic structural view of the flexible rotor.
Detailed Description
The following is further detailed by way of specific embodiments:
reference numerals in the drawings of the specification include: p1 position 1, P2 position 2, E1 plane 3, E2 plane 4, E3 plane 5, flexible rotor 6.
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The embodiment is basically as shown in the attached figures 1-2: a high-speed dynamic balance correction method for a flexible rotor comprises the following steps:
installing a flexible rotor to be measured in a high-speed dynamic balancing machine, and creating a configuration file of the rotor in measurement software, wherein the measurement software adopts CABF L EX3 software in the embodiment;
step two: measuring an original vibration vector of the flexible rotor by using measurement software;
step three: carrying out trial weight measurement on the flexible rotor, and measuring an aggravated vibration vector of the flexible rotor by using measurement software;
step four: calculating the correction value of the flexible rotor according to the measurement results in the second step and the third step;
step five: correcting the flexible rotor according to the correction value of the flexible rotor;
step six: carrying out dynamic balance detection on the corrected flexible rotor, and if the flexible rotor meets the requirements, indicating that the correction amount is reasonable; and if the requirements are not met, returning to the third step to measure again.
In step one, the following data are selected and defined: the mass of the flexible rotor is M; the number of the correcting surfaces of the flexible rotor is m, and each correcting surface is respectively represented as E1, E2 and E3.. The number of the vibration measuring positions of the flexible rotor is i, and the vibration measuring positions are respectively represented as P1, P2 and P3.. Pi; the number of the test rotating speeds of the flexible rotor is q, and the test rotating speeds are respectively expressed as N1, N2 and N3..
In step three, the number of the test weighting blocks in the test weight measurement is M, each correcting surface corresponds to one test weighting block, the test weighting blocks are respectively represented as T1, T2 and T3TmWherein
Figure BDA0002469829560000061
Wherein r ismRepresenting the more frontal radius, N, weighted by the weightmaxRepresenting a critical rotational speed of the flexible rotor.
In the second step, an original vibration vector matrix X of all vibration measuring positions at all test rotating speeds is measured at the balance rotating speed, wherein the original vibration vector of the P1 position at the 1 st test rotating speed is defined as
Figure BDA0002469829560000062
Figure BDA0002469829560000063
Wherein V01N1The vibration speed of the flexible rotor at this time is indicated,
Figure BDA0002469829560000064
representing the vibration angle of the flexible rotor at this time; the original vibration vector of the P1 position at the q test speed is defined as
Figure BDA0002469829560000065
Figure BDA0002469829560000066
The original vibration vector of the Pi position at the q test rotation speed is defined as
Figure BDA0002469829560000067
Figure BDA0002469829560000068
In step three, the specific measurement mode is as follows:
step 1: selecting an angle a on the E1 surface1Adding a weight test block T on the E1 surface1At this time, the weight testing block T1Mass and angle are denoted as H1,H1＝MT1∠a1And measuring a first aggravated vibration vector matrix U1 of all vibration measurement positions at all test rotating speeds, wherein the aggravated vibration vector of the P1 position at the 1 st test rotating speed
Figure BDA0002469829560000071
Figure BDA0002469829560000072
Wherein V11N1Representing the vibration velocity at this time at the position P1,
Figure BDA0002469829560000073
represents the vibration angle at this time at position P1; weighted vibration vector at the q-th test speed at position P1
Figure BDA0002469829560000074
Figure BDA0002469829560000075
The aggravated vibration vector at the q-th test rotation speed at the Pi position is defined as
Figure BDA0002469829560000076
Figure BDA0002469829560000077
Step 2: test weighting block T for removing E1 surface1Selecting an angle a on the E2 surface2Test weight T on E22At this time, the weight testing block T2Mass and angle are denoted as H2,H2＝MT2∠a2Measuring a second aggravated vibration vector matrix U2 of all vibration measuring positions at all test rotating speeds; the weighted vibration vector of the Pi position at the q test rotation speed is measured according to the method of the step 1 and is defined as
Figure BDA0002469829560000081
Figure BDA0002469829560000082
And step 3: test weighting block T for removing E2 surface2Repeat the above steps on the E3 plane and the E4 plane, Em plane, at which time the weight T is testedmMass and angle are denoted as Hm,Hm＝MTm∠am(ii) a Measuring a third aggravated vibration vector matrix U3 and a fourth aggravated vibration vector matrix U4... m aggravated vibration vector Um of all vibration measuring positions at all test rotating speeds;
Figure BDA0002469829560000083
and 4, step 4: all the emphasized vibration vectors are aggregated, and defined as an emphasized vibration vector matrix U, U ═ u1u2.. Um.
In step four, the specific calculation steps include:
step 1: calculating an influence coefficient matrix A, wherein the influence coefficient of the E1 surface is A1,
Figure BDA0002469829560000084
the influence coefficient at Em surface is Am,
Figure BDA0002469829560000091
A＝[A1 A2 A3...Am]；
step 2: calculating a correction quantity Q, obtaining a matrix set Q according to a formula AQ + X which is 0, wherein Qm is a correction quantity set of Em surface,
Figure BDA0002469829560000092
in the sixth step, the specific detection mode is as follows: and under the q test rotating speeds, testing the correction vibration vectors of the i vibration testing positions, and observing whether the correction vibration vectors meet the requirements.
The following is a specific example:
the number of the correcting surfaces of the flexible rotor 6 is 3, and each correcting surface is respectively represented as an E1 surface 3, an E2 surface 4 and an E3 surface 5; the number of vibration measurement positions of the flexible rotor 6 is 2, which are respectively represented as a P1 position 1 and a P2 position 2, and the P1 position 1 and the P2 position 2 are respectively positions where bearings are installed on two sides of the flexible rotor 6; the number of test rotational speeds of the flexible rotor 6 is 2, and is represented by N1 and N2, where N1 is 4500r/min and N2 is 13300 r/min. Calculating to obtain a weight M at face 3 of E1T19.3g, trial angle ∠ 50 °, H1Test weight M on face 4 of E2 at 9.3g ∠ 50 ° of 9.3g ∠ °T25g, trial angle ∠ 235 °, H2Test weight M on face 5E 3 at 5g ∠ 235 °T34.22g, trial angle ∠ 55 °, H3＝4.22g∠55°。
The measured vibration vectors are as follows:
TABLE 1 vibration vector table
Figure BDA0002469829560000093
Figure BDA0002469829560000101
(1) From the table above, it follows:
Figure BDA0002469829560000102
(2)H＝[H1H2H3]＝[9.3g∠50° 5g∠235° 4.22g∠55°]；
(3)
Figure BDA0002469829560000103
(4) matrix of influence coefficients
Figure BDA0002469829560000104
(5) According to the formula, AQ + X is 0, the correction quantity Q is calculated by linear algebra,
Figure BDA0002469829560000105
therefore, the correction amount on the plane E1 is Q1-11.7 g ∠ 210 °, Q2-17.4 g ∠ 40 °, and Q3-2.74 g ∠ 66 °.
(6) Each front surface of the flexible rotor 6 is corrected based on the calculated correction amount, and the corrected flexible rotor 6 is detected, resulting in the following table:
TABLE 2 corrected correlation data
Figure BDA0002469829560000106
Figure BDA0002469829560000111
From the above data, it can be seen that the vibration speeds of the P1 position 1 and the P2 position 2 are relatively small, and therefore the correction amount is considered reasonable.
It is noted that, herein, relational terms such as first and second, and the like may be used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Also, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus.
The foregoing is merely an example of the present invention, and common general knowledge in the field of known specific structures and characteristics is not described herein in any greater extent than that known in the art at the filing date or prior to the priority date of the application, so that those skilled in the art can now appreciate that all of the above-described techniques in this field and have the ability to apply routine experimentation before this date can be combined with one or more of the present teachings to complete and implement the present invention, and that certain typical known structures or known methods do not pose any impediments to the implementation of the present invention by those skilled in the art. It should be noted that, for those skilled in the art, without departing from the structure of the present invention, several changes and modifications can be made, which should also be regarded as the protection scope of the present invention, and these will not affect the effect of the implementation of the present invention and the practicability of the patent. The scope of the claims of the present application shall be determined by the contents of the claims, and the description of the embodiments and the like in the specification shall be used to explain the contents of the claims.

Claims (7)

1. A high-speed dynamic balance correction method for a flexible rotor is characterized by comprising the following steps:
the method comprises the following steps: installing a flexible rotor to be tested in a high-speed dynamic balancing machine, and creating a configuration file of the flexible rotor in measurement software;
step two: measuring a raw vibration vector of the flexible rotor using the measurement software;
step three: performing trial weight measurement on the flexible rotor, and measuring an weighted vibration vector of the flexible rotor by using the measurement software;
step four: calculating the correction value of the flexible rotor according to the measurement results in the second step and the third step;
step five: correcting the flexible rotor according to the correction value of the flexible rotor;
step six: carrying out dynamic balance detection on the corrected flexible rotor, and if the flexible rotor meets the requirements, indicating that the correction amount is reasonable; and if the requirements are not met, returning to the third step to measure again.
2. The high-speed dynamic balance correction method for the flexible rotor according to claim 1, characterized in that: in step one, the following data are selected and defined: the mass of the flexible rotor is M; the number of the correcting surfaces of the flexible rotor is m, and each correcting surface is respectively represented as E1, E2 and E3.. The number of the vibration measuring positions of the flexible rotor is i, and the vibration measuring positions are respectively represented as P1, P2 and P3.. Pi; the number of the test rotating speeds of the flexible rotor is q, and the test rotating speeds are respectively expressed as N1, N2 and N3..
3. The high-speed dynamic balance correction method for the flexible rotor according to claim 2, characterized in that: in step three, the number of the test weighting blocks in the test weight measurement is M, each correcting surface corresponds to one test weighting block, the test weighting blocks are respectively represented as T1, T2 and T3TmWherein
Figure FDA0002469829550000011
Wherein r ismRepresenting the more frontal radius, N, weighted by the weightmaxRepresenting a critical rotational speed of the flexible rotor.
4. The high-speed dynamic balance correction method of the flexible rotor according to claim 3, characterized in that: in the second step, an original vibration vector matrix X of all vibration measuring positions at all test rotating speeds is measured at the balance rotating speed, wherein the original vibration vector of the P1 position at the 1 st test rotating speed is defined as
Figure FDA0002469829550000012
Figure FDA0002469829550000013
Wherein
Figure FDA0002469829550000014
The vibration speed of the flexible rotor at this time is indicated,
Figure FDA0002469829550000021
to express thisThe vibration angle of the flexible rotor; the original vibration vector of the P1 position at the q test speed is defined as
Figure FDA0002469829550000022
Figure FDA0002469829550000023
The original vibration vector of the Pi position at the q test rotation speed is defined as
Figure FDA0002469829550000024
Figure FDA0002469829550000025
Figure FDA0002469829550000026
5. The high-speed dynamic balance correction method of the flexible rotor according to claim 4, characterized in that: in step three, the specific measurement mode is as follows:
step 1: selecting an angle a on the E1 surface1Adding a weight test block T on the E1 surface1At this time, the weight testing block T1Mass and angle are denoted as H1,H1＝MT1∠a1And measuring a first aggravated vibration vector matrix U1 of all vibration measurement positions at all test rotating speeds, wherein the aggravated vibration vector of the P1 position at the 1 st test rotating speed
Figure FDA0002469829550000027
Figure FDA0002469829550000028
Wherein
Figure FDA0002469829550000029
Representing the vibration velocity at this time at the position P1,
Figure FDA00024698295500000210
represents the vibration angle at this time at position P1; weighted vibration vector at the q-th test speed at position P1
Figure FDA00024698295500000211
Figure FDA00024698295500000212
The aggravated vibration vector at the q-th test rotation speed at the Pi position is defined as
Figure FDA0002469829550000031
Figure FDA0002469829550000032
Figure FDA0002469829550000033
Step 2: test weighting block T for removing E1 surface1Selecting an angle a on the E2 surface2Test weight T on E22Test weight T on E22At this time, the weight testing block T2Mass and angle are denoted as H2,H2＝MT2∠a2Measuring a second aggravated vibration vector matrix U2 of all vibration measuring positions at all test rotating speeds; the weighted vibration vector of the Pi position at the q test rotation speed is measured according to the method of the step 1 and is defined as
Figure FDA0002469829550000034
Figure FDA0002469829550000035
Figure FDA0002469829550000036
And step 3: test weighting block T for removing E2 surface2Repeat the above steps on the E3 plane and the E4 plane, Em plane, at which time the weight T is testedmQuality ofAnd angle is represented as Hm,Hm＝MTm∠am(ii) a Measuring a third aggravated vibration vector matrix U3 and a fourth aggravated vibration vector matrix U4... m aggravated vibration vector Um of all vibration measuring positions at all test rotating speeds;
Figure FDA0002469829550000041
and 4, step 4: all the emphasized vibration vectors are aggregated, and defined as an emphasized vibration vector matrix U, U ═ u1u2.. Um.
6. The high-speed dynamic balance correction method of the flexible rotor according to claim 5, characterized in that: in step four, the specific calculation steps include:
step 1: calculating an influence coefficient matrix A, wherein the influence coefficient of the E1 surface is A1,
Figure FDA0002469829550000042
the influence coefficient at Em surface is Am,
Figure FDA0002469829550000043
A＝[A1 A2 A3...Am]；
step 2: calculating a correction quantity Q, obtaining a matrix set Q according to a formula AQ + X which is 0, wherein Qm is a correction quantity set of Em surface,
Figure FDA0002469829550000044
7. the high-speed dynamic balance correction method for the flexible rotor according to claim 2, characterized in that: in the sixth step, the specific detection mode is as follows: and under the q test rotating speeds, testing the correction vibration vectors of the i vibration testing positions, and observing whether the correction vibration vectors meet the requirements.
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