CN109374209B - Low-speed dynamic balance table for rotor and critical rotation speed prediction method - Google Patents
Low-speed dynamic balance table for rotor and critical rotation speed prediction method Download PDFInfo
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- 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
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- G01M1/16—Determining imbalance by oscillating or rotating the body to be tested
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Abstract
The embodiment of the application discloses a rotor low-speed dynamic balance table and a critical rotation speed prediction method, wherein the rotor low-speed dynamic balance table comprises a base bracket, a rubber cushion block, a bearing seat, a bearing for erecting a rotor to be tested, a key phase sensor, a vibration sensor, a motor for driving the rotor to be tested to rotate, a data acquisition instrument and a computer; based on the structure of the rotor low-speed dynamic balance table, a first-order critical rotation speed prediction model of the rotor low-speed dynamic balance table system is established, and the relation between the size of the rubber cushion block and the first-order critical rotation speed can be found through the first-order critical rotation speed prediction model, so that whether the first-order critical rotation speed of the rotor low-speed dynamic balance table system built by the prediction system meets the requirement of a low-speed dynamic balance test can be predicted in advance, the rubber cushion block is not required to be repeatedly tested, disassembled and assembled after being mounted on the low-speed dynamic balance table, and the purposes of quickly finding proper supporting rigidity and quickly building the on-site rotor low-speed dynamic balance table are achieved.
Description
Technical Field
The application relates to the field of mechanical vibration of thermal power generating units, in particular to a rotor low-speed dynamic balance table and a critical rotation speed prediction method.
Background
Rotor dynamic balance is a research content of rotor dynamics, and unbalance can cause the vibration value of a rotor to be increased, so that the rotor is not beneficial to normal operation. Therefore, the dynamic balancing process should be performed for the rotor having the mass unbalance. In machine manufacturing or maintenance, dynamic balancing is a process.
The maintenance period of the unit is often short, and in order to avoid factors such as higher cost of rotor returning to factories, a dynamic balance table is often selected to be built on site for rotor low-speed dynamic balance test. The balance rotating speed of the low-speed dynamic balance test in the field is controlled to be about 250r/min or lower, so that the first-order critical rotating speed of the dynamic balance table system is obviously required to appear under the balance rotating speed, and the rotor has proper imbalance sensitivity on the low-speed dynamic balance table. The unbalanced sensitivity is realized by adjusting the supporting rigidity of the dynamic balance table, which is essentially to adjust the supporting rigidity to obtain a proper first-order critical rotating speed (generally 120r/min to 150 r/min) of the dynamic balance table system so as to meet the condition of implementing dynamic balance test on site.
At present, a rubber pad type low-speed dynamic balance table is usually adopted on site, the low-speed dynamic balance table is erected according to the initial size of an empirically designed rubber cushion block, and then a motor drags a rotor to test rotation. If the dynamic balance table system cannot obtain the expected first-order critical rotation speed (too high and too low), the rubber cushion block is required to be disassembled in a stopping mode to adjust the size of the rubber cushion block again, and the adjusted rubber cushion block is reinstalled on the dynamic balance table. Multiple adjustments are typically required to ultimately meet the needs of the in-situ low-speed dynamic balance test. The process of disassembling and assembling the rubber cushion blocks on site is complex, and frequent disassembly and assembly of the rubber cushion blocks consumes a great amount of manpower and material resources, and cannot control the construction period on site well.
Therefore, how to quickly find proper supporting rigidity and quickly build a field low-speed dynamic balance table becomes a key problem.
Disclosure of Invention
The purpose of the application is to provide a rotor low-speed dynamic balance table and a critical rotation speed prediction method, so as to overcome the technical problems in the prior art.
In order to achieve the above purpose, the present application provides the following technical solutions:
a critical rotation speed prediction method of a rotor low-speed dynamic balance table system comprises the following steps: the device comprises a base bracket, a rubber cushion block for adjusting the supporting rigidity of the low-speed dynamic balance table of the rotor, a bearing seat, a bearing for erecting the rotor to be tested, a vibration sensor for measuring vibration, a key phase sensor for measuring rotating speed, a motor for driving the rotor to be tested to rotate, a data acquisition instrument and a computer; the rubber cushion block is arranged between the base bracket and the bearing seat, the bearing is arranged on the bearing seat, the key phase sensor is arranged at the axial edge of the bearing, and the vibration sensor is arranged on the bearing seat; the data acquisition instrument is connected with the key phase sensor and the vibration sensor; the computer is connected with the data acquisition instrument; the rubber cushion block comprises: the non-driving end of the motor is provided with a bearing rubber cushion block; the method comprises the following steps:
respectively calculating the rigidity coefficient of a non-driving end bearing rubber cushion block of the rotor low-speed dynamic balance table if the rubber cushion block is applied to the rotor low-speed dynamic balance table, and the rigidity coefficient of the driving end bearing rubber cushion block;
and inputting the calculated rigidity coefficient into a first-order critical rotation speed prediction model established based on the low-speed dynamic balance platform of the rotor to obtain the first-order critical rotation speed of the low-speed dynamic balance platform system.
In the above method, preferably, the process of establishing the first-order critical rotation speed prediction model based on the low-speed dynamic balancing stand of the rotor includes:
acquiring a rotor motion equation to be measured based on the rotor low-speed dynamic balance table structure:
wherein l 1 Representing the distance from the center of mass of the rotor to be measured to the center of the non-driving end bearing rubber cushion block; l (L) 2 Representing the distance from the center of mass of the rotor to be measured to the center of the driving end bearing rubber cushion block; k (k) 1 The rigidity coefficient of a non-driving end bearing rubber cushion block of the rotor low-speed dynamic balance table is represented; k (k) 2 The rigidity coefficient of the driving end bearing rubber cushion block of the rotor low-speed dynamic balance table is represented; c 1 Representing the damping coefficient of the non-driving end bearing rubber cushion block; c 2 The damping coefficient of the driving end bearing rubber cushion block is represented; m represents the mass of the rotor to be measured; j (J) G Representing the moment of inertia of the rotor to be tested; x represents the displacement of the rotor to be measured; θ represents the lift of the shaft; f represents the elastic restoring force of the rotor to be tested; omega represents the angular velocity of the rotor to be measured;
and obtaining the first-order critical rotation speed prediction model according to the characteristic equation of the rotor motion equation to be detected.
In the above method, preferably, the obtaining the first-order critical rotation speed prediction model according to the characteristic equation of the rotor motion equation to be measured includes:
acquiring a characteristic equation of the rotor motion equation to be tested according to the power matrix D; wherein,
k 11 ＝k 1 +k 2 ，k 12 ＝-k 1 l 1 +k 2 l 2 ，k 21 ＝-k 1 l 1 +k 2 l 2 ，
the characteristic equation is as follows:
|D-ω 2 I|＝0；
according to the characteristic equation, obtain
First-order critical rotation speed prediction model f 1 The method comprises the following steps:
a rotor low speed balancing stand comprising:
a base bracket;
the rubber cushion block is used for adjusting the supporting rigidity of the rotor low-speed dynamic balance table;
a bearing seat;
a bearing for erecting the rotor to be tested;
a key phase sensor for measuring a rotational speed;
a vibration sensor for measuring vibration;
the motor is used for driving the rotor to be tested to rotate;
a data acquisition instrument and a computer;
the rubber cushion block is arranged between the base bracket and the bearing seat, the bearing is arranged on the bearing seat, the key phase sensor is arranged at the axial edge of the bearing, and the vibration sensor is arranged on the bearing seat; the data acquisition instrument is connected with the key phase sensor and the vibration sensor; the computer is connected with the data acquisition instrument; the rubber cushion block comprises: and the motor is provided with a non-driving end bearing rubber cushion block and a driving end bearing rubber cushion block.
In the rotor low-speed dynamic balance table, the number of vibration sensors is preferably 2 to 4.
In the rotor low-speed dynamic balance table, preferably, the 2 to 4 vibration sensors are arranged at different positions on the same horizontal plane.
Above-mentioned rotor low-speed dynamic balance platform, preferably, non-drive end bearing rubber cushion includes N sub-rubber cushion, drive end bearing rubber cushion includes P sub-rubber cushion, N and P are the positive integer that is greater than 1.
Preferably, the low-speed dynamic balance table for the rotor is a semicircular bearing.
The rotor low-speed dynamic balance table is characterized in that the base support is connected with the cement foundation through a fixing bolt.
The low-speed dynamic balance table for a rotor preferably further includes:
and the oil dropping pipe is positioned above the bearing, and lubricating oil dropped by the oil dropping pipe is used for lubricating the rotor to be tested and the bearing.
Preferably, the motor is connected with the rotor to be measured through a gear or a universal joint.
Preferably, the motor is a motor for braking by a salt bath principle.
According to the scheme, the rotor low-speed dynamic balance table and the critical rotation speed prediction method provided by the application comprise a base bracket, a rubber cushion block for adjusting the supporting rigidity of the rotor low-speed dynamic balance table, a bearing seat, a bearing for erecting a rotor to be detected, a key phase sensor, a vibration sensor, a motor for driving the rotor to be detected to rotate, a data acquisition instrument and a computer; the rubber pad block is arranged between the base bracket and the bearing seat, the bearing is arranged on the bearing seat, the key phase sensor is arranged at the axial edge of the bearing, and the vibration sensor is arranged on the bearing seat; the data acquisition instrument is connected with the key phase sensor and the vibration sensor and connected with the computer; the rubber cushion block comprises: and the non-driving end of the motor is provided with a bearing rubber cushion block, and the driving end is provided with a bearing rubber cushion block. Based on the structure of the rotor low-speed dynamic balance table, a first-order critical rotation speed prediction model of the rotor low-speed dynamic balance table system is established, and the supporting rigidity of the rotor low-speed dynamic balance table is related to the size of the rubber cushion block, so that the relation between the size of the rubber cushion block and the first-order critical rotation speed can be searched through the first-order critical rotation speed prediction model, whether the first-order critical rotation speed of the rotor low-speed dynamic balance table system established by the system meets the requirement of a dynamic balance test can be predicted in advance, repeated test and disassembly are carried out to adjust the rubber cushion block without installing the rubber cushion block on the low-speed dynamic balance table, and the purposes of quickly searching proper supporting rigidity and quickly establishing the on-site rotor low-speed dynamic balance table are achieved.
Drawings
In order to more clearly illustrate the embodiments of the invention or the technical solutions in the prior art, the drawings that are required in the embodiments or the description of the prior art will be briefly described, it being obvious that the drawings in the following description are only some embodiments of the invention, and that other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
Fig. 1 is a schematic structural diagram of a low-speed dynamic balancing stand for a rotor according to an embodiment of the present application;
FIG. 2 is a right side view of the low speed balancing stand of the rotor of FIG. 1;
FIG. 3 is a flowchart of one implementation of obtaining a first-order critical rotation speed prediction model according to an embodiment of the present application;
fig. 4 is a mathematical calculation model of a low-speed dynamic balance table of a rotor according to an embodiment of the present application;
FIG. 5 is a mathematical calculation model of a simplified low-speed rotor dynamic balance table provided by an embodiment of the present application;
fig. 6 is a flowchart of an implementation of a method for predicting critical rotation speed of a low-speed dynamic balance table system for a rotor according to an embodiment of the present application.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without any inventive effort, are intended to be within the scope of the invention.
Referring to fig. 1 and fig. 2, fig. 1 is a schematic structural diagram of a low-speed rotor dynamic balancing stand according to an embodiment of the present application, fig. 2 is a right side view of the low-speed rotor dynamic balancing stand shown in fig. 1 (only part of the components in fig. 1 are shown in fig. 2), and the low-speed rotor dynamic balancing stand may include:
the device comprises a base bracket 1, a rubber cushion block 2, a bearing seat 3, a bearing 4, a drip tube 5, a fixing bolt 6, a motor 7 (not shown in fig. 1), a vibration sensor 8, a key phase sensor 9, a data acquisition instrument 10 and a computer 11;
wherein, rubber cushion 2 installs between base support 1 and bearing frame 3. The supporting rigidity of the rotor low-speed dynamic balance table is adjusted through the rubber cushion block 2. By adjusting the size of the rubber cushion block 2, the supporting rigidity of the rotor low-speed dynamic balance table can be changed.
The bearing 4 is arranged on the bearing seat 3, the bearing 4 is used for erecting a rotor to be tested, and the bearing 4 is a semicircular bearing.
And a vibration sensor 8 for measuring the vibration of the bearing bush. The vibration sensor 8 is mounted on the bearing housing 3, alternatively the vibration sensor 8 may be mounted on a side of the bearing housing 3 parallel to the axis of the bearing 4.
A key phase sensor 9 is mounted at the axial edge of the bearing 4 for measuring the rotational speed of the rotor to be measured.
The motor 7 is connected with the rotor to be tested and is used for driving the rotor to be tested to rotate.
The data acquisition instrument 10 is used for acquiring data of the key phase sensor 9 and the vibration sensor 8 and transmitting the data to the computer 11 so as to monitor the first-order critical rotation speed of the bearing bush vibration and the low-speed dynamic balance table system of the rotor.
Wherein, rubber cushion 2 includes two parts, is respectively: the motor 7 is provided with a non-driving end bearing rubber cushion block and a driving end bearing rubber cushion block.
Alternatively, a plurality of vibration sensors 8 may be provided, for example, 2 to 4 vibration sensors 8 may be provided, and the plurality of vibration sensors 8 are distributed on the same horizontal plane and are disposed on the bearing seat of the non-drive end bearing and the bearing seat of the drive end bearing.
Optionally, the non-driving end bearing rubber cushion block may include N sub-rubber cushion blocks, the driving end bearing rubber cushion block may include P sub-rubber cushion blocks, P and N are integers, and P and N may be the same or different.
Alternatively, the base bracket 1 may be connected to the cement foundation by fixing bolts 6 to fix the base bracket 1 to the cement foundation.
Optionally, the oil dropping pipe 5 is located above the bearing 4, and the lubricating oil dropped by the oil dropping pipe 5 is used for lubricating between the rotor to be tested and the bearing 4.
Alternatively, the motor 7 is braked by the salt bath principle, i.e. the motor 7 may be a motor braked by the salt bath principle.
Alternatively, the rotor to be measured and the motor 7 may be connected by a gear or a universal joint, i.e. the rotor to be measured is driven by the motor 7 by the gear or the universal joint.
Based on the rotor low-speed dynamic balance table, the application provides a first-order critical rotation speed prediction model of a rotor low-speed dynamic balance table system. Specifically, a flowchart for obtaining the first-order critical rotation speed prediction model provided in the present application is shown in fig. 3, and may include:
step S31: and obtaining a rotor motion equation to be measured based on the rotor low-speed dynamic balance table structure.
In this embodiment of the present application, the mathematical calculation model of the rotor low-speed dynamic balance table is shown in fig. 4, and in order to obtain the above-mentioned equation of motion of the rotor to be measured, the mathematical calculation model shown in fig. 4 is simplified to obtain a simplified mathematical calculation model of the rotor low-speed dynamic balance table, as shown in fig. 5, where X represents a reference direction.
The matrix form of the specifically obtained rotor motion equation to be measured is as follows:
wherein l 1 Representing the distance from the center of mass G of the rotor to be measured to the center of the non-driving end bearing rubber cushion block; l (L) 2 Representing the distance from the center of mass G of the rotor to be measured to the center of the driving end bearing rubber cushion block; k (k) 1 The rigidity coefficient of a non-driving end bearing rubber cushion block of the rotor low-speed dynamic balance table is represented; k (k) 2 The rigidity coefficient of the driving end bearing rubber cushion block of the rotor low-speed dynamic balance table is represented; c 1 Representing the damping coefficient of the non-driving end bearing rubber cushion block; c 2 The damping coefficient of the driving end bearing rubber cushion block is represented; m represents the mass of the rotor to be measured; j (J) G Representing the moment of inertia of the rotor to be tested; x represents the displacement of the rotor to be measured; θ represents the lift of the shaft; f represents the elastic restoring force of the rotor to be tested; omegaIndicating the angular velocity of the rotor to be measured.
Step S32: and obtaining a first-order critical rotation speed prediction model according to the characteristic equation of the rotor motion equation to be detected.
For ease of calculation, a power matrix D is defined:
wherein k is 11 ＝k 1 +k 2 ，k 12 ＝-k 1 l 1 +k 2 l 2 ，k 21 ＝-k 1 l 1 +k 2 l 2 ，
The obtained characteristic equation is:
|D-ω 2 i|=0, i.e.: (omega) 2 M-k 11 )(ω 2 J G -k 22 )+k 12 ×k 21 ＝0；
The method is obtained according to the characteristic equation:
then, a first order critical rotation speed prediction model f 1 The method comprises the following steps:
the second-order critical rotating speed prediction model is f 2 The method comprises the following steps:
based on the foregoing low-speed dynamic balance table and the first-order critical rotation speed prediction model, the present application provides a method for predicting a critical rotation speed of a low-speed dynamic balance table system of a rotor, where a flowchart for implementing the method for predicting a critical rotation speed of a low-speed dynamic balance table system of a rotor is shown in fig. 6, and may include:
step S61: and respectively calculating the rigidity coefficient of the non-driving end bearing rubber cushion block of the rotor low-speed dynamic balance table if the rubber cushion block is applied to the rotor low-speed dynamic balance table, and the rigidity coefficient of the driving end bearing rubber cushion block.
That is, the method calculates the rigidity coefficient of the non-driving end bearing rubber cushion block of the rotor low-speed dynamic balance table if the rubber cushion block is applied to the rotor low-speed dynamic balance table before the rubber cushion block is applied to the rotor low-speed dynamic balance table, and the rigidity coefficient of the driving end bearing rubber cushion block can be.
How to calculate the rigidity coefficient of the non-driving end bearing rubber cushion block specifically, the rigidity coefficient of the driving end bearing rubber cushion block belongs to common knowledge in the field, and will not be described here again.
Step S62: and inputting the calculated rigidity coefficient into the first-order critical rotation speed prediction model to obtain the first-order critical rotation speed of the rotor low-speed dynamic balance table system.
According to the first-order critical rotation speed, a tester can determine whether the rubber cushion block to be applied to the rotor low-speed dynamic balance table meets the condition of implementing the low-speed dynamic balance test by combining with the actual test requirement. Specifically, if the difference between the first-order critical rotation speed and the first-order critical rotation speed of the actual requirement is smaller than the preset threshold, the condition for implementing the low-speed dynamic balance test can be considered to be satisfied, otherwise, the condition for implementing the low-speed dynamic balance test is considered to be not satisfied. The specific threshold may be determined based on actual accuracy requirements. If the actual accuracy requirement is higher, the threshold may be smaller, and if the actual accuracy requirement is lower, the threshold may be larger.
If it is determined that the above-mentioned rubber cushion block to be applied to the rotor low-speed dynamic balance table does not meet the condition for implementing the low-speed dynamic balance test, after modifying the size of the rubber cushion block, predicting the first-order critical rotational speed of the rotor low-speed dynamic balance table system again by using the critical rotational speed prediction method shown in fig. 6 until the condition for implementing the low-speed dynamic balance test is met.
The embodiments of the present application are explained below with reference to specific examples.
For example, when a certain turbo generator set is uncovered to clean foreign matters, it is unexpectedly found that 3 blades are broken at 13 pressure stages and 2 blades are broken at 15 pressure stages of a certain turbo generator set, and after the damaged blades are replaced, in order to eliminate rotor unbalance caused by replacing the blades, low-speed dynamic balance treatment is performed on the rotor after replacing the blades. In the low-speed dynamic balance treatment process, the rubber cushion block 2 is a strip-shaped rubber cushion block, and the specific design is shown in the table 1:
TABLE 1
| Project | Unit (B) | High pressure side of rotor | Low pressure side of rotor |
| Cross-sectional dimension | m | 0.08×0.065 | 0.08×0.065 |
| Layout form | 2 layers x 3 rows x 2 groups | 2 layers x 4 rows x 2 groups | |
| Effective contact area | m | 0.1464 | 0.2048 |
| Compression amount | m | 0.0817 | 0.0633 |
| Static load | kN | 67 | 78 |
| Specific pressure | N/m 2 (Pa) | 4.58×10 5 | 3.81×10 5 |
| Rigidity coefficient | N/m | 8.2×10 5 | 1.232×10 6 |
The section size refers to a plane perpendicular to the axial direction of the rotor to be tested on the rubber cushion block; the effective contact area is the contact area between the rubber cushion block and the bearing seat.
According to the first-order critical rotation speed prediction model provided by the application, f can be obtained 1 =1.875 Hz, corresponding to a first order critical rotation speed of the rotor low-speed dynamic balance table system of: 1.875×60=113 r/min.
The rotor low-speed dynamic balance table provided by the application can test the first-order critical rotation speed of the dynamic balance table system through a self-vibration method, and then the first-order critical rotation speed of the rotor low-speed dynamic balance table system is tested through the self-vibration method:
the rotor is erected on a bearing of a rotor low-speed dynamic balance table, the middle part of the rotor is pushed by manpower and is quickly loosened to rotate, and the first-order critical rotating speed of the rotor low-speed dynamic balance table system is 124r/min through data acquired by the data acquisition instrument 10.
The first-order critical rotation speed is tested by a rotor low-speed dynamic balance table system:
after the rotor is erected on the bearing of the rotor low-speed dynamic balance table, the motor is started to drive the rotor to rotate, and the first-order critical rotating speed of the rotor low-speed dynamic balance table system is 120r/min through data acquired by the data acquisition instrument 10.
From the above data, it can be seen that the first-order critical rotation speed prediction model of the rotor low-speed dynamic balance table system is feasible in the embodiment of the present application.
In summary, the application provides a rotor low-speed dynamic balance table, a first order critical rotation speed prediction model of rotor low-speed dynamic balance table system, when rotor low-speed dynamic balance test is required to be carried out based on the rotor low-speed dynamic balance table provided by the application, the first order critical rotation speed of the rotor low-speed dynamic balance table system can be predicted through the first order critical rotation speed prediction model, and the rotor low-speed dynamic balance table is built when the predicted first order critical rotation speed meets dynamic balance test conditions, so that the rotor low-speed dynamic balance table meeting the dynamic balance test conditions can be built once, and the purposes of quickly finding proper supporting rigidity and quickly building the on-site low-speed dynamic balance table are achieved.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
Claims (10)
1. A critical rotation speed prediction method of a low-speed dynamic balance table system of a rotor is characterized in that the low-speed dynamic balance table of the rotor comprises the following steps: the device comprises a base bracket, a rubber cushion block for adjusting the supporting rigidity of the low-speed dynamic balance table of the rotor, a bearing seat, a bearing for erecting the rotor to be tested, a vibration sensor for measuring vibration, a key phase sensor for measuring rotating speed, a motor for driving the rotor to be tested to rotate, a data acquisition instrument and a computer; the rubber cushion block is arranged between the base bracket and the bearing seat, the bearing is arranged on the bearing seat, the key phase sensor is arranged at the axial edge of the bearing, and the vibration sensor is arranged on the bearing seat; the data acquisition instrument is connected with the key phase sensor and the vibration sensor; the computer is connected with the data acquisition instrument; the rubber cushion block comprises: the non-driving end of the motor is provided with a bearing rubber cushion block; the method comprises the following steps:
respectively calculating the rigidity coefficient of a non-driving end bearing rubber cushion block of the rotor low-speed dynamic balance table if the rubber cushion block is applied to the rotor low-speed dynamic balance table, and the rigidity coefficient of the driving end bearing rubber cushion block;
inputting the calculated rigidity coefficient into a first-order critical rotation speed prediction model established based on the rotor low-speed dynamic balance table to obtain the first-order critical rotation speed of the rotor low-speed dynamic balance table system;
the process for establishing the first-order critical rotation speed prediction model based on the rotor low-speed dynamic balance table comprises the following steps:
acquiring a rotor motion equation to be measured based on the rotor low-speed dynamic balance table structure:
wherein l 1 Representing the distance from the center of mass of the rotor to be measured to the center of the non-driving end bearing rubber cushion block; l (L) 2 Representing the distance from the center of mass of the rotor to be measured to the center of the driving end bearing rubber cushion block; k (k) 1 The rigidity coefficient of a non-driving end bearing rubber cushion block of the rotor low-speed dynamic balance table is represented; k (k) 2 The rigidity coefficient of the driving end bearing rubber cushion block of the rotor low-speed dynamic balance table is represented; c 1 Representing the damping coefficient of the non-driving end bearing rubber cushion block; c 2 The damping coefficient of the driving end bearing rubber cushion block is represented; m represents the mass of the rotor to be measured; j (J) G Representing the moment of inertia of the rotor to be tested; x represents the displacement of the rotor to be measured; θ represents the lift of the shaft; f represents the elastic restoring force of the rotor to be tested; omega represents the angular velocity of the rotor to be measured;
and obtaining the first-order critical rotation speed prediction model according to the characteristic equation of the rotor motion equation to be detected.
2. The method for predicting critical rotation speed of a low-speed dynamic balance table system of a rotor according to claim 1, wherein the obtaining the first-order critical rotation speed prediction model according to the characteristic equation of the equation of motion of the rotor to be measured comprises:
acquiring a characteristic equation of the rotor motion equation to be tested according to the power matrix D; wherein,
k 11 ＝k 1 +k 2 ，k 12 ＝-k 1 l 1 +k 2 l 2 ，k 21 ＝-k 1 l 1 +k 2 l 2 ，
the characteristic equation is as follows:
|D-ω 2 I|＝0；
according to the characteristic equation, obtain
First-order critical rotation speed prediction model f 1 The method comprises the following steps:
3. the method for predicting critical rotational speed of a low-speed rotor dynamic balance table system according to claim 1, wherein the number of vibration sensors is 2 to 4.
4. The method for predicting critical rotation speed of low-speed dynamic balance table system of rotor according to claim 3, wherein said 2 to 4 vibration sensors are arranged at different positions on the same horizontal plane.
5. The method for predicting critical rotational speed of a rotor low-speed dynamic balance table system according to claim 1, wherein the non-driving end bearing rubber pad comprises N sub-rubber pads, the driving end bearing rubber pad comprises P sub-rubber pads, and N and P are positive integers greater than 1.
6. The method for predicting critical rotational speed of a low speed rotor dynamic balance stand system of claim 1, wherein said bearing is a semicircular bearing.
7. The method for predicting critical rotation speed of a low-speed dynamic balance table system of a rotor according to claim 1, wherein the base bracket is connected with a cement foundation by a fixing bolt.
8. The method for predicting critical rotational speed of a low-speed rotor dynamic balance stand system according to claim 1, further comprising:
and the oil dropping pipe is positioned above the bearing, and lubricating oil dropped by the oil dropping pipe is used for lubricating the rotor to be tested and the bearing.
9. The method for predicting critical rotation speed of low-speed dynamic balance table system of rotor according to claim 1, wherein the motor is connected with the rotor to be measured through a gear or a universal joint.
10. The method for predicting critical rotation speed of low-speed rotor dynamic balance table system according to claim 1, wherein the motor is a motor that performs braking by a salt bath principle.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201811555607.0A CN109374209B (en) | 2018-12-19 | 2018-12-19 | Low-speed dynamic balance table for rotor and critical rotation speed prediction method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201811555607.0A CN109374209B (en) | 2018-12-19 | 2018-12-19 | Low-speed dynamic balance table for rotor and critical rotation speed prediction method |
Publications (2)
| Publication Number | Publication Date |
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| CN109374209A CN109374209A (en) | 2019-02-22 |
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| CN110390139A (en) * | 2019-06-26 | 2019-10-29 | 大连理工大学 | A kind of permanent-magnet speed governor copper rotor critical Speed Calculation method |
| CN113358282B (en) * | 2021-06-04 | 2023-04-21 | 重庆大学 | Low-speed orthogonal fusion dynamic balancing method for composite material tail shaft on dynamic balancing machine |
| CN114018557A (en) * | 2021-11-03 | 2022-02-08 | 上海电动工具研究所（集团）有限公司 | Hoisting type universal rotor critical rotating speed testing device |
| CN117787065B (en) * | 2024-02-23 | 2024-05-03 | 南方电网调峰调频发电有限公司 | Generator shafting stability optimization scheme generation method and device and computer equipment |
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