CN105865783B - Oil film bearingses characterisitic parameter reverse method based on Load Reconstruction - Google Patents
Oil film bearingses characterisitic parameter reverse method based on Load Reconstruction Download PDFInfo
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- CN105865783B CN105865783B CN201610167901.9A CN201610167901A CN105865783B CN 105865783 B CN105865783 B CN 105865783B CN 201610167901 A CN201610167901 A CN 201610167901A CN 105865783 B CN105865783 B CN 105865783B
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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
- G01M13/04—Bearings
Abstract
The invention discloses a kind of method for measuring oil film bearingses characteristic.This method carries out calculating reverse on the basis of Journal bearing-rotor system UNBALANCE RESPONSE ANALYSIS WITH FINITE model is established, using the measured data of experiment on rotor to oil film bearingses characterisitic parameter.This method first constrains the equivalent edge load into two radial directions of supporting role of the oil film bearingses to rotor, i.e., equivalent oil film load；Secondly, the dynamic state loading identification method based on regularization, accurate stable reconstruct is carried out to equivalent oil film load using the rotor unbalance response of measurement；Again, the mapping relations established between equivalent oil film load and oil film characteristic parameter, the characterisitic parameter of oil film is identified by least square method.The present invention can accurately and effectively obtain the oil film bearingses characterisitic parameter that conventional method is difficult to determine, include the stiffness characteristics parameter and damping characteristic parameter of oil film.
Description
Technical field
The invention belongs to oil film bearingses feature measurement technical field, more particularly to one kind to be reconstructed based on equivalent dynamic load
Oil film bearingses characterisitic parameter recognition methods.
Background technology
The fluid structurecoupling dynamic characteristics of Rotor-sliding Bearing Systems is by rotor and sliding bearing joint effect.Sliding bearing
Oil film characteristic parameter be to influence one of key factor of the system dynamic characteristic.For Rotor-sliding Bearing Systems, sliding axle
Rotor motion unstable phenomenon caused by the oil film load held is outstanding problem, and the oil film characteristic parameter of sliding bearing is even more direct
An important factor for influenceing electro spindle dynamic characteristic calculation and stability analysis.With electric chief axis system at a high speed, it is high-power, large-scale
Change direction to develop, to the design requirement more and more higher of sliding bearing oil pocket shape in engineering.From theory or counted for complicated oil pocket
Value analytic angle is difficult all-sidedly and accurately to solve oil film characteristic.And experiment test is relied on, and limited by technology or economic condition, it is sliding
The oil film characteristic parameter of dynamic bearing is difficult or even can not carry out direct measurement at all.Due to Rotor-sliding Bearing Systems rotor
The measurement of the dynamic characteristics such as unbalance response is relatively easy and accurate, therefore using the rotor unbalance response measured to sliding
Bearing film characterisitic parameter, which is identified, to seem with important practical usage.
The content of the invention
It is difficult to the difficulty of direct experiment measurement for oil film bearingses characterisitic parameter, the present invention proposes that one kind utilizes rotor
Unbalance response identify the method for oil film bearingses characterisitic parameter, so as to the solid coupling of stream for Rotor-sliding Bearing Systems
The design studies for closing dynamic balancing control, fault diagnosis and the detection of dynamic characteristics and rotor-bearing system etc. provide accurately
Structural property parameter.
According to an aspect of the present invention, there is provided a kind of oil film bearingses characteristic ginseng based on the reconstruct of equivalent dynamic load
Number recognition methods, comprises the following steps：
Step 1：In the light of actual conditions Rotor-sliding Bearing Systems are carried out with unbalance response experiment, measurement obtains rotor
Unbalance response in rotation process；
Step 2：The Dynamics Finite Element Model of rotor is established, and supporting role of the oil film bearingses to rotor is equivalent
Into the edge load constraint of two radial directions；
Step 3：The forward model of the equivalent oil film load reverse of rotor-support-foundation system is established, reconstructs oil film load；
Step 4：The mapping relations established between equivalent oil film load and oil film characteristic parameter simultaneously carry out solution output.
Preferably, oil film characteristic parameter identification problem is converted into equivalent dynamic state loading identification problem.
Preferably, in the step 1, the unbalance response of measurement includes the uneven displacement for oil film Load Reconstruction
Response and the uneven displacement for rotor at the bearings of oil film characteristic parameter identification and speed responsive.
Preferably, it is in the step 2, supporting role of the oil film bearingses to rotor is equivalent into the dynamic of two radial directions
State load.
Preferably, in the step 3, the forward model of the equivalent oil film load reverse of rotor-support-foundation system is to be based on Green's function
What method was established, its expression formula is
Y in formulae(t) rotor dynamic unbalance response caused by oil film load is represented, calculating is subtracted not by measurement response
Rotor unbalance caused by balance exciting force responds to obtain, and T represents time of measuring, gi(t) i-th of Green's kernel function is represented,Represent i-th of equivalent oil film load.When there is n sliding bearing support rotor, there will be 2n equivalent oil film load simultaneously
Act on rotor-support-foundation system.
Preferably, in the step 3, stable identification etc. in the case where measuring in response to belt noise using regularization method
Imitate oil film load.
Preferably, in the step 4, the constituent relation expression formula of equivalent oil film load and corresponding unbalance response is such as
Under：
In formulaThe equivalent oil film load of two radial directions is represented,WithRespectively oil film
Stiffness matrix and damping matrix, yxAnd yyThe uneven dynamic respond of two radial directions of rotor at bearings is represented respectively,WithThe uneven speed responsive of two radial directions of rotor at bearings is represented respectively.
Preferably, in the step 4, solution identification is carried out to oil film characteristic parameter based on least square method.
The present invention innovatively proposes a kind of disequilibrium survey using rotor and responded to realize oil film bearingses spy
Property parameter know method for distinguishing.This method is solved by the way that oil film parameter identification problem is converted into dynamic state loading identification problem,
Experiment test and numerical computations are combined, only can obtain sliding axle using unbalance response experimental measurements accurate stable
The oil film characteristic parameter held.
According to above-mentioned technical proposal, beneficial effects of the present invention include：
(1) rotor of Rotor-sliding Bearing Systems operates at high speeds, the limitation of tested equipment and economic condition, often
The method of testing of rule is difficult to carry out direct measurement to the oil film characteristic parameter of sliding bearing.The present invention goes out from reverse technology is calculated
Hair, a kind of convenient effective indirect gain method is provided to be difficult to the oil film characteristic parameter measured.
(2) present invention takes full advantage of the rotor of relatively easy accurate measurement not when carrying out the identification of oil film characteristic parameter
Equilibrium response information, and combine accurate rotor FEM model and calculate rever algorithm, this improves the knowledge of oil film characteristic parameter
Other efficiency and precision.
(3) present invention carries out the unbalance response test of a Rotor-sliding Bearing Systems, just can obtain each sliding axle
The characterisitic parameter of oil film, including stiffness characteristics parameter and damping characteristic parameter are held, this has been effectively saved measurement cost.
Brief description of the drawings
Accompanying drawing is only used for showing the purpose of specific embodiment, and is not considered as limitation of the present invention, in whole accompanying drawing
In, identical reference symbol represents identical part.
Fig. 1 is the step flow chart of the reverse method of sliding bearing-rotor system oil film characteristic parameter in the present invention；
Fig. 2 a are rotor journal bearing schematic diagram (units：mm)；
Fig. 2 b are the FEM models of rotor-support-foundation system；
Fig. 3 is the uneven dynamic respond figure (rotating speed at four measuring points on rotor：1200r/min)；
Fig. 4 a are the uneven dynamic respond (rotating speeds of rotor at left bearing support：1200r/min)
Fig. 4 b are the uneven dynamic respond (rotating speeds of rotor at right bearing support：1200r/min)
Fig. 4 c are the uneven speed responsive (rotating speeds of rotor at left bearing support：1200r/min)
Fig. 4 d are the uneven speed responsive (rotating speeds of rotor at right bearing support：1200r/min)
Fig. 5 a are the equivalent oil film load (rotating speeds of left bearing reconstruct：1200r/min)
Fig. 5 b are the equivalent oil film load (rotating speeds of right bearing reconstruct：1200r/min)
Wherein, in figure, solid line：X is radially；Dotted line：Y is radially.
Embodiment
1-5 below in conjunction with the accompanying drawings, to carry out the knowledge of oil film bearingses characterisitic parameter using rotor unbalance experimental Response
Exemplified by not, the embodiment of the present invention is described in detail.
During rotor runs at high speed, the characterisitic parameter of oil film bearingses is generally difficult to obtain by testing direct measurement
Or the cost obtained is too high, and the measurement of the unbalance response of rotor is relatively easy.Therefore, can be limited by being carried out to rotor
Meta Model, the equivalent load of supporting role Approximate Equivalent of the oil film bearingses to rotor into two radial directions is constrained, with reference to dynamic
The calculating reverse technology of state load, the form of oil film load is identified first, then establish equivalent oil film load and oil film characteristic
Reverse relation between parameter, the rigidity and damping characteristic parameter of bearing film are calculated by least square method.
Fig. 1 shows the step flow of oil film bearingses characterisitic parameter recognition methods in the specific embodiment of the invention,
Specific implementation step is as follows：
Step 1：In the light of actual conditions Rotor-sliding Bearing Systems are carried out with unbalance response experiment, measurement obtains rotor
Unbalance response in rotation process.
Wherein, shown in the schematic model of Rotor-sliding Bearing Systems such as Fig. 2 (a), wherein major axis diameter is Φ 40mm, circle
Disk a diameter of Φ 100mm, disc thickness 30mm, elastic modulus E=200GPa, shear modulus G=80GPa, density of material ρ=
7.65×103kg/m3.Eccentric mass is located on intermediate disc, wherein quality m=0.2 × 10-3Kg, eccentric distance e=0.6mm, just
Beginning phase
Measurement is used for oil film load identification rotor unbalance dynamic respond as shown in figure 3, knowing for oil film characteristic parameter
Rotor unbalance displacement and speed responsive at other bearings are as shown in Figure 4 a- shown in Figure 4 d.
Step 2：The Dynamics Finite Element Model of rotor is established, and supporting role of the oil film bearingses to rotor is equivalent
Into the edge load constraint of two radial directions.
Wherein, the rotor dynamics FEM model of foundation is dynamical model of rotor, as shown in Fig. 2 (b).The model is same
When bear the uneven exciting force caused by unbalance mass, and by oil film support it is equivalent and Lai oil film load, wherein uneven
The expression formula of exciting force is as follows,
M is eccentric mass in formula, and r is eccentric arm, and ω is rotor peripheral speed,For the initial phase of eccentric mass.
Step 3：The forward model of the equivalent oil film load reverse of rotor-support-foundation system is established, reconstructs oil film load.
In an embodiment of the invention, numerical computations go out uneven exciting force and act solely on rotor-support-foundation system to cause first
Unbalance response, then subtracted with measurement response and calculate response and obtain equivalent oil film load and act solely on rotor-support-foundation system causing
Unbalance response.Make use in oil film load and apply impulse load that Green's nuclear matrix of rotor-support-foundation system is calculated, it is established that
The forward model of oil film load reverse,
Y in formulae(t) rotor dynamic unbalance response caused by oil film load is represented, calculating is subtracted not by measurement response
Rotor unbalance caused by balance exciting force responds to obtain, and T represents time of measuring, gi(t) i-th of Green's kernel function is represented,Represent i-th of equivalent oil film load.When there is n sliding bearing support rotor, there will be 2n equivalent oil film load simultaneously
Act on rotor-support-foundation system.It is as follows that above-mentioned forward model is separated into matrix form,
ye=GFe
G represents overall Green's nuclear matrix, F in formulaeRepresent equivalent oil film load.Due to responding yeIn inevitably carry
Measurement noise, in one embodiment of the invention, using regularization method, for example regularization method (TSVD) is blocked, next gram
The unstability that dress system solves.4 equivalent oil film load of reconstruct are as shown in Fig. 5 a, Fig. 5 b.
Step 4：The mapping relations established between equivalent oil film load and oil film characteristic parameter simultaneously carry out solution output.
Wherein, equivalent oil film load and the mapping relations expression formula of corresponding unbalance response are as follows,
In formulaThe equivalent oil film load of two radial directions is represented,WithRespectively
The stiffness matrix and damping matrix of oil film, yxAnd yyThe uneven dynamic respond of two radial directions of rotor at bearings is represented respectively,
As shown in Fig. 4 a-4b,WithThe uneven speed responsive of two radial directions of rotor at bearings is represented respectively, such as Fig. 4 c-4d
It is shown.To save measurement cost, the unbalance response of rotor can also pass through the equivalent oil film load for substituting into reconstruct at bearings
Numerical computations obtain.Oil film characteristic rigidity and damping parameter are then calculated by least square method to be obtained.Under different rotating speeds, identification
Oil film characteristic parameter is as shown in table 1.
The oil film bearingses parameter identified under the different rotating speeds of table 1
The foregoing is only a preferred embodiment of the present invention, but protection scope of the present invention be not limited thereto,
Any one skilled in the art the invention discloses technical scope in, the change or replacement that can readily occur in,
It should all be included within the scope of the present invention.
Claims (8)
- A kind of 1. method for measuring oil film bearingses characteristic, it is characterised in that comprise the following steps：Step 1：In the light of actual conditions Rotor-sliding Bearing Systems are carried out with unbalance response experiment, measurement obtains rotor and rotated During unbalance response；Step 2：The Dynamics Finite Element Model of rotor is established, and supporting role of the oil film bearingses to rotor is equivalent into two The edge load constraint of individual radial direction；Step 3：The forward model of the equivalent oil film load reverse of rotor-support-foundation system is established, reconstructs oil film load；Step 4：The mapping relations established between equivalent oil film load and oil film characteristic parameter simultaneously carry out solution output.
- 2. according to the method for claim 1, it is characterised in that oil film characteristic parameter identification problem is converted into equivalent dynamic Load identifies problem.
- 3. according to any described method in claim 1-2, it is characterised in that in the step 1, the imbalance of measurement is rung Rotor at the uneven dynamic respond for oil film Load Reconstruction and the bearings for the identification of oil film characteristic parameter should be included Uneven displacement and speed responsive.
- 4. according to the method for claim 3, it is characterised in that in the step 2, by oil film bearingses to rotor The equivalent dynamic load into two radial directions of supporting role.
- 5. according to the method for claim 4, it is characterised in that in the step 3, the equivalent oil film load of rotor-support-foundation system is anti- The forward model asked is established based on Green Function Method, and its expression formula is<mrow> <msup> <mi>y</mi> <mi>e</mi> </msup> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mn>2</mn> <mi>n</mi> </mrow> </munderover> <msubsup> <mo>&Integral;</mo> <mn>0</mn> <mi>T</mi> </msubsup> <msub> <mi>g</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>-</mo> <mi>&tau;</mi> <mo>)</mo> </mrow> <msubsup> <mi>F</mi> <mi>i</mi> <mi>e</mi> </msubsup> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mi>d</mi> <mi>&tau;</mi> </mrow>Y in formulae(t) rotor dynamic unbalance response caused by oil film load is represented, the imbalance that calculating is subtracted by measurement response swashs The rotor unbalance caused by power that shakes responds to obtain, and T represents time of measuring, gi(t) i-th of Green's kernel function, F are representedi e(t) represent I-th of equivalent oil film load；When there is n sliding bearing support rotor, there will be 2n equivalent oil film load while act on turn Subsystem.
- 6. according to the method for claim 5, it is characterised in that in the step 3, rung using regularization method in measurement Should with noise in the case of stable identify equivalent oil film load.
- 7. according to the method for claim 6, it is characterised in that in the step 4, equivalent oil film load with it is corresponding not The constituent relation expression formula of equilibrium response is as follows<mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msubsup> <mi>F</mi> <mi>x</mi> <mi>e</mi> </msubsup> </mtd> </mtr> <mtr> <mtd> <msubsup> <mi>F</mi> <mi>y</mi> <mi>e</mi> </msubsup> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>k</mi> <mrow> <mi>x</mi> <mi>x</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>k</mi> <mrow> <mi>x</mi> <mi>y</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>k</mi> <mrow> <mi>y</mi> <mi>x</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>k</mi> <mrow> <mi>y</mi> <mi>y</mi> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>y</mi> <mi>x</mi> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>y</mi> <mi>y</mi> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>+</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>c</mi> <mrow> <mi>x</mi> <mi>x</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow> <mi>x</mi> <mi>y</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>c</mi> <mrow> <mi>y</mi> <mi>x</mi> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow> <mi>y</mi> <mi>y</mi> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mover> <mi>y</mi> <mo>&CenterDot;</mo> </mover> <mi>x</mi> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mover> <mi>y</mi> <mo>&CenterDot;</mo> </mover> <mi>y</mi> </msub> </mtd> </mtr> </mtable> </mfenced> </mrow>In formulaThe equivalent oil film load of two radial directions is represented,WithRespectively oil film Stiffness matrix and damping matrix, yxAnd yyThe uneven dynamic respond of two radial directions of rotor at bearings is represented respectively,With The uneven speed responsive of two radial directions of rotor at bearings is represented respectively.
- 8. according to the method for claim 7, it is characterised in that special to oil film based on least square method in the step 4 Property parameter carries out solution identification.
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| CN106441891B (en) * | 2016-09-19 | 2019-09-13 | 常州湖南大学机械装备研究院 | The uncertain reverse method of rotor bearing oil-film force and oil film characteristic |
| CN107016167B (en) * | 2017-03-09 | 2020-08-18 | 西安航空学院 | Spindle frequency characteristic modification optimization method based on dynamic constraint combination adaptation |
| CN106840676B (en) * | 2017-03-21 | 2019-06-25 | 上海大学 | Shearing and tension and compression double drive and the visual sliding bearing noise testing testing machine of film shape |
| CN107526902A (en) * | 2017-09-20 | 2017-12-29 | 中国矿业大学(北京) | Based on continuous dynamic (dynamical) rolling bearing rotor-support-foundation system bearing module recognition methods |
| CN108458873B (en) * | 2018-03-22 | 2020-09-29 | 国家电投集团河南电力有限公司 | Sliding bearing system dynamic characteristic analysis method, device, system and medium |
| CN108760263A (en) * | 2018-05-25 | 2018-11-06 | 中国航发湖南动力机械研究所 | The detection method of film damper oil film rigidity and damping |
| CN109186442B (en) * | 2018-11-14 | 2020-08-25 | 大连三环复合材料技术开发股份有限公司 | Method for measuring thickness of oil film of thrust bearing |
| CN113847981A (en) * | 2021-09-16 | 2021-12-28 | 国家电网有限公司 | Mechanical characteristic-based hydroelectric generating set protective vibration monitoring method |
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