CN108664710A - A kind of pump flow-induced vibration performance comprehensive evaluation method - Google Patents

A kind of pump flow-induced vibration performance comprehensive evaluation method Download PDF

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CN108664710A
CN108664710A CN201810361545.3A CN201810361545A CN108664710A CN 108664710 A CN108664710 A CN 108664710A CN 201810361545 A CN201810361545 A CN 201810361545A CN 108664710 A CN108664710 A CN 108664710A
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pump
amplitude
induced vibration
frequency point
vibration performance
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谈明高
廉益超
吴贤芳
刘厚林
王凯
王勇
董亮
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Jiangsu University
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Priority to GB2016276.4A priority patent/GB2586756B/en
Priority to PCT/CN2018/085521 priority patent/WO2019200624A1/en
Publication of CN108664710A publication Critical patent/CN108664710A/en
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04DNON-POSITIVE-DISPLACEMENT PUMPS
    • F04D15/00Control, e.g. regulation, of pumps, pumping installations or systems
    • F04D15/0088Testing machines
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/17Mechanical parametric or variational design
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04DNON-POSITIVE-DISPLACEMENT PUMPS
    • F04D15/00Control, e.g. regulation, of pumps, pumping installations or systems
    • F04D15/0077Safety measures
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/14Fourier, Walsh or analogous domain transformations, e.g. Laplace, Hilbert, Karhunen-Loeve, transforms
    • G06F17/141Discrete Fourier transforms
    • G06F17/142Fast Fourier transforms, e.g. using a Cooley-Tukey type algorithm
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/16Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04DNON-POSITIVE-DISPLACEMENT PUMPS
    • F04D1/00Radial-flow pumps, e.g. centrifugal pumps; Helico-centrifugal pumps
    • F04D1/06Multi-stage pumps
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F05INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
    • F05DINDEXING SCHEME FOR ASPECTS RELATING TO NON-POSITIVE-DISPLACEMENT MACHINES OR ENGINES, GAS-TURBINES OR JET-PROPULSION PLANTS
    • F05D2250/00Geometry
    • F05D2250/50Inlet or outlet
    • F05D2250/52Outlet
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F05INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
    • F05DINDEXING SCHEME FOR ASPECTS RELATING TO NON-POSITIVE-DISPLACEMENT MACHINES OR ENGINES, GAS-TURBINES OR JET-PROPULSION PLANTS
    • F05D2270/00Control
    • F05D2270/30Control parameters, e.g. input parameters
    • F05D2270/301Pressure
    • F05D2270/3013Outlet pressure
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F05INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
    • F05DINDEXING SCHEME FOR ASPECTS RELATING TO NON-POSITIVE-DISPLACEMENT MACHINES OR ENGINES, GAS-TURBINES OR JET-PROPULSION PLANTS
    • F05D2270/00Control
    • F05D2270/30Control parameters, e.g. input parameters
    • F05D2270/334Vibration measurements
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/10Noise analysis or noise optimisation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/14Force analysis or force optimisation, e.g. static or dynamic forces

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  • Software Systems (AREA)
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  • Control Of Non-Positive-Displacement Pumps (AREA)
  • Structures Of Non-Positive Displacement Pumps (AREA)

Abstract

The present invention provides a kind of pump flow-induced vibration performance comprehensive evaluation method, obtains the pressure fluctuation data in impeller of pump exit first with experimental test or numerical computations and calculate dimensionless pressure ripple factor time domain variation function;Then fast Fourier is carried out to above-mentioned time domain variation function and changes acquisition frequency domain variation function, carry out full range domain search later, arranged from big to small by amplitude and choose first three Frequency point as calculating Frequency point;Then analytic hierarchy process (AHP) is used to determine weight factor of each amplitude for calculating Frequency point in pumping the flow-induced vibration overall evaluation, it is horizontal to evaluate pump body vibration eventually by three rank synthesis oscillation pressure of pump are obtained to the calculating of each amplitude and corresponding weight factor for calculating Frequency point.The present invention considers the amplitude of impeller of pump outlet pressure pulsatile change function multiple Frequency points on frequency domain, overcame it is previous only consider at dominant frequency vibration amplitude to weigh the one-sidedness of pump vibration performance, there is extensive engineering application value.

Description

A kind of pump flow-induced vibration performance comprehensive evaluation method
Technical field
The present invention relates to fluid machinery design field, refer in particular to be related to a kind of pump flow-induced vibration performance synthesis evaluation side Method.
Background technology
A kind of universal machine of pumping action, plays the important function that do not replace in numerous industrial circles.With society Development, stability when to pump operation proposes new requirement, and lower level of vibration can not only save energy and improve property Can, and to ensureing that the service life of pump is also most important.
There are two types of the vibrations of pump:When system vibration caused by mechanical oscillation, second is that vibration caused by flow-induction.The former Mainly by designing and manufacture is influenced, preferable solution has been obtained by active control technology etc., and the latter mainly by Caused by UNSTEADY FLOW inside pumping, the mechanism of action is also in continuous research.Pressure fluctuation is as pump Nei Feiding The specific manifestation form of normal flow performance, while being also the principal element for causing pump flow-induced vibration.But at present for pressure The analysis method of power pulsation only focuses at dominant frequency the amplitude analysis of (the corresponding frequency of maximum amplitude) mostly, at secondary dominant frequency The amplitude of (being typically leaf frequency, it is also possible to axis frequency, stator-rotor interaction frequency etc.) considers less.Although these methods can be one Determine the level of vibration of reaction pump in degree, but when the amplitude at the frequencies such as secondary dominant frequency is larger, this analysis method just seems not It is enough comprehensive.Therefore, it is badly in need of proposing a kind of method for capableing of overall merit pump flow-induced vibration performance.But so far, still Have no the relevant report of pump flow-induced vibration integrated evaluating method.
Invention content
In response to the deficiencies in the existing technology, the present invention provides a kind of pump flow-induced vibration performance synthesis evaluation sides Method, the more comprehensively vibration performance of reflected pump.
The present invention achieves the above technical objects by the following technical means.
A kind of pump flow-induced vibration performance comprehensive evaluation method, comprises the steps of:
Step 1:It chooses and is used as monitoring point at impeller outlet, the pressure of monitoring point is obtained using experimental test or numerical computations Power microseismic data, and calculate the pressure fluctuation coefficient time domain variation function of nondimensionalization;
Step 2:Fast Fourier variation is carried out to pressure fluctuation coefficient time domain variation function and changes letter to obtain frequency domain Number carries out full range domain search, and it is to calculate Frequency point to choose first three frequency from big to small by amplitude;
Step 3:Determine the amplitude for calculating Frequency point in pumping the flow-induced vibration overall evaluation using analytic hierarchy process (AHP) Weight factor is shaken by obtaining pump three ranks synthesis to the calculating of each amplitude and corresponding weight factor for calculating Frequency point Dynamic pressure judges pump flow-induced vibration performance, three rank synthesis oscillation pressures of the pump according to three rank synthesis oscillation pressure of the pump Qiang Yue great, then it is poorer to pump flow-induced vibration performance, and three rank synthesis oscillation pressure of pump are smaller, then pump flow-induced vibration performance and get over It is good.
Preferably, it in the step 1, when obtaining data using experimental test, chooses and is used as monitoring point at impeller outlet, Data sampling, sample frequency f can be carried out after pumping stable operationsIt is chosen to be 1000f1, f1For the axis frequency of pump, duration t= 2T, T are the swing circle of pump to be measured;
When obtaining pressure fluctuation data using numerical computations, it sets correct permanent result of calculation to unsteady computation Primary condition, and unsteady computation time step is setCalculating total time is 7T, is chosen in most latter two period Data as pressure fluctuation data.
Preferably, in the step 1, after obtaining pressure fluctuation data, the invalid data in removing pressure fluctuation data is simultaneously Match with temporal information, obtains pressure fluctuation time domain variation function Fp(t), soft using data processings such as EXCEL or ORIGIN Obtained pressure fluctuation time domain is changed function F by partp(t) variation is pressure fluctuation coefficient CPTime domain variation function FC(t), real The nondimensionalization of existing selected variable, whereinP is the static pressure of monitoring point at impeller outlet;For in 1 swing circle The average static pressure of monitoring point at impeller outlet;ρ is fluid density;U is the peripheral speed of monitoring point at impeller outlet.
Preferably, the step 2 is specific as follows:
(1) function F is changed to obtained pressure fluctuation coefficient time domain by Data Analysis Software such as ORIGIN or MATLABC (t) it carries out fast Fourier variation and changes function to obtain corresponding frequency domain;
(2) Data Analysis Software such as MATLAB or EXCEL or ORIGIN is used to change function to the frequency domain that step (1) obtains Global search is carried out, the data of each Frequency point are arranged in order according to the descending sequence of amplitude, amplitude is chosen and comes first three The Frequency point of position is as calculating Frequency point.
Preferably, the step 3 is specific as follows:
S1:Judge layer matrix A according to the correlation structure of each calculating Frequency point and its amplitude is intermediate, it is specific as follows:
Three data for calculating Frequency point are arranged in order according to amplitude is descending as (f1,A1)、(f2,A2)、(f3, A3), define element aij(i<The value of j, i and j are 1,2 or value 3) is closest to bijA positive integer,Andaii=1;
aijMeaning be:About calculating Frequency point amplitude for the importance of pump flow-induced vibration, i-th of calculating frequency Point amplitude is a of j-th of calculating Frequency point amplitudeijTimes, such as:a12=3, meaning is:First calculates frequency amplitude to pump The importance of body vibration is 3 times of second calculating frequency.With aijStructure is intermediate to judge layer matrixIn this way, analytic hierarchy process (AHP) organically combines qualitative method with quantitative approach, It ensure that the weight factor obtained is suitable and correct.
S2:Operating specification column average method judges that layer A is calculated to centre, obtains each weight for calculating Frequency point amplitude The factor;
Layer matrix A, which is normalized, to be judged to centre first, obtains matrixWhereinIt sums to each row element of B matrixes and is normalized to obtain feature vectorIts InElement in W matrixes be it is each calculate Frequency point amplitude to pump flow-induced vibration weight because Son;
S3:Three rank synthesis oscillation pressure of pump are calculatedWherein ρ is that fluid is close Degree;U is the peripheral speed of monitoring point at impeller outlet, and the smaller representative pump flow-induced vibration performance of L values is better, L values bigger generation It is poorer that table pumps flow-induced vibration performance.
Preferably, the Data Analysis Software is MATLAB softwares or ORIGIN softwares.
Beneficial effects of the present invention:
1) pilot process is suitable for variety classes pump under different operating modes using pressure fluctuation coefficient as dimensionless variable Vibration performance assessment, have extensive prospect of the application.
2) weight factor of different frequency point amplitude is calculated using analytic hierarchy process (AHP), more can comprehensively give expression to each frequency Significance level of the rate point amplitude to pump flow-induced vibration performance.
3) evaluation method relates to three Frequency points of amplitude maximum on frequency domain, three rank synthesis oscillation pressures of calculated pump By force can more fully, compactly reflected pump flow-induced vibration performance.
Description of the drawings
Fig. 1 is a kind of flow chart of pump flow-induced vibration performance comprehensive evaluation method of the present invention.
Fig. 2 is the pressure fluctuation coefficient time domain variation diagram at pump discharge in embodiment.
Fig. 3 is the pressure fluctuation coefficient frequency domain variation diagram at pump discharge in embodiment.
Specific implementation mode
Below in conjunction with the accompanying drawings and specific embodiment the present invention is further illustrated, but protection scope of the present invention is simultaneously It is without being limited thereto.
The present embodiment uses specific revolution for 27 Pyatyi centrifugal pump, design discharge Q=5m3/ h, lift H=36m, rotating speed N=2900r/min, impeller blade number z=8, guide vane number are 6.
As shown in Figure 1, a kind of pump flow-induced vibration performance comprehensive evaluation method, comprises the steps of:
Step 1:It chooses and is used as monitoring point at impeller outlet, the pressure of monitoring point is obtained using experimental test or numerical computations Power microseismic data, and nondimensionalization pressure fluctuation coefficient time domain variation function is calculated, it is specific as follows:
1) it chooses and is used as monitoring point at impeller outlet, the pressure fluctuation of monitoring point is obtained using experimental test or numerical computations Data, the present embodiment obtain pressure fluctuation data using numerical computations, set correct permanent result of calculation to unsteady meter The primary condition of calculation, and unsteady computation time step is setCalculating total time is 7T= 0.14483s chooses the data in most latter two period as pressure fluctuation data;
2) it removes the invalid data in pressure fluctuation data and matches with temporal information, obtain the variation of pressure fluctuation time domain Function Fp(t), obtained pressure fluctuation time domain is changed by function F using EXCEL softwaresp(t) variation is pressure fluctuation coefficient CPTime domain variation function FC(t), as shown in Fig. 2, realizing nondimensionalization, whereinP is monitoring point at impeller outlet Static pressure;For the average static pressure of 1 swing circle inner impeller exit monitoring point;ρ is fluid density;U is at impeller outlet The peripheral speed of monitoring point.
Step 2:Fast Fourier variation is carried out to pressure fluctuation coefficient time domain variation function and changes letter to obtain frequency domain Number, as shown in figure 3, carrying out full range domain search, it is to calculate Frequency point to choose first three frequency from big to small by amplitude, specifically such as Under:
(1) function F is changed to obtained pressure fluctuation coefficient time domain by MATLAB softwaresC(t) fast Fourier is carried out Variation changes function to obtain corresponding frequency domain;
(2) ORIGIN softwares are used to carry out global search to the frequency domain variation function that step (1) obtains, by each Frequency point Data are arranged in order according to the descending sequence of amplitude, are chosen amplitude and are come the Frequency point of front three as calculating Frequency point.
Step 3:Determined using analytic hierarchy process (AHP) calculate weight of the amplitude in the integrated evaluating method of Frequency point because Son obtains three rank synthesis oscillation pressures of pump by each amplitude weight factor corresponding with its for calculating Frequency point calculate By force, pump flow-induced vibration performance is judged according to three rank synthesis oscillation pressure of the pump, three rank synthesis oscillation pressure of the pump are got over Greatly, pump flow-induced vibration performance is poorer, specific as follows:
S1:Judge layer matrix A according to the correlation structure of each calculating Frequency point and its amplitude is intermediate, it is specific as follows:
Three data for calculating Frequency point are arranged in order according to amplitude is descending as (f1,A1)、(f2,A2)、(f3, A3), (f1,A1)、(f2,A2)、(f3,A3), concrete numerical value be (386.667,0.0246), (48.333,0.0041), (870, 0.0024)。
Define element aij(i<The value of j, i and j are 1,2 or value 3) is closest to bijA positive integer, Andaii=1, aijMeaning be:About calculate Frequency point amplitude for pump flow-induced vibration importance, i-th Calculate a that Frequency point amplitude is j-th of calculating Frequency point amplitudeijTimes, utilize formulaDetermine b12=6, b13= 10.25,b23=1.7083, the immediate positive integer of these numerical value is taken, and be defined as a12、a13、a23, its concrete numerical value be respectively 6、10、2.It is then specifically intermediate to judge that layer each element value is as follows:a11=1, a12=6, a13=10, a21=1/6, a22=1, a23 =2, a31=1/10, a32=1/2, a33=1.Centre, which is built, with this judges layer matrix
S2:Operating specification column average method judges that layer A is calculated to centre, obtains each weight for calculating Frequency point amplitude The factor;
Layer matrix A, which is normalized, to be judged to centre first, obtains matrixI.e.WhereinIt sums to each row element of B matrixes and carries out normalizing Change handles to obtain feature vectorI.e.WhereinElement in W matrixes is Be weight factor of the amplitude to pump flow-induced vibration of each calculating Frequency point, then it is each to calculate body vibration of the Frequency point to pump The weight factor d of performance is respectively d1=0.7862, d2=0.1396, d3=0.0742.
S3:Three rank synthesis oscillation pressure of pump are calculatedWherein ρ is fluid Density;U is the peripheral speed of monitoring point at impeller outlet, and the smaller representative pump flow-induced vibration performance of L values is better, and L values are bigger It is poorer to represent pump flow-induced vibration performance.In the present embodiment
L=(0.7862*0.0246+0.1396*0.0041+0.0742*0.0024) * 93200=1872.4775, according to The flow-induced vibration performance synthesis that this numerical value can carry out between selected pump and other pumps is assessed compared with.The small pump of L numerical value, Its flow-induced vibration performance pump big better than L numerical value.
The embodiment is the preferred embodiments of the present invention, but present invention is not limited to the embodiments described above, not Away from the present invention substantive content in the case of, those skilled in the art can make it is any it is conspicuously improved, replace Or modification all belongs to the scope of protection of the present invention.

Claims (6)

1. a kind of pump flow-induced vibration performance comprehensive evaluation method, which is characterized in that comprise the steps of:
Step 1:It chooses and is used as monitoring point at impeller outlet, the pressure arteries and veins of monitoring point is obtained using experimental test or numerical computations Dynamic data, and calculate the pressure fluctuation coefficient time domain variation function of nondimensionalization;
Step 2:Fast Fourier variation is carried out to pressure fluctuation coefficient time domain variation function and changes function to obtain frequency domain, into Row full range domain search, it is to calculate Frequency point to choose first three Frequency point from big to small by amplitude;
Step 3:Weight of the amplitude for calculating Frequency point in pumping flow-induced vibration overall merit is determined using analytic hierarchy process (AHP) The factor obtains three rank synthesis oscillations of pump by each amplitude for calculating Frequency point and corresponding weight factor calculate Pressure judges pump flow-induced vibration performance, three rank synthesis oscillation pressure of the pump according to three rank synthesis oscillation pressure of the pump Bigger, then it is poorer to pump flow-induced vibration performance, and three rank synthesis oscillation pressure of pump are smaller, then pump flow-induced vibration performance and get over It is good.
2. pump flow-induced vibration performance comprehensive evaluation method according to claim 1, which is characterized in that
It in the step 1, when obtaining data using experimental test, chooses and is used as monitoring point at impeller outlet, when pump stable operation After can carry out data sampling, sample frequency fsIt is chosen to be 1000f1, f1For the axis frequency of pump, duration t=2T, T are pump to be measured Swing circle;
When obtaining pressure fluctuation data using numerical computations, it sets correct permanent result of calculation to the initial of unsteady computation Condition, and unsteady computation time step is setCalculating total time is 7T, chooses the number in most latter two period According to as pressure fluctuation data.
3. pump flow-induced vibration performance comprehensive evaluation method according to claim 1, which is characterized in that
In the step 1, after obtaining pressure fluctuation data, the invalid data in pressure fluctuation data and and temporal information are removed Match, obtains pressure fluctuation time domain variation function Fp(t), obtained pressure fluctuation time domain is changed using data processing software Function Fp(t) variation is pressure fluctuation coefficient CPTime domain variation function FC(t), nondimensionalization is realized, whereinP is The static pressure of monitoring point at impeller outlet;For the average static pressure of 1 swing circle inner impeller exit monitoring point;ρ is that fluid is close Degree;U is the peripheral speed of monitoring point at impeller outlet.
4. pump flow-induced vibration performance comprehensive evaluation method according to claim 1, which is characterized in that the step 2 It is specific as follows:
(1) function F is changed to obtained pressure fluctuation coefficient time domain by Data Analysis SoftwareC(t) fast Fourier variation is carried out Change function to obtain corresponding frequency domain;
(2) Data Analysis Software is used to carry out global search to the frequency domain variation function that step (1) obtains, by the number of each Frequency point It is arranged in order according to according to the descending sequence of amplitude, chooses amplitude and come the Frequency point of front three as calculating Frequency point.
5. pump flow-induced vibration performance comprehensive evaluation method according to claim 1, which is characterized in that the step 3 It is specific as follows:
S1:Judge layer matrix A according to the correlation structure of each calculating Frequency point and its amplitude is intermediate, it is specific as follows:
Three data for calculating Frequency point are arranged in order according to amplitude is descending as (f1,A1)、(f2,A2)、(f3,A3), Define element aij(i<The value of j, i and j are 1,2 or value 3) is closest to bijA positive integer,Andaii=1;
aijMeaning be:About calculating Frequency point amplitude for the importance of pump flow-induced vibration, i-th of calculating Frequency point width The a that value calculates Frequency point amplitude for j-thijTimes, with aijStructure is intermediate to judge layer matrix
S2:Operating specification column average method to centre judge that layer A is calculated, obtain it is each calculating Frequency point amplitude weight because Son;
Layer matrix A, which is normalized, to be judged to centre first, obtains matrixWhereinIt sums to each row element of B matrixes and is normalized to obtain feature vectorIts InElement in W matrixes be it is each calculate Frequency point amplitude to pump flow-induced vibration weight because Son;
S3:Three rank synthesis oscillation pressure of pump are calculatedWherein ρ is fluid density;u For the peripheral speed of monitoring point at impeller outlet, the smaller representative pump flow-induced vibration performance of L values is better, the bigger representative pump of L values Flow-induced vibration performance is poorer..
6. pump flow-induced vibration performance comprehensive evaluation method according to claim 4, which is characterized in that the data point It is MATLAB softwares or ORIGIN softwares to analyse software.
CN201810361545.3A 2018-04-20 2018-04-20 A kind of pump flow-induced vibration performance comprehensive evaluation method Pending CN108664710A (en)

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