CN106052988A - System and method of identifying oil film rigidity and damping of hydrostatic pressure guide rail - Google Patents
System and method of identifying oil film rigidity and damping of hydrostatic pressure guide rail Download PDFInfo
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- CN106052988A CN106052988A CN201610299120.5A CN201610299120A CN106052988A CN 106052988 A CN106052988 A CN 106052988A CN 201610299120 A CN201610299120 A CN 201610299120A CN 106052988 A CN106052988 A CN 106052988A
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- hydrostatic slideway
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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
- G01M7/00—Vibration-testing of structures; Shock-testing of structures
- G01M7/02—Vibration-testing by means of a shake table
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Abstract
The present invention discloses a system and method of identifying oil film rigidity and damping of a hydrostatic pressure guide rail. The system comprises a vibration test experiment table, a guide rail, a pressure plate and a sliding table, the guide rail is placed on the vibration test experiment table, the sliding table is arranged on the guide rail via the pressure plate, and an acceleration sensor is arranged on the pressure plate. The system also comprises an analysis system and an exciting hammer, the exciting hammer is connected with the analysis system, and the analysis system is connected with the acceleration sensor. According to the present invention, the exciting hammer is used to knock the sliding table, the acceleration sensor acquires an output signal of the pressure plate and transmits the signal to the analysis system, and the calculation of the rigidity, the viscous damping and a structural damping matrix of a hydrostatic pressure guide rail oil film combining part is realized in the analysis system; the exciting hammer is used to knock the guide rail to form a broadband excitation signal, and the rigidity and damping parameters of the hydrostatic pressure guide rail combining part are identified by an improved frequency response function method and a discrete method, so that the system and the method have the advantages of fast in identification speed and high in identification precision.
Description
Technical field
The present invention relates to the fields such as hydrostatic slideway technology, specifically, be a kind of identification hydrostatic slideway oil film
Rigidity, the system and method for damping.
Background technology
Lathe, as manufacturing machine-tool, is the foundation stone of Manufacturing Technology Development progress.The rigidity of machine tool joints with
Damping occupies the biggest proportion in lathe global stiffness and total damping, will accurately set up the kinetic model of complete machine tool, and key is just
It is to obtain joint portion rigidity, damping parameter the most accurately.Research shows, it is the most firm that machine tool joints rigidity accounts for lathe
60% the 80% of degree, joint portion damping accounts for the 90% of lathe total damping, thus, the research of machine tool joints is always for scientific research
Personnel are paid close attention to.But, the research of current people primarily focuses on joint portion in the rigidity of oil-free situation, damping parameter identification,
And hydrostatic slideway joint portion is flooded with a layer thickness very thin oil film at some tens of pm, its joint portion rigidity, damping ginseng
Number has totally different difference with traditional direct contact type joint portion.
Existing joint portion rigidity, damping parameter identification are typically the version according to joint portion, join condition, typical case
The conditions such as operating mode, are determined the joint portion simplified model that the quality of equivalence, spring, antivibrator couple, are drawn by Theoretical Calculation.And
Due to complicated stressing conditions, the difference of surface microscopic topographic and the rigidity in joint portion, the nonlinear characteristic of damping so that be from
It is extremely difficult for obtaining precise characteristics parameter in theory.
Summary of the invention
It is an object of the invention to design a kind of identification hydrostatic slideway oil film rigidity, the system and method for damping,
Described system is for realizing identification hydrostatic slideway oil film rigidity, the hardware system of damping, and utilizes power hammer power hammer percussion to lead
Rail, forms broadband excitation signal；The described method a kind of frequency response function method by improvement, and apply discrete method
The rigidity of identification hydrostatic slideway joint portion, damping parameter, have identification speed fast, the advantage that identification precision is high.
The present invention is achieved through the following technical solutions: a kind of identification hydrostatic slideway oil film rigidity, the system of damping, bag
Including vibration experiments platform, guide rail, pressing plate, slide unit, guide rail is placed in above vibration experiments platform, and slide unit is arranged on by pressing plate
On guide rail, pressing plate is provided with acceleration transducer；Also including analysis system and power hammer, power hammer is connected in analysis system,
Analysis system is connected with acceleration transducer.
Further the most described system, it is possible to utilize guide rail and pressing plate to form U-shaped cavity, and will
The two ends of slide unit are arranged in U-shaped cavity, it is simple to slide unit can slide, especially in the U-shaped cavity that pressing plate and guide rail are formed
Use following set-up mode: described pressing plate is arranged on guide rail, and pressing plate forms a pair U-shaped cavity with guide rail, described slide unit
Two ends are respectively placed in the U-shaped cavity that pressing plate and guide rail are formed；For pressing plate and guide rail can be made well to fix, thus form U
Type cavity, described pressing plate is bolted to connection on guide rail.
Further the most described system, it is possible to enable the slide unit position being placed in U-shaped cavity
For storing hydraulic oil, operationally, by the pressure oil of certain pressure in oil pocket, slide unit floats over the oil film that hydraulic oil is formed
On, slide unit does not contacts with guide rail, makes slide unit be in state of liquid friction, uses following set-up mode especially: be placed in U-shaped cavity
The position of the described slide unit contacted with guide rail and pressing plate respectively is provided with oil pocket, and is provided with hydraulic oil in oil pocket, described
During system work, slide unit floats on the oil film that hydraulic oil is formed.
Further the most described system, it is possible to be convenient for the detection of acceleration, use especially
Following set-up mode: described acceleration transducer is 4 and rectangular is arranged on pressing plate.
Further the most described system, it is possible to the acceleration information gathered is analyzed,
To realize identification hydrostatic slideway oil film rigidity, the purpose of damping, the following set-up mode of employing especially: described analysis system
Inside being provided with interconnective data collection and analysis instrument and data handling machine, data collection and analysis instrument is hammered into shape with power respectively and adds
Velocity sensor is connected.
Use a kind of identification hydrostatic slideway oil film rigidity, the system of damping realizes a kind of identification hydrostatic slideway oil
Film rigidity, the method for damping, the power hammer of employing taps slide unit, and collects, by acceleration transducer, the signal that pressing plate is exported, and
Transmit to analysis system, in analysis system, realize the rigidity to hydrostatic slideway oil film joint portion, viscous damping, structure
The calculating of damping matrix.
Further the most described method, the especially following set-up mode of employing: described identification liquid
Hydrostatic slideway oil film rigidity, the method for damping include step in detail below:
1) connect identification hydrostatic slideway oil film rigidity, the system of damping: by the output interface of acceleration transducer and
The output interface of power hammer is connected with data collection and analysis instrument, and data collection and analysis instrument is connected with data handling machine；
2) acceleration transducer is laid: for being tested data accurately, when degree of being accelerated sensor is arranged, will add
On the pressing plate of the surface that velocity sensor is arranged on oil pocket；
3) operating mode during work of simulation hydrostatic slideway, hammers the surface geometry center repeatedly tapping slide unit into shape by power,
Form the vibration of different excited frequency on slide unit, after acceleration transducer acquisition process, obtain different acceleration signals,
Data collection and analysis instrument is by gathering and process input wideband power pumping signal when different acceleration signals and power hammer percussion
After, it is input in data handling machine, in data handling machine, acceleration responsive is converted to dynamic respond, obtain not
With the power-Displacement Transfer Function under excited frequency；
4) using the software for calculation program on data handling machine, complete hydrostatic slideway oil film joint portion is firm
Degree, viscous damping, the calculating of structural damping matrix.
Further the most described method, the especially following set-up mode of employing: described step 3) bag
Include step in detail below:
3-1) tapped the geometric center on slide unit surface by power hammer so that pressing plate forms the vibration of different excited frequency；
3-2) it is arranged on the acceleration transducer above oil pocket and gathers the vibration information formed after slide unit stress hammer taps,
And the vibration information of non electrical quantity is converted to the acceleration output signal of correspondence；
Input wideband power when 3-3) data collection and analysis instrument gathers acceleration output signal and power hammer percussion respectively encourages
Signal after being filtered, changing, obtains acceleration output data, acceleration then exports data and reaches data and process and calculate
In machine, acceleration is exported data by data handling machine and is converted to displacement output data；
3-4) export data according to displacement, data handling machine obtains hydrostatic slideway in different excited frequencies
Under power-Displacement Transfer Function.
Further the most described method, the especially following set-up mode of employing: described step 4) tool
Body is: after obtaining the power-Displacement Transfer Function under different excited frequency, i.e. understand the real part G of transmission functionR(ω), imaginary part GI
(ω) then complete calculated as below by the software for calculation program on data handling machine:
(1) according to formulaCalculate and obtain not
M under same frequency1(ω)、M2(ω) value；
(2) according to formula :-ωi 2·M·M1(ωi)+K·M1(ωi)=I ... ... formula 2,
Wherein M, K, C, D are matrix format, M1(ωi)、M2(ωi)
It is ω for excited frequencyiTime value；
HaveWherein k=1,2,3 ...；N=1,2,3 ...；
(3) write formula 2 as overall format, then had:
Be converted to
Equation form has:
(4) equation group 1 one has n equation of k, containing two unknown quantitys in each equation, therefore at each equation
In bring ω intoiWith ω(i+1)And the M of correspondence1(ωi)、M2(ωi)、M1(ω(i+1))、M2(ω(i+1)), it is possible to obtain in equation
Unknown quantityWithThus obtain excited frequency at ωiWith ω(i+1)It
Between time mass matrix M and stiffness matrix K；
(5) write formula 3 as overall format, then had:
Be converted to equation form, then have:
(6) equation group 2 one has n equation of k, containing two unknown quantitys in each equation, equally in each equation
Bring ω intoiWith ω(i+1)And the M of correspondence1(ωi)、M2(ωi)、M1(ω(i+1))、M2(ω(i+1)), it is possible to obtain in equation not
The amount of knowingThus obtain excited frequency at ωiWith ω(i+1)Between time
Viscous damping matrix C and structural damping matrix D.
The present invention compared with prior art, has the following advantages and beneficial effect:
System of the present invention is for realizing identification hydrostatic slideway oil film rigidity, the hardware system of damping, and utilizes
Power hammer power hammer taps guide rail, forms broadband excitation signal；The described method a kind of frequency response function method by improvement, and should
Coming the rigidity of identification hydrostatic slideway joint portion, damping parameter by discrete method, have identification speed fast, identification precision is high
Advantage.
When the present invention works, by the pressure oil of certain pressure in oil pocket, slide unit floats on the oil film that hydraulic oil is formed,
Slide unit does not contacts with guide rail, makes slide unit be in state of liquid friction.
The present invention, by the improvement to frequency response function method, has been derived from a kind of test according to Modal Test and has drawn
The imaginary part of system frequency response function and real part, so that it may quickly determine the hydrostatic slideway rigidity square at whole frequency range
Battle array, viscous damping matrix, structural damping matrix and the method for mass matrix.
The present invention, in view of the damping of hydrostatic slideway joint portion and the nonlinear characteristic of rigidity, uses linearizing method
Can get the stiffness matrix under a certain excited frequency, viscous damping matrix, structural damping matrix and mass matrix.
The inventive method simple and fast, it is not necessary to use extra equipment, applies MATLAB software, to mode test result
Carry out computational analysis, so that it may quickly obtain hydrostatic slideway joint portion stiffness matrix, viscous damping matrix, structural damping matrix
And mass matrix.
Accompanying drawing explanation
Fig. 1 is present configuration figure.
Fig. 2 is track system configuration figure of the present invention.
Fig. 3 is the method for the invention simplified pinciple figure.
Fig. 4 is acceleration transducer schematic layout diagram of the present invention.
Fig. 5 is hydrostatic slideway h11 amplitude-versus-frequency curve.
Fig. 6 is hydrostatic slideway h22 amplitude-versus-frequency curve.
Fig. 7 is hydrostatic slideway h33 amplitude-versus-frequency curve.
Fig. 8 is hydrostatic slideway h44 amplitude-versus-frequency curve.
Wherein, 1-guide rail, 2-oil pocket, 3-pressing plate, 4-slide unit, 5-vibration experiments platform, 6-power hammer, 7-data acquisition divides
Analyzer, 8-data handling machine, 9-acceleration transducer, 10-U type cavity.
Detailed description of the invention
Below in conjunction with embodiment, the present invention is described in further detail, but embodiments of the present invention are not limited to this.
Embodiment 1:
A kind of identification hydrostatic slideway oil film rigidity, the system of damping, be used for realizing identification hydrostatic slideway oil film
Rigidity, the hardware system of damping, and utilize power hammer power hammer to tap guide rail, form broadband excitation signal, as shown in Figure 1, Figure 2, Fig. 3, Fig. 4
Shown in, it being specifically arranged to following structure: include vibration experiments platform (5), guide rail 1, pressing plate 3, slide unit 4, guide rail 1 is placed in vibration
Above test experimental bed 5, slide unit 4 is arranged on guide rail 1 by pressing plate 3, is provided with acceleration transducer 9 on pressing plate 3；Also wrap
Including analysis system and power hammer 6, power hammer 6 is connected in analysis system, and analysis system is connected with acceleration transducer 9.
Embodiment 2:
The present embodiment is to optimize further on the basis of above-described embodiment, as shown in Figure 1, Figure 2, Figure 3, Figure 4, further
The most described system, it is possible to utilize guide rail and pressing plate to form U-shaped cavity, and the two ends of slide unit arranged
In U-shaped cavity, it is simple to slide unit can slide in the U-shaped cavity that pressing plate and guide rail are formed, use the following side of setting especially
Formula: described pressing plate 3 is arranged on guide rail 1, and pressing plate 3 forms a pair U-shaped cavity 10 with guide rail 1, the two ends of described slide unit 4 are respectively
It is placed in the U-shaped cavity 10 that pressing plate 3 and guide rail 1 are formed；For pressing plate 3 and guide rail 1 can be made well to fix, thus formed U-shaped
Cavity 10, described pressing plate 3 is bolted to connection on guide rail 1.
Embodiment 3:
The present embodiment is to optimize further on the basis of any of the above-described embodiment, as shown in Figure 1, Figure 2, Figure 3, Figure 4, enters
The most described system of one step, it is possible to make the slide unit position being placed in U-shaped cavity can be used in storing liquid
Force feed, operationally, by the pressure oil of certain pressure in oil pocket, slide unit float over hydraulic oil formed oil film on, slide unit with
Guide rail does not contacts, and makes slide unit be in state of liquid friction, uses especially following set-up mode: be placed in U-shaped cavity 10 respectively with
The position of the described slide unit 4 that guide rail 1 and pressing plate 3 contact is provided with oil pocket 2, and is provided with hydraulic oil in oil pocket 2, described system
During system work, slide unit 4 floats on the oil film that hydraulic oil is formed.
Embodiment 4:
The present embodiment is to optimize further on the basis of any of the above-described embodiment, as shown in Figure 1, Figure 2, Figure 3, Figure 4, enters
The most described system of one step, it is possible to be convenient for the detection of acceleration, uses the following side of setting especially
Formula: described acceleration transducer 9 is 4 and rectangular is arranged on pressing plate 3.
Embodiment 5:
The present embodiment is to optimize further on the basis of any of the above-described embodiment, as shown in Figure 1, Figure 2, Figure 3, Figure 4, enters
The most described system of one step, it is possible to the acceleration information gathered is analyzed, in order to realize distinguishing
Know hydrostatic slideway oil film rigidity, the purpose of damping, use following set-up mode especially: in described analysis system, be provided with phase
The data collection and analysis instrument 7 connected and data handling machine 8, data collection and analysis instrument 7 passes with power hammer 6 and acceleration respectively
Sensor 9 is connected.
Embodiment 6:
Use a kind of identification hydrostatic slideway oil film rigidity, the system of damping realizes a kind of identification hydrostatic slideway oil
Film rigidity, the method for damping, as shown in Figure 1, Figure 2, Figure 3, Figure 4, use power hammer 6 percussion slide unit 4, and pass through acceleration transducer
9 collect the signal that pressing plate 3 is exported, and transmit to analysis system, realize hydrostatic slideway oil film in analysis system
The rigidity of joint portion, viscous damping, the calculating of structural damping matrix.
Embodiment 7:
The present embodiment is to optimize further on the basis of above-described embodiment, as shown in Figure 1, Figure 2, Figure 3, Figure 4, further
The most described method, use especially following set-up mode: described identification hydrostatic slideway oil film is firm
Spend, the method for damping includes step in detail below:
1) connect identification hydrostatic slideway oil film rigidity, the system of damping: by the output interface of acceleration transducer 9 and
The output interface of power hammer 3 is connected with data collection and analysis instrument 7, and data collection and analysis instrument 7 is connected with data handling machine 8；
2) acceleration transducer 9 is laid: for being tested data accurately, when degree of being accelerated sensor 9 is arranged, will
Acceleration transducer 9 is arranged on the pressing plate 3 of the surface of oil pocket 2；
3) operating mode during work of simulation hydrostatic slideway, hammers the surface geometry center of more than 6 percussion slide unit 4 into shape by power,
Slide unit 4 is formed the vibration of different excited frequency, after acceleration transducer acquisition process, obtains different acceleration letters
Number, data collection and analysis instrument 7 is encouraged by input wideband power when gathering and process different acceleration signals and power hammer 6 percussion
After signal, it is input in data handling machine 8, in data handling machine 8, acceleration responsive is converted to dynamic respond,
Obtain the power-Displacement Transfer Function under different excited frequency；
4) use the software for calculation program on data handling machine 8, complete hydrostatic slideway oil film joint portion
Rigidity, viscous damping, the calculating of structural damping matrix.
Embodiment 8:
The present embodiment is to optimize further on the basis of embodiment 6 or 7, as shown in Figure 1, Figure 2, Figure 3, Figure 4, further
The most described method, use especially following set-up mode: described step 3) include step in detail below:
3-1) by the geometric center on power hammer 6 percussion slide unit 4 surface so that pressing plate 3 forms the vibration of different excited frequency；
3-2) it is arranged on the vibration formed after the acceleration transducer 9 above oil pocket 2 gathers slide unit 4 stress hammer 6 percussion
Information, and the vibration information of non electrical quantity is converted to the acceleration output signal of correspondence；
Input wideband power when 3-3) data collection and analysis instrument 7 gathers acceleration output signal and power hammer 6 percussion respectively swashs
After encouraging signal and being filtered, change, obtain acceleration output data, then acceleration is exported data and reaches data and process meter
In calculation machine 8, acceleration is exported data by data handling machine 8 and is converted to displacement output data；
3-4) export data according to displacement, data handling machine 8 obtains hydrostatic slideway at different exciting frequencies
Power-Displacement Transfer Function under rate.
Embodiment 9:
The present embodiment is to optimize further on the basis of embodiment 6 or 7 or 8, as shown in Figure 1, Figure 2, Figure 3, Figure 4, enters
The most described method of one step, the especially following set-up mode of employing: described step 4) particularly as follows: obtain not
After the power-Displacement Transfer Function under excited frequency, i.e. understand the real part G of transmission functionR(ω), imaginary part GI(ω) then pass through
Software for calculation program on data handling machine 8 completes calculated as below:
(1) according to formulaCalculate and obtain not
M under same frequency1(ω)、M2(ω) value；
(2) according to formula :-ωi 2·M·M1(ωi)+K·M1(ωi)=I ... ... formula 2,
Wherein M, K, C, D are matrix format, M1(ωi)、M2(ωi)
It is ω for excited frequencyiTime value；
HaveWherein k=1,2,3 ...；N=1,2,3 ...；
(3) write formula 2 as overall format, then had:
Be converted to
Equation form has:
(4) equation group 1 one has n equation of k, containing two unknown quantitys in each equation, therefore at each equation
In bring ω intoiWith ω(i+1)And the M of correspondence1(ωi)、M2(ωi)、M1(ω(i+1))、M2(ω(i+1)), it is possible to obtain in equation
Unknown quantityWithThus obtain excited frequency at ωiWith ω(i+1)It
Between time mass matrix M and stiffness matrix K；
(5) write formula 3 as overall format, then had:
Be converted to equation form, then have:
(6) equation group 2 one has n equation of k, containing two unknown quantitys in each equation, equally in each equation
Bring ω intoiWith ω(i+1)And the M of correspondence1(ωi)、M2(ωi)、M1(ω(i+1))、M2(ω(i+1)), it is possible to obtain in equation not
The amount of knowingThus obtain excited frequency at ωiWith ω(i+1)Between time
Viscous damping matrix C and structural damping matrix D；
M is hydrostatic slideway mass matrix；C is viscous damping matrix；D is structural damping matrix；K is that fluid pressure is led
Rail stiffness matrix.
Embodiment 10:
The present embodiment is to optimize further on the basis of embodiment 6-9 any embodiment, as shown in Figure 1, Figure 2, Fig. 3, Fig. 4 institute
Show, a kind of identification hydrostatic slideway oil film rigidity, the method for damping:
(1) hydrostatic slideway integral damping includes viscous damping and structural damping, and wherein viscous damping is mainly by oil film
Parameter determines, structural damping is then determined by guide material itself, sets up the vibration equation of hydrostatic slideway according to stress condition,
As follows:
Mx (t)+Cx (t)+(K+jD) x (t)=f (t) ... equation 4；
In formula, M is hydrostatic slideway mass matrix；C is viscous damping matrix；D is structural damping matrix；K is liquid
Hydrostatic slideway stiffness matrix；X (t) is time m-displacement function during hydrostatic slideway vibration；F (t) is hydrostatic slideway
The time m-force function born, and
(2) equation 4 is done Laplace transformation, has:
(-ω2M+K) X (ω)+j (ω C+D) X (ω)=F (ω) ... equation 5；
Formula 6 is obtained as follows after equation 2 is arranged:
Take M1(ω)=(-ω2M+K)-1... ... formula 7,
M2(ω)=(-ω2M+K)-1(ω C+D)=M1(ω) (ω C+D) ... formula 8,
Have after arrangement: (I+jM2(ω)) X (ω)=M1(ω) F (ω) ... formula 9；
(3) have according to the concept of control theory transmission function:
Have after formula 10 is arranged: X (ω)=G (ω) F (ω) ... ... ... ... ... ... formula 11；
According to known, it is understood that transmission function includes real part and imaginary part, then formula 11 can be write as:
X (ω)=(GR(ω)+jGI(ω)) F (ω) ... ... formula 12；
In formula, GR(ω) the real part part of transmission function, G are representedI(ω) the imaginary part part of transmission function is represented.
(4) observe formula 9 and formula 12, find that two formulas have parameter X (ω), F (ω), bring formula 12 into formula 9
In, X (ω), F (ω) can be eliminated simultaneously:
GR(ω)-M2(ω)GI(ω)+j(M2(ω)GR(ω)+GI(ω))=M1(ω) ... ... ... ... formula 13；
M is only had on the right of formula 131, and M (ω)1(ω) it is real number, so formula 13 left side imaginary part sum is necessarily zero, therefore
Have:
In formula 1, the right is real part and the imaginary part of ssystem transfer function, can draw different exciting by experimental test procedures
After real part under frequencies omega and imaginary part, it is calculated M1(ω)、M2(ω)。
(5) by the M in (two) step1(ω)、M2(ω) transform format has:
M in formula 141(ω)、M2(ω) passed through (four) to calculate, and known excited frequency ω, then according to linear
Change principle, take ω and (ω+Δ ω), the hydrostatic slideway stiffness matrix under this excited frequency and damping square can be calculated
Battle array.
1) laying of sensor, the measurement sensor laid in application is the most, and the result of identification more can reflect the dynamic of system
Step response, but too much sensor, not only workload is huge, makes test process complicated, and also can result in measuring accuracy
Decline, therefore, in this method is applied, lay four acceleration sensings altogether on slide unit 4 above the oil pocket 2 of four rectangles
Device 9, in test by the transfer function matrix on acquisition 4 × 4 rank.Use Cera Flava that acceleration transducer 9 and slide unit 4 are carried out even
Connect, use acceleration transducer (three-dimensional acceleration transducer) the response signal of guide rail to be acquired, to adding during subsequent treatment
Rate signal carries out twice integration just can obtain the vibration displacement signal at this position.
2) selection this method of impacting point makes firmly to hammer 6 into shape and taps in slide unit 4 upper surface geometric center, input wideband with
Machine signal, encourages guide rail.
3) method of testing, impulse excitation test uses single point excitation, the method for more points collection, and bed knife hammers impacting point into shape, no
Offset moves the position of three-dimensional acceleration transducer.In testing experiment, in order to reduce error, use and repeatedly trigger in same point,
The method averaged is to calculate final frequency response function.Test carries out four groups of percussions altogether, taps every time and obtains frequency response letter
The string of matrix number, finally obtains the transfer function matrix on 4 × 4 rank.
4) this test of testing equipment uses Germany M+P company Dytran3032A three-dimensional acceleration transducer, Vibpilot
Dynamic test carries out Data acquisition and issuance with analyzing software.Test frequency avoids poor low of acceleration transducer measuring accuracy
Frequency range, and contain the operating frequency of lathe, choosing test frequency range is 50Hz～600Hz.
5) identification result, according to formula 11,12, application MATLAB software programming algorithm is to hydrostatic slideway joint portion
Structural parameters carry out identification.In identification algorithm, two angular frequencies of input 50Hz～1000Hz scope, guide rail can be obtained
Mass matrix M, stiffness matrix K, viscous damping matrix C, structural damping D.In view of hydrostatic slideway joint portion rigidity, damping
Non-linear, use Linearization Principle, take ω, ω+Δ ω and calculate dynamic characteristic parameter, in use, employing three-dimensional acceleration
Sensor, has finally been calculated the stiffness matrix in tri-directions of X, Y, Z, viscous damping matrix, structural damping matrix and quality
Matrix.As shown in table 1, table 2, table 3.
Under table 1 different frequency, hydrostatic slideway X is to characterisitic parameter
Hydrostatic slideway Y-direction characterisitic parameter under table 2 different frequency
Hydrostatic slideway Z-direction characterisitic parameter under table 3 different frequency
The above, be only presently preferred embodiments of the present invention, and the present invention not does any pro forma restriction, every depends on
Any simple modification of being made above example according to the technical spirit of the present invention, equivalent variations, each fall within the protection of the present invention
Within the scope of.
Claims (9)
1. an identification hydrostatic slideway oil film rigidity, the system of damping, it is characterised in that: include vibration experiments platform
(5), guide rail (1), pressing plate (3), slide unit (4), guide rail (1) be placed in vibration experiments platform (5) top, slide unit (4) passes through pressing plate
(3) it is arranged on guide rail (1), pressing plate (3) is provided with acceleration transducer (9)；Also include analysis system and power hammer (6),
Power hammer (6) is connected in analysis system, and the system of analysis is connected with acceleration transducer (9).
A kind of identification hydrostatic slideway oil film rigidity the most according to claim 1, the system of damping, it is characterised in that:
Described pressing plate (3) is arranged on guide rail (1), and pressing plate (3) forms a pair U-shaped cavity (10), described slide unit (4) with guide rail (1)
Two ends be respectively placed in the U-shaped cavity (10) that pressing plate (3) and guide rail (1) are formed.
A kind of identification hydrostatic slideway oil film rigidity the most according to claim 2, the system and method for damping, its feature
It is: the position of the described slide unit (4) contacted with guide rail (1) and pressing plate (3) respectively in being placed in U-shaped cavity (10) is provided with oil
Chamber (2), and it is provided with hydraulic oil in oil pocket (2).
4. according to a kind of identification hydrostatic slideway oil film rigidity, the system of damping and the side described in any one of claim 1-3
Method, it is characterised in that: described acceleration transducer (9) is 4 and rectangular is arranged on pressing plate (3).
5. according to a kind of identification hydrostatic slideway oil film rigidity, the system of damping and the side described in any one of claim 1-3
Method, it is characterised in that: it is provided with interconnective data collection and analysis instrument (7) and data handling machine in described analysis system
(8), data collection and analysis instrument (7) is connected with power hammer (6) and acceleration transducer (9) respectively.
6. use a kind of identification hydrostatic slideway oil film rigidity described in any one of claim 1-5, the system of damping realizes
A kind of identification hydrostatic slideway oil film rigidity, the method for damping, it is characterised in that: use power hammer (6) to tap slide unit (4), and
Collect, by acceleration transducer (9), the signal that pressing plate (3) is exported, and transmit to analysis system, real in analysis system
Now to the rigidity of hydrostatic slideway oil film joint portion, viscous damping, the calculating of structural damping matrix.
A kind of identification hydrostatic slideway oil film rigidity the most according to claim 6, the method for damping, it is characterised in that:
Described identification hydrostatic slideway oil film rigidity, the method for damping include step in detail below:
1) identification hydrostatic slideway oil film rigidity, the system of damping are connected: by output interface and the power of acceleration transducer (9)
The output interface of hammer (3) is connected with data collection and analysis instrument (7), and data collection and analysis instrument (7) is with data handling machine (8) even
Connect；
2) acceleration transducer (9) is laid: for being tested data accurately, when degree of being accelerated sensor (9) is arranged, will
Acceleration transducer (9) is arranged on the pressing plate (3) of the surface of oil pocket (2)；
3) operating mode during work of simulation hydrostatic slideway, repeatedly taps the surface geometry center of slide unit (4) by power hammer (6),
In the upper vibration forming different excited frequency of slide unit (4), after acceleration transducer acquisition process, obtain different acceleration
Signal, data collection and analysis instrument (7) is by gathering and process input wideband when different acceleration signals and power hammer (6) percussion
After power pumping signal, it is input in data handling machine (8), in data handling machine (8), acceleration responsive is changed
For dynamic respond, obtain the power-Displacement Transfer Function under different excited frequency；
4) using the software for calculation program on data handling machine (8), complete hydrostatic slideway oil film joint portion is firm
Degree, viscous damping, the calculating of structural damping matrix.
A kind of identification hydrostatic slideway oil film rigidity the most according to claim 7, the method for damping, it is characterised in that:
Described step 3) include step in detail below:
3-1) tapped the geometric center on slide unit (4) surface by power hammer (6) so that pressing plate (3) forms shaking of different excited frequency
Dynamic；
Formed after 3-2) being arranged on acceleration transducer (9) collection slide unit (4) stress hammer (6) percussion of oil pocket (2) top
Vibration information, and the vibration information of non electrical quantity is converted to the acceleration output signal of correspondence；
Input wideband power when 3-3) data collection and analysis instrument (7) gathers acceleration output signal and power hammer (6) percussion respectively swashs
After encouraging signal and being filtered, change, obtain acceleration output data, then acceleration is exported data and reaches data and process meter
In calculation machine (8), acceleration is exported data by data handling machine (8) and is converted to displacement output data；
3-4) export data according to displacement, data handling machine (8) obtains hydrostatic slideway in different excited frequencies
Under power-Displacement Transfer Function.
A kind of identification hydrostatic slideway oil film rigidity the most according to claim 8, the method for damping, it is characterised in that:
Described step 4) particularly as follows: after power-Displacement Transfer Function of obtaining under different excited frequency, i.e. understand the real part G of transmission functionR
(ω), imaginary part GI(ω) then complete calculated as below by the software for calculation program on data handling machine (8):
(1) according to formulaCalculate and obtain different frequency
M under rate1(ω)、M2(ω) value；
(2) according to formula :-ωi 2·M·M1(ωi)+K·M1(ωi)=I ... ... formula 2,
Wherein M, K, C, D are matrix format, M1(ωi)、M2(ωi) it is sharp
Vibration frequency is ωiTime value；
HaveWherein k=1,2,3 ...；N=1,2,3 ...；
(3) write formula 2 as overall format, then had:
Be converted to equation lattice
Formula has:
(4) equation group 1 one has n equation of k, containing two unknown quantitys in each equation, therefore carry in each equation
Enter ωiWith ω(i+1)And the M of correspondence1(ωi)、M2(ωi)、M1(ω(i+1))、M2(ω(i+1)), it is possible to obtain the unknown in equation
AmountWithThus obtain excited frequency at ωiWith ω(i+1)Between time
Mass matrix M and stiffness matrix K；
(5) write formula 3 as overall format, then had:
Be converted to equation form, then have:
(6) equation group 2 one has n equation of k, containing two unknown quantitys in each equation, brings into equally in each equation
ωiWith ω(i+1)And the M of correspondence1(ωi)、M2(ωi)、M1(ω(i+1))、M2(ω(i+1)), it is possible to obtain the unknown quantity in equationThus obtain excited frequency at ωiWith ω(i+1)Between time viscous
Property damping matrix C and structural damping matrix D.
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