CN106052958B - A kind of single-axle air bearing table balancing method and system - Google Patents
A kind of single-axle air bearing table balancing method and system Download PDFInfo
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- CN106052958B CN106052958B CN201610329632.1A CN201610329632A CN106052958B CN 106052958 B CN106052958 B CN 106052958B CN 201610329632 A CN201610329632 A CN 201610329632A CN 106052958 B CN106052958 B CN 106052958B
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- 238000005303 weighing Methods 0.000 claims description 7
- XEEYBQQBJWHFJM-UHFFFAOYSA-N Iron Chemical compound [Fe] XEEYBQQBJWHFJM-UHFFFAOYSA-N 0.000 claims 2
- 229910052742 iron Inorganic materials 0.000 claims 1
- 238000005259 measurement Methods 0.000 description 8
- 238000005516 engineering process Methods 0.000 description 4
- 238000004088 simulation Methods 0.000 description 4
- 238000009795 derivation Methods 0.000 description 2
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- 230000005484 gravity Effects 0.000 description 2
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- 238000004458 analytical method Methods 0.000 description 1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M1/00—Testing static or dynamic balance of machines or structures
- G01M1/30—Compensating imbalance
- G01M1/32—Compensating imbalance by adding material to the body to be tested, e.g. by correcting-weights
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Abstract
The present invention provides a kind of uniaxial air floating platform balancing method and system, belong to air floating platform balancing technical field.The described method includes: the uniaxial air floating platform for being provided with loading disk is tilted the first predetermined angular;Position when unbalance mass, on loading disk is reached movement velocity maximum value is determined as equilbrium position, and loading disk is stopped at equilbrium position;So that loading disk is freely swung after loading disk is rotated the second predetermined angular, and determines the first period of single pendulum of loading disk;It determines the first unbalance mass, value of loading disk under the conditions of the second predetermined angular, and corresponding first mass block of the first unbalance mass, value is placed on the highest position of loading disk relative level;If the first period of single pendulum of loading disk is greater than the first critical period of single pendulum, then it is assumed that by uniaxial air floating platform balancing.The present invention can carry out balancing to a plurality of types of air floating platforms, have the advantages that structurally and operationally higher compared with simple and leveling precision.
Description
Technical field
The present invention relates to a kind of uniaxial air floating platform balancing method and system, belong to air floating platform balancing technology neck
Domain.
Background technique
Single-axle air bearing table simulation system is mainly used for spacecraft in-orbit high-precision, high stability attitude control technology is tested
Card, its working principles are as follows: being passed through high pressure gas in air floating platform body, makes the air film formed between air-bearing and bearing block
The gravity for offsetting platform and load influences, while allowing air floating table that can do approximate friction free around rotation axis and being freely rotated, and leads to
The purpose that some axis is freely rotated when this full physical simulation realizes analog satellite in orbit is crossed, to spacecraft high-precision, height
Stability gesture stability effect carries out analysis verifying.
The problem of should be noted that in the movement of the ground simulation attitude of satellite is to need for the mass center of single-axle air bearing table to be placed on
On the center of rotating shaft, otherwise it will lead to because stage body cannot be completely in the feelings of horizontality and air-bearing frictional force very little
Condition makes system generate unbalanced moments, and then influences the effect of l-G simulation test.
Currently, the method for the balancing of uniaxial air floating platform mainly includes manually adjusting and automatically adjusting two kinds.Hand
Dynamic adjusting is generally by adjusting being mounted on the mode of the adjustment turntable mass center of bolt-nut mechanism on air floating table to uniaxial air floating platform
It is adjusted, and the method for adjustment can only be adjusted for specific device, be not directed to whole balancing method;Separately
Outside, the result obtained is calculated by specific formula there are also a kind of uniaxial air bearing table balance adjustment method to carry out single-axle air bearing table
Manual leveling weighing apparatus, but do not refer to specific derivation condition and analytic formula, and its balancing precision is also unable to satisfy full object
Manage the demand of emulation.
Summary of the invention
The present invention is to solve to adjust for specific device existing for the balancing technology of existing air floating platform
The lower problem of whole and balancing precision, and then a kind of uniaxial air floating platform balancing method and system are proposed, specifically
Including the following technical solution:
A kind of method of single shaft air floating platform balancing, comprising:
The uniaxial air floating platform for being provided with loading disk is tilted into the first predetermined angular;
Position when unbalance mass, on the loading disk is reached movement velocity maximum value is determined as equilbrium position, and
The loading disk is stopped at into the equilbrium position;
So that the loading disk is freely swung after the loading disk is rotated the second predetermined angular, and determines the loading disk
First period of single pendulum;
Determine the first unbalance mass, value of described under the conditions of second predetermined angular loading disk, and by described first
Corresponding first mass block of unbalance mass, value is placed on the highest position of loading disk relative level;
If the first period of single pendulum of the loading disk is greater than the first critical period of single pendulum, then it is assumed that by the uniaxial air bearing
Platform balancing.
It is described negative first mass block to be placed in uniaxial air floating platform balancing method of the present invention
Behind the highest position of load plate relative level, the method also includes:
The loading disk is rotated into third predetermined angular and determines the second period of single pendulum of the loading disk;
Determine the second unbalance mass, value of described under the conditions of third predetermined angular loading disk, and by described second
Corresponding second mass block of unbalance mass, value is placed on the highest position of loading disk relative level;
If the loading disk is greater than the second critical period of single pendulum when the second pendulum period, then it is assumed that by the uniaxial air bearing
Platform balancing.
In uniaxial air floating platform balancing method of the present invention, the second unbalance mass, value passes through following meter
Formula determines:
Wherein, T1Indicate the first period of single pendulum of the loading disk, T2Indicate the second period of single pendulum of the loading disk, m1
Indicate addition unbalance mass, block size for the first time, L1Indicate the distance between the first mass block and the centre of gyration, m2Indicate second
Unbalance mass, value, L2Indicate the distance between the second mass block and the centre of gyration.
In uniaxial air floating platform balancing method of the present invention, the first unbalance mass, value passes through following meter
Formula determines:
Wherein, m1Indicate the first unbalance mass, value, J indicates the rotary inertia of the loading disk, T1Indicate the loading disk
The first period of single pendulum, L1Indicate that the distance between the first mass block and the centre of gyration, θ indicate the inclination angle of the loading disk
Degree.
In uniaxial air floating platform balancing method of the present invention, the first critical period of single pendulum passes through following meter
Formula determines:
Wherein, Ts1Indicate the first critical period of single pendulum, mL indicates critical single pendulum parameter.
In uniaxial air floating platform balancing method of the present invention, the critical single pendulum parameter passes through following calculating formula
It determines:
mLgsinα≤M
Wherein, horizontal error, M do not indicate air-bearing moment of friction to the table top of α expression loading disk.
A kind of system of single shaft air floating platform balancing, comprising: loading disk, the mass block for adjusting parallels and predetermined quantity;
The loading disk is arranged on the pedestal of the uniaxial air floating platform by the adjustment parallels, and the adjustment parallels is born with described
The face of load plate fitting is plane, and the face that the adjustment parallels is bonded with the pedestal is cylindrical surface, the quality of the predetermined quantity
Block is used to adjust the period of single pendulum of the loading disk.
In uniaxial air floating platform leveling balance system of the present invention, the predetermined position on the loading disk is provided with
For fixing the threaded hole of the mass block.
In uniaxial air floating platform leveling balance system of the present invention, the system also includes for adjusting the load
The lifting equipment of disk tilt angle.
In uniaxial air floating platform leveling balance system of the present invention, the system also includes for measuring the load
The Angle Measuring Equipment of disk tilt angle.
The beneficial effects of the present invention are: by being placed and the first unbalance mass, during loading disk tilts and rotates
It is worth corresponding first mass block, if current period of single pendulum is greater than critical period of single pendulum, then it is assumed that by the uniaxial air floating platform
Balancing can carry out balancing to a plurality of types of air floating platforms, have structurally and operationally relatively simple and balancing precision
Higher advantage.
Detailed description of the invention
Fig. 1 is to show the flow chart of uniaxial air floating platform balancing in an illustrative manner.
Fig. 2 is to show the loading disk inclination schematic diagram of single-axle air bearing table in an illustrative manner.
Fig. 3 is to show the position view that the first mass block is placed on loading disk in an illustrative manner.
Fig. 4 is shown in an illustrative manner by placing the second mass block on loading disk to realize uniaxial air floating platform
The flow chart of balancing.
Fig. 5 is to show the position view that the second mass block is placed on loading disk in an illustrative manner.
Fig. 6 is to show the structure chart of the system of uniaxial air floating platform balancing in an illustrative manner.
Fig. 7 is to show the setting position view of adjustment parallels and lifting equipment in an illustrative manner.
Fig. 8 is to show the position view that unbalance mass, block is arranged on loading disk in an illustrative manner.
Fig. 9 is the equivalent schematic of unbalance mass, value being arranged on computational load disk that embodiment one provides.
Specific embodiment
The present embodiment proposes a kind of method of uniaxial air floating platform balancing, as shown in Figure 1, comprising:
Step 11, the uniaxial air floating platform for being provided with loading disk is tilted into the first predetermined angular.
As shown in Fig. 2, the first predetermined angular can be tilted uniaxial air floating platform disk by lifting equipments such as jack, when negative
When load plate is rotated because of inclination, the torque that unbalance mass, provides makes loading disk do simple harmonic motion.
Step 12, the position when unbalance mass, on loading disk being reached movement velocity maximum value is determined as balance position
It sets, and loading disk is stopped at into equilbrium position.
Since mass of system is unbalanced, unbalance mass, can be to the minimum end motion of loading disk, at this time can be according to angle
The movement velocity of unbalance mass, is reached maximum corresponding position and is recorded as equilbrium position, most by the measurement result of measuring device
Unbalance mass, is stopped at into the equilbrium position again.
Step 13, so that loading disk is freely swung after loading disk being rotated the second predetermined angular, and determine the first of loading disk
Period of single pendulum.
Loading disk can be rotated into the second predetermined angular again manually, then loosed one's grip so that loading disk freely swings, in loading disk
The first period of single pendulum of loading disk is recorded during being freely rotated.
Step 14, the first unbalance mass, value of loading disk under the conditions of the second predetermined angular is determined, and uneven by first
Corresponding first mass block of weighing apparatus mass value is placed on the highest position of loading disk relative level.
Optionally, the first unbalance mass, value can be determined by following calculating formula:
Wherein, m1Indicate the first unbalance mass, value, J indicates the rotary inertia of the loading disk, T1Indicate the loading disk
The first period of single pendulum, L1Indicate that the distance between the first mass block and the centre of gyration, θ indicate the inclination angle of the loading disk
Degree.
As shown in figure 3, by the m obtained is calculated by above-mentioned calculating formula1Corresponding first mass block is placed on loading disk phase
To the highest position of horizontal plane, the distance between the position and the centre of gyration are L1。
Step 15, if the first period of single pendulum of loading disk is greater than the first critical period of single pendulum, then it is assumed that by uniaxial air bearing
Platform balancing.
Optionally, which is determined by following calculating formula:
mLgsinα≤M
Wherein, Ts1Indicate the first critical period of single pendulum, mL indicates critical single pendulum parameter, and α indicates the table top of loading disk not water
Flat error, M indicate air-bearing moment of friction.
As the first period of single pendulum T of loading disk1Greater than the T for calculating acquisitions1When, by when uniaxial air floating platform zoom level not
There are unbalanced moments, then it is assumed that by uniaxial air floating platform balancing, it is no longer necessary to increase mass block.Complete uniaxial air bearing
After platform balancing process, loading disk can also be put to level by jack.
In an alternative embodiment, as shown in figure 4, first mass block is placed on loading disk relative level in step 14
Behind highest position, the method also includes:
Step 41, loading disk is rotated into third predetermined angular and determines the second period of single pendulum of loading disk.
Since the error for measuring and calculating exists, uniaxial air floating platform is it is possible that injustice after increasing mass block for the first time
The case where weighing apparatus, therefore can be under conditions of the second predetermined angular, by the way that loading disk rotation third predetermined angular is laid equal stress on new record
Second period of single pendulum of loading disk.
Step 42, the second unbalance mass, value of loading disk under the conditions of third predetermined angular is determined, and uneven by second
Corresponding second mass block of weighing apparatus mass value is placed on the highest position of loading disk relative level.
Optionally, which can be determined by following calculating formula:
Wherein, T1Indicate the first period of single pendulum of loading disk, T2Indicate the second period of single pendulum of loading disk, m1Indicate first
Secondary addition mass block unbalance mass, size, L1Indicate the distance between the first mass block and the centre of gyration, m2Indicate that second is uneven
Weigh mass value, L2Indicate the distance between the second mass block and the centre of gyration.
As shown in figure 5, by the m obtained is calculated by above-mentioned calculating formula1Corresponding first mass block is placed on loading disk phase
To the highest position of horizontal plane, the distance between the position and the centre of gyration are L1。
Step 43, if the current period of single pendulum of loading disk is greater than the second critical period of single pendulum, then it is assumed that by uniaxial air bearing
Platform balancing.
Method identical with step 15 can be used and calculate the second critical period of single pendulum T of acquisitions2, when the second single pendulum of loading disk
Cycle T2Greater than the second critical period of single pendulum T for calculating acquisitions2When, then it is assumed that by uniaxial air floating platform balancing.
The technical solution proposed using the present embodiment, by being placed with first not during loading disk tilts and rotates
Corresponding first mass block of mass value is balanced, if current period of single pendulum is greater than critical period of single pendulum, then it is assumed that by the single shaft
Air floating platform balancing can carry out balancing to a plurality of types of air floating platforms, have structurally and operationally relatively simple and adjust
The flat higher advantage of precision.
The system that the present embodiment also proposed a kind of uniaxial air floating platform balancing, as shown in Figure 6 and Figure 7, comprising: load
Disk 1, the mass block for adjusting parallels 2 and predetermined quantity;The pedestal 4 of uniaxial air floating platform is arranged in by adjusting parallels 2 for loading disk 1
On, the face that adjustment parallels 2 is bonded with loading disk 1 is plane, and the face that adjustment parallels 2 is bonded with pedestal 4 is cylindrical surface, predetermined quantity
Mass block 2 be used to adjust the period of single pendulum of loading disk 1.
In an alternative embodiment, as shown in Figure 6 and Figure 7, the system also includes for adjusting 1 tilt angle of loading disk
Lifting equipment 5, which can be used hydraulic jack.
In an alternative embodiment, as shown in figure 8, being provided in the predetermined position of loading disk 1 for fixing predetermined quality
The threaded hole 6 of block.
In an alternative embodiment, the system also includes the Angle Measuring Equipments for measuring 1 tilt angle of loading disk.
Pedestal 4 is jacked up into an angle by hydraulic jack, uniaxial air floating platform can be made to generate unbalanced moments in this way,
It is then mended in corresponding position so that loading disk 1 carries out simple harmonic motion by unbalance mass, size on computational load disk 1
Repay the process to realize balancing.When the inclination of uniaxial air floating platform, common parallels safe cannot support and not increase side
Pedestal 4, therefore the upper surface for adjusting parallels 2 is designed to plane by the present embodiment, and adds pedestal 4 with adjustment 2 joint place of parallels
For work at cylindrical surface, the position that four be bonded with pedestal 4 adjust parallels 2 and wherein equipment 6 is arranged is as shown in Figure 6 and Figure 7.
It is carried out specifically below by method of the specific embodiment to uniaxial air floating platform balancing proposed by the present invention
It is bright.
Embodiment one
The formula for calculating unbalance mass, value is derived first:
By uniaxial air floating platform tilt angle theta, as shown in figure 9, when loading disk is rotated because of inclination, unbalance mass,
There is provided torque makes loading disk do simple harmonic motion, obtains following calculating formula according to equalising torque:
J α=Gsin θ sinxL (1)
Wherein, J indicates that the rotary inertia of loading disk, α indicate loading disk angular acceleration, and G expression causes unbalance mass, block
Gravity, θ indicate uniaxial air floating platform tilt angle, and x indicates loading disk current location to equilbrium position when doing simple harmonic motion
Angle.
The period for obtaining simple harmonic motion is calculated using following calculating formulas:
It acquires:
Period of single pendulum is acquired again:
Unbalance mass, size:
X in calculating formula (5)mIndicate the maximum angle that single pendulum is swung;, the mass center of L expression unbalance mass, is into revolution
The distance of the heart.
Through calculating formula (6) as can be seen that when unbalance mass, is smaller, period of single pendulum is bigger, therefore can use list
The value in period is put to judge the balanced degree of uniaxial air floating platform, and obtain single pendulum week using Angle Measuring Equipment and counter
The value of phase calculates the value of unbalance mass,.
Due to the rotary inertia of system, loading disk inclination angle in measurement there are error, by utilizing for the first time
The calculating of formula (7) is after loading disk high point adds mass block, and system is not at equilibrium state, therefore to its period of single pendulum weight
New count obtains T2, the size for needing to add mass block again is calculated using following formula
The inclination angle of the rotary inertia, loading disk of elimination system in the formula (9) of unbalance mass, size is calculated to its shadow
It rings, need to only utilize the period of single pendulum size of counter accurate recording twice, and the size of period of single pendulum can be by multiple
Measurement obtains more accurately numerical value.
Also need to calculate when complete balancing process during balancing, i.e., when loading disk table top is in not horizontal error
When inclined angle alpha, the unbalanced moments generated is less than moment of friction M, i.e. the formula mgLsin α≤M of air-bearing, recycles public
Formula (6) calculates critical period of single pendulum size, when system period of single pendulum is greater than the critical period of single pendulum calculated, it is believed that be
System balance.It is further illustrated here with specific data, the moment of friction 50gcm of system, the not horizontal error of loading disk
Respectively 15 ", 30 ", the following table 1,2 provide under different quality block mass center to rotation center distance corresponding unbalance mass, size and
The corresponding period of single pendulum situation of difference rotary inertia 2 ° of inclination angle.
The size of unbalance mass, under 1 difference L of table
Not horizontal error angle | L=0.4m | L=0.6m | L=0.8m | L=1m | L=1.2m | L=1.5m |
α=15 " | 17.2kg | 11.4kg | 8.59kg | 6.87kg | 5.73kg | 4.58kg |
α=30 " | 8.9kg | 5.7kg | 4.29kg | 3.43kg | 2.87kg | 2.29kg |
Period of single pendulum under the different rotary inertias in 2 ° of 2 inclination angle of table
It can be seen that by upper table when system period of single pendulum is more than 2 corresponding period of single pendulum size of table, that is, complete leveling
Weighing apparatus process, it is no longer necessary to add mass block.
The process of uniaxial air floating platform balancing described in the present embodiment is given below:
Step 1, uniaxial air floating platform is tilted using hydraulic jack, jack is made to stretch out its maximum height 65mm,
Measuring the inclined angle, θ of loading disk with angular instrument at this time is 2 ° or so;
Step 2, since loading disk quality is unbalanced, unbalance mass, can be set to minimum end motion using angle measurement
It is recorded as the equilbrium position of loading disk for position corresponding when movement velocity is reached maximum value, and loading disk is stopped at into balance
Near position;
Step 3, loading disk is rotated 5 ° or so, and loading disk is made to freely swing, utilize counter records the first single pendulum week
Phase T1Step 4, formula is utilizedFind out the first unbalance mass, value;
Step 5, above-mentioned formula is calculated to the m obtained1Corresponding first mass block is placed on loading disk relative level most
High position;
Step 6, since the error for measuring and calculating exists, uniaxial air floating platform may not reach after increasing mass block for the first time
To balance, therefore repeats the above steps and 3 record the second period of single pendulum T again2, calculate and need increased second unbalance mass, value
m2;
Step 7, using formula mLgsin α≤M, the value of mL is calculated, recycles calculating formula (6) to calculate and obtains critical single pendulum
Period, when system period of single pendulum is greater than the critical period of single pendulum for calculating and obtaining, if by uniaxial air floating platform zoom level Shi Bucun
In unbalanced moments, then it is assumed that the uniaxial modulated balance of air floating platform, it is no longer necessary to increase mass block;
Step 8, after completing uniaxial air floating platform balancing process, hydraulic jack is put down, entire balancing process
Terminate.
Can also include following embodiment during above-mentioned uniaxial air floating platform balancing:
Embodiment 1:
In the calculating formula derivation process for carrying out unbalance mass, value, in order to derive conveniently, sinx ≈ x, therefore x degree are taken
Bigger, the period of single pendulum error that acquisition is calculated in calculating formula is bigger, therefore swing angle is maintained at by test process as far as possible every time
Within 20 °, so as to improve the accuracy for calculating unbalance mass, value.
Embodiment 2:
The balancing the step of, the period of single pendulum of loading disk can be taken multiple measurements, in this way increase measurement period
Accuracy, and then improve the precision for calculating unbalance mass,.Test process as far as possible in a closed environment, avoids the environment shadow such as windage
Sound has an impact measurement result.
Embodiment 3:
In balancing step, when carrying out second of addition mass block, the calculating of size can use following meter
Formula determines:
The influence of system rotary inertia and loading disk incline measurement error to calculation formula can be eliminated in this way, on condition that
The rotary inertia that the mass block added for the first time generates is much smaller than the rotary inertia of system.
Embodiment 4:
Calculate the unbalance mass, block obtained be mounted on loading disk there are threaded mounting hole on, and it is uniaxial
The pedestal side of air floating platform and the adjustment parallels cooperation for using cylindrical surface, uniaxial air floating platform inclination rear base and adjustment parallels
Directly still can contact with retaining surface with face, avoid uniaxial air floating platform quality excessive and pedestal, stage body damaged.
Embodiment 5:
The method for the uniaxial air floating platform balancing that the present embodiment proposes can be applied to the uniaxial air floating platform of large bearing capacity
In equipment, the range of applicable rotary inertia is 3000~8000kgm2, and the range of the moment of friction of general air-bearing
For 10~50gcm, therefore by calculating formula mLgsin α≤M, the value for obtaining and finding out mL can be calculated, it is final calculate obtain it is critical
The value of period of single pendulum, therefore addition matter is not needed when the period of single pendulum of loading disk is greater than the critical period of single pendulum for calculating and obtaining
Amount, then it is assumed that the uniaxial modulated balance of air floating platform.
The technical solution proposed using the present embodiment, by being placed with first not during loading disk tilts and rotates
Corresponding first mass block of mass value is balanced, if current period of single pendulum is greater than critical period of single pendulum, then it is assumed that by the single shaft
Air floating platform balancing can carry out balancing to a plurality of types of air floating platforms, have structurally and operationally relatively simple and adjust
The flat higher advantage of precision.
Present embodiment is that technical solution of the present invention is clearly and completely described, and embodiment therein is only
It is only a part of the embodiments of the present invention, and is not whole embodiments.Based on the embodiments of the present invention, art technology
Personnel's all other embodiment obtained under the premise of not passing through creative work belongs to protection model of the invention
It encloses.
Claims (10)
1. a kind of single shaft air floating platform balancing method characterized by comprising
The uniaxial air floating platform for being provided with loading disk is tilted into the first predetermined angular;
Position when unbalance mass, on the loading disk is reached movement velocity maximum value is determined as equilbrium position, and by institute
It states loading disk and stops at the equilbrium position;
So that the loading disk is freely swung after the loading disk is rotated the second predetermined angular, and determines the first of the loading disk
Period of single pendulum;
Determine the first unbalance mass, value of the loading disk described under the conditions of second predetermined angular, and uneven by described first
Corresponding first mass block of weighing apparatus mass value is placed on the highest position of loading disk relative level;
If the first period of single pendulum of the loading disk is greater than the first critical period of single pendulum, then it is assumed that by the uniaxial air floating platform
Balancing.
2. single shaft air floating platform balancing method as described in claim 1, which is characterized in that put by first mass block
It sets behind the highest position of loading disk relative level, the method also includes:
The loading disk is rotated into third predetermined angular and determines the second period of single pendulum of the loading disk;
Determine the second unbalance mass, value of the loading disk described under the conditions of the third predetermined angular, and uneven by described second
Corresponding second mass block of weighing apparatus mass value is placed on the highest position of loading disk relative level;
If the second period of single pendulum of the loading disk is greater than the second critical period of single pendulum, then it is assumed that by the uniaxial air floating platform
Balancing.
3. single shaft air floating platform balancing method as claimed in claim 2, which is characterized in that the second unbalance mass, value
It is determined by following calculating formula:
Wherein, T1Indicate the first period of single pendulum of the loading disk, T2Indicate the second period of single pendulum of the loading disk, m1It indicates
The size of unbalance mass, mass block, L are added for the first time1Indicate the distance between the first mass block and the centre of gyration, m2Indicate the
Two unbalance mass, values, L2Indicate the distance between the second mass block and the centre of gyration.
4. single shaft air floating platform balancing method as claimed in claim 2, which is characterized in that the first unbalance mass, value
It is determined by following calculating formula:
Wherein, m1Indicate the first unbalance mass, value, J indicates the rotary inertia of the loading disk, T1Indicate the of the loading disk
One period of single pendulum, L1Indicate that the distance between the first mass block and the centre of gyration, θ indicate the tilt angle of the loading disk.
5. single shaft air floating platform balancing method as claimed in claim 4, which is characterized in that the first critical period of single pendulum
It is determined by following calculating formula:
Wherein, Ts1Indicate the first critical period of single pendulum, mL indicates critical single pendulum parameter.
6. single shaft air floating platform balancing method as claimed in claim 5, which is characterized in that the critical single pendulum parameter passes through
Following calculating formula determines:
mLgsinα≤M
Wherein, horizontal error, M do not indicate air-bearing moment of friction to the table top of α expression loading disk.
7. a kind of system of single shaft air floating platform balancing characterized by comprising loading disk, adjustment parallels and predetermined quantity
Mass block;The loading disk is arranged on the pedestal of the uniaxial air floating platform by the adjustment parallels, the adjusting pad
The face that iron is bonded with the loading disk is plane, and the face that the adjustment parallels is bonded with the pedestal is cylindrical surface, described predetermined
The mass block of quantity is used to adjust the period of single pendulum of the loading disk.
8. the system of single shaft air floating platform balancing as claimed in claim 7, which is characterized in that pre- on the loading disk
Positioning installs the threaded hole being equipped with for fixing the mass block.
9. the system of single shaft air floating platform balancing as claimed in claim 7 or 8, which is characterized in that the system also includes
For adjusting the lifting equipment of the loading disk tilt angle.
10. the system of single shaft air floating platform balancing as claimed in claim 7 or 8, which is characterized in that the system also includes
For measuring the Angle Measuring Equipment of the loading disk tilt angle.
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CN201610329632.1A CN106052958B (en) | 2016-05-18 | 2016-05-18 | A kind of single-axle air bearing table balancing method and system |
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