CN103604562B - Two-dimensional rotating mechanism and testing device and method for rotational inertia of complex parts of two-dimensional rotating mechanism - Google Patents
Two-dimensional rotating mechanism and testing device and method for rotational inertia of complex parts of two-dimensional rotating mechanism Download PDFInfo
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- CN103604562B CN103604562B CN201310545282.9A CN201310545282A CN103604562B CN 103604562 B CN103604562 B CN 103604562B CN 201310545282 A CN201310545282 A CN 201310545282A CN 103604562 B CN103604562 B CN 103604562B
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Abstract
The invention relates to a two-dimensional rotating mechanism and a testing device and a testing method for the rotational inertia of a complex part thereof, wherein the testing device comprises a simulation two-dimensional rotating mechanism and a lever dial indicator component; the test platform comprises an air floatation platform and a rotating device which is fixedly connected with the air floatation platform and drives the air floatation platform to rotate, and a speed measurement system and a time system device are arranged on the table surface of the air floatation platform; the simulated two-dimensional rotating mechanism comprises an azimuth rotating device and a pitching rotating device, the azimuth rotating device comprises a two-dimensional turntable rotor and a turntable stator, and the pitching rotating device comprises a pitching shaft and a support fixed on the two-dimensional turntable rotor; the lever dial indicator component comprises an upright post and a lever indicator, one end of the lever indicator is fixed on the upright post, the other end of the lever indicator acts on the azimuth rotating device, and the side angle system is installed in the air floatation platform. The invention solves the technical problems of complex test and low precision of the existing rotational inertia test method, and tests the rotational inertia of the simulated two-dimensional rotating mechanism by utilizing the characteristic of micro friction torque of the air floatation platform.
Description
Technical field
The present invention relates to proving installation and the method for a kind of two-dimensional rotation mechanism and complex parts moment of inertia thereof.
Background technology
Current acquisition object rotation inertia is generally by two kinds of modes: for simple shape, the uniform object of Density Distribution, generally take theoretical calculation; And complex-shaped, the irregular object of mass distribution, then take actual measurement method.Actual measurement then mainly utilizes flexible member to form oscillatory system, calculates moment of inertia by system oscillation frequency.Conventional rotation inerttia method has: compound pendulum, Inertia Based on Torsion Pendulum Method, three-line pendulum method, single line arrangement and Constructional Elements Using Falling Methods etc.Measure moment of inertia for compound pendulum, when measured piece length-diameter ratio is greater than 15, its impact be can not ignore; And when vertical and parallel angular deviation is greater than 2 ° time, also should consider the verticality of the longitudinal axis and rotating shaft and the impact of the depth of parallelism; When pivot angle 60 °, measuring Period error is ± 6.8%, and moment of inertia error reaches 40%.When three line Inertia Based on Torsion Pendulum Methods are for measuring large quality measured piece, measured piece rotates clamping vertically-arranged and makes to install difficulty, and there is potential safety hazard; Meanwhile, large-scale measured piece position is unstable, also affects measuring accuracy.There is same problem in Torsion Pendulum method.Constructional Elements Using Falling Methods is for the measured piece of large quality, large momentum, and precision can only reach 3%.
The tolerance of inertia when moment of inertia is Rigid Body in Rotation With, the complexity that when its size embodies Rigid Body in Rotation With, state changes.Every problem relating to rotational power, moment of inertia is focus measurement parameter.The moment of inertia of its azimuth axis of space two-dimensional rotating mechanism is change in turntable motion process, change with the change of the load angle of pitch, although there is certain mathematical relation in the two, but because processing, alignment error can bring certain uncertainty, therefore need to carry out actual measurement and obtain azimuth rotation inertia value with the different change curve of the angle of pitch, underlying parameter is provided, in order to determine the disturbing moment produced satellite to momentum balance control and mechanical test.Because two-dimensional rotation mechanism is complex-shaped, the moment of inertia of azimuth axis can change along with the change of pitch axes position in addition.Therefore traditional measuring method can not meet current testing requirement because testing complex precision is low.
Summary of the invention
In order to solve the technical matters that existing moment of inertia method of testing testing complex, precision are low, can not meet current testing requirement, the invention provides the proving installation of a kind of two-dimensional rotation mechanism and complex parts moment of inertia thereof, utilize the characteristic of air floating platform Microfriction Torque to test dimensional turntable rotor orientation and pitch axes inertia.
Technical solution of the present invention:
A proving installation for two-dimensional rotation mechanism and complex parts moment of inertia thereof, its special character is: comprise angle measuring system, time bulk cargo put, velocity-measuring system, simulating two-dimensional rotating mechanism and lever indicator assembly;
The wheelwork that the driving air floating platform that described test platform comprises air floating platform, be connected with air floating platform rotates, described velocity-measuring system and time bulk cargo put and be all positioned on air floating platform table top;
Described simulating two-dimensional rotating mechanism comprises directional rotating device and pitch rotation device, described directional rotating device comprises dimensional turntable rotor and turntable stator, described dimensional turntable rotor to be placed on air floating platform table top and to be fixedly connected with air floating platform by turntable stator, described pitch rotation device comprises pitch axis and is fixed on the epitrochanterian support of dimensional turntable, and described pitch axis to be arranged on support and can to do luffing around the transverse axis of support;
Described lever indicator assembly comprises column and lever meter, and described lever meter one end is fixed on column, and the other end acts on directional rotating device,
The dimensional turntable rotor of described directional rotating device is by overlapping with the revolving shaft of air floating platform after lever indicator assembly measurement adjustment;
Described side angle system is arranged in air floating platform.
Above-mentioned wheelwork comprises fixed pulley, counterweight and stay cord, and one end of described stay cord is fixed on air floating platform, and the other end of described stay cord is connected with counterweight by fixed pulley.
Above-mentioned velocity-measuring system is rate gyro.
The method of testing of two-dimensional rotation mechanism and complex parts moment of inertia thereof, its special character is, comprises the following steps:
1] the moment of inertia J of measuring circurmarotate non-rotating part and air floating platform rotational plane
0:
1.1] build proving installation according to claim 1, only place the part of not rotating in directional rotating device, utilize lever meter by turntable stator and air floating platform centering;
1.2] start wheelwork, air floating platform is rotated from stationary state;
1.3] t is rotated
1after time, velocity-measuring system is utilized to gather air floating platform speed V this moment
1;
1.4] the moment of inertia J of non-rotating part and air floating platform rotational plane in following formula computer azimuth wheelwork is utilized
0:
Wherein: M is known moment, M=mgl, mg are the weight of wheelwork, and l is the distance of the tie point distance air floating platform rotating shaft of wheelwork and air floating platform;
ω
0for air floating platform accekeration,
2] the moment of inertia J of azimuth axle when measure analog two-dimensional rotation mechanism pitch axis system is in corner A
a:
2.1] in step 1.1] after turntable stator on assemble dimensional turntable rotor and pitch rotation device, and the azimuth axis utilizing lever meter to adjust dimensional turntable rotor overlaps with the revolving shaft of air floating platform;
2.2] by pitch axes to angle A place;
2.3] start wheelwork, air floating platform is rotated from stationary state, angle measuring system records the initial angle B of air floating platform simultaneously
0;
2.4] when the angle of angle measuring system measurement air floating platform is B
1, stop air floating platform, during record, the air floating platform of system measurement device rotates the air floating platform speed V this moment of t and velocity-measuring system measurement simultaneously;
2.5] step 2.3 is repeated]-2.4] n time;
2.6] following formula is utilized to calculate when angle is for A, the moment of inertia J of simulation rotating mechanism
a:
A sampling interval is 5 °, B
1-B
0=± 5 °, n is 5-6.
Above-mentioned velocity-measuring system is rate gyro.
The advantage that the present invention has:
The test of two rotating shafts that the present invention efficiently solves two-dimensional rotation mechanism moment of inertia separately, in the long term, this equipment will be a kind of Application comparison testing tool widely, it not only can substitute current existing product, and it is simple to have method of testing, the a series of advantages such as measuring accuracy is high, and automaticity is high.
Accompanying drawing explanation
Fig. 1 is the structural representation of measurement mechanism of the present invention;
Wherein Reference numeral is: 1-column, 2-lever meter, and during 3-, bulk cargo is put, 4-rate gyro, 5-elevation mount, 6-directional rotating device, 7-air floating platform, 8-stay cord, 9-fixed pulley, 10-counterweight, 11-angle measuring system.
Embodiment
As shown in Figure 1, the proving installation of a kind of two-dimensional rotation mechanism and complex parts moment of inertia thereof, comprise angle measuring system 11, time bulk cargo put 3, velocity-measuring system, simulating two-dimensional rotating mechanism and centering assembly,
The wheelwork that the driving air floating platform that test platform comprises air floating platform 7, be connected with air floating platform rotates, velocity-measuring system and time bulk cargo put 3 and be all positioned on air floating platform table top,
Simulating two-dimensional rotating mechanism comprises directional rotating device 6 and elevation mount 5 two parts, and wherein azimuthal section comprises turntable stator and rotor of turntable.Two-dimensional rotation mechanism to be placed on air floating platform table top and to be fixedly connected with air floating platform by turntable stator, and elevation mount to be arranged on U-shaped support by horizontal shafting and can to do luffing around transverse axis;
Lever indicator assembly comprises column 1 and lever meter 2, and lever meter one end is fixed on column, and the other end acts on simulating two-dimensional rotating mechanism, and dimensional turntable rotor is by overlapping with the revolving shaft of air floating platform after the adjustment of centering assembly; Side angle system 11 is arranged in air floating platform.
Wheelwork comprises fixed pulley 9, counterweight 10 and stay cord 8, and one end of stay cord is fixed on air floating platform, and the other end of stay cord is connected with counterweight by fixed pulley.
For the test of azimuth axle moment of inertia, method of testing step is described:
1] the moment of inertia J of measuring circurmarotate non-rotating part and air floating platform rotational plane
0;
1.1] build proving installation according to claim 1, only place the part (turntable stator) of not rotating in two-dimensional rotation mechanism, utilize lever meter by stator and air floating platform centering;
1.2] start wheelwork, air floating platform is rotated from stationary state;
1.3] t is rotated
1after time, velocity-measuring system is utilized to gather air floating platform speed V this moment
1;
1.4] following formula is utilized to calculate the moment of inertia J of turntable non-rotating part and air floating platform rotational plane
0:
J
0=J
gas+ J
fixed;
Wherein J
gasmoment of inertia for air floating table rotating shaft is known, J
fixedfor the non-rotating part of turntable.
Wherein: M is known moment, M=mgl, mg are the weight (weight of counterweight) of wheelwork, and l is the distance of the tie point distance air floating platform rotating shaft of wheelwork and air floating platform;
ω
0for air floating platform accekeration,
2] the moment of inertia J of azimuth axle when measure analog rotating mechanism pitch axis system is in corner A
a:
First simulating two-dimensional rotating mechanism to be placed in air floating platform plane shown in Fig. 1, utilize the lever meter that around air floating platform, hold-down support erection sensitivity is 0.01mm, detect the shaft run-out of two-dimensional rotation mechanism azimuth axis rotative benchmark, air floating platform revolving shaft and tested dimensional turntable rotor revolving shaft are adjusted to coaxial;
Pitch axis is placed in different angles, and sampling interval is 5 °
Be that the counterweight of m is connected with air floating platform rotating part through fixed pulley, stay cord by quality, tie point and platform rotating shaft distance are l, utilize counterweight to conduct oneself with dignity and apply tangential force, air floating platform is rotated, force direction and platform rotating part are not more than 5 ° in the not coincidence error of point of application tangent line, by angle measuring system record air floating platform initial angle angle value;
With rate gyro record air floating platform velocity of rotation curve, get the poor data being less than 5 ° with platform initial angle and process, process formula is:
In formula: M: known moment, be mgl, general m is counterbalance mass;
ω: platform acceleration mean value;
V: the speed that rate gyro gathers;
T: time unites the time gathered;
J
a: the moment of inertia of azimuth rotation part when pitch axis is in A place, angle;
J
0: air floating platform rotating part and the moment of inertia be connected with the turntable stator on it and turntable azimuth axis non-rotating part.
Turntable of the present invention also can be complex-shaped parts, now unit under test is placed in air floating platform plane, utilize the lever meter that around air floating platform, hold-down support erection sensitivity is 0.01mm, detect the diameter run-out of parts rotating reference field, platform revolving shaft and unit under test revolving shaft are adjusted to coaxial.The accurate moment of inertia of complex parts about its revolving shaft or barycenter can be recorded with said method.
Claims (3)
1. the method for testing of two-dimensional rotation mechanism and complex parts moment of inertia thereof, is characterized in that, comprises the following steps:
1) the moment of inertia J of measuring circurmarotate non-rotating part and air floating platform rotational plane
0:
1.1) build proving installation, only place the part of not rotating in directional rotating device, utilize lever meter by turntable stator and air floating platform centering;
Described proving installation comprise angle measuring system, time bulk cargo put, velocity-measuring system, test platform, simulating two-dimensional rotating mechanism and lever indicator assembly;
The wheelwork that the driving air floating platform that described test platform comprises air floating platform, be connected with air floating platform rotates, described velocity-measuring system and time bulk cargo put and be all positioned on air floating platform table top;
Described simulating two-dimensional rotating mechanism comprises directional rotating device and pitch rotation device, described directional rotating device comprises dimensional turntable rotor and turntable stator, described dimensional turntable rotor to be placed on air floating platform table top and to be fixedly connected with air floating platform by turntable stator, described pitch rotation device comprises pitch axis and is fixed on the epitrochanterian support of dimensional turntable, and described pitch axis to be arranged on support and can to do luffing around the transverse axis of support;
Described lever indicator assembly comprises column and lever meter, and described lever meter one end is fixed on column, and the other end acts on directional rotating device,
The dimensional turntable rotor of described directional rotating device is by overlapping with the revolving shaft of air floating platform after lever indicator assembly measurement adjustment;
Described angle measuring system is arranged in air floating platform;
Described wheelwork comprises fixed pulley, counterweight and stay cord, and one end of described stay cord is fixed on air floating platform, and the other end of described stay cord is connected with counterweight by fixed pulley;
1.2) start wheelwork, air floating platform is rotated from stationary state;
1.3) t is rotated
1after time, velocity-measuring system is utilized to gather air floating platform speed V this moment
1;
1.4) the moment of inertia J of non-rotating part and air floating platform rotational plane in following formula computer azimuth wheelwork is utilized
0:
Wherein: M is known moment, M=mgl, mg are the weight of wheelwork, and l is the distance of the tie point distance air floating platform rotating shaft of wheelwork and air floating platform;
ω
0for air floating platform accekeration,
2) the moment of inertia J of azimuth axle when measure analog two-dimensional rotation mechanism pitch axis system is in corner A
a:
2.1) in step 1.1) after turntable stator on assemble dimensional turntable rotor and pitch rotation device, and the azimuth axis utilizing lever meter to adjust dimensional turntable rotor overlaps with the revolving shaft of air floating platform;
2.2) by pitch axes to angle A place;
2.3) start wheelwork, air floating platform is rotated from stationary state, angle measuring system records the initial angle B of air floating platform simultaneously
0;
2.4) when the angle of angle measuring system measurement air floating platform is B
1, stop air floating platform, during record, the air floating platform of system measurement device rotates the air floating platform speed V this moment of t and velocity-measuring system measurement simultaneously;
2.5) step 2.3 is repeated)-2.4) n time;
2.6) following formula is utilized to calculate when angle is for A, the moment of inertia J of simulation rotating mechanism
a:
2. the method for testing of two-dimensional rotation mechanism according to claim 1 and complex parts moment of inertia thereof, is characterized in that: A sampling interval is 5 °, B
1-B
0=± 5 °, n is 5-6.
3. the method for testing of two-dimensional rotation mechanism according to claim 1 and 2 and complex parts moment of inertia thereof, is characterized in that: described velocity-measuring system is rate gyro.
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| CN109406049B (en) * | 2018-11-16 | 2023-12-08 | 中国科学院西安光学精密机械研究所 | Centroid measuring system and measuring method |
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| JP2000046675A (en) * | 1998-07-28 | 2000-02-18 | Daido Steel Co Ltd | Measuring method and measuring device for moment of inertia |
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