CN206945219U - A kind of high-precision rotation inerttia instrument - Google Patents
A kind of high-precision rotation inerttia instrument Download PDFInfo
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- CN206945219U CN206945219U CN201720463330.3U CN201720463330U CN206945219U CN 206945219 U CN206945219 U CN 206945219U CN 201720463330 U CN201720463330 U CN 201720463330U CN 206945219 U CN206945219 U CN 206945219U
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Abstract
For systematic error possessed by reducing existing method for measuring rotary inertia, measurement accuracy is further improved.The utility model provides a kind of high-precision rotation inerttia instrument.Device floats rail, first support, Measuring plate, second support, positioning laser lamp, constant-seed motor and several parts of autorotation disk by air guide rail, air from bottom to top and formed, its design principle is the law of conservation of angular momentum of rigid body fixed-axis rotation, and the method that rail reduction frictional force is floated using air further increases rotation inerttia precision.Because device operates relatively simple, experimental phenomena ocular and clear, so the present apparatus is not only used as rotation inerttia instrument, can also be used as class demonstration instrument.
Description
Technical field
The utility model belongs to rotation inerttia engineering device technique field, and in particular to a kind of higher rotation of measurement accuracy
Inertia measuring instrument.
Background technology
Rotary inertia is that rotator inertia size is measured when rigid body is rotated about axis, and can directly reflect Rigid Body in Rotation With state
The complexity of change.The factors such as the concrete numerical value of rotary inertia and the shape of rigid body, Mass Distribution and rotating shaft position are relevant.It is several
All influences that all must take into consideration rotary inertia with rotating relevant precision instrument at work.For example in military field, it is
Weapon is maintained to launch the ballistic stability of bullet, it is necessary to bullet is rotated about the axis in flight course, and turn now
Dynamic inertia can regard measuring for the ability that bullet keeps rotating as, it is therefore necessary to be taken in when designing bullet.In machinery
Design field, sufficiently to utilize or suppressing to influence caused by the rotation of the parts such as gear, bearing, rotating disk, it is also necessary to fully examine
Consider rotary inertia factor.And whether the product manufactured has reached the requirement of design and use, it is necessary to which its rotary inertia is carried out
Accurate measurement.
Currently used method for measuring rotary inertia mainly has three-line pendulum method, torsional oscillation method, swing method etc., and these methods are main
It it is torsion by measuring rigid body or hunting period indirectly to obtain rotary inertia.But when actually measuring, using these surveys
The measuring result error of amount method is often larger.Measurement up to seven is needed by taking the most frequently used three-line pendulum method as an example, in experimentation
The numerical value of individual physical quantity, and upper lower disc distance, rotation period average value etc. be all not easy to measure it is very correct.It is prior
Be, measurement result and local gravitational acceleration g about, experiment have ignored lower disc translation influence, take
The methods of approximate, all bring inevitable error to calculating.So invention one kind can fundamentally improve rotary inertia survey
The instrument of accuracy of measurement just seems particularly necessary.
Utility model content
For systematic error possessed by reducing existing method for measuring rotary inertia, measurement accuracy is further improved.This reality
A kind of high-precision rotation inerttia device is provided with new.The design principle of the device is the angular motion of rigid body fixed-axis rotation
Measure conservation theorem.Device can effectively overcome the systematic error of traditional measurement method, and float rail using air and reduce frictional force
Method further increases the precision of rotation inerttia.
The utility model is that technical scheme is used by solving its technical problem:High-precision rotation inerttia instrument, its
Structure includes circular air guide rail from bottom to top, air floats rail, first support, Measuring plate, second support, positioning laser lamp, fixed
Speed motor and autorotation disk, air being provided with the circular air guide rail and floats rail, first support lower end is connected with the floating rail of air,
First support upper end is connected with Measuring plate;The second support lower end is connected with Measuring plate, and second support upper end is with determining
Speed motor is mutually fixedly connected;The constant-seed motor bottom is provided with the positioning a being aimed downwardly laser lamp, constant-seed motor top
One autorotation disk is installed;The air floats rail and drives Measuring plate, second support, positioning laser lamp, constant speed by first support
Motor and autorotation disk are floated on air guide rail, and Measuring plate holds up constant-seed motor and positioning laser lamp by second support, fixed
Speed motor drives rotation disc spins.
Whole device is axisymmetricly distributed in vertical direction, and the air guide rail, air float rail, Measuring plate, positioning laser
Lamp, constant-seed motor, the geometric center of autorotation disk are all on a vertical axis.
The first support and second support are equidistantly welded in measurement plate edge, ensure the stability that Measuring plate rotates.
The positioning laser lamp is located at constant-seed motor bottom and sends positioning light beam downwards, with positioning light beam in object under test
The hot spot of upper formation assists in the rotary shaft of object under test.
In addition to determinand, the rotary inertia of each part of the present apparatus is all known.During measurement, air guide rail discharges gas upwards
Body, air float rail and drive each part suspension thereon to reduce influence of the frictional force to measurement.Using positioning laser lamp in determinand
The location spot of upper formation edits the position of determinand.Because total rotating torque that now device is subject to is zero, whole device angle
The conservation of momentum.According to the law of conservation of angular momentum of Rigid Body in Rotation With, the rotation of autorotation disk, Measuring plate is necessarily set to drive what is be attached thereto
Air floats rail, support, motor, positioning laser lamp and determinand and rotated round about.At this moment only need to calculate turning for Measuring plate
Dynamic angular speed can try to achieve the rotary inertia of determinand.And because Measuring plate is uniform rotation at work, so Measuring plate
Rotational angular velocity can be realized simply by various ways such as the turnning circles of Measuring plate in the unit of account time.
Compared with prior art, the beneficial effects of the invention are as follows:The rotation inerttia accuracy of the present apparatus is higher, this dress
The design principle put is the law of conservation of angular momentum of rigid body fixed-axis rotation, and device can effectively overcome the system of traditional measurement method
Error, and the method for reducing frictional force using the floating rail of air further increases the precision of rotation inerttia.Additionally, due to dress
Put and operate relatively simple, experimental phenomena ocular and clear, so the present apparatus is not only used as rotation inerttia instrument, can also make
Used for class demonstration instrument.
Brief description of the drawings
Fig. 1 is structural representation of the present utility model;
Wherein:1 is air guide rail, and 2 be that air floats rail, and 3a is first support, and 3b is second support, and 4 be Measuring plate, and 5 are
Laser lamp is positioned, 6 be constant-seed motor, and 7 be autorotation disk.
Embodiment
Specific description is done to the structure and measuring method of the present apparatus below in conjunction with the accompanying drawings, as shown in figure 1, high accuracy rotates
Inertia measuring instrument, its structure includes circular air guide rail 1 from bottom to top, air floats rail 2, first support 3a, Measuring plate 4, second
Support 3b, positioning laser lamp 5, constant-seed motor 6 and autorotation disk 7, air is provided with the circular air guide rail 1 and floats rail 2, first
Support 3a lower ends are floated rail 2 with air and are connected, and first support 3a upper ends are welded with the phase of Measuring plate 4;The second support 3b lower ends
With being welded with the phase of Measuring plate 4, second support 3b upper ends are fixedly connected with the phase of constant-seed motor 6;The bottom of constant-seed motor 6 is provided with
One positioning laser lamp 5 being aimed downwardly, the top of constant-seed motor 6 are provided with an autorotation disk 7;The air floats rail 2 by the
One support 3a drive Measuring plate 4, second support 3b, positioning laser lamp 5, constant-seed motor 6 and autorotation disk 7 float on air guide rail 1 it
On, and Measuring plate 4 holds up constant-seed motor 6 and positioning laser lamp 5 by second support 3b, constant-seed motor drives rotation disc spins.
Whole device is axisymmetricly distributed in vertical direction, and the air guide rail 1, air float rail 2, Measuring plate 4, position and swash
Light lamp 5, constant-seed motor 6, the geometric center of autorotation disk 7 are all on a vertical axis.
The first support 3a and second support 3b are equidistantly welded in the edge of Measuring plate 4, ensure that Measuring plate 4 rotates steady
It is qualitative.
The positioning laser lamp 5 is located at the bottom of constant-seed motor 6 and sends positioning light beam downwards, with positioning light beam in determinand
The hot spot formed on body assists in the rotary shaft of object under test.
In addition to determinand, the rotary inertia of each part of the present apparatus is all known.During measurement, air guide rail 1 is discharged upwards
Gas, air float rail 2 and drive each part suspension thereon to reduce influence of the frictional force to measurement.Treated using laser lamp 5 is positioned
The position that the location spot formed edits determinand is surveyed on thing.Because total rotating torque that now device is subject to is zero, whole dress
The angle setting conservation of momentum.According to the law of conservation of angular momentum of Rigid Body in Rotation With, the rotation of autorotation disk 7, Measuring plate is necessarily set to drive therewith
The air of connection floats rail 2, first support 3a, second support 3b, constant-seed motor 6, positioning laser lamp 5 and determinand round about
Rotate.At this moment the rotational angular velocity for calculating Measuring plate 4 is only needed to try to achieve the rotary inertia of determinand.And because Measuring plate exists
It is uniform rotation in work, so the rotational angular velocity of Measuring plate 4 can be simply by Measuring plate in the unit of account time
The various ways such as turnning circle realize.
Described high-precision rotation inerttia instrument, specific measurement process are:Object under test is positioned over Measuring plate 4 first
On, and the location spot for making to be formed on determinand and its barycenter are in same vertical straight line;Place and complete and after levelling device,
Starting circular air guide rail 1 makes the floating rail 2 of air drive each part suspension thereon, it is therefore an objective to reduces frictional force as far as possible to measurement
Influence;Constant-seed motor 6 is opened after system is stable, the autorotation disk 7 that rotating speed is fixed starts to rotate;Due to turn that now device is subject to
Kinetic moment is zero, the whole device conservation of angular momentum;The rotation of autorotation disk 7 necessarily makes Measuring plate 4 drive the air being attached thereto to float
Rail 2, first support 3a, second support 3b, constant-seed motor 6, positioning laser lamp 5 and object under test rotate round about, and turn
Two parts angular momentum in opposite direction opposite number each other is moved, now the conservation of angular momentum can be expressed as:
J7(ω7+ ω)-(J23456+Jx) ω=0 (1)
Wherein:The rotary inertia of of autorotation disk 7 itself is set to J7;
Autorotation disk 7 is fixed as ω with respect to the angular velocity of rotation of motor 57;
Air floats the total of rail 2, first support 3a, second support 3b, Measuring plate 4, positioning laser lamp 5 and constant-seed motor 6 and turned
Dynamic inertia is J23456;
The rotary inertia of object under test is Jx;
Measuring plate 4 is ω with respect to the angular velocity of rotation on ground;
The actual rotational angular velocity over the ground of autorotation disk 7 is ω7+ω;
Then determinand rotary inertia can be expressed as:
J in formula (2)7、J23456、ω7Value, it is known that object under test can be tried to achieve by the rotational angular velocity ω of Measuring plate 4
Rotary inertia;The rotation period that Measuring plate is obtained by recording turnning circle of the Measuring plate 4 within the unit interval is T, then surveys
The angular speed for measuring disk 4 is ω=2 π/T, then determinand rotary inertia is calculated as:
So, object under test rotary inertia J has just been tried to achievex。
During measurement, due to the device conservation of angular momentum, the rotation direction of autorotation disk 7 and Measuring plate 4 is on the contrary, object under test is placed in
Rotated on Measuring plate 4 and with Measuring plate 4, Measuring plate 4, object under test, first support 3a, second support 3b rotation side
To identical and geo-stationary.The air-flow that circular air guide rail 1 sprays makes the floating rail 2 of air somewhat rise disengaging air guide rail and suspend
To reduce rotation friction.
Claims (3)
1. a kind of high-precision rotation inerttia instrument, it is characterised in that its structure includes circular air guide rail (1), air floats rail
(2), first support (3a), second support (3b), Measuring plate (4), positioning laser lamp (5), constant-seed motor (6) and autorotation disk (7),
Air is provided with the circular air guide rail (1) and floats rail (2), first support (3a) lower end is floated rail (2) with air and is connected, the
One support (3a) upper end is connected with Measuring plate (4);Second support (3b) lower end is connected with Measuring plate (4), second
Frame (3b) upper end is mutually fixedly connected with constant-seed motor (6);Constant-seed motor (6) bottom is provided with a positioning being aimed downwardly
Laser lamp (5), constant-seed motor (6) top are provided with an autorotation disk (7);The air floats rail (2) and passes through first support (3a)
Measuring plate (4), second support (3b), positioning laser lamp (5), constant-seed motor (6) and autorotation disk (7) is driven to float on air guide rail
(1) on, and Measuring plate (4) holds up constant-seed motor (6) and positioning laser lamp (5), constant-seed motor band by second support (3b)
Dynamic autorotation disk (7) rotation.
2. high-precision rotation inerttia instrument according to claim 1, it is characterised in that whole device is in vertical direction
Axial symmetry be distributed, the air guide rail (1), air float rail (2), Measuring plate (4), positioning laser lamp (5), constant-seed motor (6), from
The geometric center of rotating disk (7) is all on a vertical axis.
3. high-precision rotation inerttia instrument according to claim 1, it is characterised in that the first support (3a) and
Two supports (3b) are equidistantly welded in Measuring plate (4) edge, ensure the stability that Measuring plate (4) rotates.
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CN201720463330.3U CN206945219U (en) | 2017-04-28 | 2017-04-28 | A kind of high-precision rotation inerttia instrument |
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Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN109115404A (en) * | 2018-10-16 | 2019-01-01 | 天津中精微仪器设备有限公司 | Air-bearing measures rotary inertia device |
CN114593868A (en) * | 2022-02-10 | 2022-06-07 | 上海机电工程研究所 | Self-adaptive high-precision rotational inertia measuring device |
-
2017
- 2017-04-28 CN CN201720463330.3U patent/CN206945219U/en not_active Expired - Fee Related
Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN109115404A (en) * | 2018-10-16 | 2019-01-01 | 天津中精微仪器设备有限公司 | Air-bearing measures rotary inertia device |
CN114593868A (en) * | 2022-02-10 | 2022-06-07 | 上海机电工程研究所 | Self-adaptive high-precision rotational inertia measuring device |
CN114593868B (en) * | 2022-02-10 | 2023-09-19 | 上海机电工程研究所 | Self-adaptive high-precision moment of inertia measuring device |
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Granted publication date: 20180130 Termination date: 20210428 |