CN206818357U - Processional moment measuring device - Google Patents
Processional moment measuring device Download PDFInfo
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- CN206818357U CN206818357U CN201720291444.4U CN201720291444U CN206818357U CN 206818357 U CN206818357 U CN 206818357U CN 201720291444 U CN201720291444 U CN 201720291444U CN 206818357 U CN206818357 U CN 206818357U
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- testing stand
- base
- reel
- measuring device
- pulley
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Abstract
The utility model discloses a kind of processional moment measuring device, including testing stand, reel, rotating shaft, base, pulley assembly, bracing wire and initially reinforce component；Testing stand and reel are connected to base by axis of rotation, and testing stand, reel and rotating shaft three are coaxially fixed together, one end of the bracing wire is connected to reel, the other end of bracing wire is around pulley assembly and freely hangs, and the initial reinforcing component is installed on base and is used to provide initial angular velocity for the rotation of testing stand；When measuring underdrive angular acceleration rotation system pulling force torque is given by counterweight, and it is set to complete underdrive under the Action of Gravity Field of frictional resistance and counterweight by initially reinforcing the component initial angular velocity certain to testing stand and measured object offer, ensure the uniformity of the initial angular velocity of testing stand and measured object during measurement every time, frictional resistance moment changes influence to experimental result with angular speed when reducing experiment, improves the accuracy of measurement result.
Description
Technical field
It the utility model is related to a kind of processional moment measuring device.
Background technology
Rotary inertia is the physical quantity that Rigid Body in Rotation With inertia size is measured, the measuring method master that science and engineering colleges and universities use at present
There are three-line pendulum method, Inertia Based on Torsion Pendulum Method and Constructional Elements Using Falling Methods, from the experimental results, Constructional Elements Using Falling Methods measurement result is unstable and error is larger, in order to
Solve the problems, such as that Constructional Elements Using Falling Methods are present, existing many people are studied, and have researcher to point out, in measurement, to select small quality as far as possible
Counterweight and minor radius cone pulley, can reduce the influence of the moment of resistance, also there is stability analysis of the researcher to experiment the data obtained, it is indicated that
It can be screened suitable data by the way that experiment of slowing down is repeated and calculated, and use smaller quality as far as possible in experiment
Counterweight produce constant moment of force, but it is more to be repeated deceleration experiment the data obtained, and workload is very big during calculating, is not suitable for real
Border is imparted knowledge to students, and human factor is too big.Also have what research experiment medium pulling rope deviateed solid moment of inertia measured value with rotating shaft angle
Influence, and measured the relation of angular acceleration and rotating speed of the swing system under moment of resistance effect.Also researcher analyzes bracing wire
The influence and caused error of diameter and laboratory apparatus adjustment details and other factorses to constant moment of force suffered by rigid body.Also research pair
The moment of resistance is estimated, and the moment of resistance is modified, the quantitative analysis influence of the moment of resistance and point out can with regulation experiment instrument
The influence of the method offset resistance square of device working condition etc..Also there is research by improving Data Processing in Experiment process, improve the time
Measuring method, improve the accuracy of data, still, existing literature result of study is without the reality for proposing preferably to be adapted to teaching
Border operating method, avoid or reduce frictional resistance moment with influence of the angular speed change to experimental result.
The content of the invention
Therefore, the purpose of this utility model is to provide a kind of processional moment measuring device, friction resistance during in order to reduce experiment
Torque changes the influence to experimental result with angular speed, when measuring underdrive angular acceleration also by counterweight to rotation system
Pulling force torque, by initially reinforce component to testing stand and measured object provide certain initial angular velocity make it in frictional resistance and
Underdrive is completed under the Action of Gravity Field of counterweight, the initial angular velocity of testing stand and measured object is consistent when ensureing to measure every time
Property, improve the accuracy of measurement result.
Processional moment measuring device of the present utility model, including testing stand, reel, rotating shaft, base, pulley assembly, drawing
Line and initial reinforcing component；The testing stand and reel are connected to base and testing stand, reel by axis of rotation
Coaxially it is fixed together with rotating shaft three, the pulley assembly is installed on base, and one end of the bracing wire is connected to reel, draws
For the other end of line around pulley assembly and freely hanging, the initial reinforcing component is installed on base for the rotation for testing stand
Initial angular velocity is provided；Measured object is placed on testing stand during measurement, then counterweight is loaded onto in one end that bracing wire hangs, makes experiment
Platform and measured object rotate under the initially promotion of reinforcing component, and do and slow down under the Action of Gravity Field of frictional resistance and counterweight
Rotate, measure the angular acceleration of underdrive, due to using initial reinforcing component to provide initial angular velocity for the rotation of testing stand,
The uniformity of the initial angular velocity of testing stand and measured object, improves the accurate of measurement result when therefore can ensure to measure every time
Property.
Further, the initial reinforcing component includes elastic force apparatus, and the footpath that the elastic force apparatus is arranged in testing stand is outside
Side is used to provide tangential elastic thrust for testing stand, because the direction of elastic thrust is the tangential of testing stand, therefore can be fully
Using kinetic energy caused by elastic force apparatus, the maximization of initial angular velocity is realized, at the same time, the thrust for acting on testing stand is bullet
Power, testing stand is smoothly accelerated and is rotated, avoid the testing stand caused by percussion from damaging.
Further, the edge of the testing stand is provided with stress block；The elastic force apparatus includes chute, sliding block and stretching bullet
Spring；Arranged tangential of the chute along testing stand, the sliding block are slidably connected to chute, the extension spring be connected to chute and
Between sliding block, sliding block is provided with the pushing block for being used for promoting stress block；Manually promote pushing block and sliding block whole slide and
Pushing block is set to be adjacent to the rear side of block, now extension spring is in the state being stretched, and then discharges pushing block, sliding block and pushing block is existed
Reset under the pulling force effect of extension spring, while rotated by block motoring ring test platform, because pushing block moves along a straight line, and block
Movement in a curve is done, therefore pushing block and block are automatically separated in motion process, and pushing block automatically disengages the swing-around trajectory of block,
The motion of block is not hindered, in testing stand edge multiple blocks evenly distributed in the circumferential direction, not only facilitates operation, while can keep away
Exempt from testing stand centre-of gravity shift.
Further, the initial reinforcing component also includes mounting post, and the elastic force apparatus is fixed on base by mounting post,
Good integrity, and ensure geo-stationary between the chute and base of elastic force apparatus, the one of guarantee test platform initial rotation state
Cause property.
Further, the reel is the cone pulley structure with the mutually different multiple winding slots of diameter, according to measurement
It is actually needed and reasonable Sexual behavior mode corresponding winding slot.
Further, the winding slot is 5 to 8, and the diameter of winding slot is gradually reduced from top to bottom.
Further, the processional moment measuring device also includes the detection components for Detecting data angular acceleration；Institute
Stating detection components includes support, shading rod and the optoelectronic switch being connected with digital millisecond counter；The shading rod is fixed vertically
In testing stand bottom surface；The optoelectronic switch is fixed on base by support；The optoelectronic switch and shading rod are respectively equipped with two,
Two optoelectronic switches and two shading rods are distributed in 180 ° of angles, and the support takes the shape of the letter U, when shading rod rotates with testing stand,
Pass in succession through the optoelectronic switch being connected with digital millisecond counter, can measure testing stand rotate to an angle the required time and
Time difference during underdrive, and then calculate the angular acceleration of testing stand.
Further, the pulley assembly includes pulley bracket and is installed on the fixed pulley of pulley bracket, the pulley bracket
Base is installed in a manner of liftable；The coil holder for being oriented to bracing wire is further fixed on pulley bracket, is set on base
There is the boss for installing pulley bracket, pulley bracket is inserted vertically into boss by column, and the boss, which is provided with, to be used to lock
The lock-screw of tight column, therefore the positioning that lock-screw energy column carries out different height is twisted, realize the liter of pulley bracket
Drop, to adapt to the height of different winding slots, is wound on fixed pulley after the pilot hole being drawstring through on coil holder, sets coil holder to keep away
Exempt from bracing wire and depart from fixed pulley because of shake, ensure that measurement process is stable and carry out.
The beneficial effects of the utility model are：Processional moment measuring device of the present utility model, can be in measurement underdrive
Rotation system pulling force torque is given also by counterweight during angular acceleration, and is provided by initially reinforcing component to testing stand and measured object
Certain initial angular velocity makes it complete underdrive under the Action of Gravity Field of frictional resistance and counterweight, ensures to try during measurement every time
The uniformity of the initial angular velocity of platform and measured object is tested, frictional resistance moment changes to experimental result with angular speed when reducing experiment
Influence, improve the accuracy of measurement result.
Brief description of the drawings
, below will be to specific in order to illustrate more clearly of the specific embodiment of the invention or technical scheme of the prior art
The required accompanying drawing used is briefly described in embodiment or description of the prior art.In accompanying drawing, each element or part are not
Necessarily drawn according to the ratio of reality.
Fig. 1 is structural representation of the present utility model；
Fig. 2 is Fig. 1 left view.
Embodiment
The embodiment of technical solution of the present invention is described in detail below in conjunction with accompanying drawing.Following examples are only used for
Clearly illustrate technical scheme, therefore be only used as example, and the protection model of the present invention can not be limited with this
Enclose.
As depicted in figs. 1 and 2：The processional moment measuring device of the present embodiment, including testing stand 8, reel 7, rotating shaft 6,
Base 12, pulley assembly, bracing wire 18 and initially reinforce component；The testing stand 8 and reel 7 are rotatablely connected by rotating shaft 6
Coaxially it is fixed together in base 12 and testing stand 8, the reel 7 and three of rotating shaft 6, the pulley assembly is installed on base
12, one end of the bracing wire 18 is connected to reel 7, and the other end of bracing wire 18 hangs around pulley assembly and freely, described first
Beginning reinforcing component is installed on base 12 and is used to provide initial angular velocity for the rotation of testing stand 8；Measured object is placed on examination during measurement
Test on platform 8, then load onto counterweight 20 in one end that bracing wire 18 hangs, make testing stand 8 and measured object pushing away in initially reinforcing component
Rotated under dynamic, and underdrive is done under the Action of Gravity Field of frictional resistance and counterweight 20, the angle for measuring underdrive accelerates
Degree, initially reinforce component due to use and provide initial angular velocity for the rotation of testing stand 8, therefore try when can ensure to measure every time
The uniformity of the initial angular velocity of platform 8 and measured object is tested, improves the accuracy of measurement result；The initial reinforcing component includes bullet
Power apparatus and mounting post 17, the radial outside that the elastic force apparatus is arranged in testing stand 8 are used to provide tangential bullet for testing stand 8
Property thrust, because the direction of elastic thrust is tangential for testing stand 8, therefore kinetic energy caused by elastic force apparatus can be made full use of, it is real
The maximization of existing initial angular velocity, at the same time, the thrust for acting on testing stand 8 is elastic force, testing stand 8 is smoothly added
Speed simultaneously rotates, and avoids the testing stand 8 caused by percussion from damaging；The elastic force apparatus is fixed on base by mounting post 17
12, good integrity, and ensure geo-stationary between the chute 1 and base 12 of elastic force apparatus, the initial rotation shape of guarantee test platform 8
The uniformity of state；The edge of the testing stand 8 is provided with stress block 4；The elastic force apparatus includes chute 1, sliding block 3 and stretching bullet
Spring 2；Arranged tangential of the chute 1 along testing stand 8, the sliding block 3 are slidably connected to chute 1, and the extension spring 2 is connected to
Between chute 1 and sliding block 3, sliding block 3 is provided with the pushing block 5 for being used for promoting stress block 4；Manually promote pushing block 5 and sliding block 3
Whole slide and pushing block 5 is set to be adjacent to the rear side of block 4, now extension spring 2 is in the state being stretched, and then discharges pushing block
5, sliding block 3 and pushing block 5 is resetted under the pulling force effect of extension spring 2, while rotated by the motoring ring test platform 8 of block 4, due to
Pushing block 5 is moved along a straight line, and block 4 does movement in a curve, therefore pushing block 5 and block 4 are automatically separated in motion process, and is pushed away
Block 5 automatically disengages the swing-around trajectory of block 4, does not hinder the motion of block 4, evenly distributed in the circumferential direction in the edge of testing stand 8
Multiple blocks 4, not only facilitate operation, while be avoided that the centre-of gravity shift of testing stand 8.
According to the fixed-axis rotation law of rigid body：As long as determine sum total moment of face M suffered during Rigid Body in Rotation With and the torque is made
With the angular acceleration β of lower Rigid Body in Rotation With, then the rotary inertia J of the rigid body can be calculated, the constant moment of force generally used at present rotates
Method measuring principle is as follows：
If the rotary inertia of empty testing stand 8 rotated using certain initial angular velocity is J1, when not adding counterweight 20, frictional resistance moment
Size is Mμ1, testing stand 8 is with angular acceleration β1Make uniformly retarded motion, i.e.,：
Mμ1=J1β1 (1)
The counterweight 20 that quality is m is wound on the cone pulley of testing stand 8 that radius is r with bracing wire 18, and allows counterweight 20 to fall, is
System will make uniformly accelerated motion under the effect of permanent external force and consider frictional resistance moment Mμ2=Mμ1In the presence of, if the acceleration of counterweight 20
For a1, the angular acceleration of testing stand 8 is β2, then have：
m g-FT1=m a1=m r β2 (2)
rFT1-Mμ1=J1β2 (3)
Then have：
m(g-rβ2)r-Mμ1=J1β2 (4)
(1), (4) two formula simultaneous are eliminated into Mμ1Afterwards, can obtain：
Similarly, if the rotary inertia that system after testee is added on testing stand 8 is J2, add the angle before and after counterweight 20 to add
Speed is respectively β3With β4, then have：
In Lab of General Physics, the mass m of counterweight 20 commonly uses several grams to tens grams, and the cone pulley radius r of testing stand 8 is tens millis
Rice, the rotary inertia of testee is 10-3kg·m2The order of magnitude, therefore a1=r β2＜ ＜ g, r β4＜ ＜ g, thus formula (5) and
(6) can be reduced to
From the principle of stacking of rotary inertia, the rotary inertia J of testee3For：
J3=J2-J1 (7)
That taken absolute value when the various middle moment of resistance and angular acceleration calculating measures r, m and β1、β2、β3、β4, by (5 '), (6 '),
(7) formula can calculate the rotary inertia of testee.
Frictional resistance moment changes with angular speed during the display experiment of existing literature result, and excursion is larger, if formula (1) and
Frictional resistance moment is differed greatly in experiment in formula (4), and thinks equal when calculating, and larger mistake certainly will be so brought to result
Difference, so the rotary inertia error size of testee is mainly determined by frictional resistance moment, thus, many documents are all mentioned as far as possible
Small mass weight 20 and minor radius cone pulley are selected, it is little to obtain angular acceleration change, and frictional resistance moment change is little, still, this
Sample, which is done, still can not solve root problem.
Frictional resistance moment uses turning for the present embodiment with influence of the angular speed change to experimental result during in order to reduce experiment
Dynamic used amount determining device, gives rotation system pulling force torque, reduction rubs when measuring underdrive angular acceleration also by counterweight 20
Wipe the ratio of moment of resistance resultant moment suffered by rotation system in measurement.
If the mass of counterweight 20 is m, actionradius is r cone pulley during experiment, ignores pulley moment of friction and quality.Sky experiment
The rotary inertia of platform 8 is J4。
The counterweight 20 that quality is m is wound on the cone pulley of testing stand 8 that radius is r with bracing wire 18, and allows counterweight 20 to fall, is
System makees uniformly accelerated motion under the effect of permanent external force, when testing stand 8 accelerates to rotate, by moment of resistance Mμ3With drag torque rFT2Effect,
Angular acceleration size is β5The acceleration magnitude that counterweight 20 declines is a2According to Newton's second law and law of rotation, have
mg-FT2=ma2=mr β5 (8)
rFT2-Mμ3=J4β5 (9)
Then have
mr(g-rβ5)-Mμ3=J4β5 (10)
When measuring system makees underdrive, the counterweight 20 that quality is m is wound on the experimental bench tower that radius is r with bracing wire 18
On wheel, the initial angular velocity certain to experimental bench by initially reinforcing component, cone pulley is allowed to drive counterweight 20 to rise by bracing wire 18,
System will make uniformly retarded motion under the effect of permanent external force, then have
FT3- mg=ma3=mr β6 (11)
rFT3+Mμ4=J4β6 (12)
It can obtain
mr(g+rβ6)+Mμ4=J5β6 (13)
Although moment of resistance size changes with angular speed, experiment when, if the even underdrive of experimental bench system and it is even plus
Fast rotation process angular speed excursion is little and roughly the same, the moment of resistance size M being subject in motion processμ3≈Mμ4, then have
FT2=mg-mr β5 (15)
FT3=mg+mr β6 (16)
Mμ3=mr (g-r β5)-J4β5 (17)
Mμ4=J4β6-mr(g+rβ6) (18)
Similarly, if the rotary inertia that system after testee is added on experimental bench is J5, add identical counterweight 20 to be wound on phase
It is respectively β with even acceleration and the angular acceleration size of uniformly retarded motion on the experimental bench cone pulley of radius, is made7With β8, can obtain
FT4=mg-mr β7 (20)
FT5=mg+mr β8 (21)
Mμ5=mr (g-r β7)-J5β7 (22)
Mμ6=J5β8-mr(g+rβ8) (23)
In formula, the moment of resistance and angular acceleration take absolute value when calculating, and according to rotary inertia principle of stacking, testee turns
Dynamic inertia is
J6=J5-J4 (24)
In above formula (14)-(23), it is contemplated that experiment condition has the acceleration a=r β ＜ ＜ g of counterweight 20, can be various
Simplify.
In the present embodiment, the reel 7 is the cone pulley structure with the mutually different multiple winding slots of diameter, according to survey
Amount be actually needed and reasonable Sexual behavior mode corresponding winding slot；The winding slot is 5 to 8, and the diameter of winding slot is from top to bottom
It is gradually reduced, the processional moment measuring device also includes the detection components for the angular acceleration of Detecting data 8；The detection
Component includes support 11, shading rod 9 and the optoelectronic switch 10 being connected with digital millisecond counter；The shading rod 9 is fixed vertically
In the bottom surface of testing stand 8；The optoelectronic switch 10 is fixed on base 12 by support 11；The optoelectronic switch 10 and shading rod 9 divide
She You not be two, two optoelectronic switches 10 and two shading rods 9 are distributed in 180 ° of angles, and the support 11 takes the shape of the letter U, shading rod
9 with testing stand 8 when rotating, and passes in succession through the optoelectronic switch 10 being connected with digital millisecond counter, can measure testing stand 8 and rotate necessarily
Time needed for angle and the time difference during underdrive, and then the angular acceleration of testing stand 8 is calculated, the cunning
Wheel assembly includes pulley bracket 16 and is installed on the fixed pulley 15 of pulley bracket 16, and the pulley bracket 16 is in a manner of liftable
It is installed on base 12；The coil holder 19 for being oriented to bracing wire 18 is further fixed on pulley bracket 16, base 12, which is provided with, to be used
In the boss 13 of installation pulley bracket 16, pulley bracket 16 is inserted vertically into boss 13 by column, and the boss 13 is provided with
For locking the lock-screw 14 of column, therefore the positioning that the energy column of lock-screw 14 carries out different height is twisted, realize and slide
The lifting of wheel support 16, to adapt to the height of different winding slots, bracing wire 18 determines cunning through being wound on after the pilot hole on coil holder 19
On wheel 15, set coil holder 19 to be avoided that bracing wire 18 departs from fixed pulley 15 because of shake, ensure that measurement process is stable and carry out.
Finally it should be noted that：Various embodiments above is merely illustrative of the technical solution of the present invention, rather than its limitations；To the greatest extent
The present invention is described in detail with reference to foregoing embodiments for pipe, it will be understood by those within the art that：Its according to
The technical scheme described in foregoing embodiments can so be modified, either which part or all technical characteristic are entered
Row equivalent substitution；And these modifications or replacement, the essence of appropriate technical solution is departed from various embodiments of the present invention technology
The scope of scheme, it all should cover among the claim of the present invention and the scope of specification.
Claims (6)
- A kind of 1. processional moment measuring device, it is characterised in that：Including testing stand, reel, rotating shaft, base, pulley assembly, drawing Line and initial reinforcing component；The testing stand and reel are connected to base and testing stand, reel by axis of rotation Coaxially it is fixed together with rotating shaft three, the pulley assembly is installed on base, and one end of the bracing wire is connected to reel, draws For the other end of line around pulley assembly and freely hanging, the initial reinforcing component is installed on base for the rotation for testing stand Initial angular velocity is provided；The initial reinforcing component includes elastic force apparatus, and the radial outside that the elastic force apparatus is arranged in testing stand is used for for experiment Platform provides tangential elastic thrust；The processional moment measuring device also includes the detection components for Detecting data angular acceleration；The detection components bag Include support, shading rod and the optoelectronic switch being connected with digital millisecond counter；The shading rod is fixed on testing stand bottom surface vertically； The optoelectronic switch is fixed on base by support.
- 2. processional moment measuring device according to claim 1, it is characterised in that：The edge of the testing stand is provided with stress Block；The elastic force apparatus includes chute, sliding block and extension spring；Arranged tangential of the chute along testing stand, the sliding block Chute is slidably connected to, the extension spring is connected between chute and sliding block, and sliding block, which is provided with, to be used to promote stress block Pushing block.
- 3. processional moment measuring device according to claim 2, it is characterised in that：The initial reinforcing component also includes peace Post is filled, the elastic force apparatus is fixed on base by mounting post.
- 4. processional moment measuring device according to claim 1, it is characterised in that：The reel is mutual not with diameter The cone pulley structure of the multiple winding slots of identical.
- 5. processional moment measuring device according to claim 4, it is characterised in that：The winding slot is 5 to 8, coiling The diameter of groove is gradually reduced from top to bottom.
- 6. processional moment measuring device according to claim 1, it is characterised in that：The pulley assembly includes pulley bracket With the fixed pulley for being installed on pulley bracket, the pulley bracket is installed on base in a manner of liftable；It is also solid on pulley bracket Surely there is the coil holder for being oriented to bracing wire.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201720291444.4U CN206818357U (en) | 2017-03-23 | 2017-03-23 | Processional moment measuring device |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201720291444.4U CN206818357U (en) | 2017-03-23 | 2017-03-23 | Processional moment measuring device |
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| Publication Number | Publication Date |
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| CN206818357U true CN206818357U (en) | 2017-12-29 |
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| CN201720291444.4U Expired - Fee Related CN206818357U (en) | 2017-03-23 | 2017-03-23 | Processional moment measuring device |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109341948A (en) * | 2018-11-28 | 2019-02-15 | 中国航空工业集团公司沈阳飞机设计研究所 | Aircraft wing rudder face and rudder rotational inertia measuring device and measurement method |
-
2017
- 2017-03-23 CN CN201720291444.4U patent/CN206818357U/en not_active Expired - Fee Related
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109341948A (en) * | 2018-11-28 | 2019-02-15 | 中国航空工业集团公司沈阳飞机设计研究所 | Aircraft wing rudder face and rudder rotational inertia measuring device and measurement method |
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Granted publication date: 20171229 Termination date: 20190323 |