CN104134390B - A kind of Kennedy-Aronhold the-orem verification platform and verification method thereof - Google Patents
A kind of Kennedy-Aronhold the-orem verification platform and verification method thereof Download PDFInfo
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- CN104134390B CN104134390B CN201410344980.7A CN201410344980A CN104134390B CN 104134390 B CN104134390 B CN 104134390B CN 201410344980 A CN201410344980 A CN 201410344980A CN 104134390 B CN104134390 B CN 104134390B
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Abstract
The invention discloses a kind of Kennedy-Aronhold the-orem verification platform, it is synchronized to level detecting apparatus including drive mechanism, quadric chain, the first outer bar, the second outer bar and the outer bar for detecting described first outer bar and the second outer bar puts in place the most simultaneously, having a bar in described quadric chain is the first drive rod, first drive rod is driven rotating by described drive mechanism, and the first outer bar and the second outer bar are connected on two connecting rods that are connected with the first drive rod.The present invention can allow student be better understood from and apply Kennedy-Aronhold the-orem and directly perceived, lively the carrying out of energy to demonstrate and come off at O point by the soft magnetic metal ball on the first outer bar and the second outer bar cleverly simultaneously, show that the first outer bar and the second outer bar arrive O point simultaneously, the most on the same line thus verify Kennedy-Aronhold the-orem at i.e. 3.
Description
Technical field
The present invention relates to a kind of instruments used for education, particularly to a kind of Kennedy-Aronhold the-orem verification platform and
Its verification method.
Background technology
Kennedy-Aronhold the-orem refers to that three of three components making plane parallel motion each other are instantaneous must position
On same straight line.
When the process of part of the Plane Mechanism Motion Analysis of Students ' Learning theory of mechanics,
In existing teaching, it is mostly theory teaching dry as dust, lacks directly perceived, lively demonstration
Teaching aid, students has understood the application of Kennedy-Aronhold the-orem, but a lot of student is in Kennedy-Aronhold the-orem
The enlarged concept of the component of plane motion obscures, it is impossible to correct understanding Kennedy-Aronhold the-orem.
Summary of the invention
For technical problem present in prior art, it is an object of the invention to: one is provided
Allow student be better understood from and apply Kennedy-Aronhold the-orem and can directly perceived, lively carrying out demonstrate three
Heart theorem proving platform.
A further object of the present invention is: provide one allow student be better understood from and apply three-core
The Kennedy-Aronhold the-orem verification method that theorem and directly perceived, lively the carrying out of energy are demonstrated.
The purpose of the present invention is achieved through the following technical solutions: a kind of Kennedy-Aronhold the-orem verification platform,
Including drive mechanism, quadric chain, the first outer bar, the second outer bar and for detecting
State the first outer bar and outer bar that the second outer bar puts in place the most simultaneously is synchronized to level detecting apparatus, institute
Stating that to have a bar in quadric chain be the first drive rod, the first drive rod is by described drive mechanism
Being driven rotating, the first outer bar and the second outer bar are connected to the first drive rod even
On two connecting rods connect.
Preferably, the described two connecting rod one being connected with the first drive rod are the second drive rod,
Second drive rod is connected with drive mechanism.
Preferably, it is Liang Ge instantaneous relase mechanism that described outer bar is synchronized to level detecting apparatus, two
Instantaneous relase mechanism is separately positioned on the first outer bar and the second outer bar, instantaneous relase mechanism
Including support, repel Magnet, attraction Magnet and magnetic metal part, repel Magnet and be arranged on
On support, Magnet is attracted to be arranged on the first outer bar or the second outer bar, during work, magnetic gold
Belong to part and held on the lower surface attracting Magnet, when attracting Magnet warp below repulsion Magnet
Crossing, now, the two ends repelling Magnet relative with attracting Magnet are identical magnetic pole.
Preferably, described magnetic metal part is soft magnetic metal ball, and support corresponding two repels Magnet
Position is respectively equipped with two ball roller tracks, repels Magnet and is arranged on above ball roller track, work
When making, the first outer bar or the second outer bar are from repelling process between Magnet and ball roller track.
Preferably, four connecting rods of described quadric chain are equipped with the first adjustment tank, the
The second adjustment tank, the first adjustment tank and the second adjustment tank it is equipped with on one outer bar and the second outer bar
It is bolted to couple together the first outer bar and the second outer bar with quadric chain.
Preferably, four connecting rods of described quadric chain are respectively provided with to be gone up at various height,
Jointed shaft is passed through hinged between four connecting rods.
Preferably, described drive mechanism includes pedestal and the motor being arranged on pedestal, tooth
Wheels and power transmission shaft, gear train include motor output gear, linkage gear, lower transmissioning gear,
Upper transfer gear and driving gear, motor output gear is connected on motor output shaft, and
And be meshed with linkage gear, linkage gear is also meshed with lower transmissioning gear, underdrive tooth
Wheel and upper transfer gear are connected by described power transmission shaft, and upper transfer gear engages with driving gear,
First drive rod and the second drive rod are respectively by driving gear and linkage gear to drive.
Preferably, the end of described two ball roller tracks is provided with track magnet.
A kind of Kennedy-Aronhold the-orem verification method, comprises the following steps:
One, correction:
(1), ball roller track calibration: find out what two connecting rods to be verified projected in the horizontal plane
Intersection point O point, rotates ball roller track around pedestal, and regulates ball roller track to base central
Distance, until repel Magnet overlap in the projection of horizontal plane with O point;
(2), calibration the first outer bar and the position of the second outer bar: by adjustment the first outer bar with
Angle between binding site and its two bar of the second outer bar so that outside the first outer bar and second
Bar band attracts the position of Magnet to overlap with O point;
Two, soft magnetic metal ball is installed, starts motor so that the first outer bar and the second outer bar band
The position attracting Magnet does not overlaps with O point, and soft magnetic metal ball is arranged on the first outer bar and second
On the attraction Magnet of outer bar;
Three, test: be again started up motor, make quadric chain start to rotate and observe,
When first outer bar band attracts the position of Magnet to overlap with O point, the second outer bar band attracts the position of Magnet
Putting and also overlap with O point, when attracting Magnet to overlap with O point, two soft magnetic metal balls are released simultaneously
Put and drop to ball roller track.
Preferably, in step 3, after described two soft magnetic metal balls drop to ball roller track,
On two ball roller tracks, concordant terminad rolls respectively, and arrives ball roller track simultaneously
End, is attracted to accelerate by track magnet when two soft magnetic metal balls arrive the end of ball roller track
Near being simultaneously emitted by impact sound.
The present invention has such advantages as relative to prior art and effect:
1, the present invention can allow student be better understood from and apply Kennedy-Aronhold the-orem and energy directly perceived, lively
Carrying out demonstrate, cleverly by the soft magnetic metal ball on the first outer bar and the second outer bar at O point
Place comes off simultaneously, show that the first outer bar and the second outer bar arrive O point simultaneously, and i.e. 3 exist just
On same straight line thus verify Kennedy-Aronhold the-orem.
2, present configuration is simple, easily fabricated and cleverly by the speed of soft magnetic metal ball
Degree side reflects the connecting rod instantaneous velocity in arbitrfary point, and simple in construction is light and handy, the most permissible
Change angular velocity ratio long with bar, comprehensive verification Kennedy-Aronhold the-orem, efficiently solve for three-core
The demonstration of theorem and the problem of explanation thereof.
Accompanying drawing explanation
Fig. 1 is the structural representation of the present invention.
Fig. 2 is the front view of Fig. 1.
Fig. 3 is the upward view of Fig. 1.
Fig. 4 is the structural representation at another visual angle of Fig. 1.
Fig. 5 is that the Magnet that attracts of the present invention walks to schematic diagram when repelling below Magnet.
Fig. 6 is that the two soft magnetic metal balls of the present invention take off to fall behind in and roll on two ball roller tracks
Schematic diagram.
Fig. 7 is the repulsion Magnet of the present invention, attracts Magnet and soft magnetic metal ball magnetic pole to arrange and row
Mode for cloth schematic diagram.
Fig. 8 is the quadric chain of the present invention and the first outer bar and the second outer bar connection diagram.
Fig. 9 is the schematic diagram of Fig. 8.
Detailed description of the invention
Below in conjunction with embodiment and accompanying drawing, the present invention is described in further detail, but this
Bright embodiment is not limited to this.
Embodiment one:
As shown in figs 1-9, a kind of Kennedy-Aronhold the-orem verification platform, including drive mechanism, double leval jib
Mechanism's 1, first outer bar the 2, second outer bar 3 and be used for detecting described first outer bar 2 and second
The outer bar that outer bar 3 puts in place the most simultaneously is synchronized to level detecting apparatus, in described quadric chain 1
Having a bar is the first drive rod 4, and the first drive rod 4 is driven rotating by described drive mechanism,
First outer bar 2 and the second outer bar 3 are connected to two connecting rods being connected with the first drive rod 4
On.
The first adjustment tank 5, the first outer bar 2 it is equipped with on four connecting rods of described quadric chain 1
Be equipped with the second adjustment tank 6 on the second outer bar 3, the first adjustment tank 5 and the second adjustment tank 6 are led to
Cross bolt to connect the first outer bar 2 and the second outer bar 3 to be coupled together with quadric chain 1, this
Sample can convert different connecting rod connecting rod needed for checking, can conveniently be adjusted meanwhile
And correction.
Preferably, the two connecting rod one being connected with the first drive rod 4 are the second drive rod 7, the
Two drive rods 7 are connected with drive mechanism.Described drive mechanism includes pedestal 8 and is arranged on base
Motor 9, gear train and power transmission shaft 10 on seat, gear train includes motor output gear 11, connection
Moving gear 12, lower transmissioning gear 13, upper transfer gear 14 and driving gear 15, motor is defeated
Go out gear 11 to be connected on motor output shaft, and motor output gear 11 and linkage gear 12
Being meshed, linkage gear 12 is also meshed with lower transmissioning gear 13, lower transmissioning gear 13 and upper
Travelling gear 14 is connected by described power transmission shaft 10, and upper transfer gear 14 is nibbled with driving gear 15
Closing, the first drive rod 4 and the second drive rod 7 are respectively by driving gear 15 and linkage gear 12 to drive
Dynamic.Motor 9 imparts power to quadric chain 1 by gear train, and ensures the first driving
Bar 4 and the angular velocity Ratio invariableness of the second drive rod 7.
Described outer bar is synchronized to the detection device that level detecting apparatus can be prior art, as red
Outside line detection or photographic head.It can also be two instantaneous relases that outer bar is synchronized to level detecting apparatus
Mechanism, two instantaneous relase mechanisms are separately positioned on the first outer bar 2 and the second outer bar 3 outer end
Place, instantaneous relase mechanism includes support 16, repels Magnet 17, attraction Magnet 18 and magnetic
Metalwork 19, repels Magnet 17 and is arranged on support 16, attracts Magnet 18 to be arranged on outside first
On the outer end of bar 2 or the second outer bar 3, during work, magnetic metal part 19 is held to be attracted
On the lower surface of Magnet 18, attract Magnet 18 to pass below at repulsion Magnet 17, repel Magnet
Depending on vertical dimension between 17 and attraction Magnet 18 is according to the magnetic intensity of Magnet, such as magnetic relatively
By repelling Magnet 17 and the vertical dimension between Magnet 18 can be attracted to be oppositely arranged more remote by force,
Attract Magnet 18 when repelling Magnet 17 and passing below, repel Magnet 17 and attract Magnet 18 phase
To two ends be identical magnetic pole, as repel Magnet 17 lower end be S pole, then attract Magnet 18
Upper end be S pole, the lower end attracting Magnet 18 is N pole, and contrary is N as repelled Magnet 17 lower end
Pole so attracts the upper end of Magnet 18 to be N pole, attract Magnet 18 lower end be S pole, so when
Attracting Magnet 18 when repelling Magnet 17 and passing below, magnetic metal part 19 is by attracting Magnet
The captivation of 18 and repel Magnet 17 to its repulsive force and gravity, when the most downward,
Magnetic metal part 19 just comes off on the first bar 2 or the second outer bar 3, so can be achieved with working as
First outer bar 2 and the second outer bar 3 outer end move to repel magnetic metal part time below Magnet 17
19 depart from.Repelling Magnet 17 and attracting Magnet 18 is identical two block Magnet, for reaching to make magnetic
Property metalwork 19 drop smoothly, repel Magnet 17 two blocks of Magnet are set and attract Magnet 18 to arrange
One piece.
Below its principle is illustrated: Magnet is attractive to soft magnetic material, soft
Magnetic material, when Magnet, is magnetized according to the magnetic field of surrounding, soft magnetism material at this moment
Material can be understood as a new Magnet.After being magnetized such as a: iron ball, N pole is down, S pole court
On, at this moment place in the top magnetic pole towards contrary repulsion Magnet (magnetic pole herein towards
On the contrary refer to repel Magnet S pole towards with attract Magnet S pole towards contrary, such as one S pole court
On, then another S pole is down, makes the bipolarity that two Magnet are relative identical), through the magnetic of iron ball
Sense line will change, but iron ball does not changes the moment of polarity yet because of the change in magnetic field,
The polarity of iron ball still with attract Magnet keep consistent, iron ball by attract Magnet captivation with
Making a concerted effort of the repulsive force of repulsion Magnet, as long as the magnetic force repelling Magnet is enough strong, iron ball has little time
Change polarity just to be ostracised out, it is achieved release process.
Preferably, described magnetic metal part 19 is soft magnetic metal ball, and support 16 corresponding two repels
Magnet 17 position is respectively equipped with two ball roller tracks 20, repels Magnet 17 and is arranged on ball rolling rail
Above road 20, during work, the first outer bar 2 or the second outer bar 3 are from repelling Magnet 17 and ball rolling
Pass through between track 20.The end of described two ball roller tracks 20 is provided with track magnet 21, and this makes
Soft magnetic metal ball is rolled to when the end of ball roller track 20 be attracted to accelerate by track magnet 21
And produce shock and be simultaneously emitted by strike note, so that student the most visually observes that two is soft
Magnetic metal ball is advanced side by side on two ball roller tracks 20 respectively and can also be experienced from acoustically
It is the end simultaneously arriving ball roller track 20 to two soft magnetic metal balls, thus verifies three-core
The correctness of theorem.Preferably, described soft magnetic metal ball is spherical magnet.Make soft magnetic metal
Ball arrives when repelling below Magnet 17, reacts sensitiveer.
Four connecting rods of described quadric chain 1 are respectively provided with to be gone up at various height, four companies
Jointed shaft is passed through hinged between bar.So that at height between the first outer bar 2 and the second outer bar 3
Degree is staggered on direction, and this can make two ball roller tracks 20 have certain distance between the upper and lower, keeps away
Exempt to influence each other and be also convenient for observing, controlling and adjust simultaneously.
Embodiment two:
A kind of Kennedy-Aronhold the-orem verification method, comprises the following steps:
One, correction:
First start motor before correction, two connecting rods to be verified rotated to a certain suitable angle,
It is corrected to facilitate.
(1), ball roller track calibration: find out what two connecting rods to be verified projected in the horizontal plane
Intersection point O point, rotates ball roller track around pedestal, and regulates ball roller track to base central
Distance, until repel Magnet overlap in the projection of horizontal plane with O point;
(2), calibration the first outer bar and the position of the second outer bar: by adjustment the first outer bar with
Angle between binding site and its two bar of the second outer bar so that outside the first outer bar and second
Bar band attracts the position of Magnet to overlap with O point;
Two, soft magnetic metal ball is installed, starts motor so that the first outer bar and the second outer bar band
The position attracting Magnet does not overlaps with O point, and soft magnetic metal ball is arranged on the first outer bar and second
On the attraction Magnet of outer bar;
Three, test: be again started up motor, make quadric chain start to rotate and observe,
When first outer bar band attracts the position of Magnet to overlap with O point, the second outer bar band attracts the position of Magnet
Putting and also overlap with O point, when attracting Magnet to overlap with O point, two soft magnetic metal balls are released simultaneously
Putting and drop to ball roller track, last two soft magnetic metal balls are respectively on two ball roller tracks
Concordant terminad rolls, and arrives the end of ball roller track simultaneously, and two soft magnetic metal balls arrive
Attracted to accelerate near being simultaneously emitted by impact sound by track magnet when reaching the end of ball roller track.
The work process of the present invention and operation principle: be a quadric chain as Figure 8-9,
It is respectively depicted as bar E, bar F, bar G and bar for convenience of four connecting rods describing quadric chain
H, in figure, A point is fixing point, and bar E and bar F is counterclockwise around A point with the angular velocity of w1 and w2 respectively
At the uniform velocity rotate.In office one instantaneous, the instantaneous center of velocity of bar E and bar F is positioned at A point, bar F and bar G
Instantaneous being positioned at D point, according to Kennedy-Aronhold the-orem, the instantaneous center of velocity of bar E and bar G is positioned on straight line AD.
In like manner, bar E, bar G and bar H can obtain the instantaneous on straight line BC of bar E and bar G, thus bar E and
The instantaneous center of velocity of bar G is on the intersection point O of straight line AD and BC.
If able to checking bar E and bar G is identical in this instantaneous speed at O point, it is possible to explanation
The instantaneous center of velocity of this instantaneous bar E and bar G is positioned at O point, and the instantaneous A point that is positioned at of bar E and bar F,
The instantaneous D point that is positioned at of bar F and bar G, O, A and D 3 the most on the same line, just can test
Card Kennedy-Aronhold the-orem.
First outer bar is fixed on bar G, and lays soft magnetic metal ball in its outer end.Four
In linkage motor process, when the outer end of the first outer bar overlaps with O point, soft magnetic metal ball
On the first bar, moment departs from, then, the speed of soft magnetic metal ball is exactly that bar G is at O point
Transient motion speed.In like manner, bar E installs the second outer bar, the second outer bar also lays one
Individual soft magnetic metal ball in O point abrupt release.By comparing the speed of two soft magnetic metal ball motions
If identical, degree size and Orientation, just can verify that E and bar G are in this instantaneous speed at O point
Equal, i.e. O point is exactly the instantaneous of bar E and bar G, thus verifies Kennedy-Aronhold the-orem.
Herein to illustrate that when only one of which drive rod, if bar F is drive rod, then bar E
It is hinged with bar F, is also able to verify that Kennedy-Aronhold the-orem simultaneously.
Above-described embodiment is the present invention preferably embodiment, but embodiments of the present invention are also
Being not restricted to the described embodiments, other any spirit without departing from the present invention is with former
Change that reason is lower to be made, modify, substitute, combine, simplify, all should be the displacement side of equivalence
Formula, within being included in protection scope of the present invention.
Claims (10)
1. a Kennedy-Aronhold the-orem verification platform, it is characterised in that: include drive mechanism, four companies
Linkage, the first outer bar, the second outer bar and be used for detecting outside described first outer bar and second
The outer bar that bar puts in place the most simultaneously is synchronized to level detecting apparatus, has one in described quadric chain
Bar is the first drive rod, and the first drive rod is driven rotating by described drive mechanism, first
Outer bar and the second outer bar are connected on two connecting rods that are connected with the first drive rod.
Kennedy-Aronhold the-orem verification platform the most according to claim 1, it is characterised in that: institute
Stating the two connecting rod one being connected with the first drive rod is the second drive rod, the second drive rod with drive
Motivation structure connects.
Kennedy-Aronhold the-orem verification platform the most according to claim 1, it is characterised in that: institute
Stating outer bar and being synchronized to level detecting apparatus is Liang Ge instantaneous relase mechanism, and two instantaneous relase mechanisms divide
Not being arranged on the first outer bar and the second outer bar, instantaneous relase mechanism includes support, repulsion
Magnet, attraction Magnet and magnetic metal part, repel Magnet and be arranged on support, attract magnetic
Ferrum is arranged on the first outer bar or the second outer bar, and during work, magnetic metal part is held to be inhaled
Draw on the lower surface of Magnet, when attracting Magnet to pass below at repulsion Magnet, now, repel
The two ends that Magnet is relative with attracting Magnet are identical magnetic pole.
Kennedy-Aronhold the-orem verification platform the most according to claim 3, it is characterised in that: institute
Stating magnetic metal part is soft magnetic metal ball, and support corresponding two repels magnet positions and is respectively equipped with two
Ball roller track, repels Magnet and is arranged on above ball roller track, during work, and the first outer bar
Or second outer bar pass through between Magnet and ball roller track from repelling.
Kennedy-Aronhold the-orem verification platform the most according to claim 1, it is characterised in that: institute
State and on four connecting rods of quadric chain, be equipped with the first adjustment tank, outside the first outer bar and second
Be equipped with the second adjustment tank on bar, the first adjustment tank and the second adjustment tank be bolted with
First outer bar and the second outer bar are coupled together with quadric chain.
Kennedy-Aronhold the-orem verification platform the most according to claim 1, it is characterised in that: institute
State four connecting rods of quadric chain to be respectively provided with and go up at various height, logical between four connecting rods
Cross jointed shaft hinged.
Kennedy-Aronhold the-orem verification platform the most according to claim 2, it is characterised in that: institute
State drive mechanism and include pedestal and the motor being arranged on pedestal, gear train and power transmission shaft,
Gear train include motor output gear, linkage gear, lower transmissioning gear, upper transfer gear with
And driving gear, motor output gear is connected on motor output shaft, and and linkage gear
Being meshed, linkage gear is also meshed with lower transmissioning gear, lower transmissioning gear and upper driving cog
Wheel is connected by described power transmission shaft, and upper transfer gear engages with driving gear, the first drive rod
With the second drive rod respectively by driving gear and linkage gear to drive.
Kennedy-Aronhold the-orem verification platform the most according to claim 4, it is characterised in that: institute
The end stating two ball roller tracks is provided with track magnet.
9. a Kennedy-Aronhold the-orem verification method, it is characterised in that comprise the following steps:
One, correction:
(1), ball roller track calibration: find out what two connecting rods to be verified projected in the horizontal plane
Intersection point O point, rotates ball roller track around pedestal, and regulates ball roller track to base central
Distance, until repel Magnet overlap in the projection of horizontal plane with O point;
(2), calibration the first outer bar and the position of the second outer bar: by adjustment the first outer bar with
Angle between binding site and its two bar of the second outer bar so that outside the first outer bar and second
Bar band attracts the position of Magnet to overlap with O point;
Two, soft magnetic metal ball is installed, starts motor so that the first outer bar and the second outer bar band
The position attracting Magnet does not overlaps with O point, and soft magnetic metal ball is arranged on the first outer bar and second
On the attraction Magnet of outer bar;
Three, test: be again started up motor, make quadric chain start to rotate and observe,
When first outer bar band attracts the position of Magnet to overlap with O point, the second outer bar band attracts the position of Magnet
Putting and also overlap with O point, when attracting Magnet to overlap with O point, two soft magnetic metal balls are released simultaneously
Put and drop to ball roller track.
Kennedy-Aronhold the-orem verification method the most according to claim 9, it is characterised in that step
In three, after described two soft magnetic metal balls drop to ball roller track, roll rail at two balls respectively
On road, concordant terminad rolls, and arrives the end of ball roller track, two soft magnetic metals simultaneously
Attracted to accelerate near being simultaneously emitted by collision by track magnet when ball arrives the end of ball roller track
Sound.
Priority Applications (1)
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CN201410344980.7A CN104134390B (en) | 2014-07-18 | 2014-07-18 | A kind of Kennedy-Aronhold the-orem verification platform and verification method thereof |
Applications Claiming Priority (1)
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CN201410344980.7A CN104134390B (en) | 2014-07-18 | 2014-07-18 | A kind of Kennedy-Aronhold the-orem verification platform and verification method thereof |
Publications (2)
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CN104134390A CN104134390A (en) | 2014-11-05 |
CN104134390B true CN104134390B (en) | 2016-10-05 |
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CN2811950Y (en) * | 2005-06-23 | 2006-08-30 | 上海交通大学 | Test bench for measuring parameters of crank rocker mechanism |
CN201060591Y (en) * | 2007-05-29 | 2008-05-14 | 郭富红 | Device for demonstrating principle of hinge four-bar mechanism |
CN101364354B (en) * | 2008-09-28 | 2010-08-11 | 中北大学 | Mechanics synthetic experiment bench for rotary member |
CN203311675U (en) * | 2013-06-04 | 2013-11-27 | 陕西科技大学 | Slide block-equipped four-rod mechanism teaching tool |
CN103745645A (en) * | 2013-10-31 | 2014-04-23 | 马登云 | Multifunctional mechanical principle teaching demonstration instrument |
CN203659336U (en) * | 2013-12-18 | 2014-06-18 | 南昌工程学院 | Four-bar mechanism demonstration instrument |
CN203982677U (en) * | 2014-07-18 | 2014-12-03 | 华南理工大学 | A kind of Kennedy-Aronhold the-orem verification platform |
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