CN104021720A - Epicyclic gear train experiment training aid - Google Patents
Epicyclic gear train experiment training aid Download PDFInfo
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- CN104021720A CN104021720A CN201410255257.1A CN201410255257A CN104021720A CN 104021720 A CN104021720 A CN 104021720A CN 201410255257 A CN201410255257 A CN 201410255257A CN 104021720 A CN104021720 A CN 104021720A
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Abstract
The invention provides an epicyclic gear train experiment training aid. The epicyclic gear train experiment training aid is characterized by comprising an epicyclic gear train, an input unit and a data collection and display unit. The epicyclic gear train is provided with a large sun gear, a first small sun gear, a second small sun gear, a third small sun gear, a first planet gear, a second planet gear, a third planet gear and a planet carrier. The third small sun gear is connected with the large sun gear through a first sliding mechanism, the first planet gear is connected with the second planet gear through a second sliding mechanism, the movement of the two sliding mechanisms can drive the relevant gears, the meshing state of the gears in the epicyclic gear train can be changed, and therefore the epicyclic gear train is made to be switched between a negative sign mechanism and two positive sign mechanisms. The epicyclic gear train experiment training aid can demonstrate switching of the epicyclic gear train between the negative sign mechanism and the positive sign mechanisms and verify a transmission ratio computational formula.
Description
Technical field
The present invention relates to a kind of cyclic train experiment teaching aid, belong to educational aid field.
Background technology
In Principle of Mechanical Designing teaching, cyclic train is the wherein important and not wield content of courses.
Epicyclic gearing ratio can not directly calculate, and need to utilize relative motion principle, and cyclic train is converted into imaginary fixed shaft gear train, then utilizes the computing formula of fixed shaft gear train ratio of gear to calculate epicyclic gearing ratio.Through transforming the imaginary fixed shaft gear train of gained, be just called transformation mechanism or change train.If the ratio of gear of a cyclic train transformation mechanism is for just, this cyclic train is positive sign mechanism; Otherwise, be negative mechanisms.And the symbol of the ratio of gear of transformation mechanism can judge by (1) m, wherein m is the number of times of gear external toothing.That is to say, when cyclic train middle gear external toothing number of times is odd number, cyclic train is negative mechanisms; When gear external toothing number of times is even number, cyclic train is positive sign mechanism.
The 2K-H type cyclic train with two centre wheels and a planet carrier of take is example, and the ratio of gear formula of this cyclic train is: i
13 h=(n
1-n
h)/(n
3-n
h)=(-1)
1z
3/ Z
1;
Change into (n
1/ n
h-1)/(n
3/ n
h-1)=(1)
1z
3/ Z
1;
Make X=n
1/ n
h, Y=n
3/ n
h;
Obtain (X-1)/(Y-1)=-Z
3/ Z
1.
Wherein, n
1be the rotating speed of a centre wheel, n
3for the rotating speed of another centre wheel, n
hfor planet carrier rotating speed, Z
1be the rotating speed of a centre wheel, Z
3rotating speed for another centre wheel.
By X=n
1/ n
hand Y=n
3/ n
hnumerical value described point line, if obtain a slope for-Z
3/ Z
1, and cross the straight line of point (1,1), just can verify that epicyclic gearing is than the establishment of computing formula.
The content of courses of cyclic train sign mechanism and gear ratio calculation formula is very abstract, only relies on teacher's oral statement, and student is difficult to complete understanding.And at present teaching, still there is no a kind of object teaching instrument that can demonstrate ratio of gear formula and checking gear ratio calculation formula.
Summary of the invention
The present invention carries out in order to solve above-mentioned problem, and object is to provide a kind of cyclic train experiment teaching aid that switches and verify gear ratio calculation formula for demonstrating cyclic train sign mechanism.
The present invention to achieve these goals, has adopted following structure.
The invention provides a kind of cyclic train experiment teaching aid, it is characterized in that, comprising: cyclic train; Input block; And data acquisition display unit,
Wherein, cyclic train comprises: centre wheel, planetary gear and planet carrier,
Centre wheel comprises that the number of teeth is Z
1large sun gear, the number of teeth be Z
2the first small sun gear, the number of teeth are Z
3the second small sun gear, the number of teeth are Z
4the 3rd small sun gear; Planetary gear comprises that the number of teeth is Z
5the first row star-wheel, the number of teeth be Z
6the second planetary gear, the number of teeth be Z
7the third line star-wheel; Z
1, Z
2, Z
3, Z
4, Z
5, Z
6and Z
7meet following relation: Z
1=2Z
5+ Z
2; Z
4+ Z
7=Z
3+ Z
6=Z
5+ Z
2,
Large sun gear is annular wheel, and right side has gear cap, and empty set is on main shaft; The first small sun gear and the second small sun gear right-to-left are connected on main shaft; The 3rd small sun gear is positioned at the second small sun gear left, and empty set is on main shaft, and the 3rd small sun gear is connected by the first slipping mechanism with large sun gear,
The first row star-wheel can with large sun gear in mesh, with the first small sun gear external toothing; The first row star-wheel is connected by the second slipping mechanism with the second planetary gear, and right-to-left is connected in all rotating shafts; Third planet wheel is positioned at the second planetary gear left, is connected in all rotating shafts;
Between main shaft and all rotating shafts, be fixedly connected with at least one planet carrier, one end of planet carrier is by bearing empty set on main shaft, and the other end is connected in all rotating shafts,
When large sun gear, the first small sun gear and the first row star-wheel are during in engagement, cyclic train is negative mechanisms; When the first slipping mechanism moves right, large sun gear and the 3rd small sun gear integral body move to right, large sun gear and the first row star-wheel drop out of gear are closed, the 3rd small sun gear and the third line star-wheel enter engagement, the first small sun gear and the first row star-wheel keep engagement, and cyclic train is transformed to the first positive sign mechanism; When the second slipping mechanism is moved to the left, the first row star-wheel and the second planetary gear integral body move to left, the first small sun gear and the first row star-wheel drop out of gear are closed, the second small sun gear and the second planetary gear enter engagement, the 3rd small sun gear and the third line star-wheel keep engagement, cyclic train is transformed to the second positive sign mechanism
Input block comprises: the speed of mainshaft input media being connected with main shaft; The large sun gear rotating speed input media being connected with gear cap,
Data acquisition display unit comprises: the speed of mainshaft harvester being connected with main shaft; The planet carrier rotating speed harvester being connected with planet carrier; The large sun gear rotating speed harvester being connected with large sun gear; By wire, be connected with speed of mainshaft harvester, planet carrier rotating speed harvester, large sun gear rotating speed harvester respectively for showing the first display, second display, the 3rd display of rotating speed.
In addition, in cyclic train experiment teaching aid of the present invention, can also there is such feature: wherein, the first slipping mechanism comprises: be connected in the first sleeve pipe on the 3rd small sun gear; Be connected in the gear cap of large sun gear and second sleeve pipe of empty set on main shaft, the second sleeve pipe is provided with groove; Be embedded in the 3rd sleeve pipe in the groove of the second sleeve pipe, the 3rd sleeve pipe and the second sleeve pipe can relatively rotate, and connect the first in command of the first sleeve pipe and the 3rd sleeve pipe, and the first in command has guide rail.
In addition, in cyclic train experiment teaching aid of the present invention, can also there is such feature: wherein, the second slipping mechanism comprises: be connected to the Quadruplet pipe between the first row star-wheel and the second planetary gear, Quadruplet pipe is connected in all rotating shafts, the second in command who is connected with Quadruplet pipe.
In addition, in cyclic train experiment teaching aid of the present invention, can also there is such feature: wherein, speed of mainshaft input media is the first handwheel being connected with main shaft, by the first handwheel, can shake main shaft; Large sun gear rotating speed input media comprises: be connected in the first belt wheel on the second sleeve pipe, be positioned at first belt wheel the place ahead, second belt wheel identical with the first belt wheel parameter, on the first belt wheel and the second belt wheel, be connected with driving-belt, the second belt wheel is connected with the second handwheel, the second handwheel shakes, and rotating speed can be by passing to large sun gear by the first belt wheel, driving-belt, the second belt wheel and the second sleeve pipe successively.
In addition, in cyclic train experiment teaching aid of the present invention, can also have such feature: wherein, speed of mainshaft input media is the stepless speed-change motor being connected with main shaft, large sun gear rotating speed input media is the motor being connected on the second sleeve pipe.
In addition, in cyclic train experiment teaching aid of the present invention, can also there is such feature: wherein, speed of mainshaft harvester is the first magnetic-type sensor being connected with the first display by wire, and the first magnetic-type sensor is measured the speed of mainshaft near main shaft; Planet carrier rotating speed harvester comprises: the second magnetic-type sensor being connected with second display by wire, be connected in the 5th sleeve pipe on planet carrier, and the first sleeve pipe empty set is on the 5th sleeve pipe, and the second magnetic-type sensor is measured planet carrier rotating speed near the 5th sleeve pipe; Large sun gear rotating speed harvester comprises: the 3rd magnetic-type sensor being connected with the 3rd display by wire, and the 3rd magnetic-type sensor is measured large sun gear rotating speed near the second sleeve pipe;
In addition, in cyclic train experiment teaching aid of the present invention, can also there is such feature: wherein, data acquisition display unit also comprises: be connected in the first bevel gear on the 5th sleeve pipe; Have the second bevel gear of identical parameters with the first bevel gear, the first bevel gear and the second bevel gear are in engagement; Be connected to the first bevel gear shaft between the first bevel gear and the second bevel gear; The first pointer that is connected to the first bevel gear shaft end, is fixed on the third hand tap gear on main shaft; Take turns the 4th bevel gear with identical parameters with triconodont, third hand tap gear and the 4th bevel gear are in engagement; Be connected to the second bevel gear shaft between third hand tap gear and the 4th bevel gear; Be connected to the first spur gear on the second bevel gear shaft; Have the second spur gear of identical parameters with the first spur gear, the first spur gear and the second spur gear are in engagement; Be connected to the 6th sleeve pipe on the second spur gear, the 6th casing pipe sleeve is on the first bevel gear shaft; Be connected to the second pointer of the 6th cannula end.
In addition, in cyclic train experiment teaching aid of the present invention, can also there is such feature: wherein, planet carrier is ring flange.
Invention effect and effect
According to cyclic train experiment teaching aid of the present invention, because cyclic train has large sun gear, the first small sun gear, the second small sun gear, the 3rd small sun gear, the first row star-wheel, the second planetary gear, the third line star-wheel and planet carrier; And the 3rd small sun gear be connected by the first slipping mechanism with large sun gear, the first row star-wheel is connected by the second slipping mechanism with the second planetary gear, so the movement of two slipping mechanisms can drive associated gear, the engagement of cyclic train middle gear is changed, thereby can demonstrate cyclic train, between a kind of negative mechanisms and two kinds of positive sign mechanisms, switch.
In addition, because cyclic train experiment teaching aid of the present invention also has input block and data acquisition display unit, therefore can be the rotating speed of large sun gear and main shaft input change, export the rotating speed of large sun gear, main shaft and planet carrier simultaneously, and the rotating speed of main shaft is identical with the rotating speed of the first small sun gear, so can access one group, take respectively the data that the first small sun gear and planet carrier rotating ratio X, large sun gear and planet carrier rotating ratio be Y, take X and Y as coordinate figure graphed, can verify that both are linear, and slope is for being-Z
1/ Z
2, and cross point (1,1), thus can verify that epicyclic gearing compares computing formula.
Accompanying drawing explanation
Fig. 1 is the cyclic train experiment teaching aid structural representation when cyclic train is negative mechanisms in embodiment 1 and embodiment 2 the present invention relates to;
Fig. 2 is the cyclic train experiment teaching aid structural representation when cyclic train is the first positive sign mechanism in embodiment 1 and embodiment 2 the present invention relates to;
Fig. 3 is the cyclic train experiment teaching aid structural representation when cyclic train is the second positive sign mechanism in embodiment 1 and embodiment 2 the present invention relates to; And
Fig. 4 is that the cyclic train experiment teaching aid that the present invention relates to is in the plot of embodiment 2 middle gears and planet carrier rotating ratio.
Embodiment
Referring to accompanying drawing, cyclic train experiment teaching aid involved in the present invention is elaborated.
< embodiment 1>
Fig. 1 is the cyclic train experiment teaching aid structural representation when cyclic train is negative mechanisms in embodiment 1 and embodiment 2 the present invention relates to.
Fig. 2 is the cyclic train experiment teaching aid structural representation when cyclic train is the first positive sign mechanism in embodiment 1 and embodiment 2 the present invention relates to.
Fig. 3 is the cyclic train experiment teaching aid structural representation when cyclic train is the second positive sign mechanism in embodiment 1 and embodiment 2 the present invention relates to.
As shown in Figure 1, Figure 2 and Figure 3, cyclic train experiment teaching aid 50 has cyclic train, input block and data acquisition display unit.
Cyclic train comprises: large sun gear 1, the first small sun gear 22, the second small sun gear 20, the 3rd small sun gear 7, the first row star-wheel 2, the second planetary gear 3, the third line star-wheel 6 and the second ring flange 5.
Input block comprises: the first handwheel 10, the first belt wheel 30, driving-belt 26, the second belt wheel 25 and the second handwheel 27.
Data acquisition display unit comprises: the first magnetic-type sensor (not shown), the second magnetic-type sensor (not shown), the 3rd magnetic-type sensor (not shown), the first display (not shown), second display (not shown), the 3rd display (not shown), the first bevel gear 8, the first bevel gear shaft 35, the second bevel gear 17, the first pointer 36, third hand tap gear 9, the second bevel gear shaft 34, the 4th bevel gear 11, the first spur gear 13, the second spur gear 15, the second pointer 37, and dial plate 38.
Main shaft 21 crosses whole casing 33 from centre, two ends are fixed on casing 33 left and right sides.The first handwheel 10 is positioned at casing 33 left hand external, is connected on main shaft 21.The first handwheel 10 shakes, and can be main shaft 21 input speeds.
Large sun gear 1 for the number of teeth be 135 annular wheel, right side has gear cap 39, gear cap 39 empty sets are on main shaft 21.The number of teeth is that the second small sun gear 20 right-to-lefts that the first small sun gear 22 of 25 and the number of teeth are 32 are connected on main shaft 21.
The 3rd small sun gear 7 is connected by the first slipping mechanism with large sun gear 1, and concrete structure the following is: the first sleeve pipe 19 is connected in the 3rd small sun gear 7 left sides, and the second sleeve pipe 32 is connected in gear cap 39 right sides of large sun gear 1, and empty set is on main shaft 21; The second sleeve pipe 32 is provided with groove, and the 3rd sleeve pipe 29 is embedded in the groove of the second sleeve pipe 32; The 3rd sleeve pipe 29 and the second sleeve pipe 32 can relatively rotate; The first in command 46 is positioned at main shaft 21 belows, and connects the first sleeve pipe 19 and the 3rd sleeve pipe 29; The first in command 46 has guide rail (not shown), and guide rail is fixed on casing 33 bottoms; The 3rd handle 45 is connected to the first in command's 46 right-hand members, and from right side, stretches out casing 33; The 3rd handle 45 moves right, and can drive the first in command 46 to move to right, and the first in command 46 drives the first sleeve pipe 19 and the 3rd sleeve pipe 29 integral body to move to right again, and the 3rd sleeve pipe 29 drives the second sleeve pipe 32 to move to right simultaneously.
The number of teeth is that 55 the first row star-wheel 2 is positioned at large sun gear 1 inside.The number of teeth of the second planetary gear 3 is 48.The first row star-wheel 2 is connected by the second slipping mechanism with the second planetary gear 3, and concrete structure is: Quadruplet pipe 4 is connected between the first row star-wheel 2 and the second planetary gear 3, and is connected in all rotating shafts 40; The second in command 23 is rectangle, and the upper left corner is fixed on Quadruplet pipe 4, and right-hand member middle part is connected on the 7th sleeve pipe 24; If reeded the 8th sleeve pipe 31 empty sets are at the second sleeve pipe 32, and be positioned at the 3rd sleeve pipe 29 lefts; The 7th sleeve pipe 24 is embedded on the groove of the 8th sleeve pipe 31, and the 7th sleeve pipe 24 and the 8th sleeve pipe 31 can relatively rotate; The 4th handle 28 left end middle parts are connected on the 8th sleeve pipe 31, and middle through casing 33, right-hand member stretches out outside casing 33; The 4th handle 28 is moved to the left, and can drive successively the 8th sleeve pipe 31, the 7th sleeve pipe 24 and the second in command 23 to move to left, and the second in command 23 drives the first row star-wheel 2, Quadruplet pipe 4 and the second planetary gear 3 integral body to move to left again.
The planet carrier that the first ring flange (not shown) and the second ring flange 5 are cyclic train.Bearing empty set is passed through on main shaft 21 in the first ring flange lower end, and between the first small sun gear 22 and gear cap 39.The upper end of the first ring flange is connected in all rotating shafts 40, and it is right-hand to be positioned at the first row star-wheel 2.Bearing empty set is passed through on main shaft 21 in the lower end of the second ring flange 5, and is positioned at the left of the second small sun gear 20.The upper end of the second ring flange 5 is connected in all rotating shafts 40, and is positioned at the left of Quadruplet pipe 4.The first ring flange and the second ring flange 5 link together by connecting link 44.
The number of teeth is the low order end that the third line star-wheel 6 of 45 is fixed on all rotating shafts 40, is positioned at the left on the second ring flange 5 tops.The left end of the second ring flange 5 bottoms is connected and is set with the number of teeth 35 that is connected on the first sleeve pipe 19, the first sleeve pipes 19 on the 5th sleeve pipe 41, the five sleeve pipes 41 is the 3rd small sun gear 7.
When large sun gear 1, the first small sun gear 22 and the first row star-wheel 2 are during in engagement, cyclic train middle gear external toothing number of times is 1, and cyclic train is negative mechanisms, and cyclic train experiment teaching aid 50 is in state as shown in Figure 1.
The 3rd handle 45 moves right, can drive the first in command 46 to move, the first in command 46 drives the first sleeve pipe 19 and the 3rd sleeve pipe 29 integrated movings again, the 3rd sleeve pipe 29 drives the second sleeve pipe 32 to move to right simultaneously, large sun gear 1 is closed with the first row star-wheel 2 drop out of gears, the 3rd small sun gear 7 enters engagement with the third line star-wheel 6, and the first small sun gear 22 and the first row star-wheel 2 keep engagement.Now, cyclic train middle gear external toothing number of times is 2, and cyclic train is transformed to the first positive sign mechanism, and cyclic train experiment teaching aid 50 is in state as shown in Figure 2.
The 4th handle 28 is moved to the left, can drive successively the 8th sleeve pipe 31, the 7th sleeve pipe 24 and the second in command 23 to move to left, the second in command 23 drives the first row star-wheel 2, Quadruplet pipe 4 and the second planetary gear 3 integral body to move to left again, the first small sun gear 22 and the first row star-wheel 2 drop out of gears are closed, the second small sun gear 20 and the second planetary gear 3 enter engagement, and the 3rd small sun gear 7 and the third line star-wheel 6 keep engagement.Now, cyclic train middle gear external toothing number of times is 2, and cyclic train is transformed to the second positive sign mechanism, and cyclic train experiment teaching aid 50 is in state as shown in Figure 3.
The first belt wheel 30 is connected on the second sleeve pipe 32, and between the 3rd sleeve pipe 29 and the 8th sleeve pipe 31.The second belt wheel 25 is fixed on casing 33 front inner wall, and is connected with the first belt wheel 30 by driving-belt 26.The second handwheel 27 is positioned at casing 33 right hand external, is connected on the second belt wheel 25.The second handwheel 27 shakes, and rotating speed can be by passing to large sun gear 1 by the second belt wheel 25, driving-belt 26, the first belt wheel 30 and the second sleeve pipe 32 successively.
The first magnetic-type sensor is fixed on casing 33, by measuring main shaft 21 rotating speeds near main shaft 21, and is connected with the first display by wire, and the first display can show the integral part of main shaft 21 rotating speeds.The second magnetic-type sensor is also fixed on casing 33, by measuring the rotating speed of the second ring flange 5 near the 5th sleeve pipe 41, and is connected with second display by wire, and second display can show the integral part of the second ring flange 5 rotating speeds.The 3rd magnetic-type sensor is fixed on casing 33, by measuring main shaft 21 rotating speeds near the second sleeve pipe 32, and is connected with the 3rd display by wire, and the 3rd display can show the integral part of large sun gear 1 rotating speed.
The first bevel gear 8 is connected on the 5th sleeve pipe 41, and is positioned at the first sleeve pipe 19 lefts.The second bevel gear 17 and the first bevel gear 8 have identical parameters, and the first bevel gear 8 and the second bevel gear 17 are in engagement.The first bevel gear shaft 35 is connected between the first bevel gear 8 and the second bevel gear 17, and intermediate sleeve has clutch shaft bearing 16.Clutch shaft bearing 16 is fixed on clutch shaft bearing seat 43, and clutch shaft bearing seat 43 is fixed on casing 33 bottoms.The first bevel gear shaft 35 ends connect the first pointer 36.There is dial plate 38 at the first pointer 36 rears, on dial plate 38, with scale, are fixed on casing 33 outsides, the place ahead.The reading of the first pointer 36 is the fraction part of the second ring flange 5 rotating speeds.
Third hand tap gear 9 is fixed on the high order end of main shaft 21, is positioned at the inside of casing 33.The 4th bevel gear 11 and third hand tap gear 9 have identical parameters, and third hand tap gear 9 and the 4th bevel gear 11 are in engagement.The second bevel gear shaft 34 is connected between third hand tap gear 9 and the 4th bevel gear 11, and intermediate sleeve has the second bearing 12.The second bearing 12 is fixed on the second bearing seat 42, and the second bearing seat 42 is fixed on casing 33 bottoms.The second bevel gear shaft 34 ends connect the first spur gear 13.The second spur gear 15 and the first spur gear 13 have identical parameters, and the first spur gear 13 and the second spur gear 15 are in engagement.The second spur gear 15 rears connect the 6th sleeve pipe 14, the six sleeve pipes 14 and are enclosed within on the first bevel gear shaft 35.The 6th sleeve pipe 14 ends connect the second pointer 37.The second pointer 37 and the first pointer 36 are all positioned at dial plate 38 the place aheads.The reading of the second pointer 37 is the fraction part of main shaft 21 rotating speeds.
Embodiment effect and effect
The cyclic train experiment teaching aid related according to the present embodiment, because cyclic train has large sun gear, the first small sun gear, the second small sun gear, the 3rd small sun gear, the first row star-wheel, the second planetary gear, the third line star-wheel and planet carrier; And the 3rd small sun gear be connected by the first slipping mechanism with large sun gear, the first row star-wheel is connected by the second slipping mechanism with the second planetary gear, so the movement of two slipping mechanisms can drive associated gear, the engagement of cyclic train middle gear is changed, thereby can demonstrate cyclic train, between a kind of negative mechanisms and two kinds of positive sign mechanisms, switch.
< embodiment 2>
In cyclic train experiment teaching aid 50 in embodiment 1, large sun gear 1, the first small sun gear 22 and the first row star-wheel 2 are when engagement, cyclic train is negative mechanisms, and is 2k-H type cyclic train, and the computing formula of the ratio of gear of this cyclic train should be: i
122 h=(n
22-n
h)/(n
1-n
h)=(-1)
1z
1/ Z
2;
Change into (n
22/ n
h-1)/(n
1/ n
h-1)=(1)
1z
1/ Z
2;
Make X=n
22/ n
h, Y=n
1/ n
h;
Obtain (X-1)/(Y-1)=-Z
1/ Z
2.
Wherein, n
22be the rotating speed of the first small sun gear 22, n
1for the rotating speed of large sun gear 1, n
hit is the rotating speed of the second ring flange 5; X is the rotating ratio of the first small sun gear 22 and the second ring flange 5, and Y is the rotating ratio of large sun gear 1 and the second ring flange 5.Z
1for large sun gear 1 number of teeth 135, Z
2be first small sun gear 22 numbers of teeth 25 ,-Z
1/ Z
2=-135/25.
When the first handwheel 10 shakes, can be main shaft 21 input speeds; And the first small sun gear 22 is connected on main shaft 21, identical with main shaft 21 rotating speeds, the first handwheel 10 can be also the first small sun gear 22 input speeds.When the second handwheel 27 shakes, rotating speed can be passed to large sun gear 1 by the second belt wheel 25, driving-belt 26, the first belt wheel 30 and the second sleeve pipe 32 successively.
The first display can be exported the integral part of main shaft 21 rotating speeds, namely exports the first small sun gear 22 rotation speed n
22integral part; The second pointer 37 can show the fraction part of main shaft 21 rotating speeds, namely shows the first small sun gear 22 rotation speed n
22fraction part.When the first handwheel 10 rotating speeds change, the reading change records of the first display and the second pointer 37 is in table 1.
The 3rd display can be exported large sun gear 1 rotation speed n
1integral part, when the second handwheel 27 rotating speeds change, the reading change records of the 3rd display is in table 1.
Second display can be exported the second ring flange 5 rotation speed n
hintegral part, the first pointer 36 can show the second ring flange 5 rotation speed n
hfraction part, the reading change records of second display and the first pointer 36 is in table 1.
Table 1 rotary speed data record sheet
| n 22Integral part | +101 | +103 | -101 | -100 | 0 | +101 |
| n 22Fraction part | 10/12 | 10/12 | 3.5/12 | 9.5/12 | 0 | 3/12 |
| n 1Integral part | +69 | -71 | +71 | -76 | +70 | 0 |
| n HIntegral part | +73 | -38 | +50 | -78 | +58 | +16 |
| n HFraction part | 9.5/12 | 7/12 | 4.5/12 | 5/12 | 5/12 | 10/12 |
Wherein, the sign obtaining value method in table 1 is: see from left to right, regulation clockwise rotates direction for "+", rotates counterclockwise direction for "-".
By n
22, n
1, X=n
22/ n
h, Y=n
1/ n
hvalue calculate, be listed in table 2
The numerical tabular of table 2 gear and planet carrier rotating ratio
| n 22 | +101.8 | +103.8 | -101.3 | -100.08 | 0 | +101.3 |
| n 1 | +69 | -71 | +71 | -76 | +70 | 0 |
| n H | +73.8 | -38.6 | -50.4 | -78.4 | +58.4 | +16.8 |
| X | 0.93 | 1.84 | 1.4 | 0.96 | 1.2 | 0 |
| Y | 1.38 | -2.69 | -2.01 | 1.29 | 0 | 6.01 |
Utilize software for mathematical computing matlab by X=n
22/ n
hand Y=n
1/ n
hnumerical value described point line, after matching, obtain straight line as shown in Figure 4.Both are linear as can be seen from Figure 4.The slope of matched curve is-5, and approximately etc.-5.4 also approximate-135/25; And cross point (0.96,1.29), be similar to the straight line of point (1,1), so epicyclic gearing can be verified establishment than computing formula.
When in cyclic train teaching aid 50, cyclic train is negative mechanisms, experiment student shakes the first handwheel 10, impression the first handwheel 10 rotating torque sizes.The 3rd handle 45 moves right, and cyclic train is transformed to the first positive sign mechanism, and experiment student shakes the first handwheel 10, impression the first handwheel 10 rotating torque size variation.The 4th handle 28 is moved to the left, and cyclic train is transformed to the second positive sign mechanism, and experiment student shakes the first handwheel 10, impression the first handwheel 10 rotating torque size variation.
Embodiment effect and effect
The cyclic train experiment teaching aid related according to the present embodiment, owing to thering is input block and data acquisition display unit, therefore can be the rotating speed of large sun gear and main shaft input change, export the rotating speed of large sun gear, main shaft and planet carrier simultaneously, and the rotating speed of main shaft is identical with the rotating speed of the first small sun gear, so can access one group, take respectively the data that the first small sun gear and planet carrier rotating ratio X, large sun gear and planet carrier rotating ratio be Y, take X and Y as coordinate figure graphed, can verify that both are linear, and slope is for being-Z
1/ Z
2, and cross point (1,1), thus can verify that epicyclic gearing compares computing formula.
In addition, the cyclic train experiment teaching aid related according to the present embodiment, when cyclic train is positive sign mechanism, experiment student shakes the first handwheel, resistance can obviously be experienced very large, when the relative cyclic train of the first handwheel rotating torque is negative mechanisms, increase a lot, can illustrate that the transmission efficiency of positive sign mechanism cyclic train is more far short of what is expected than negative mechanisms, thereby can verify that positive sign mechanism transmission efficiency is more much smaller than negative mechanisms.
Certainly, the cyclic train experiment teaching aid the present invention relates to is not merely defined in the structure in above embodiment.
Claims (8)
1. a cyclic train experiment teaching aid, is characterized in that, comprising:
Cyclic train;
Input block; And
Data acquisition display unit,
Wherein, described cyclic train comprises: centre wheel, planetary gear and planet carrier,
Described centre wheel comprises that the number of teeth is Z
1large sun gear, the number of teeth be Z
2the first small sun gear, the number of teeth are Z
3the second small sun gear, the number of teeth are Z
4the 3rd small sun gear; Described planetary gear comprises that the number of teeth is Z
5the first row star-wheel, the number of teeth be Z
6the second planetary gear, the number of teeth be Z
7the third line star-wheel; Described Z
1, Z
2, Z
3, Z
4, Z
5, Z
6and Z
7meet following relation: Z
1=2Z
5+ Z
2; Z
4+ Z
7=Z
3+ Z
6=Z
5+ Z
2,
Described large sun gear is annular wheel, and right side has gear cap, and empty set is on main shaft; Described the first small sun gear and described the second small sun gear right-to-left are connected on described main shaft; Described the 3rd small sun gear is positioned at described the second small sun gear left, and empty set is on described main shaft, and described the 3rd small sun gear is connected by the first slipping mechanism with described large sun gear,
Described the first row star-wheel can with described large sun gear in mesh, with described the first small sun gear external toothing; Described the first row star-wheel is connected by the second slipping mechanism with described the second planetary gear, and right-to-left is connected in all rotating shafts; Described third planet wheel is positioned at described the second planetary gear left, is connected in described all rotating shafts;
Between described main shaft and described all rotating shafts, be fixedly connected with planet carrier described at least one, one end of described planet carrier is by bearing empty set on described main shaft, and the other end is connected in described all rotating shafts,
When described large sun gear, described the first small sun gear and described the first row star-wheel are during in engagement, described cyclic train is negative mechanisms; When described the first slipping mechanism moves right, described large sun gear and described the 3rd small sun gear integral body move to right, described large sun gear and described the first row star-wheel drop out of gear are closed, described the 3rd small sun gear and described the third line star-wheel enter engagement, described the first small sun gear and described the first row star-wheel keep engagement, and described cyclic train is transformed to the first positive sign mechanism; When described the second slipping mechanism is moved to the left, described the first row star-wheel and described the second planetary gear integral body move to left, described the first small sun gear and described the first row star-wheel drop out of gear are closed, described the second small sun gear and described the second planetary gear enter engagement, described the 3rd small sun gear and described the third line star-wheel keep engagement, described cyclic train is transformed to the second positive sign mechanism
Described input block comprises:
The speed of mainshaft input media being connected with described main shaft; The large sun gear rotating speed input media being connected with described gear cap,
Described data acquisition display unit comprises:
The speed of mainshaft harvester being connected with described main shaft; The planet carrier rotating speed harvester being connected with described planet carrier; The large sun gear rotating speed harvester being connected with described large sun gear; By wire, be connected with described speed of mainshaft harvester, described planet carrier rotating speed harvester, described large sun gear rotating speed harvester respectively for showing the first display, second display, the 3rd display of rotating speed.
2. mechanical teaching aid according to claim 1, is characterized in that:
Wherein, described the first slipping mechanism comprises: be connected in the first sleeve pipe on described the 3rd small sun gear; Be connected in the gear cap of described large sun gear and second sleeve pipe of empty set on described main shaft, described the second sleeve pipe is provided with groove; Be embedded in the 3rd sleeve pipe in the groove of described the second sleeve pipe, described the 3rd sleeve pipe and described the second sleeve pipe can relatively rotate, and connect the first in command of described the first sleeve pipe and described the 3rd sleeve pipe, and the described first in command has guide rail.
3. mechanical teaching aid according to claim 1, is characterized in that:
Wherein, described the second slipping mechanism comprises: be connected to the Quadruplet pipe between described the first row star-wheel and described the second planetary gear, described Quadruplet pipe is connected in described all rotating shafts, the second in command who is connected with described Quadruplet pipe.
4. mechanical teaching aid according to claim 1, is characterized in that:
Wherein, described speed of mainshaft input media is the first handwheel being connected with described main shaft, by described the first handwheel, can shake described main shaft; Described large sun gear rotating speed input media comprises: be connected in the first belt wheel on described the second sleeve pipe, be positioned at described first belt wheel the place ahead second belt wheel identical with described the first belt wheel parameter, on described the first belt wheel and described the second belt wheel, be connected with driving-belt, described the second belt wheel is connected with described the second handwheel, described the second handwheel shakes, and rotating speed can be by passing to described large sun gear by described the first belt wheel, described driving-belt, described the second belt wheel and described the second sleeve pipe successively.
5. mechanical teaching aid according to claim 1, is characterized in that:
Wherein, described speed of mainshaft input media is the stepless speed-change motor being connected with described main shaft, and described large sun gear rotating speed input media is the motor being connected on described the second sleeve pipe.
6. mechanical teaching aid according to claim 1, is characterized in that:
Wherein, described speed of mainshaft harvester is the first magnetic-type sensor being connected with described the first display by wire, and described the first magnetic-type sensor is measured the speed of mainshaft near described main shaft; Described planet carrier rotating speed harvester comprises: the second magnetic-type sensor being connected with described second display by wire, be connected in the 5th sleeve pipe on described planet carrier, described the first sleeve pipe empty set is on described the 5th sleeve pipe, and described the second magnetic-type sensor is measured planet carrier rotating speed near described the 5th sleeve pipe; Described large sun gear rotating speed harvester comprises: the 3rd magnetic-type sensor being connected with described the 3rd display by wire, described the 3rd magnetic-type sensor is measured large sun gear rotating speed near described the second sleeve pipe.
7. mechanical teaching aid according to claim 1, is characterized in that:
Wherein, described data acquisition display unit also comprises:
Be connected in the first bevel gear on described the 5th sleeve pipe; Have the second bevel gear of identical parameters with described the first bevel gear, described the first bevel gear and described the second bevel gear are in engagement; Be connected to the first bevel gear shaft between described the first bevel gear and described the second bevel gear; Be connected to the first pointer of described the first bevel gear shaft end,
Be fixed on the third hand tap gear on described main shaft; Take turns the 4th bevel gear with identical parameters with described triconodont, described third hand tap gear and described the 4th bevel gear are in engagement; Be connected to the second bevel gear shaft between described third hand tap gear and described the 4th bevel gear; Be connected to the first spur gear on described the second bevel gear shaft; Have the second spur gear of identical parameters with described the first spur gear, described the first spur gear and described the second spur gear are in engagement; Be connected to the 6th sleeve pipe on described the second spur gear, described the 6th casing pipe sleeve is on described the first bevel gear shaft; Be connected to the second pointer of described the 6th cannula end.
8. mechanical teaching aid according to claim 1, is characterized in that:
Wherein, described planet carrier is ring flange.
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| Application Number | Priority Date | Filing Date | Title |
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| CN201410255257.1A CN104021720B (en) | 2014-06-10 | 2014-06-10 | Cyclic train experiment teaching aid |
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| Application Number | Priority Date | Filing Date | Title |
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| CN201410255257.1A CN104021720B (en) | 2014-06-10 | 2014-06-10 | Cyclic train experiment teaching aid |
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| CN104021720A true CN104021720A (en) | 2014-09-03 |
| CN104021720B CN104021720B (en) | 2016-05-25 |
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| CN104464493A (en) * | 2014-12-25 | 2015-03-25 | 北京理工大学 | Ordinary gear train and epicyclic gear train function display and contrastive analysis platform |
| CN104575233A (en) * | 2014-12-29 | 2015-04-29 | 玉林师范学院 | Composite gear transmission time instrument teaching aid |
| CN104575230A (en) * | 2014-12-19 | 2015-04-29 | 福建工程学院 | Experimental device for calculation and verification of transmission ratio and comprehensive structural analysis of gear train |
| CN105047063A (en) * | 2015-08-13 | 2015-11-11 | 河海大学常州校区 | Six-gear complex gear train convertible teaching aid |
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| CN110164284A (en) * | 2019-05-16 | 2019-08-23 | 广东机电职业技术学院 | A kind of planetary gear train Teaching instrument of multistep speed regulation |
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| CN108335571B (en) * | 2018-03-05 | 2019-08-06 | 王映乐 | A kind of teaching circulating exhibition device |
| CN110164284A (en) * | 2019-05-16 | 2019-08-23 | 广东机电职业技术学院 | A kind of planetary gear train Teaching instrument of multistep speed regulation |
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