Summary of the invention
Fundamental purpose of the present utility model is to solve the problem, and provides a kind of gearing type gear model for demonstration purpose can drawing the involute profile of the different number of teeth, modulus and non-standard pressure angle.
The utility model simulates tooth bar slotting tool by zero-pressure angle, 5th gear, 4th gear, 3rd gear, second gear, first gear, base plate, tray paper disk and coupling ring composition, first axle is fixed on base plate, its position can adjust up and down as required in groove, first gear and coupling ring are fixed together and are set on the first axle, sheathed bearing between coupling ring and the first axle, the sheathed fixing tray paper disk in card periphery of coupling ring, the column of coupling ring has external thread, sheathed platen dish on coupling ring also screws with knob, 3rd gear is positioned on the second gear, 3rd gear and the second gear are articulated on base plate with the second axle, 3rd gear and the second gear are fixed together, 4th gear is articulated on base plate with the 3rd axle, first gear is together with the second gears meshing, 3rd gear is together with the 4th gears meshing, base plate offers dovetail groove, ram is slidably installed in dovetail groove, ram is fixed the 5th gear, zero-pressure angle tooth bar slotting tool is fixed on tooth bar by self chute and set nut, 4th wheel and rack meshes together.
Described base plate offers groove, and the first axle and the second axle wear and are fixed in the groove of base plate, and the first axle and the second axle can move up and down in the groove of base plate, and the 3rd axle is fixed on base plate.
Base plate has circular hole and spring is housed and steel ball forms spring-loaded plunger, the edge of ram has bar tooth, the steel ball of spring-loaded plunger and the bar tooth contact at ram edge, spring-loaded plunger position ensures that steel ball can contact with ram always, thus when making tooth bar move a protrusion distance, steel ball is arranged in bar tooth, locates, ram evenly to draw profile of tooth.
The course of work of the present utility model and principle are:
When the utility model uses, first adjust zero-pressure angle tooth bar slotting tool according to the modulus and pressure angle that will describe involute profile gear.Calculating according to base tangent length:
and rounding is to nearest integer.
W
k=m
ncosα[π(k-0.5)+z′invα];
K---institute is across the number of teeth;
W
k---common normal nominal length;
α---be the pressure angle of processed gear;
Z
x---be the gear number of teeth;
Distance between heteropleural two tooth of adjustment zero-pressure angle tooth bar slotting tool, makes its value be W
k.Then the middle transmission gear number of teeth is selected according to the number of teeth of processed gear, as the number of teeth of the first gear, the second gear and the 3rd gear, the middle transmission gear number of teeth, the first gear, relation between the second gear and the number of teeth of the 3rd gear, drawn by following formula:
M
x, z
x---be respectively modulus and the number of teeth of processed gear;
M---is the modulus of the first gear, the second gear, the 3rd gear, the 4th gear, the 5th gear;
Z
1---be the number of teeth of the first gear.
Can be calculated the gear ratio of the second gear and the 3rd gear, in the middle of the equipment gear provided, select the first gear, the second gear and the 3rd gear according to this gear ratio.Second gear and the 3rd gear are installed on the second axle and realize coaxial corotation, the position adjusting the first axle ensures on the first gear and the second gears meshing, on the 3rd gear and the 4th gears meshing, on the 4th gear and the 5th gears meshing.Unclamp set nut and knob, pick up platen dish, wheel uncoated paper is placed on below zero-pressure angle tooth bar slotting tool, puts platen dish, then screw on knob contact roller uncoated paper.Adjustment zero-pressure angle tooth bar slotting tool, makes the distance of zero-pressure angle tooth bar slotting tool reticule and the wheel blank centre of gyration be the reference radius of drawn gear, now zero-pressure angle tooth bar slotting tool center line and wheel blank reference circle tangent.Zero-pressure angle tooth bar slotting tool is moved to the position starting to engage, promote zero-pressure angle tooth bar slotting tool or rotate tray paper disk, just can start the involute profile drawing gear, describe the profile of zero-pressure angle tooth bar slotting tool blade with pencil along blade.
If the first direct geared and the 5th meshed transmission gear, following formula draws the first gear number of teeth:
m
Xz
x=m
1z
1
M
x, z
x---be respectively modulus and the number of teeth of processed gear;
M
1, z
1modulus and the number of teeth of----be the first gear.
Select modulus and the number of teeth of the first gear according to the modulus of processed gear and the number of teeth, even if the reference diameter of the first gear is equal with the reference diameter of processed gear, the position adjusting the first axle ensures on the first gear and the 5th gears meshing.Repeat said process, describe the profile of simulation tooth bar slotting tool blade with pencil along blade.
Answer the distance of re-adjustments zero-pressure angle tooth bar slotting tool reticule and the wheel blank centre of gyration can describe the involute profile of normal shift and negative addendum modification.
The beneficial effects of the utility model:
1, the distance between two cutters tooth can regulate, and depicts the involute gear tooth profile of different modulus.
2, the principle of roll flute processing in gear working method can be simulated, understand a pair involute gear theory of engagement better.
3, the process that the modulus of the first gear and the number of teeth can simulate multiple gear is only changed, convenient and swift.
Embodiment
First embodiment working method of the present utility model: the first gear 6 to be engaged with the 5th gear 2 by the second gear 5, the 3rd gear 4, the 4th gear 3 and realizes transmission.
Second embodiment working method of the present utility model: the first gear 6 directly engages with the 5th gear 2 and realizes transmission.
Refer to shown in Fig. 1 and Fig. 2, first embodiment is by zero-pressure angle tooth bar slotting tool 17, 5th gear 2, 4th gear 3, 3rd gear 4, second gear 5, first gear 6, base plate 8, tray paper disk 9 and coupling ring 12 form, first axle 13 is fixed on base plate 8, first gear 6 and coupling ring 12 are fixed together and are set on the first axle 13, sheathed bearing 14 between coupling ring 12 and the first axle 13, the sheathed fixing tray paper disk 9 in card periphery of coupling ring 12, the column of coupling ring 12 has external thread, sheathed platen dish 10 on coupling ring 12 also screws with knob 11, 3rd gear 4 is positioned on the second gear 5, 3rd gear 4 and the second gear 5 are articulated on base plate 8 with the second axle 15, 3rd gear 4 and the second gear 5 are fixed together, 4th gear 3 is articulated on base plate 8 with the 3rd axle 16, first gear 6 and the second gear 5 mesh together, 3rd gear 4 and the 4th gear 3 mesh together, base plate 8 offers dovetail groove 18, ram 19 is slidably installed in dovetail groove 18, ram 19 is fixed the 5th gear 2, zero-pressure angle tooth bar slotting tool 17 is fixed on the 5th gear by self chute 20 and set nut 1) on 2, 4th gear 3 and the 5th gear 2 mesh together.
Described base plate 8 offers groove 7, and the first axle 13 and the second axle 15 wear and are fixed in the groove 7 of base plate 8, and the first axle 13 and the second axle 15 can move up and down in the groove 7 of base plate 8, and the 3rd axle 16 is fixed on base plate 8.
Refer to Fig. 7 and Fig. 8, second embodiment is fixed on base plate 8 by the first axle 13, first gear 6 and coupling ring 12 are fixed together and are set on the first axle 13, sheathed bearing 14 between coupling ring 12 and the first axle 13, the sheathed fixing tray paper disk 9 in card periphery of coupling ring 12, the column of coupling ring 12 has external thread, sheathed platen dish 10 on coupling ring 12 also screws with knob 11, first gear 6 and the 5th gear 2 mesh together, and zero-pressure angle tooth bar slotting tool 17 is fixed on the 5th gear 2 by self chute 20 and set nut 1.
As shown in Figures 2 and 3, base plate 8 has circular hole and spring 81 is housed and forms spring-loaded plunger with steel ball 82, the edge of ram 19 has bar tooth, the steel ball 82 of spring-loaded plunger and the bar tooth contact at ram 19 edge, spring-loaded plunger position ensures that steel ball 82 can contact with ram 19 always, thus when making the 5th gear 2 move a protrusion distance, steel ball 82 is arranged in bar tooth, ram 19 is located, evenly to draw profile of tooth.
Utility model point of the present utility model is:
1, the first gear 6 on the first axle 13 does not directly engage with tooth bar 2, but by a series of gear drive, such as: be contained in the first gear 6 on the first axle 13 and the second gear 5 engages, second gear 5 and the 3rd gear 4 can realize coaxial corotation, and the 3rd gear 4 transmits motion mutually through the 4th gear 3 and the 5th gear 2.
2, the first axle 13 and the second axle 15 wear and are fixed in the groove 7 of base plate 8, and the first axle 13 and the second axle 15 can move up and down in the groove 7 of base plate 8, and the 3rd axle 16 is fixed on base plate 8.
3, on tray paper disk 9, coupling ring 12 and the first gear 6 be fixed together, and rotates around the first axle 13 with identical angular velocity.
4, the pressure angle of zero-pressure angle tooth bar slotting tool 17 is 0 °.
5, the first gear engages with the 5th direct geared, and adjustment is quick.
The course of work and the principle of the first embodiment are:
When the utility model uses, first adjust zero-pressure angle tooth bar slotting tool 17 according to the modulus and pressure angle that will describe involute profile gear.According to a pair involute gear correct engagement condition:
and rounding is to nearest integer.
K---institute is across the number of teeth;
W
k---common normal nominal length;
α---be the pressure angle of processed gear;
Z
x---be the number of teeth of processed gear;
Distance between homonymy two tooth of adjustment zero-pressure angle tooth bar slotting tool 17, makes its value be W
k.According to the first scheme, then select the middle transmission gear number of teeth according to the number of teeth of processed gear, as the number of teeth of the first gear 6, second gear 5 and the 3rd gear 4, the middle transmission gear number of teeth, as the relation between the first gear 6, second gear 5 and the number of teeth of the 3rd gear 4, drawn by following formula:
M
x, z
x---be respectively modulus and the number of teeth of processed gear;
M---is the modulus of the first gear 6, second gear 5, the 3rd gear 4, the 4th gear 3, the 5th gear (tooth bar) 2;
Z
1---be the number of teeth of the first gear 6.
Can be calculated the gear ratio of the second gear 5 and the 3rd gear 4, in the middle of the equipment gear provided, select the first gear 6, second gear 5 and the 3rd gear 4 according to this gear ratio.Second gear 5 and the 3rd gear 4 are installed on the second axle 15 and realize coaxial corotation, the position adjusting the first axle 13 ensures that in the first gear 6 and the engagement of the second gear 5, the 3rd gear 4 and the 4th gear 3 engage, and the 4th gear 3 and the 5th gear 2 engage.Unclamp set nut 1 and knob 11, pick up platen dish 10, drawing is placed on below zero-pressure angle tooth bar slotting tool 17, puts platen dish 10, then screw on knob 11 and compress drawing.Adjustment zero-pressure angle tooth bar slotting tool 17, makes the distance of zero-pressure angle tooth bar slotting tool 17 reticule and the wheel blank centre of gyration be the reference radius of drawn gear, now zero-pressure angle tooth bar slotting tool 17 center line and wheel blank reference circle tangent.Zero-pressure angle tooth bar slotting tool 17 is moved to the position starting to engage, then promote zero-pressure angle tooth bar slotting tool 17 or rotate tray paper disk 9, each zero-pressure angle tooth bar slotting tool 17 1 segment distance to the right or left, such as 3 ~ 5mm, spring-loaded plunger is stuck between ram 19 two teeth, starts the tooth curve drawing analogue zero pressure angle tooth bar slotting tool 17 along simulation tooth bar slotting tool 17 edge, draws a cutter tooth-profile curve, a mobile ram 19, until draw 2 ~ 3 complete flank profils.The envelope of these flank profils is the flank profil of standard involute gear.
The course of work and the principle of the second embodiment are:
Select modulus and the number of teeth of the first gear according to the modulus of processed gear and the number of teeth, make the reference diameter of the first gear equal with the reference diameter of processed gear, the position adjusting the first axle ensures on the first gear and the 5th gears meshing.
m
Xz
x=m
1z
1
M
x, z
x---be respectively modulus and the number of teeth of processed gear;
M
1, z
1modulus and the number of teeth of----be the first gear.
First axle 13 is fixed on base plate 8, first gear 6 and coupling ring 12 are fixed together and are set on the first axle 13, sheathed bearing 14 between coupling ring 12 and the first axle 13, the sheathed fixing tray paper disk 9 in card periphery of coupling ring 12, the column of coupling ring 12 has external thread, sheathed platen dish 10 on coupling ring 12 also screws with knob 11, and the first gear 6 and the 5th gear 2 mesh together, and zero-pressure angle tooth bar slotting tool 17 is fixed on the 5th gear 2 by self chute 20 and set nut 1.Repeat the drawing step of the first scheme, the envelope drawing flank profil is the flank profil of standard involute gear.
If desired when cutting goes out X-gear, unclamp set nut 1, according to described by the requirement of cutting gear side potential coefficient, the position of adjustment zero-pressure angle tooth bar slotting tool 17, screws set nut 1, promotes zero-pressure angle tooth bar slotting tool 17 or rotate tray paper disk 9, the profile of zero-pressure angle tooth bar slotting tool 17 blade is drawn with pencil, finally depict involute gear tooth profile, then according to calculating the size of point circle and root diameter, draw dedendum circle and point circle.