CN2198456Y - Two way deflection less gear number cylindrical gear pair - Google Patents

Two way deflection less gear number cylindrical gear pair Download PDF

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CN2198456Y
CN2198456Y CN 94208649 CN94208649U CN2198456Y CN 2198456 Y CN2198456 Y CN 2198456Y CN 94208649 CN94208649 CN 94208649 CN 94208649 U CN94208649 U CN 94208649U CN 2198456 Y CN2198456 Y CN 2198456Y
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gear
utility
model
tooth
teeth
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蒋军
蒋学全
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Abstract

The utility model relates to a two-way deflection less teeth number cylindrical gear pair. The purpose of utility model is that the undercut can be avoided, the definite addendum thickness can be provided, less teeth number (Z1=1-10) is used for the transmission, the transmission efficiency can be improved, and the service life can be extended. The utility model has the structure that the radial and tangential two-way displacement correction method is synthetically used to design and process the less teeth number gear pair, and the number of teeth Z1 is between 1 and 10. The utility model has the advantages that the complex art performance is good, and the transmission ratio is improved; the utility model can be used to form the single stage, the double stage, the three-stage, or the four-stage cylinder gear speed reducer. The utility model is suitable for the nonstandard mechanical transmission device.

Description

Two way deflection less gear number cylindrical gear pair
The utility model belongs to few number of teeth involute of the two-way displacement that realizes stable drive ratio or circular-arc gear pair, is applicable in the non-standard transmission device of standard series retarder and various professed machines.
In background technique, China's utility model patent communique has been announced " gear with little teeth number retarder " on October 25th, 1989, its patent No. is 88221427.6, its objective is the single-stage and the twin-stage cylinder gear speed reducer series system product of few number of teeth of development involute and circular arc flute profile, raising velocity ratio by a relatively large margin, reduce weight, guarantee original performance simultaneously.Its technical solution is to adopt simple radial shift method, realize few number of teeth 2,3,4 with very big modification coefficient (Xtri>1) ... basic rack cutter cutting with general hobbing machine and orthodont system, this gear with little teeth number pair is with the number of teeth and the velocity ratio that obtains i>30 of Zc<70, and avoid undercut, 1. bearing capacity height, its deficiency are that resulting whole depth is much smaller than cutter parameters specified standard value m because topping n(
Figure 94208649X_IMG2
+ C * n), make transverse contact ratio ε α=0.5~0.8, the axial plane contact ratio ε that borrows bigger helixangle to obtain β>1 realizes continuous transmission, but Line of contact is short, and the gearwheel only following smaller portions flank of tooth of tooth top participates in engagement.2. end face working pressure angle very big (α t '=25 °~28 °), actual line of action is gearwheel one side too relatively, and flank of tooth relative sliding velocity is big, and last item power is big, and lubricant oil is required height.Because above-mentioned deficiency makes this gear with little teeth number limit its bearing capacity to a certain extent, and is unfavorable to transmission efficiency and working life.From the eighties mid-term, foreign publication is relevant for the research article of gear with little teeth number, and its thinking is similar to the above-mentioned background technology mostly.
The purpose of this utility model is to provide a kind of two-way displacement few number of teeth cylindrical gear pair in order to change the deficiency in the above-mentioned background technology, small gear number of teeth Z1=1~10, characteristics are to utilize suitable overlap arc Xtr to avoid undercut, make whole depth h reach reference value h=m with enough big tangent modification coefficient Xtt again n(
Figure 94208649X_IMG3
+ C * n), and have certain tooth top thick, while transverse tooth thickness S f>S k fThe flank of tooth of two gears of this gear pair can make full use of the end face meshingangle t'<25 °, transverse contact ratio ε α>0.6, flank of tooth slide relative coefficient is less, the wheel transverse tooth thickness, and the line of contact position is comparatively moderate, improves comprehensive technical performance, improves transmission efficiency and working life.
Technical solution of the present utility model is as follows:
Include radial shift and tangent modification in same equation of meshing design gear pair, be characterized in: avoid undercut with radial shift, the method that improves the whole depth of transverse tooth thickness with tangent modification realizes the gear with little teeth number pair, and its tooth number Z 1 is 1~10.
Technical solution of the present utility model also comprises:
The profile of tooth of this gear with little teeth number is an involute.
The profile of tooth of this gear with little teeth number also can be circular arc.
Description of drawings of the present utility model is as follows:
Fig. 1 is a bidentate involute cylindrical gear end view drawing.
Fig. 2 is three tooth involute cylindrical gear end view drawings.
Fig. 3 is four tooth involute cylindrical gear end view drawings.
Fig. 4 is a pair of gear pair mesh schematic representation.
Fig. 5 is that two pairs of gear pairs are formed twin-stage cylinder gear speed reducer schematic representation.
Symbol description is as follows among the above-mentioned figure:
The Z-gear number of teeth,
Figure 94208649X_IMG4
-addendum coefficient, C *-tip clearance coefficient radially, α n-pressure angle, m n-normal module, S Tf-tooth root transverse tooth thickness, h-whole depth, h kThe whole depth of-topping, i-gear pair velocity ratio, α t-transverse pressure angle, α ' t-end face working pressure angle, β-spiral angle of graduated circle, Zv-Equivalent number of teeth, Xtr-end face longitudinal edge potential coefficient, Xtt-end face tangent modification coefficient, a-gear pair reference center distance, a '-gear pair operating center distance, d-gear compound graduation circular diameter, da-addendum circle diameter of gear, d k a-tooth top crown diameter, d f-root diameter, ε α-transverse contact ratio, ε β-axial plane contact ratio, ε r-total face contact ratio, φ a-coefficient of facewidth, the b-facewidth.
Subscript 1 and 2---the parameter of expression small gear, gearwheel.
N, t-represent normal plane and end face.
Be that the utility model is described in further detail accompanying drawing below:
Referring to Fig. 1, this is the few number of teeth cylindrical gears of bidentate, for fear of undercut, utilizes suitable overlap arc Xtr to process, and dotted line is drawn among the figure promptly is, its topping, whole depth h kLess, the topping diameter is d k aThe utility model adopts radially and tangential two-way displacement method, avoids topping and optimizes gear parameter with tangent modification, calculates with two-way displacement equation of meshing, as shown in Figure 1 the solid line gear of drawing, and whole depth reaches reference value h=m like this n( + C * n), and having certain tooth top thick, transverse tooth thickness is S f, obviously greater than radial shift transverse tooth thickness S k f, i.e. S f>S k f, two of gear pair gears are when engagement like this, and the flank of tooth can make full use of, the end face meshingangle t'<25 °, transverse contact ratio ε α>0.6, flank of tooth slide relative coefficient is less, and line of contact is moderate, and combination property is better.Referring to Fig. 2 and Fig. 4, this is the two-way modified gear and the gear pair of three teeth.The following describes design and manufacture method, the few teeth number involute gear-pair of this a pair of two-way displacement, its normal module m n=5mm, tooth number Z 1=3, Z2=92, velocity ratio i=Z2/Z1=30.67, actual transmission centre distance a '=250mm.Like the short tooth system of employing, addendum coefficient, =0.8, tip clearance coefficient C radially * n=0.15, pressure angle α n=20 °.Selected helixangle=14 °, then: transverse pressure angle α t=tg -1(tg α n/ cos β)=20.5617 reference center distance α=m °, n(Z1+Z2)/and 2cos β=244.771mm, the end face meshingangle t'=α cos α t/ α '=23.55 °, gear compound graduation circular diameter: d1=m nZ1/cos β=15.459mm, d2=m nZ2/cos β=474.082mm; Tangent modification coefficient Xtt1=0.2~0.4, because of Z1=3, get Xtt1=0.3, Xtt2=-0.3, calculate overlap arc and Xtr=0.94 by comprehensive displacement equation of meshing, small gear Equivalent number of teeth Zv1=3.284, do not produce the minimum modification coefficient Xtr1min=0.7654 of undercut, so get Xtr1=0.81>Xtr1min, Xtr2=0.13, tip diameter da1=31.808mm, da2=483.42mm, get coefficient of facewidth φ a=0.4, then facewidth b=a ' * 0.4=100mm calculates according to formula in the design handbook: transverse contact ratio ε α=0.66, axial plane contact ratio ε β=1.54, total contact ratio ε r=2.192, the complete like this stationarity that can guarantee continuous engagement driving and transmission thereof.
Make available common gear hobbing machine cutting, tangential and radial shift amount can utilize the kinematic chain of gear hobbing machine or other technological measure to finish, and cutter all can with standard cutter or dedicated tool processing.
The few number of teeth cylindrical gears end face figure in position, the two-way limit of four teeth shown in Figure 3, principle is the same.
Can be grouped into single-stage, twin-stage with 1~4 pair of gear pair of the present utility model, three grades, level Four cylinder gear speed reducer, its velocity ratio is respectively i≤40, i=i1i2≤400, i=i1i2i3≤5000, i=i1i2i3i4≤30000.
Fig. 5 is the twin-stage cylinder gear speed reducer schematic representation that two pairs of gear pairs are formed, first order gear pair is formed by 1 and 3, velocity ratio i1=Z2/Z1=69/2=34.5, and second level gear pair is formed by 5 and 6, velocity ratio i2=Z6/Z5=45/5=9.6, resultant gear ratio i=i1i2=331.2. Gear shaft 1 and 5, output shaft are 7, and radial thrust bearing 2 is formed integral body with body 4, and gear 3,6 is connected with axle 5,7 with flat key respectively, and the velocity ratio of this double reduction device has surpassed the maximum transmission ratio i of existing grade III Standard retarder Man=i1i2i3=280.
Advantage of the present utility model and effect are as follows:
1, owing to adopt the processing method of two-way displacement design and processing gear with little teeth number, thoroughly changes the shortcoming of former unidirectional profile modified gear, increased transverse tooth thickness and tooth depth, had preferably comprehensive technical performance, improved transmission efficiency and service life.
2, the gear of two-way displacement design and processing has absorbed the advantage of the gear of former unidirectional displacement equally, has avoided undercut, simplifies the structure, and has reduced fitted position, weight saving, and cost has improved economic benefit.
3, use gear with little teeth number, can form single-stage, twin-stage, three grades, level Four cylinder gear speed reducer, gearratio reaches respectively i≤40, i≤400, i≤5000, i≤30000 gearratio height is simultaneously because of characteristics of the present utility model, so the stationarity of transmission and efficient obviously improve, bearing capacity also obviously improves, and the utility model also is applicable in the non-standard mechanical driving device.

Claims (3)

1, the few number of teeth cylindrical gear pair of two-way displacement, comprise the gear with little teeth number pair of utilizing design of radial shift method for correcting and processing, for avoiding undercut to make tooth root thick thick greater than tooth top, it is characterized in that: comprehensive utilization is radially with tangential two-way displacement method for correcting design and process the gear with little teeth number pair, its tooth number Z 1=1~10, the thick S of tooth root f>S k f, end face meshingangle t<25 °, transverse contact ratio ε α>0.6, whole depth h>h k
2, the few number of teeth cylindrical gear pair of two-way displacement according to claim 1, it is characterized in that: the profile of tooth of gear with little teeth number is an involute.
3, the few number of teeth cylindrical gear pair of two-way displacement according to claim 1, it is characterized in that: the profile of tooth of gear with little teeth number also can be circular arc.
CN 94208649 1994-04-08 1994-04-08 Two way deflection less gear number cylindrical gear pair Expired - Fee Related CN2198456Y (en)

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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN100389276C (en) * 2003-08-30 2008-05-21 柳青松 Less-tooth-number helical cylinder gear
CN108223699A (en) * 2018-01-31 2018-06-29 上齿集团有限公司 New energy electric logistic car rear bridge driven main reducing gear
CN109911717A (en) * 2019-03-27 2019-06-21 黎明职业大学 Fishing net winds discriminating gear, anti-roll flute fishing net wrap-up and fishing boat

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN100389276C (en) * 2003-08-30 2008-05-21 柳青松 Less-tooth-number helical cylinder gear
CN108223699A (en) * 2018-01-31 2018-06-29 上齿集团有限公司 New energy electric logistic car rear bridge driven main reducing gear
CN109911717A (en) * 2019-03-27 2019-06-21 黎明职业大学 Fishing net winds discriminating gear, anti-roll flute fishing net wrap-up and fishing boat

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