CN109211160A - A kind of calculation method of helical gear differential gear train volume - Google Patents
A kind of calculation method of helical gear differential gear train volume Download PDFInfo
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- CN109211160A CN109211160A CN201811144758.7A CN201811144758A CN109211160A CN 109211160 A CN109211160 A CN 109211160A CN 201811144758 A CN201811144758 A CN 201811144758A CN 109211160 A CN109211160 A CN 109211160A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H1/00—Toothed gearings for conveying rotary motion
- F16H1/28—Toothed gearings for conveying rotary motion with gears having orbital motion
- F16H1/32—Toothed gearings for conveying rotary motion with gears having orbital motion in which the central axis of the gearing lies inside the periphery of an orbital gear
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H57/00—General details of gearing
- F16H2057/0087—Computer aided design [CAD] specially adapted for gearing features; Analysis of gear systems
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Abstract
The invention discloses a kind of calculation methods of helical gear differential gear train volume, it obtains the related data of helical gear differential gear train the following steps are included: S1；S2 calculates all helical gear tip diameters in train；S3 calculates all helical gear volumes in train；S4 calculates the volume of helical gear differential gear train.The present invention can it is fast and convenient calculate helical gear differential gear train volume, calculation method is simple, substantially increases the computational accuracy of helical gear differential gear train volume.
Description
Technical field
The present invention relates to gear wheel-train art drive systems field, specifically a kind of helical gear differential gear train volume
Calculation method.
Background technique
Helical gear differential gear train has the advantages that small in size, light-weight, gear range is big, high-efficient and stable working,
In addition, helical gear differential gear train can be used for the synthesis of speed and decompose or be used for gear, therefore application is increasingly extensive.Helical teeth
Wheel differential gear train stereometer is the basis of helical gear differential gear train volume optimization.Therefore, carry out helical gear differential gear train volume
Calculating research has important engineering significance.
The calculating of train volume mostly uses simplified method at present, greatly reduces the precision of train volume-based model.
Summary of the invention
In view of the deficiencies of the prior art, the invention proposes a kind of calculation methods of helical gear differential gear train volume, significantly
Improve the computational accuracy of helical gear differential gear train volume.
The present invention solves its technical problem and adopts the technical scheme that:
A kind of calculation method of helical gear differential gear train volume provided in an embodiment of the present invention, the helical gear differential gear train
Structure mainly include centre wheel one, planetary gear one, planetary gear two, centre wheel two, planet carrier, centre wheel one is nibbled with planetary gear one
It closes, planetary gear two is engaged with centre wheel two, and planetary gear one and planetary gear two are connected on the same axis, intermeshing helical gear
The facewidth is equal, ignores the volume of planet carrier, characterized in that the calculation method the following steps are included:
S1 obtains the related data of helical gear differential gear train；
S2 calculates all helical gear tip diameters in train；
S3 calculates all helical gear volumes in train；
S4 calculates the volume of helical gear differential gear train.
As a kind of possible implementation of the present embodiment, in step sl, the dependency number of the helical gear differential gear train
According to the number of teeth z for including: centre wheel one1, planetary gear one number of teeth z2, planetary gear two number of teeth z3, centre wheel two number of teeth z4, in
The normal module m of heart wheel onen1, centre wheel two normal module mn2, centre wheel one normal pitch pressure angle ɑn1, centre wheel two method
Surface pressure angle ɑn2, centre wheel one helixangleβ1, centre wheel two helixangleβ2, centre wheel one normal plane tip clearance coefficient cn1 *, in
The normal plane tip clearance coefficient c of heart wheel twon2 *, centre wheel one normal plane addendum coefficient han1 *, centre wheel two normal plane addendum coefficient
han2 *, centre wheel one facewidth b1, centre wheel two facewidth b2And the diameter of axle d that centre wheel one cooperateszh1And planetary gear one cooperates
Diameter of axle dzh2And the diameter of axle d that planetary gear two cooperateszh3And the diameter of axle d that centre wheel two cooperateszh4。
As a kind of possible implementation of the present embodiment, in step s 2, all helical gear tooth tops in train are calculated
The detailed process of circular diameter are as follows:
The tip diameter d of centre wheel one is calculated by helical gear tip diameter calculation formulaa1, planetary gear one
Tip diameter da2, planetary gear two tip diameter da3, centre wheel two tip diameter da4。
As a kind of possible implementation of the present embodiment, the helical gear tip diameter calculation formula are as follows:
In formula, daFor helical gear tip diameter, mnFor helical gear normal module, z is the helical gear number of teeth, and β is oblique
The helical angle of gear, han *For helical gear normal plane addendum coefficient.
As a kind of possible implementation of the present embodiment, in step s3, all helical gear volumes in train are calculated
Detailed process are as follows:
According to helical gear tip diameter, helical gear volume calculation formula is reasonably selected, helical gear volume is passed through
The volume V of centre wheel one is calculated in calculation formula1, planetary gear one volume V2, planetary gear two volume V3, centre wheel two
Volume V4。
As a kind of possible implementation of the present embodiment, when helical gear tip diameter is less than or equal to 160mm, institute
State helical gear volume calculation formula are as follows:
In formula, V is helical gear volume, and b is the helical gear facewidth, and z is the helical gear number of teeth, mnFor helical gear normal plane
Modulus, dzhFor the diameter of axle cooperated with helical gear, β is helical gear helical angle.
When helical gear tip diameter is greater than 160mm and is less than or equal to 500mm, the helical gear volume is calculated
Formula are as follows:
In formula, V is helical gear volume, and b is the helical gear facewidth, mnFor helical gear normal module, z is helical gear
The number of teeth, β are helical gear helical angle, daFor helical gear tip diameter, dzhFor the diameter of axle cooperated with helical gear.
When helical gear tip diameter is greater than 500mm and is less than 1000mm, the helical gear volume calculates public
Formula are as follows:
In formula, V is helical gear volume, and b is the helical gear facewidth, mnFor helical gear normal module, z is helical gear
The number of teeth, β are helical gear helical angle, daFor helical gear tip diameter, han *For helical gear normal plane addendum coefficient, cn *
For helical gear normal plane tip clearance coefficient, dzhFor the diameter of axle cooperated with helical gear.
When helical gear tip diameter is more than or equal to 1000mm, the helical gear volume calculation formula are as follows:
In formula, V is helical gear volume, and b is the helical gear facewidth, mnFor helical gear normal module, z is helical gear
The number of teeth, β are helical gear helical angle, daFor helical gear tip diameter, han *For helical gear normal plane addendum coefficient, cn *
For helical gear normal plane tip clearance coefficient, dzhFor the diameter of axle cooperated with helical gear.
As a kind of possible implementation of the present embodiment, the detailed process of the step S4 are as follows:
The body of helical gear differential gear train is calculated by the volume calculation formula of helical gear differential gear train shown in formula (6)
Product Vc,
Vc=V1+V2+V3+V4(6)
In formula, VcFor the volume of helical gear differential gear train, V1Centered on wheel one volume, V2For the volume of planetary gear one, V3
For the volume of planetary gear two, V4Centered on wheel two volume.
What the technical solution of the embodiment of the present invention can have has the beneficial effect that:
A kind of calculation method of helical gear differential gear train volume of technical solution of the embodiment of the present invention, it is differential according to helical gear
The structure of train obtains the related data of helical gear differential gear train, calculates all helical gear tip diameters in train, calculates
All helical gear volumes in train calculate the volume of helical gear differential gear train.The present invention can fast and convenient calculating helical gear it is poor
The volume of driving wheel system, calculation method is simple, substantially increases the computational accuracy of helical gear differential gear train volume.
Detailed description of the invention
Fig. 1 is a kind of process of the calculation method of helical gear differential gear train volume shown according to an exemplary embodiment
Figure；
Fig. 2 is a kind of transmission principle figure of helical gear differential gear train shown according to an exemplary embodiment；
Symbol indicates in Fig. 2: 1, centre wheel one, 2, planetary gear one, 3, planetary gear two, 4, centre wheel two, H, planet carrier.
Specific embodiment
In order to clarify the technical characteristics of the invention, below by specific embodiment, and its attached drawing is combined, to this hair
It is bright to be described in detail.In order to simplify disclosure of the invention, hereinafter the component of specific examples and setting are described.This
Outside, the present invention can in different examples repeat reference numerals and/or letter.This repetition is for simplified and clear mesh
, the relationship between discussed various embodiments and/or setting itself is not indicated.It should be noted that illustrated in the accompanying drawings
Component is not drawn necessarily to scale.Present invention omits the descriptions to known assemblies and treatment technology and process to avoid unnecessary
The ground limitation present invention.
As shown in Fig. 2, the structure of helical gear differential gear train mainly include centre wheel 1, planetary gear 1, planetary gear 23,
Centre wheel 24 and planet carrier H, centre wheel 1 are engaged with planetary gear 1, and planetary gear 23 is engaged with centre wheel 24, planetary gear one
2 and planetary gear 23 be connected on the same axis, the intermeshing helical gear facewidth is equal, ignores the volume of planet carrier H.
For the structure of above-mentioned helical gear differential gear train, the present invention provides a kind of calculating of helical gear differential gear train volume
Method, as shown in Figure 1, it is the following steps are included: S1, obtains the related data of helical gear differential gear train；S2 calculates institute in train
There is helical gear tip diameter；S3 calculates all helical gear volumes in train；S4 calculates the body of helical gear differential gear train
Product.
A kind of calculation method of helical gear differential gear train volume provided in an embodiment of the present invention, specific implementation process include
Following steps:
Step 1: obtaining the related data of helical gear differential gear train: the number of teeth z of centre wheel one1, planetary gear one number of teeth z2、
The number of teeth z of planetary gear two3, centre wheel two number of teeth z4, centre wheel one normal module mn1, centre wheel two normal module mn2、
The normal pitch pressure angle ɑ of centre wheel onen1, centre wheel two normal pitch pressure angle ɑn2, as shown in table 1；The helixangleβ of centre wheel one1, in
The helixangleβ of heart wheel two2, centre wheel one normal plane tip clearance coefficient cn1 *, centre wheel two normal plane tip clearance coefficient cn2 *, centre wheel one
Normal plane addendum coefficient han1 *, centre wheel two normal plane addendum coefficient han2 *, as shown in table 2；The facewidth b of centre wheel one1、
The facewidth b of centre wheel two2And the diameter of axle d that centre wheel one cooperateszh1And the diameter of axle d that planetary gear one cooperateszh2, match with planetary gear two
The diameter of axle d of conjunctionzh3And the diameter of axle d that centre wheel two cooperateszh4, as shown in table 3.
Table 1
Table 2
Table 3
Step 2: using the number of teeth z of the centre wheel one in step 11, the normal module m of centre wheel onen1, the spiral shell of centre wheel one
Swing angle β1, the normal plane addendum coefficient h of centre wheel onean1 *, pass through helical gear tip diameter calculation formula shown in formula (7)
The tip diameter d of centre wheel one is calculateda1；Use the number of teeth z of the planetary gear one in step 12, the method face mould of centre wheel one
Number mn1, the helixangleβ of centre wheel one1, the normal plane addendum coefficient h of centre wheel onean1 *, by helical gear shown in formula (7)
The tip diameter d of planetary gear one is calculated in tip diameter calculation formulaa2；Use the number of teeth of the planetary gear two in step 1
z3, the normal module m of centre wheel twon2, the helixangleβ of centre wheel two2, the normal plane addendum coefficient h of centre wheel twoan2 *, pass through formula
(7) the tip diameter d of planetary gear two is calculated in helical gear tip diameter calculation formula shown ina3；Using in step 1
Centre wheel two number of teeth z4, the normal module m of centre wheel twon2, the helixangleβ of centre wheel two2, the normal plane tooth top of centre wheel two
High coefficient han2 *, the outside circle of centre wheel two is calculated by helical gear tip diameter calculation formula shown in formula (7)
Diameter da4,
In formula, daFor helical gear tip diameter, mnFor helical gear normal module, z is the helical gear number of teeth, and β is oblique
The helical angle of gear, han *For helical gear normal plane addendum coefficient.
Step 3: using the tip diameter of the centre wheel one calculated in step 2, the number of teeth of the centre wheel one in step 1
z1, the facewidth b of centre wheel one1, the normal module m of centre wheel onen1, the helixangleβ of centre wheel one1, with centre wheel one cooperate axis
Diameter dzh1, the volume V of centre wheel one is calculated by helical gear volume calculation formula shown in formula (8)1,
In formula, V is helical gear volume, and b is the helical gear facewidth, and z is the helical gear number of teeth, mnFor helical gear normal plane
Modulus, dzhFor the diameter of axle cooperated with helical gear, β is helical gear helical angle.
Use the tip diameter d of the planetary gear one calculated in step 2a2, the normal module of the centre wheel one in step 1
mn1, the number of teeth z of planetary gear one2, the facewidth b of centre wheel one1, the helixangleβ of centre wheel one1, the normal plane height of teeth top system of centre wheel one
Number han1 *, the normal plane tip clearance coefficient c of centre wheel onen1 *, with planetary gear one cooperate diameter of axle dzh2, pass through helical teeth shown in formula (9)
The volume V of planetary gear one is calculated in the volume calculation formula of wheel2,
In formula, V is helical gear volume, and b is the helical gear facewidth, mnFor helical gear normal module, z is helical gear
The number of teeth, β are helical gear helical angle, daFor helical gear tip diameter, han *For helical gear normal plane addendum coefficient, cn *
For helical gear normal plane tip clearance coefficient, dzhFor the diameter of axle cooperated with helical gear.
Using the tip diameter of the planetary gear two calculated in step 2, the facewidth b of the centre wheel two in step 12, center
The normal module m of wheel twon2, the number of teeth z of planetary gear two3, the helixangleβ of centre wheel two2, with planetary gear two cooperate diameter of axle dzh3,
The volume V of planetary gear two is calculated by helical gear volume calculation formula shown in formula (10)3,
In formula, V is helical gear volume, and b is the helical gear facewidth, mnFor helical gear normal module, z is helical gear
The number of teeth, β are helical gear helical angle, daFor helical gear tip diameter, dzhFor the diameter of axle cooperated with helical gear.
Using the tip diameter of the centre wheel two calculated in step 2, the normal module m of the centre wheel two in step 1n2,
The number of teeth z of centre wheel two4, the facewidth b of centre wheel two2, the helixangleβ of centre wheel two2, the normal plane addendum coefficient of centre wheel two
han2 *, the normal plane tip clearance coefficient c of centre wheel twon2 *, with centre wheel two cooperate diameter of axle dzh4, pass through helical gear shown in formula (11)
Volume calculation formula the volume V of centre wheel two is calculated4,
In formula, V is helical gear volume, and b is the helical gear facewidth, mnFor helical gear normal module, z is helical gear
The number of teeth, β are helical gear helical angle, daFor helical gear tip diameter, han *For helical gear normal plane addendum coefficient, cn *
For helical gear normal plane tip clearance coefficient, dzhFor the diameter of axle cooperated with helical gear.
Step 4: using the volume V of the centre wheel one calculated in step 31, planetary gear one volume V2, planetary gear two body
Product V3, centre wheel two volume V4, helical teeth is calculated by the volume calculation formula of helical gear differential gear train shown in formula (12)
Take turns the volume V of differential gear trainc,
Vc=V1+V2+V3+V4(12)
In formula, VcFor the volume of helical gear differential gear train, V1Centered on wheel one volume, V2For the volume of planetary gear one, V3
For the volume of planetary gear two, V4Centered on wheel two volume.
The tip diameter d of centre wheel onea1, planetary gear one tip diameter da2, planetary gear two tip diameter
da3, centre wheel two tip diameter da4Calculated result it is as shown in table 4；The volume V of centre wheel one1, planetary gear one volume
V2, planetary gear two volume V3, centre wheel two volume V4, helical gear differential gear train volume VcCalculated result such as 5 institute of table
Show.
Table 4
Table 5
The present invention obtains the related data of helical gear differential gear train according to the structure of helical gear differential gear train, calculates train
In all helical gear tip diameters, calculate train in all helical gear volumes, calculate helical gear differential gear train volume.
The present invention can it is fast and convenient calculate helical gear differential gear train volume, calculation method is simple, substantially increases helical gear differential gear
It is the computational accuracy of volume, beneficial effects of its implementation are also obvious.
The above is the preferred embodiment of the present invention, for those skilled in the art,
Without departing from the principles of the invention, several improvements and modifications can also be made, these improvements and modifications are also regarded as this hair
Bright protection scope.
Claims (7)
1. a kind of calculation method of helical gear differential gear train volume, the structure of the helical gear differential gear train mainly includes centre wheel
One, planetary gear one, planetary gear two, centre wheel two, planet carrier, centre wheel one are engaged with planetary gear one, planetary gear two and centre wheel
Two engagements, planetary gear one and planetary gear two are connected on the same axis, and the intermeshing helical gear facewidth is equal, ignores planet carrier
Volume, characterized in that the calculation method the following steps are included:
S1 obtains the related data of helical gear differential gear train；
S2 calculates all helical gear tip diameters in train；
S3 calculates all helical gear volumes in train；
S4 calculates the volume of helical gear differential gear train.
2. a kind of calculation method of helical gear differential gear train volume as described in claim 1, characterized in that in step sl,
The related data of the helical gear differential gear train includes: the number of teeth z of centre wheel one1, planetary gear one number of teeth z2, planetary gear two
Number of teeth z3, centre wheel two number of teeth z4, centre wheel one normal module mn1, centre wheel two normal module mn2, centre wheel one
Normal pitch pressure angle ɑn1, centre wheel two normal pitch pressure angle ɑn2, centre wheel one helixangleβ1, centre wheel two helixangleβ2, in
The normal plane tip clearance coefficient c of heart wheel onen1 *, centre wheel two normal plane tip clearance coefficient cn2 *, centre wheel one normal plane addendum coefficient
han1 *, centre wheel two normal plane addendum coefficient han2 *, centre wheel one facewidth b1, centre wheel two facewidth b2And centre wheel one
The diameter of axle d of cooperationzh1And the diameter of axle d that planetary gear one cooperateszh2And the diameter of axle d that planetary gear two cooperateszh3And centre wheel two cooperates
Diameter of axle dzh4。
3. a kind of calculation method of helical gear differential gear train volume as described in claim 1, characterized in that
In step s 2, the detailed process of all helical gear tip diameters in train is calculated are as follows:
The tip diameter d of centre wheel one is calculated by helical gear tip diameter calculation formulaa1, planetary gear one tooth
Outside diameter circle da2, planetary gear two tip diameter da3, centre wheel two tip diameter da4。
4. a kind of calculation method of helical gear differential gear train volume as claimed in claim 3, characterized in that
The helical gear tip diameter calculation formula are as follows:
In formula, daFor helical gear tip diameter, mnFor helical gear normal module, z is the helical gear number of teeth, and β is helical gear
Helical angle, han *For helical gear normal plane addendum coefficient.
5. a kind of calculation method of helical gear differential gear train volume as described in claim 1, characterized in that
In step s3, the detailed process of all helical gear volumes in train is calculated are as follows:
According to helical gear tip diameter, helical gear volume calculation formula is reasonably selected, is calculated by helical gear volume
The volume V of centre wheel one is calculated in formula1, planetary gear one volume V2, planetary gear two volume V3, centre wheel two volume
V4。
6. a kind of calculation method of helical gear differential gear train volume as claimed in claim 5, characterized in that
When helical gear tip diameter is less than or equal to 160mm, the helical gear volume calculation formula are as follows:
In formula, V is helical gear volume, and b is the helical gear facewidth, and z is the helical gear number of teeth, mnFor helical gear normal module,
dzhFor the diameter of axle cooperated with helical gear, β is helical gear helical angle.
When helical gear tip diameter is greater than 160mm and is less than or equal to 500mm, the helical gear volume calculation formula
Are as follows:
In formula, V is helical gear volume, and b is the helical gear facewidth, mnFor helical gear normal module, z is the helical gear number of teeth,
β is helical gear helical angle, daFor helical gear tip diameter, dzhFor the diameter of axle cooperated with helical gear.
When helical gear tip diameter is greater than 500mm and is less than 1000mm, the helical gear volume calculation formula are as follows:
In formula, V is helical gear volume, and b is the helical gear facewidth, mnFor helical gear normal module, z is the helical gear number of teeth,
β is helical gear helical angle, daFor helical gear tip diameter, han *For helical gear normal plane addendum coefficient, cn *For helical teeth
The normal plane tip clearance coefficient of wheel, dzhFor the diameter of axle cooperated with helical gear.
When helical gear tip diameter is more than or equal to 1000mm, the helical gear volume calculation formula are as follows:
In formula, V is helical gear volume, and b is the helical gear facewidth, mnFor helical gear normal module, z is the helical gear number of teeth,
β is helical gear helical angle, daFor helical gear tip diameter, han *For helical gear normal plane addendum coefficient, cn *For helical teeth
The normal plane tip clearance coefficient of wheel, dzhFor the diameter of axle cooperated with helical gear.
7. a kind of calculation method of helical gear differential gear train volume as described in claim 1, characterized in that the step S4's
Detailed process are as follows:
The volume V of helical gear differential gear train is calculated by the volume calculation formula of helical gear differential gear train shown in formula (6)c,
Vc=V1+V2+V3+V4 (6)
In formula, VcFor the volume of helical gear differential gear train, V1Centered on wheel one volume, V2For the volume of planetary gear one, V3For row
The volume of star-wheel two, V4Centered on wheel two volume.
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| CN111291310B (en) * | 2020-03-25 | 2023-05-09 | 济南大学 | Calculation method considering tooth surface friction internal engagement bevel gear pair engagement efficiency |
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