Background technique
Present widely used hydraulic gear pump, its gear mostly adopts the involute cylindrical gear of common standard, and in the design of hydraulic gear pump, discharge capacity is calculated and is generally all adopted formula q=2 π zm
2B*10
-3Carry out the parameter of discharge capacity calculating, in the formula with definite gear
Q-pump delivery unit/ml/r
The number of teeth of Z-gear
The mm of modulus unit of m-gear
The cm of width unit of B-gear
As can be known, the first power direct ratio of discharge capacity q and number of teeth z with square being directly proportional of modulus, is directly proportional with the gear width from above-mentioned formula.When need increase discharge capacity, if increase the number of teeth gear pump volume is increased, if increase the gear width, the volume of pump is increased, also can increase the gear pump bearing load, influence the gear pump life-span.
The pressure angle of national Specification involute cylindrical gear is
20 °, addendum coefficient ha=1, gear do not produce the minimum number of teeth Zmin=2 * 1/sin of undercut
220 °=17.The theoretical center that two gears are meshed, increases modulus m and the number of teeth z gear pump volume is increased in order to reach big discharge capacity apart from A=m * z, and the mounting teeth wheel pump need be than large space, and the space young pathbreaker can't use.
The present gear pump that uses, the shortcoming that the pulsation of ubiquity instantaneous flow is excessive has reduced the stationarity and the uniformity of element work in the hydraulic system, even can produce pressure pulse, thereby makes whole system produce vibration, and very strong noise pollution takes place.
Description of drawings
Fig. 1 is a standard cylinder gear outer gearing schematic representation;
Fig. 2 is the APPROXIMATE DISTRIBUTION curve of circumference of gear pressure.
Among the figure: d, standard pitch diameter, ha, addendum, hf, dedendum of the tooth, h, whole depth, da, tip diameter, d, standard pitch circle, df, root diameter, a, centre distance, α, top circle pressure angle, Fty, engaging force be at the axial component of y, Rb, rolling circle radius, Ra, Outside radius, R, gear compound graduation circle radius.
Embodiment
One, gear parameter and calculating case:
1, tooth profile parameter
(1) tooth number Z=10
(2) modulus m=5.75
(3) profile of tooth pressure angle α=30 °
2, design calculation formula
(1) theoretical center is apart from a=mz=57.5
(2) practical center is according to a '=55
(3) standard pitch diameter d=mz=57.5
(4) base circle diameter (BCD) db=mzcos α=49.8
(5) meshingangle ' by formula cos α '=a/a ' * cos α
α '=arcc (a/a ' * cos α)=arccos57.5/55*cos30 °=25.12 °
(6) modification coefficient x=z (ivn α '-ivn α)/2tg α=-0.202
(7) centre distance Separating factor y=(a '-a)/m=(55-57.5)/5.75=-0.435
(8) addendum coefficient of alteration Δ y=(x1+x2)-y=-0.404+0.435=0.031
(9) addendum ha=(ha*+x-Δ y) m=(1-0.202-0.031) * 5.75=4.41
(10) dedendum of the tooth hf=(ha*+cn*-x) m gets cn*=0.17
hf=(1+0.17+0.202)×5.75=7.89
(11) tip diameter da=d+2ha=57.5+4.441*2=66.32 gets 66.5
(12) root diameter df=d-2hf=57.5-7.89*2=41.72
(13) top circle pressure angle α is a=arccosdb/da=arccos49.8/66.5=41.5 °
(14) contact ratio ε=1/2 π * [2z (tg α a-tg α ')]=1.32
(15) K gets k=2 for overstating number of teeth K=30z/180+0.5=2.16 in base tangent length w=mzcos α [(k-0.5) π+zinv α]+2xmsin α formula
Then w=5.75*10*cos30 ° [(2-0.5) π+10inv30 °]-2*0.202*5.75sin30 °=24.998
Two, adopt the embodiment of large pressure angle negative addendum modification profile of tooth:
1, reduced the radial force that bearing bore:
Shown in Figure 2 as Fig. 1, act on the radial force F on the driven gear shaft
2Be to form along the radial force Fp of circumference of gear fluid pressure generation and the radial force Ft that is produced by gear engagement, wherein the component of radial force FT on the y axle that is produced by gear engagement is
Fty=BΔP/Rb*(Ra-R)cosα
In the formula: Fty: engaging force is at the axial component of y
Rb: rolling circle radius
Ra: Outside radius
R: gear compound graduation circle radius
α: pressure angle
By the APPROXIMATE DISTRIBUTION plotted curve of following formula and circumference of gear pressure as can be seen: because pressure angle α increases, driven gear reduces in the radial force that the y axle direction is born, thereby has alleviated bearing load, has reduced mechanical loss.Help the mechanical efficiency of gear pump and the raising in working life.
2, avoided under cut:
By Der Grundsatz der Maschinen as can be known: the minimum teeth number that the involute cylindrical gear work in-process does not produce undercut is:
Zmin=2ha*/Sin
2α
Wherein: Zmin: involute cylindrical gear does not produce the minimum teeth number of undercut
Ha*: addendum coefficient national Specification: ha*=1
α: pressure angle national Specification: α=20 °
By following formula as can be known: when addendum coefficient ha*=J α=20 °:
Do not produce the minimum number of teeth Zmin=2*1/Sin of undercut
220 °=17
And gear pump is because the restriction of volume can not be increased to 17 with the number of teeth.After we have adopted the tooth profile parameter of Z=10, m=5.75, α=30 °, do not produce the minimum number of teeth Zmin=2*1/Sin of undercut
230 °=8.Although we have taked negative addendum modification, by the minimum modification coefficient formula X 〉=ha*-zSin that does not produce undercut
2α/2=-0.25 as can be known, modification coefficient X=-0.202>-0.25, proof at Z=10, can not produce undercut under the condition of correction factor X=-0.202 behind the pressure angle of employing α=30 ° thus, promptly guarantees the intensity of the gear teeth, and has reduced the volume of gear pump.
3, reduce the gear pump factor of non-uniform flow:
Hydraulic gear pump has advantages such as volume simple in structure is little, in light weight, the life-span is long, but also has the shortcoming of moment flow pulsation.If the flow pulsation conference reduces the stationarity and the uniformity of element work in the hydraulic system, even can produce pressure pulsation, thereby make whole system produce vibration, very strong noise takes place.
The gear pump factor of non-uniform flow is:
σQ=3π
2Cos
2α/12(Z+1)π
2Cos
2α
In the formula: σ Q: factor of non-uniform flow
Z: the gear number of teeth
α: pressure angle
As can be seen from the above equation: adopt the large pressure angle profile of tooth can reduce the gear pump factor of non-uniform flow, thereby improve the stationarity of system element work, reduce the load of bearing, the integrated quality and the working life of improving gear pump.
In sum, adopt large pressure angle negative addendum modification profile of tooth can dwindle the volume of gear pump, alleviate bearing load, reduce factor of non-uniform flow and noise, thereby improve the mechanical efficiency and the working life of gear pump.The gear pump of recommending this gear parameter of use to manufacture and design, its important technological parameters:
Discharge capacity: q=20-110ml/r
Rated pressure: P=20MPa
Maximum pressure: P
Max=25MPa
Rated speed: n=2000r/min
Maximum speed n
Max=2500r/min
Volumetric efficiency: η v 〉=92%
Total efficiency: η always 〉=83%
Noise: dB (A)≤85