CN108561526A - A kind of computational methods of 2K-H types Closed Epicyclic Gear Train transmission efficiency - Google Patents
A kind of computational methods of 2K-H types Closed Epicyclic Gear Train transmission efficiency Download PDFInfo
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- CN108561526A CN108561526A CN201810408114.8A CN201810408114A CN108561526A CN 108561526 A CN108561526 A CN 108561526A CN 201810408114 A CN201810408114 A CN 201810408114A CN 108561526 A CN108561526 A CN 108561526A
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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
- F16H48/00—Differential gearings
- F16H48/06—Differential gearings with gears having orbital motion
- F16H48/10—Differential gearings with gears having orbital motion with orbital spur gears
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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
- F16H35/00—Gearings or mechanisms with other special functional features
- F16H35/16—Mechanisms for movements or movement relations conforming to mathematical formulae
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Abstract
The invention discloses a kind of computational methods of 2K H-types Closed Epicyclic Gear Train transmission efficiency, it includes the following steps：S1 obtains the related data of 2K H-type Closed Epicyclic Gear Trains；S2 draws the power flow chart of 2K H-types Closed Epicyclic Gear Train and change train；S3 calculates the shunting power of 2K H-types Closed Epicyclic Gear Train and change train when not considering the loss of gear pair meshing power；S4 calculates the power loss that power flow passes through gear pair；S5 calculates 2K H-type Closed Epicyclic Gear Train transmission efficiencies.The present invention can fast and convenient calculating 2K H-type Closed Epicyclic Gear Train transmission efficiencies, computational methods are simple, substantially increase the efficiency and accuracy of calculating.
Description
Technical field
The present invention relates to gear wheel-train art drive systems field, specifically a kind of 2K-H types Closed Epicyclic Gear Train
The computational methods of transmission efficiency.
Background technology
For Closed Epicyclic Gear Train because its ratio coverage is wide, transmission power is big, compact-sized, wide in modern mechanical transmission
General application.Engineering in practice it is most widely used be by 2K-H type differential gear trains based on Closed Epicyclic Gear Train.It improves
2K-H type Closed Epicyclic Gear Train transmission efficiencies can promote the transmission performance of product.Therefore, carry out the closed turnover of 2K-H types
Train transmission efficiency research has important engineering significance.
Two basic building block fixed shaft gear trains of 3 basic building blocks in 2K-H type differential gear trains or planetary gear train are closed
Come, so that the degree of freedom of train is reduced to 1, which is known as 2K-H type Closed Epicyclic Gear Trains.2K-H type Closed Epicyclic Gear Trains pass
The height of efficiency of movement is directly related to device performance and energy consumption.
Although the computational methods of train transmission efficiency are more, for 2K-H type Closed Epicyclic Gear Train transmission efficiencies
The less and current method of computational methods is relatively complicated and complicated.
Invention content
In view of the deficiencies of the prior art, the present invention proposes a kind of calculating of 2K-H types Closed Epicyclic Gear Train transmission efficiency
Method can quickly and easily calculate 2K-H type Closed Epicyclic Gear Train transmission efficiencies.
The present invention solves its technical problem and adopts the technical scheme that：
A kind of computational methods of 2K-H types Closed Epicyclic Gear Train transmission efficiency provided in an embodiment of the present invention, the 2K-H
The structure of type Closed Epicyclic Gear Train includes rack, differential gear train and fixed shaft gear train, and the differential gear train includes 1 centre wheel, 2
A planetary gear, 1 central wheel of internal teeth and 1 planet carrier, the fixed shaft gear train is including in 1 pinion gear, 1 gear wheel and 1
Gear, 2 planetary gears are connected on the same axis, and central wheel of internal teeth is connected on the same axis with pinion gear, planet carrier and internal gear
It is fixed together, the computational methods include the following steps：
S1 obtains the related data of 2K-H type Closed Epicyclic Gear Trains；
S2 draws the power flow chart of 2K-H types Closed Epicyclic Gear Train and change train；
S3 calculates the shunting of 2K-H types Closed Epicyclic Gear Train and change train when not considering the loss of gear pair meshing power
Power；
S4 calculates the power loss that power flow passes through gear pair；
S5 calculates 2K-H type Closed Epicyclic Gear Train transmission efficiencies.
As a kind of possible realization method of the present embodiment, in step sl, the 2K-H types Closed Epicyclic Gear Train
Related data includes：Centre wheel tooth number Z1, one tooth number Z of planetary gear2, two tooth number Z of planetary gear3, central wheel of internal teeth tooth number Z4, internal tooth
Tooth number Z5, pinion gear tooth number Z6, the meshing efficiency η of gear pair that forms of input power P, centre wheel and planetary gear one1, planet
The meshing efficiency η of wheel two and the gear pair of central wheel of internal teeth composition2, pinion gear and gear wheel composition gear pair meshing efficiency
η3, gear wheel and internal gear composition gear pair meshing efficiency η4。
As a kind of possible realization method of the present embodiment, the detailed process of the step S2 includes the following steps：
S21, it is opposite with planet carrier angular speed direction equal in magnitude attached plus one to 2K-H type Closed Epicyclic Gear Trains
Rotation is added to obtain change train, the rack in former 2K-H types Closed Epicyclic Gear Train becomes the movable part of change train, former 2K-
Planet carrier in H-type Closed Epicyclic Gear Train becomes the rack of change train；
S22 draws the power flow chart of 2K-H type Closed Epicyclic Gear Trains：Component in 2K-H type Closed Epicyclic Gear Trains is used
Arabic numerals expression, input power △ symbolic indications, output power ◎ symbolic indications, gear pair are used
WithSymbolic indication, the power flow between rack and the component being connect by kinematic pair with rack are represented by dashed line, and performance number is
0, the power flow direction between other components indicates that power flow valuve is labeled on solid line or dotted line with solid line with the arrow,
Input power passes through centre wheel, by the gear pair that centre wheel and planetary gear one form, by planetary gear one (planetary gear two),
Planetary gear one (planetary gear two) punishment stream, the gear pair that power flow is formed by planetary gear two with central wheel of internal teeth all the way pass through
Central wheel of internal teeth (pinion gear), by the gear pair of pinion gear and gear wheel composition, by gear wheel, another way power flow is passed through
Planet carrier (internal gear), by the gear pair of internal gear and gear wheel composition, by gear wheel, by the two-way power of gear wheel
Confluence exports 2K-H type Closed Epicyclic Gear Trains, ultimately forms the power flow of 2K-H type Closed Epicyclic Gear Trains；
S23 draws the power flow chart of change train：Component in change train indicates with Arabic numerals, input power
With △ symbolic indications, output power ◎ symbolic indications, gear pair is usedWithSymbolic indication, power flow direction
It is indicated with solid line with the arrow, the power flow between rack and the component being connect by kinematic pair with rack is represented by dashed line, work(
Rate value is 0, and the power flow direction between other components indicates that power flow valuve carries out on solid line or dotted line with solid line with the arrow
Mark, input power shunting, power flow is by the movable part of change train, output change train, another way power flow all the way
By centre wheel, by the gear pair that centre wheel and planetary gear one form, by planetary gear one (planetary gear two), by planetary gear
Two gear pairs formed with central wheel of internal teeth, by central wheel of internal teeth (pinion gear), by the tooth of pinion gear and gear wheel composition
Wheel set is punished in gear wheel and is flowed by gear wheel, and the gear pair that power flow is formed by internal gear with gear wheel all the way is another
Road power output change train, ultimately forms the power flow of change train.
The realization method alternatively possible as the present embodiment draws 2K-H type Closed Epicyclic Gear Trains in step s3
The detailed process of power flow chart is：
Component in 2K-H type Closed Epicyclic Gear Trains indicates that input power △ symbolic indications are defeated with Arabic numerals
Go out power ◎ symbolic indications, gear pair is usedWithSymbolic indication, rack and is connected with rack by kinematic pair
Power flow between the component connect is represented by dashed line, performance number 0, the reality with the arrow of the power flow direction between other components
Line indicates that power flow valuve is labeled on solid line or dotted line, and input power passes through centre wheel, by centre wheel and planetary gear one
The gear pair of composition is punished in planetary gear one (planetary gear two) and is flowed by planetary gear one (planetary gear two), and power flow is passed through all the way
The gear pair of planetary gear two and central wheel of internal teeth composition, by central wheel of internal teeth (pinion gear), by pinion gear and gear wheel group
At gear pair, by gear wheel, another way power flow passes through planet carrier (internal gear), by internal gear and gear wheel composition
Gear pair exports 2K-H type Closed Epicyclic Gear Trains, ultimately forms by gear wheel by the two-way power flow concentration of gear wheel
The power flow of 2K-H type Closed Epicyclic Gear Trains.
The realization method alternatively possible as the present embodiment draws the tool of change train power flow chart in step s3
Body process is：
To 2K-H type Closed Epicyclic Gear Trains plus one additional turn opposite with planet carrier angular speed direction equal in magnitude
Dynamic to obtain change train, the rack in former 2K-H types Closed Epicyclic Gear Train becomes the movable part of change train, former 2K-H types
Planet carrier in Closed Epicyclic Gear Train becomes the rack of change train；
Component in change train indicates that input power △ symbolic indications, output power is accorded with ◎ with Arabic numerals
Number indicate, gear pair useWithSymbolic indication, power flow direction indicate with solid line with the arrow, rack and with
Power flow between the component that rack is connected by kinematic pair is represented by dashed line, performance number 0, the power flow between other components
Direction indicates that power flow valuve is labeled on solid line or dotted line with solid line with the arrow, input power shunting, all the way power flow
By the movable part of change train, change train is exported, another way power flow passes through centre wheel, by centre wheel and planetary gear
The gear pair of one composition, by planetary gear one (planetary gear two), by the gear pair of planetary gear two and central wheel of internal teeth composition, warp
Central wheel of internal teeth (pinion gear) is crossed, is punished in gear wheel by gear wheel by the gear pair of pinion gear and gear wheel composition
Stream, the gear pair that power flow is formed by internal gear with gear wheel all the way, another way power output change train ultimately form and turn
Change the power flow of train.
As a kind of possible realization method of the present embodiment, the detailed process of the step S3 includes the following steps：
S31, the shunting power of 2K-H type Closed Epicyclic Gear Trains calculates when by not considering the loss of gear pair meshing power
The shunting power V of 2K-H type Closed Epicyclic Gear Trains when not considering the loss of gear pair meshing power is calculated in formula；
S32, the shunting power calculation formula of change train is calculated when by not considering the loss of gear pair meshing power
The shunting power U of change train when the loss of gear pair meshing power is not considered.
It is described not consider that 2K-H types seal when the loss of gear pair meshing power as a kind of possible realization method of the present embodiment
The shunting power calculation formula of enclosed cyclic train is：
In formula, V is the shunting power of 2K-H type Closed Epicyclic Gear Trains when not considering the loss of gear pair meshing power, and P is
Input power, Z1Centered on tooth number, Z2For one number of teeth of planetary gear, Z3Two number of teeth of planetary gear, Z4For the central wheel of internal teeth number of teeth, Z5For
The internal gear number of teeth, Z6For the pinion gear number of teeth；
It is described not consider that the shunting power calculation formula of change train when the loss of gear pair meshing power is：
In formula, U is the shunting power of change train when not considering the loss of gear pair meshing power, Z5For the internal gear number of teeth, Z6
For the pinion gear number of teeth, V is the shunting power of 2K-H type Closed Epicyclic Gear Trains when not considering the loss of gear pair meshing power, and P is
Input power.
As a kind of possible realization method of the present embodiment, the detailed process of the step S4 includes the following steps：
S41 is calculated power flow by first order gear pair power loss calculation formula and passes through centre wheel and planetary gear
The power loss L of the gear pair of one composition1；
S42 is calculated power flow by second level gear pair power loss calculation formula and passes through planetary gear two and internal tooth
The power loss L of the gear pair of centre wheel composition2；
S43 is calculated power flow by third level gear pair power loss calculation formula and passes through pinion gear and gear wheel
The power loss L of the gear pair of composition3；
S44 is calculated power flow by fourth stage gear pair power loss calculation formula and passes through internal gear and gear wheel
The power loss L of the gear pair of composition4。
As a kind of possible realization method of the present embodiment, the first order gear pair power loss calculation formula is：
L1=(P-U) (1- η1) (3)
In formula, L1For the power loss for the gear pair that power flow is formed by centre wheel with planetary gear one, P is input work
Rate, U are the shunting power of change train when not considering the loss of gear pair meshing power, η1Centered on wheel with planetary gear one form
The meshing efficiency of gear pair；
The second level gear pair power loss calculation formula is：
L2=(P-U-L1)(1-η2) (4)
In formula, L2It is power loss of the power flow by planetary gear two and the gear pair of central wheel of internal teeth composition, P is to input
Power, U are the shunting power of change train when not considering the loss of gear pair meshing power, L1Pass through centre wheel and row for power flow
The power loss for the gear pair that star-wheel one forms, η2For the meshing efficiency of planetary gear two and the gear pair of central wheel of internal teeth composition；
The third level gear pair power loss calculation formula is：
L3=(P-V-L1-L2)(1-η3) (5)
In formula, L3Power loss for power flow by pinion gear and the gear pair of gear wheel composition, P is input power, V
The shunting power of 2K-H type Closed Epicyclic Gear Trains, L when not consider the loss of gear pair meshing power1It is power flow by center
The power loss for the gear pair that wheel is formed with planetary gear one, L2It is the tooth that power flow is formed by planetary gear two with central wheel of internal teeth
The power loss of wheel set, η3For the meshing efficiency of pinion gear and the gear pair of gear wheel composition；
The fourth stage gear pair power loss calculation formula is：
L4=V (1- η1) (6)
In formula, L4It is the power loss for the gear pair that power flow is formed by internal gear with gear wheel, V is not consider gear
The shunting power of 2K-H type Closed Epicyclic Gear Trains, η when secondary meshing power loss4For the gear pair of internal gear and gear wheel composition
Meshing efficiency.
As a kind of possible realization method of the present embodiment, the detailed process of the step S5 is：
The closing of 2K-H types is calculated by 2K-H types Closed Epicyclic Gear Train transmission efficiency calculation formula shown in formula (7)
Formula epicyclic gearing efficiency eta,
In formula, η is 2K-H type Closed Epicyclic Gear Train transmission efficiencies, and P is input power, L1Pass through centre wheel for power flow
The power loss of the gear pair formed with planetary gear one, L2It is the gear that power flow is formed by planetary gear two with central wheel of internal teeth
Secondary power loss, L3Power loss for power flow by pinion gear and the gear pair of gear wheel composition, L4Pass through for power flow
The power loss of internal gear and the gear pair of gear wheel composition.
The technical solution of the embodiment of the present invention can have the advantage that as follows：
A kind of computational methods of 2K-H types Closed Epicyclic Gear Train transmission efficiency of technical solution of the embodiment of the present invention, according to
The structure of 2K-H type Closed Epicyclic Gear Trains draws the power flow chart of 2K-H types Closed Epicyclic Gear Train and change train, calculates
The shunting power for not considering 2K-H types Closed Epicyclic Gear Train and change train when the loss of gear pair meshing power, calculates power flow
By the power loss of gear pair, 2K-H type Closed Epicyclic Gear Train transmission efficiencies are calculated.The present invention can fast and convenient calculating 2K-
H-type Closed Epicyclic Gear Train transmission efficiency, computational methods are simple, substantially increase the efficiency and accuracy of calculating.
Description of the drawings
Fig. 1 is a kind of calculating side of 2K-H types Closed Epicyclic Gear Train transmission efficiency shown according to an exemplary embodiment
The flow chart of method；
Fig. 2 is a kind of transmission principle figure of 2K-H types Closed Epicyclic Gear Train shown according to an exemplary embodiment；
Fig. 3 is a kind of signal of the power flow chart of 2K-H types Closed Epicyclic Gear Train shown according to an exemplary embodiment
Figure；
Fig. 4 is a kind of schematic diagram of the power flow chart of change train shown according to an exemplary embodiment；
Symbolic indication in Fig. 2 and Fig. 3：1, rack, 2, centre wheel, 3, planetary gear one, 4, planetary gear two, 5, internal tooth center
Wheel, 6, planet carrier, 7, internal gear, 8, gear wheel, 9, pinion gear；
Symbolic indication in Fig. 4：1 ', change train movable part, 2, centre wheel, 3, planetary gear one, 4, planetary gear two, 5, interior
Tooth centre wheel, 6 ', change train rack, 7, internal gear, 8, gear wheel, 9, pinion gear.
Specific implementation mode
In order to clarify the technical characteristics of the invention, below by specific implementation mode, and its attached drawing is combined, to this hair
It is bright to be described in detail.Following disclosure provides many different embodiments or example is used for realizing the different knots of the present invention
Structure.In order to simplify disclosure of the invention, hereinafter the component of specific examples and setting are described.In addition, the present invention can be with
Repeat reference numerals and/or letter in different examples.This repetition is that for purposes of simplicity and clarity, itself is not indicated
Relationship between various embodiments and/or setting is discussed.It should be noted that illustrated component is not necessarily to scale in the accompanying drawings
It draws.Present invention omits the descriptions to known assemblies and treatment technology and process to avoid the present invention is unnecessarily limiting.
As shown in Fig. 2, the structure of 2K-H type Closed Epicyclic Gear Trains includes rack 1, differential gear train and fixed shaft gear train, it is described
Differential gear train includes 1 centre wheel 2, planetary gear 1,24,1 central wheel of internal teeth 5 of planetary gear and 1 planet carrier 6, described fixed
Axis train includes that 1 pinion gear, 9,1 gear wheels 8 and 1 internal gear 7, planetary gear 1 and planetary gear 24 are connected in same axis
On, central wheel of internal teeth 5 is connected on the same axis with pinion gear 9, and planet carrier 6 is fixed together with internal gear 7.For above-mentioned 2K-H
The structure of type Closed Epicyclic Gear Train, the present invention provides a kind of calculating sides of 2K-H types Closed Epicyclic Gear Train transmission efficiency
Method, as shown in Figure 1, it includes the following steps：S1 obtains the related data of 2K-H type Closed Epicyclic Gear Trains；S2 draws 2K-H
The power flow chart of type Closed Epicyclic Gear Train and change train；S3, calculating do not consider 2K-H types when the loss of gear pair meshing power
The shunting power of Closed Epicyclic Gear Train and change train；S4 calculates the power loss that power flow passes through gear pair；S5 is calculated
2K-H type Closed Epicyclic Gear Train transmission efficiencies.
Embodiment 1
A kind of computational methods of 2K-H types Closed Epicyclic Gear Train transmission efficiency provided in an embodiment of the present invention, it is specific real
Existing process includes the following steps：
Step 1, the related data of 2K-H type Closed Epicyclic Gear Trains is obtained：Centre wheel tooth number Z1, one tooth number Z of planetary gear2、
Two tooth number Z of planetary gear3, central wheel of internal teeth tooth number Z4, internal gear tooth number Z5, pinion gear tooth number Z6, input power P, as shown in table 1；
The meshing efficiency η for the gear pair that centre wheel is formed with planetary gear one1, planetary gear two gear pair that is formed with central wheel of internal teeth nibbles
Close efficiency eta2, pinion gear and gear wheel composition gear pair meshing efficiency η3, gear wheel and internal gear composition gear pair nibble
Close efficiency eta4, as shown in table 2.
Table 1
Table 2
Step 2：It is opposite with planet carrier angular speed direction equal in magnitude plus one to 2K-H type Closed Epicyclic Gear Trains
Additional rotation obtains change train, and the rack in former 2K-H types Closed Epicyclic Gear Train becomes the movable part of change train, former
Planet carrier in 2K-H type Closed Epicyclic Gear Trains becomes the rack of change train.
Step 3：Draw the power flow chart of 2K-H type Closed Epicyclic Gear Trains, the component in 2K-H type Closed Epicyclic Gear Trains
It is indicated with Arabic numerals, input power △ symbolic indications, output power ◎ symbolic indications, gear pair is used
WithSymbolic indication, the power flow between rack and the component being connect by kinematic pair with rack are represented by dashed line, and performance number is
0, the power flow direction between other components indicates that power flow valuve is labeled on solid line or dotted line with solid line with the arrow,
Input power passes through centre wheel, by the gear pair that centre wheel and planetary gear one form, by planetary gear one (planetary gear two),
Planetary gear one (planetary gear two) punishment stream, the gear pair that power flow is formed by planetary gear two with central wheel of internal teeth all the way pass through
Central wheel of internal teeth (pinion gear), by the gear pair of pinion gear and gear wheel composition, by gear wheel, another way power flow is passed through
Planet carrier (internal gear), by the gear pair of internal gear and gear wheel composition, by gear wheel, by the two-way power of gear wheel
Confluence exports 2K-H type Closed Epicyclic Gear Trains, ultimately forms the power flow of 2K-H type Closed Epicyclic Gear Trains, the closing of 2K-H types
The power flow chart of formula cyclic train is as shown in figure 3, symbolic indication in Fig. 3：1, rack, 2, centre wheel, 3, planetary gear one, 4, planet
Wheel two, 5, central wheel of internal teeth, 6, planet carrier, 7, internal gear, 8, gear wheel, 9, pinion gear.
Step 4：Change train power flow chart is drawn, the component in change train is indicated with Arabic numerals, input power
With △ symbolic indications, output power ◎ symbolic indications, gear pair is usedWithSymbolic indication, power flow direction
It is indicated with solid line with the arrow, the power flow between rack and the component being connect by kinematic pair with rack is represented by dashed line, work(
Rate value is 0, and the power flow direction between other components indicates that power flow valuve carries out on solid line or dotted line with solid line with the arrow
Mark, input power shunting, power flow is by the movable part of change train, output change train, another way power flow all the way
By centre wheel, by the gear pair that centre wheel and planetary gear one form, by planetary gear one (planetary gear two), by planetary gear
Two gear pairs formed with central wheel of internal teeth, by central wheel of internal teeth (pinion gear), by the tooth of pinion gear and gear wheel composition
Wheel set is punished in gear wheel and is flowed by gear wheel, and the gear pair that power flow is formed by internal gear with gear wheel all the way is another
Road power output change train ultimately forms the power flow of change train, and the power flow chart of change train is as shown in figure 4, in Fig. 4
Symbolic indication：1 ', change train movable part, 2, centre wheel, 3, planetary gear one, 4, planetary gear two, 5, central wheel of internal teeth, 6 ',
Change train rack, 7, internal gear, 8, gear wheel, 9, pinion gear.
Step 5：Use the input power P in step 1, centre wheel tooth number Z1, one tooth number Z of planetary gear2, two number of teeth of planetary gear
Z3, central wheel of internal teeth tooth number Z4, internal gear tooth number Z5, pinion gear tooth number Z6, by not considering that gear pair engages shown in formula (1)
The shunting power calculation formula of 2K-H types Closed Epicyclic Gear Train, is calculated and does not consider gear pair meshing power when power loss
The shunting power V of 2K-H types Closed Epicyclic Gear Train when loss,
In formula, V is the shunting power of 2K-H type Closed Epicyclic Gear Trains when not considering the loss of gear pair meshing power, and P is
Input power, Z1Centered on tooth number, Z2For one number of teeth of planetary gear, Z3Two number of teeth of planetary gear, Z4For the central wheel of internal teeth number of teeth, Z5For
The internal gear number of teeth, Z6For the pinion gear number of teeth.
Step 6：Use the input power P in step 1, internal gear tooth number Z5, pinion gear tooth number Z6, calculate not in step 5
The shunting power V for considering 2K-H type Closed Epicyclic Gear Trains when the loss of gear pair meshing power, by not considering shown in formula (2)
The shunting power calculation formula of change train when gear pair meshing power loses is calculated and does not consider that gear pair meshing power damages
The shunting power U of change train when mistake,
In formula, U is the shunting power of change train when not considering the loss of gear pair meshing power, Z5For the internal gear number of teeth, Z6
For the pinion gear number of teeth, V is the shunting power of 2K-H type Closed Epicyclic Gear Trains when not considering the loss of gear pair meshing power, and P is
Input power.
Step 7：Use the meshing efficiency for the gear pair that input power P, centre wheel and the planetary gear one in step 1 form
η1, what is calculated does not consider the shunting power U of change train when the loss of gear pair meshing power in step 6, shown in formula (3)
Power flow is calculated by centre wheel and the gear pair of the composition of planetary gear one in first order gear pair power loss calculation formula
Power loss L1,
L1=(P-U) (1- η1) (3)
In formula, L1For the power loss for the gear pair that power flow is formed by centre wheel with planetary gear one, P is input work
Rate, U are the shunting power of change train when not considering the loss of gear pair meshing power, η1Centered on wheel with planetary gear one form
The meshing efficiency of gear pair.
Step 8：The gear pair formed using input power P, planetary gear two and the central wheel of internal teeth in step 1 engages effect
Rate η2, calculate in step 6 do not consider to calculate in the shunting power U of change train, step 7 when the loss of gear pair meshing power
The power loss L for the gear pair that power flow is formed by centre wheel with planetary gear one1, pass through second level gear shown in formula (4)
Secondary power loss calculation formula is calculated power flow and is damaged by planetary gear two and the power of the gear pair of central wheel of internal teeth composition
Lose L2,
L2=(P-U-L1)(1-η2) (4)
In formula, L2It is power loss of the power flow by planetary gear two and the gear pair of central wheel of internal teeth composition, P is to input
Power, U are the shunting power of change train when not considering the loss of gear pair meshing power, L1Pass through centre wheel and row for power flow
The power loss for the gear pair that star-wheel one forms, η2For the meshing efficiency of planetary gear two and the gear pair of central wheel of internal teeth composition.
Step 9：Using in step 1 input power P, pinion gear and gear wheel composition gear pair meshing efficiency η 3,
What is calculated in step 5 does not consider the shunting power V of 2K-H type Closed Epicyclic Gear Trains, step 7 when the loss of gear pair meshing power
The power loss L for the gear pair that the power flow of middle calculating is formed by centre wheel with planetary gear one1, the power that calculates in step 8
The power loss L for the gear pair that stream is formed by planetary gear two with central wheel of internal teeth2, pass through third level gear shown in formula (5)
Power loss L of the power flow by pinion gear and the gear pair of gear wheel composition is calculated in secondary power loss calculation formula3,
L3=(P-V-L1-L2)(1-η3) (5)
In formula, L3Power loss for power flow by pinion gear and the gear pair of gear wheel composition, P is input power, V
The shunting power of 2K-H type Closed Epicyclic Gear Trains, L when not consider the loss of gear pair meshing power1It is power flow by center
The power loss for the gear pair that wheel is formed with planetary gear one, L2It is the tooth that power flow is formed by planetary gear two with central wheel of internal teeth
The power loss of wheel set, η3For the meshing efficiency of pinion gear and the gear pair of gear wheel composition.
Step 10：Use the meshing efficiency η of internal gear and the gear pair of gear wheel composition in step 14, step 5 falls into a trap
That calculates does not consider the shunting power V of 2K-H type Closed Epicyclic Gear Trains when the loss of gear pair meshing power, shown in formula (6)
Work(of the power flow by internal gear and the gear pair of gear wheel composition is calculated in fourth stage gear pair power loss calculation formula
Rate loses L4,
L4=V (1- η4) (6)
In formula, L4It is the power loss for the gear pair that power flow is formed by internal gear with gear wheel, V is not consider gear
The shunting power of 2K-H type Closed Epicyclic Gear Trains, η when secondary meshing power loss4For the gear pair of internal gear and gear wheel composition
Meshing efficiency.
Step 11：Pass through one group of centre wheel and planetary gear using the power flow calculated in input power P, step 7 in step 1
At gear pair power loss L1, the power flow that calculates in step 8 by planetary gear two and central wheel of internal teeth composition gear
Secondary power loss L2, the power loss L of the power flow that calculates in step 9 by pinion gear and the gear pair of gear wheel composition3、
The power loss L for the gear pair that the power flow calculated in step 10 is formed by internal gear with gear wheel4, by shown in formula (7)
2K-H type Closed Epicyclic Gear Train transmission efficiency calculation formula, 2K-H type Closed Epicyclic Gear Train transmission efficiency η are calculated,
In formula, η is 2K-H type Closed Epicyclic Gear Train transmission efficiencies, and P is input power, L1Pass through centre wheel for power flow
The power loss of the gear pair formed with planetary gear one, L2It is the gear that power flow is formed by planetary gear two with central wheel of internal teeth
Secondary power loss, L3Power loss for power flow by pinion gear and the gear pair of gear wheel composition, L4Pass through for power flow
The power loss of internal gear and the gear pair of gear wheel composition.
The shunting power V of 2K-H type Closed Epicyclic Gear Trains when the loss of gear pair meshing power is not considered, does not consider gear
The shunting power U of change train, power flow are by centre wheel and the gear pair of the composition of planetary gear one when secondary meshing power loss
Power loss L1, power flow by the gear pair of planetary gear two and central wheel of internal teeth composition power loss L2, power flow is through too small
The power loss L of gear and the gear pair of gear wheel composition3, power flow by the gear pair of internal gear and gear wheel composition work(
Rate loses L4, the result of calculation of 2K-H type Closed Epicyclic Gear Train transmission efficiencies η it is as shown in table 3.
Table 3
The present embodiment draws 2K-H types Closed Epicyclic Gear Train and conversion according to the structure of 2K-H type Closed Epicyclic Gear Trains
The power flow chart of train calculates 2K-H types Closed Epicyclic Gear Trains and change train when not considering the loss of gear pair meshing power
Shunting power calculates the power loss that power flow passes through gear pair, final to obtain 2K-H type Closed Epicyclic Gear Train transmission efficiencies.
The present invention can fast and convenient calculating 2K-H type Closed Epicyclic Gear Train transmission efficiencies, computational methods are simple, substantially increase calculating
Efficiency and accuracy, beneficial effects of its implementation are also obvious.
Embodiment 2
As different from Example 1, in the power flow chart process for drawing 2K-H types Closed Epicyclic Gear Train and change train
In use different implementations.In the present embodiment will draw 2K-H type Closed Epicyclic Gear Trains power flow chart process and
The process for drawing the power flow chart of change train carries out complete independently, and sequence in no particular order, is embodied as：
(1) detailed process of the power flow chart of drafting 2K-H type Closed Epicyclic Gear Trains is：
Component in 2K-H type Closed Epicyclic Gear Trains indicates that input power △ symbolic indications are defeated with Arabic numerals
Go out power ◎ symbolic indications, gear pair is usedWithSymbolic indication, rack and is connected with rack by kinematic pair
Power flow between the component connect is represented by dashed line, performance number 0, the reality with the arrow of the power flow direction between other components
Line indicates that power flow valuve is labeled on solid line or dotted line, and input power passes through centre wheel, by centre wheel and planetary gear one
The gear pair of composition is punished in planetary gear one (planetary gear two) and is flowed by planetary gear one (planetary gear two), and power flow is passed through all the way
The gear pair of planetary gear two and central wheel of internal teeth composition, by central wheel of internal teeth (pinion gear), by pinion gear and gear wheel group
At gear pair, by gear wheel, another way power flow passes through planet carrier (internal gear), by internal gear and gear wheel composition
Gear pair exports 2K-H type Closed Epicyclic Gear Trains, ultimately forms by gear wheel by the two-way power flow concentration of gear wheel
The power flow of 2K-H type Closed Epicyclic Gear Trains.
(2) detailed process of the power flow chart of drafting change train is：
To 2K-H type Closed Epicyclic Gear Trains plus one additional turn opposite with planet carrier angular speed direction equal in magnitude
Dynamic to obtain change train, the rack in former 2K-H types Closed Epicyclic Gear Train becomes the movable part of change train, former 2K-H types
Planet carrier in Closed Epicyclic Gear Train becomes the rack of change train；
Component in change train indicates that input power △ symbolic indications, output power is accorded with ◎ with Arabic numerals
Number indicate, gear pair useWithSymbolic indication, power flow direction indicate with solid line with the arrow, rack and with
Power flow between the component that rack is connected by kinematic pair is represented by dashed line, performance number 0, the power flow between other components
Direction indicates that power flow valuve is labeled on solid line or dotted line with solid line with the arrow, input power shunting, all the way power flow
By the movable part of change train, change train is exported, another way power flow passes through centre wheel, by centre wheel and planetary gear
The gear pair of one composition, by planetary gear one (planetary gear two), by the gear pair of planetary gear two and central wheel of internal teeth composition, warp
Central wheel of internal teeth (pinion gear) is crossed, is punished in gear wheel by gear wheel by the gear pair of pinion gear and gear wheel composition
Stream, the gear pair that power flow is formed by internal gear with gear wheel all the way, another way power output change train ultimately form and turn
Change the power flow of train.
Compared with step 2 to step 4 in embodiment 1, embodiment 2 embodies flexible algorithm design, will draw 2K-H types
The power flow chart of Closed Epicyclic Gear Train and the power flow chart of change train carry out complete independently, and sequence in no particular order, can be same
It is operated Shi Zhihang, not only flexible design, but also improves computational efficiency.
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 domain.
Claims (10)
1. a kind of computational methods of 2K-H types Closed Epicyclic Gear Train transmission efficiency, the knot of the 2K-H types Closed Epicyclic Gear Train
Structure includes rack, differential gear train and fixed shaft gear train, and the differential gear train includes 1 centre wheel, 2 planetary gears, 1 internal tooth center
Wheel and 1 planet carrier, the fixed shaft gear train include 1 pinion gear, 1 gear wheel and 1 internal gear, and 2 planetary gears are connected in
On same axis, central wheel of internal teeth is connected on the same axis with pinion gear, and planet carrier is fixed together with internal gear, characterized in that
The computational methods include the following steps：
S1 obtains the related data of 2K-H type Closed Epicyclic Gear Trains；
S2 draws the power flow chart of 2K-H types Closed Epicyclic Gear Train and change train；
S3 calculates the shunting work(of 2K-H types Closed Epicyclic Gear Train and change train when not considering the loss of gear pair meshing power
Rate；
S4 calculates the power loss that power flow passes through gear pair；
S5 calculates 2K-H type Closed Epicyclic Gear Train transmission efficiencies.
2. a kind of computational methods of 2K-H types Closed Epicyclic Gear Train transmission efficiency as described in claim 1, characterized in that
In step S1, the related data of the 2K-H types Closed Epicyclic Gear Train includes：Centre wheel tooth number Z1, one tooth number Z of planetary gear2, row
Two tooth number Z of star-wheel3, central wheel of internal teeth tooth number Z4, internal gear tooth number Z5, pinion gear tooth number Z6, input power P, centre wheel and planet
The meshing efficiency η of the gear pair of one composition of wheel1, planetary gear two and central wheel of internal teeth composition gear pair meshing efficiency η2, small tooth
The meshing efficiency η of wheel and the gear pair of gear wheel composition3, gear wheel and internal gear composition gear pair meshing efficiency η4。
3. a kind of computational methods of 2K-H types Closed Epicyclic Gear Train transmission efficiency as described in claim 1, characterized in that institute
The detailed process for stating step S2 includes the following steps：
S21, to 2K-H type Closed Epicyclic Gear Trains plus one additional turn opposite with planet carrier angular speed direction equal in magnitude
Dynamic to obtain change train, the rack in former 2K-H types Closed Epicyclic Gear Train becomes the movable part of change train, former 2K-H types
Planet carrier in Closed Epicyclic Gear Train becomes the rack of change train；
S22 draws the power flow chart of 2K-H type Closed Epicyclic Gear Trains：Component in 2K-H type Closed Epicyclic Gear Trains uses me
Primary digital representation, input power △ symbolic indications, output power ◎ symbolic indications, gear pair are usedWith
Symbolic indication, the power flow between rack and the component being connect by kinematic pair with rack are represented by dashed line, performance number 0,
Power flow direction between its component indicates that power flow valuve is labeled on solid line or dotted line with solid line with the arrow, input
Power passes through centre wheel, by the gear pair that centre wheel and planetary gear one form, by planetary gear one (planetary gear two), in planet
One (planetary gear two) punishment stream is taken turns, power flow passes through the gear pair of planetary gear two and central wheel of internal teeth composition all the way, by internal tooth
Centre wheel (pinion gear), by the gear pair of pinion gear and gear wheel composition, by gear wheel, another way power flow passes through planet
Frame (internal gear) converges by gear wheel by the two-way power of gear wheel by the gear pair of internal gear and gear wheel composition
Stream exports 2K-H type Closed Epicyclic Gear Trains, ultimately forms the power flow of 2K-H type Closed Epicyclic Gear Trains；
S23 draws the power flow chart of change train：Component in change train indicates with Arabic numerals, input power △
Symbolic indication, output power ◎ symbolic indications, gear pair are usedWithSymbolic indication, power flow direction band
The solid line of arrow indicates that the power flow between rack and the component being connect by kinematic pair with rack is represented by dashed line, performance number
It is 0, the power flow direction between other components is indicated with solid line with the arrow, and power flow valuve is in solid line or the enterprising rower of dotted line
Note, input power shunt, and power flow passes through the movable part of change train all the way, export change train, and another way power flows through
Centre wheel is crossed, by the gear pair that centre wheel and planetary gear one form, by planetary gear one (planetary gear two), by planetary gear two
With the gear pair of central wheel of internal teeth composition, by central wheel of internal teeth (pinion gear), the gear formed by pinion gear and gear wheel
Pair is punished in gear wheel and is flowed by gear wheel, and power flow is by the gear pair of internal gear and gear wheel composition, another way all the way
Power output change train ultimately forms the power flow of change train.
4. a kind of computational methods of 2K-H types Closed Epicyclic Gear Train transmission efficiency as described in claim 1, characterized in that
In step S2, the detailed process for drawing 2K-H type Power Flow of Closed Epicyclic Gear Train figures is：
Component in 2K-H type Closed Epicyclic Gear Trains indicates with Arabic numerals, input power △ symbolic indications, output work
Rate ◎ symbolic indications, gear pair are usedWithSymbolic indication, rack and the structure being connect by kinematic pair with rack
Power flow between part is represented by dashed line, performance number 0, the solid line table with the arrow of the power flow direction between other components
Show, power flow valuve is labeled on solid line or dotted line, and input power passes through centre wheel, is formed by centre wheel and planetary gear one
Gear pair punish and flow in planetary gear one (planetary gear two) by planetary gear one (planetary gear two), power flow passes through planet all the way
The gear pair of wheel two and central wheel of internal teeth composition is formed by central wheel of internal teeth (pinion gear) by pinion gear and gear wheel
Gear pair, by gear wheel, another way power flow passes through planet carrier (internal gear), by the gear of internal gear and gear wheel composition
Pair exports 2K-H type Closed Epicyclic Gear Trains, ultimately forms 2K-H by gear wheel by the two-way power flow concentration of gear wheel
The power flow of type Closed Epicyclic Gear Train.
5. a kind of computational methods of 2K-H types Closed Epicyclic Gear Train transmission efficiency as described in claim 1, characterized in that
In step S2, the detailed process for drawing change train power flow chart is：
It is obtained plus an additional rotation opposite with planet carrier angular speed direction equal in magnitude to 2K-H type Closed Epicyclic Gear Trains
To change train, the rack in former 2K-H types Closed Epicyclic Gear Train becomes the movable part of change train, former 2K-H types closing
Planet carrier in formula cyclic train becomes the rack of change train；
Component in change train indicates with Arabic numerals, input power △ symbolic indications, output power ◎ symbol tables
Show, gear pair is usedWithSymbolic indication, power flow direction indicate with solid line with the arrow, rack and and rack
Power flow between the component connected by kinematic pair is represented by dashed line, performance number 0, the power flow direction between other components
It is indicated with solid line with the arrow, power flow valuve is labeled on solid line or dotted line, input power shunting, and power flow is passed through all the way
The movable part of change train exports change train, and another way power flow passes through centre wheel, by one group of centre wheel and planetary gear
At gear pair, by planetary gear one (planetary gear two), by the gear pair of planetary gear two and central wheel of internal teeth composition, by interior
Tooth centre wheel (pinion gear) is punished in gear wheel and is flowed by gear wheel by the gear pair of pinion gear and gear wheel composition, and one
Road power flow ultimately forms conversion wheel by the gear pair of internal gear and gear wheel composition, another way power output change train
The power flow of system.
6. a kind of computational methods of 2K-H types Closed Epicyclic Gear Train transmission efficiency as described in claim 1, characterized in that institute
The detailed process for stating step S3 includes the following steps：
S31, the shunting power calculation formula of 2K-H type Closed Epicyclic Gear Trains when by not considering the loss of gear pair meshing power
The shunting power V of 2K-H type Closed Epicyclic Gear Trains when not considering the loss of gear pair meshing power is calculated；
S32, the shunting power calculation formula of change train, which is calculated, when by not considering the loss of gear pair meshing power does not examine
The shunting power U of change train when considering the loss of gear pair meshing power.
7. a kind of computational methods of 2K-H types Closed Epicyclic Gear Train transmission efficiency as claimed in claim 6, characterized in that
It is described not consider that the shunting power calculation formula of 2K-H type Closed Epicyclic Gear Trains when the loss of gear pair meshing power is：
In formula, V is the shunting power of 2K-H type Closed Epicyclic Gear Trains when not considering the loss of gear pair meshing power, and P is input
Power, Z1Centered on tooth number, Z2For one number of teeth of planetary gear, Z3Two number of teeth of planetary gear, Z4For the central wheel of internal teeth number of teeth, Z5For internal tooth
Tooth number, Z6For the pinion gear number of teeth；
It is described not consider that the shunting power calculation formula of change train when the loss of gear pair meshing power is：
In formula, U is the shunting power of change train when not considering the loss of gear pair meshing power, Z5For the internal gear number of teeth, Z6It is small
Number of gear teeth, V are the shunting power of 2K-H type Closed Epicyclic Gear Trains when not considering the loss of gear pair meshing power, and P is input
Power.
8. a kind of computational methods of 2K-H types Closed Epicyclic Gear Train transmission efficiency as described in claim 1, characterized in that institute
The detailed process for stating step S4 includes the following steps：
Power flow is calculated by one group of centre wheel and planetary gear by first order gear pair power loss calculation formula in S41
At gear pair power loss L1；
Power flow is calculated by planetary gear two and internal tooth center by second level gear pair power loss calculation formula in S42
Take turns the power loss L of the gear pair of composition2；
S43 is calculated power flow by third level gear pair power loss calculation formula and is formed by pinion gear and gear wheel
Gear pair power loss L3；
S44 is calculated power flow by fourth stage gear pair power loss calculation formula and is formed by internal gear and gear wheel
Gear pair power loss L4。
9. a kind of computational methods of 2K-H types Closed Epicyclic Gear Train transmission efficiency as claimed in claim 8, characterized in that
The first order gear pair power loss calculation formula is：
L1=(P-U) (1- η1) (3)
In formula, L1For the power loss for the gear pair that power flow is formed by centre wheel with planetary gear one, P is input power, and U is
The shunting power of change train when the loss of gear pair meshing power, η are not considered1Centered on wheel with planetary gear one form gear pair
Meshing efficiency；
The second level gear pair power loss calculation formula is：
L2=(P-U-L1)(1-η2) (4)
In formula, L2It is the power loss for the gear pair that power flow is formed by planetary gear two with central wheel of internal teeth, P is input power,
U is the shunting power of change train when not considering the loss of gear pair meshing power, L1Pass through centre wheel and planetary gear for power flow
The power loss of the gear pair of one composition, η2For the meshing efficiency of planetary gear two and the gear pair of central wheel of internal teeth composition；
The third level gear pair power loss calculation formula is：
L3=(P-V-L1-L2)(1-η3) (5)
In formula, L3Power loss for power flow by pinion gear and the gear pair of gear wheel composition, P are input power, and V is not
Consider the shunting power of 2K-H type Closed Epicyclic Gear Trains when the loss of gear pair meshing power, L1For power flow by centre wheel with
The power loss for the gear pair that planetary gear one forms, L2It is the gear pair that power flow is formed by planetary gear two with central wheel of internal teeth
Power loss, η3For the meshing efficiency of pinion gear and the gear pair of gear wheel composition；
The fourth stage gear pair power loss calculation formula is：
L4=V (1- η4) (6)
In formula, L4It is the power loss for the gear pair that power flow is formed by internal gear with gear wheel, V is not consider that gear pair is nibbled
The shunting power of 2K-H type Closed Epicyclic Gear Trains, η when closing power loss4The gear pair formed with gear wheel for internal gear is nibbled
Close efficiency.
10. a kind of computational methods of 2K-H types Closed Epicyclic Gear Train transmission efficiency as described in claim 1, characterized in that
The detailed process of the step S5 is：
2K-H types closed week is calculated by 2K-H types Closed Epicyclic Gear Train transmission efficiency calculation formula shown in formula (7)
Runner system transmission efficiency η,
In formula, η is 2K-H type Closed Epicyclic Gear Train transmission efficiencies, and P is input power, L1Pass through centre wheel and row for power flow
The power loss for the gear pair that star-wheel one forms, L2It is the gear pair that power flow is formed by planetary gear two with central wheel of internal teeth
Power loss, L3Power loss for power flow by pinion gear and the gear pair of gear wheel composition, L4Pass through internal tooth for power flow
The power loss of wheel and the gear pair of gear wheel composition.
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