CN108256232A - A kind of computational methods for closing differential herringbone bear train transmission efficiency - Google Patents
A kind of computational methods for closing differential herringbone bear train transmission efficiency Download PDFInfo
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- CN108256232A CN108256232A CN201810051833.9A CN201810051833A CN108256232A CN 108256232 A CN108256232 A CN 108256232A CN 201810051833 A CN201810051833 A CN 201810051833A CN 108256232 A CN108256232 A CN 108256232A
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- G—PHYSICS
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Abstract
The invention discloses a kind of computational methods for closing differential herringbone bear train transmission efficiency, it includes the following steps：S1 obtains the related data for closing differential herringbone bear train；S2 calculates the gearratio of enclosure class gear；S3 draws the power flow chart for not considering that differential herringbone bear train and change train are closed during meshing power loss；S4 calculates shunting power；S5 calculates the power loss of power flow；S6 calculates the transmission efficiency for closing differential herringbone bear train.The present invention fast and convenient can calculate and close differential herringbone bear train transmission efficiency, not only calculate fast and convenient, but also computational efficiency is high, accuracy is high.
Description
Technical field
The present invention relates to gear wheel-train art drive systems field, specifically a kind of differential herringbone bear train of closing
The computational methods of transmission efficiency.
Background technology
Herringbone bear transmission system is the important component in the machine driven systems such as naval vessel, with efficient, knot
The advantages that structure is compact, reliable operation, the stability and reliability that dynamic characteristic will directly influence transmission system.Therefore, open
The Dynamical Characteristics for opening up herringbone bear transmission system have important engineering significance.
Close the combination transmission mechanism that differential herringbone bear transmission system is star-wheel closing differential planetary gear train.Closing
Differential herringbone bear train shares load using multiple planetary gears and star-wheel and forms power dividing, has small, light-weight
With bearing capacity it is high the advantages that, be widely used in aero-engine main reducing gear, jack machinism and power drive system.Envelope
The height for closing differential herringbone bear train transmission efficiency is directly related to device performance and energy consumption.
Although the computational methods of current train transmission efficiency are more, for the biography for closing differential herringbone bear train
Efficiency of movement computational methods still lack.
Invention content
In view of the deficiencies of the prior art, the present invention proposes a kind of calculating for closing differential herringbone bear train transmission efficiency
Method can quickly and easily calculate the transmission efficiency for closing differential herringbone bear train.
The present invention solves its technical problem and adopts the technical scheme that：
A kind of computational methods for closing differential herringbone bear train transmission efficiency provided in an embodiment of the present invention, the closing
The structure of differential herringbone bear train includes rack, differential stage train and enclosure class train, and the differential stage train includes 1 difference
Dynamic grade sun gear, n differential stage planetary gear, 1 differential stage internal gear and 1 differential stage planet carrier, the enclosure class train packet
1 enclosure class external gear, m enclosure class star-wheel and 1 enclosure class internal gear, differential stage internal gear is included with enclosure class external gear to consolidate
Even on the same axis, differential stage planet carrier is connected on the same axis with enclosure class internal gear, and the computational methods include following step
Suddenly：
S1 obtains the related data for closing differential herringbone bear train；
S2 calculates the gearratio of enclosure class gear；
S3 draws the power flow chart for not considering that differential herringbone bear train and change train are closed during meshing power loss；
S4 calculates shunting power；
S5 calculates the power loss of power flow；
S6 calculates the transmission efficiency for closing differential herringbone bear train.
As a kind of possible realization method of the present embodiment, in step sl, the differential herringbone bear train of closing
Related data includes：Differential stage planetary gear number n, enclosure class external gear tooth number Z1, enclosure class internal gear tooth number Z2, enclosure class star
Take turns the meshing efficiency η of number m, input power P, differential stage sun gear and differential stage planetary gear1, differential stage planetary gear and differential stage
The meshing efficiency η of internal gear2, enclosure class external gear and enclosure class star-wheel meshing efficiency η3In enclosure class star-wheel and enclosure class
The meshing efficiency η of gear4。
As a kind of possible realization method of the present embodiment, the detailed process of the step S2 is：By shown in formula (1)
Enclosure class gear ratio i is calculated in enclosure class gear ratio calculation formula12,
In formula, i12For enclosure class gear ratio, z1For the enclosure class external gear number of teeth, z2For the enclosure class internal gear number of teeth.
As a kind of possible realization method of the present embodiment, the detailed process of the step S3 includes the following steps：
S31 adds one and differential stage planet carrier angular speed direction phase equal in magnitude to differential herringbone bear train is closed
Anti- additional rotation obtains change train, and the untouched rack closed in differential herringbone bear train becomes the movable structure of change train
Part, the untouched differential stage planet carrier closed in differential herringbone bear train and enclosure class internal gear become the rack of change train；
S32, drafting do not consider to close differential herringbone bear train power flow chart during meshing power loss：Close differential herringbone
Component in gear wheel-train represents that input power is used with Arabic numeralsSymbolic indication, output power are usedSymbolic indication, machine
Power flow between frame and the component being connect with rack by kinematic pair is represented by dashed line, performance number 0, between other components
Power flow direction represents that power flow valuve is labeled on solid line or dotted line with solid line with the arrow, and input power P flows through differential
Grade sun gear, differential stage planetary gear are punished in differential stage planetary gear and are flowed, and power is P-V all the way, which flows through differential stage internal tooth
Wheel, enclosure class external gear, enclosure class star-wheel, enclosure class internal gear, another way shunting power are V, which flows through enclosure class internal tooth
Wheel, this two-way power converge at enclosure class internal gear, form the power flow for closing differential herringbone bear train；
S33, drafting do not consider change train power flow chart during meshing power loss：Component in change train is Arabic
Digital representation, input power are usedSymbolic indication, output power are usedSymbolic indication, power flow direction solid line table with the arrow
Show, the power flow between rack and the component being connect with rack by kinematic pair is represented by dashed line, performance number 0, other components
Between power flow direction represent that power flow valuve is labeled on solid line or dotted line with solid line with the arrow, input power P stream
Through differential stage sun gear, differential stage planetary gear is flowed through, flows through differential stage internal gear, flows through enclosure class external gear, flows through conversion wheel
The movable part of system forms the power flow of change train.
The realization method alternatively possible as the present embodiment, in step s3, when drafting does not consider meshing power loss
The detailed process for closing differential herringbone bear train power flow chart is：
The component closed in differential herringbone bear train represents that input power is used with Arabic numeralsSymbolic indication, it is defeated
Go out power useSymbolic indication, the power flow between rack and the component being connect with rack by kinematic pair are represented by dashed line, work(
Rate value is 0, and the power flow direction between other components represents that power flow valuve carries out on solid line or dotted line with solid line with the arrow
Mark, input power P flow through differential stage sun gear, and differential stage planetary gear is punished in differential stage planetary gear and flowed, and power is P- all the way
V, the road flow through differential stage internal gear, enclosure class external gear, enclosure class star-wheel, enclosure class internal gear, and another way shunting power is
V, the road flow through enclosure class internal gear, this two-way power converges at enclosure class internal gear, are formed and close differential herringbone bear wheel
The power flow of system.
The realization method alternatively possible as the present embodiment, in step s3, when drafting does not consider meshing power loss
The detailed process of change train power flow chart is：
It is opposite with differential stage planet carrier angular speed direction equal in magnitude plus one to differential herringbone bear train is closed
Additional rotation obtains change train, and the untouched rack closed in differential herringbone bear train becomes the movable part of change train, former
Closing differential stage planet carrier and enclosure class internal gear in differential herringbone bear train becomes the rack of change train；
Component in change train represents that input power is used with Arabic numeralsSymbolic indication, output power are usedSymbol
It number represents, power flow direction represents with solid line with the arrow, the work(between rack and the component being connect with rack by kinematic pair
Rate stream is represented by dashed line, performance number 0, and the power flow direction between other components is represented with solid line with the arrow, power flow valuve
It is labeled on solid line or dotted line, input power P flows through differential stage sun gear, flows through differential stage planetary gear, flows through differential stage
Internal gear flows through enclosure class external gear, flows through the movable part of change train, forms the power flow of change train.
As a kind of possible realization method of the present embodiment, the detailed process of the step S4 is：
Shunting power V is calculated than calculation formula by the fictitious power shown in formula (2),
In formula, V is shunting power, and P is input power, i12For enclosure class gear ratio.
As a kind of possible realization method of the present embodiment, the detailed process of the step S5 includes the following steps：
Work(of the power flow by differential stage planetary gear is calculated by first order gear power loss calculation formula in S51
Rate loses L1；
Work(of the power flow by differential stage internal gear is calculated by second level gear power loss calculation formula in S52
Rate loses L2；
Power of the power flow by enclosure class star-wheel is calculated by third level gear power loss calculation formula in S53
Lose L3；
Work(of the power flow by enclosure class internal gear is calculated by fourth stage gear power loss calculation formula in S54
Rate loses L4。
As a kind of possible realization method of the present embodiment, the first order gear power loss calculation formula is：
L1=P (1- η1 n) (3)
In formula, L1It is the power loss that power flow passes through differential stage planetary gear, P is input power, η1For differential stage sun gear
With differential stage planetary gear meshing efficiency, n is differential stage planetary gear number；
The second level gear power loss calculation formula is：
L2=(P-L1)(1-η2 n) (4)
In formula, L2It is the power loss that power flow passes through differential stage internal gear, P is input power, L1It is that power flow process is poor
The power loss of dynamic grade planetary gear, η2For differential stage planetary gear and differential stage internal gear meshing efficiency, n is differential stage planetary gear
Number；
The third level gear power loss calculation formula is：
L3=(P-V-L1-L2)(1-η3 m) (5)
In formula, L3It is the power loss that power flow passes through enclosure class star-wheel, P is input power, and V is shunting power, L1For work(
Rate stream passes through the power loss of differential stage planetary gear, L2Pass through the power loss of differential stage internal gear, η for power flow3For enclosure class
External gear and enclosure class star-wheel meshing efficiency, m are enclosure class star-wheel number；
The fourth stage gear power loss calculation formula is：
L4=(P-V-L1-L2-L3)(1-η4 m) (6)
In formula, L4It is the power loss that power flow passes through enclosure class internal gear, P is input power, and V is shunting power, L1For
Power flow passes through the power loss of differential stage planetary gear, L2Pass through the power loss of differential stage internal gear, L for power flow3For power
Stream is by the power loss of enclosure class star-wheel, η4For enclosure class star-wheel and enclosure class internal gear meshing efficiency, m is enclosure class star-wheel
Number.
As a kind of possible realization method of the present embodiment, the detailed process of the step S6 is：
The differential people of closing is calculated by the differential herringbone bear train transmission efficiency calculation formula of closing shown in formula (7)
Word gear wheel-train transmission efficiency η,
In formula, η is closes differential herringbone bear train transmission efficiency, and P is input power, L1Pass through differential stage for power flow
The power loss of planetary gear, L2Pass through the power loss of differential stage internal gear, L for power flow3Pass through enclosure class star-wheel for power flow
Power loss, L4Pass through the power loss of enclosure class internal gear for power flow.
The technical solution of the embodiment of the present invention can have the advantage that as follows：
A kind of computational methods of the differential herringbone bear train transmission efficiency of closing of technical solution of the embodiment of the present invention according to
The structure of differential herringbone bear train is closed, calculates the gearratio of enclosure class gear, drafting does not consider to seal during meshing power loss
Differential herringbone bear train power flow chart and change train power flow chart are closed, calculates shunting power and power flow by each of gear
Kind power loss, it is final to obtain the transmission efficiency for closing differential herringbone bear train.It is poor that the present invention fast and convenient can calculate closing
Moving word gear wheel-train transmission efficiency, not only calculates fast and convenient, but also computational efficiency is high, accuracy is high.
Description of the drawings
Fig. 1 is the calculating side according to a kind of differential herringbone bear train transmission efficiency of closing shown in an exemplary embodiment
The flow chart of method；
Fig. 2 is the transmission principle figure according to a kind of differential herringbone bear train of closing shown in an exemplary embodiment；
Fig. 3 is not considered to close differential herringbone bear during meshing power loss according to one kind shown in an exemplary embodiment
The schematic diagram of train power flow chart；
Fig. 4 is change train power flow chart when not considering that meshing power loses according to one kind shown in an exemplary embodiment
Schematic diagram；
Symbolic indication in Fig. 2 and Fig. 3：1st, rack, 2, differential stage sun gear, 3, differential stage planetary gear, 4, differential stage internal tooth
Wheel, 5, differential stage planet carrier, 6, enclosure class external gear, 7, enclosure class star-wheel, 8, enclosure class internal gear；
Symbolic indication in Fig. 4：1 ', change train movable part, 2, differential stage sun gear, 3, differential stage planetary gear, 4, poor
Dynamic grade internal gear, 5 ' and 8 ', change train rack, 6, enclosure class external gear, 7, enclosure class star-wheel.
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.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 for closing differential herringbone bear train includes rack 1, differential stage train and enclosure class train,
It is differential that the differential stage train includes 1 differential stage sun gear 2,3,1 differential stage internal gears 4 of n differential stage planetary gear and 1
Grade planet carrier 5, the enclosure class train include 1 enclosure class external gear 6, m enclosure class star-wheel 7 and 1 enclosure class internal gear
8, differential stage internal gear 4 is connected on the same axis with enclosure class external gear 6, and differential stage planet carrier 5 is connected with enclosure class internal gear 8
On the same axis.For the structure of the differential herringbone bear train of above-mentioned closing, the present invention provides a kind of differential double helical tooths of closing
The computational methods of train transmission efficiency are taken turns, as shown in Figure 1, it includes the following steps：S1 is obtained and is closed differential herringbone bear train
Related data；S2 calculates the gearratio of enclosure class gear；S3, drafting do not consider to close differential herringbone during meshing power loss
The power flow chart of gear wheel-train and change train；S4 calculates shunting power；S5 calculates the power loss of power flow；S6 is calculated
Close the transmission efficiency of differential herringbone bear train.
Embodiment 1
A kind of computational methods for closing differential herringbone bear 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 for closing differential herringbone bear train is obtained：Differential stage planetary gear number n, enclosure class external tooth
Tooth number Z1, enclosure class internal gear tooth number Z2, enclosure class star-wheel number m, input power P, as shown in table 1；Differential stage sun gear with
The meshing efficiency η of differential stage planetary gear1, differential stage planetary gear and differential stage internal gear meshing efficiency η2, enclosure class external gear with
The meshing efficiency η of enclosure class star-wheel3, enclosure class star-wheel and enclosure class internal gear meshing efficiency η4, as shown in table 2.
Table 1
Table 2
Step 2：Use the enclosure class external gear tooth number Z in step 11, enclosure class internal gear tooth number Z2, by formula (1) Suo Shi
Enclosure class gear ratio calculation formula, enclosure class gear ratio i is calculated12,
In formula, i12For enclosure class gear ratio, z1For the enclosure class external gear number of teeth, z2For the enclosure class internal gear number of teeth.
Step 3：One and differential stage planet carrier angular speed direction equal in magnitude are added to differential herringbone bear train is closed
Opposite additional rotation obtains change train, and the untouched rack closed in differential herringbone bear train becomes the movable structure of change train
Part, the untouched differential stage planet carrier closed in differential herringbone bear train and enclosure class internal gear are configured to the rack of change train.
Step 4：It draws and does not consider to close differential herringbone bear train power flow chart during meshing power loss, close differential people
Component in word gear wheel-train represents that input power is used with Arabic numeralsSymbolic indication, output power are usedSymbolic indication,
Power flow between rack and the component being connect with rack by kinematic pair is represented by dashed line, performance number 0, between other components
Power flow direction represent that power flow valuve is labeled on solid line or dotted line with solid line with the arrow, input power P flows through difference
Dynamic grade sun gear, differential stage planetary gear are punished in differential stage planetary gear and are flowed, and power is P-V all the way, which flows through differential stage internal tooth
Wheel, enclosure class external gear, enclosure class star-wheel, enclosure class internal gear, another way shunting power are V, which flows through enclosure class internal tooth
Wheel, this two-way power converge at enclosure class internal gear, form the power flow for closing differential herringbone bear train, do not consider to engage
Differential herringbone bear train power flow chart is closed during power loss as shown in figure 3, symbolic indication in Fig. 3：1st, rack, 2, differential stage
Sun gear, 3, differential stage planetary gear, 4, differential stage internal gear, 5, differential stage planet carrier, 6, enclosure class external gear, 7, enclosure class star
Wheel, 8, enclosure class internal gear.
Step 5：It draws and does not consider change train power flow chart when meshing power loses, the component in change train uses me
Primary digital representation, input power are usedSymbolic indication, output power are usedSymbolic indication, power flow direction solid line with the arrow
It represents, the power flow between rack and the component being connect with rack by kinematic pair is represented by dashed line, performance number 0, other structures
Power flow direction between part represents that power flow valuve is labeled on solid line or dotted line with solid line with the arrow, input power P
Differential stage sun gear is flowed through, flows through differential stage planetary gear, flows through differential stage internal gear, enclosure class external gear is flowed through, flows through step 3
In obtained movable part, form the power flow of change train, do not consider that change train power flow chart is such as during meshing power loss
Shown in Fig. 4, symbolic indication in Fig. 4：1 ', change train movable part, 2, differential stage sun gear, 3, differential stage planetary gear, 4, poor
Dynamic grade internal gear, 5 ' and 8 ', change train rack, 6, enclosure class external gear, 7, enclosure class star-wheel.
Step 6：Use the enclosure class gear ratio i calculated in the input power P in step 1 and step 212, pass through formula
(2) shunting power V is calculated than calculation formula in fictitious power shown in,
In formula, V is shunting power, and P is input power, i12For enclosure class gear ratio.
Step 7：Use the differential stage sun gear in step 1 and the meshing efficiency η of differential stage planetary gear1, input power P and
By first order gear power loss calculation formula, power flow is calculated by differential stage planet in differential stage planetary gear number n
The power loss L of wheel1, the first order gear power loss calculation formula is：
L1=P (1- η1 n) (3)
In formula, L1It is the power loss that power flow passes through differential stage planetary gear, P is input power, η1For differential stage sun gear
With differential stage planetary gear meshing efficiency, n is differential stage planetary gear number.
Step 8：Use the differential stage planetary gear in step 1 and the meshing efficiency η of differential stage internal gear2, input power P,
The power flow calculated in differential stage planetary gear number n and step 7 passes through the power loss L of differential stage planetary gear1, pass through the second level
The power loss L that power flow passes through differential stage internal gear is calculated in gear power loss calculation formula2,
The second level gear power loss calculation formula is：
L2=(P-L1)(1-η2 n) (4)
In formula, L2It is the power loss that power flow passes through differential stage internal gear, P is input power, L1It is that power flow process is poor
The power loss of dynamic grade planetary gear, η2For differential stage planetary gear and differential stage internal gear meshing efficiency, n is differential stage planetary gear
Number.
Step 9：Use the enclosure class external gear in step 1 and the meshing efficiency η of enclosure class star-wheel3, input power P, envelope
Close the work(that the power flow calculated in the shunting power V calculated in grade star-wheel number m, step 6, step 7 passes through differential stage planetary gear
Rate loses L1Pass through the power loss L of differential stage internal gear with the power flow calculated in step 82, damaged by third level gear power
Calculation formula is lost, the power loss L that power flow passes through enclosure class star-wheel is calculated3,
The third level gear power loss calculation formula is：
L3=(P-V-L1-L2)(1-η3 m) (5)
In formula, L3It is the power loss that power flow passes through enclosure class star-wheel, P is input power, and V is shunting power, L1For work(
Rate stream passes through the power loss of differential stage planetary gear, L2Pass through the power loss of differential stage internal gear, η for power flow3For enclosure class
External gear and enclosure class star-wheel meshing efficiency, m are enclosure class star-wheel number.
Step 10：Use the enclosure class star-wheel in step 1 and the meshing efficiency η of enclosure class internal gear4, input power P, envelope
Close the work(that the power flow calculated in the shunting power V calculated in grade star-wheel number m, step 6, step 7 passes through differential stage planetary gear
Rate loses L1, the power flow that calculates in step 8 pass through the power loss L of differential stage internal gear2With the power flow calculated in step 9
By the power loss L of enclosure class star-wheel3, by fourth stage gear power loss calculation formula, power flow process is calculated
The power loss L of enclosure class internal gear4,
The fourth stage gear power loss calculation formula is：
L4=(P-V-L1-L2-L3)(1-η4 m) (6)
In formula, L4It is the power loss that power flow passes through enclosure class internal gear, P is input power, and V is shunting power, L1For
Power flow passes through the power loss of differential stage planetary gear, L2Pass through the power loss of differential stage internal gear, L for power flow3For power
Stream is by the power loss of enclosure class star-wheel, η4For enclosure class star-wheel and enclosure class internal gear meshing efficiency, m is enclosure class star-wheel
Number.
Step 11：Pass through the power of differential stage planetary gear using the power flow calculated in input power P, step 7 in step 1
Lose L1, the power flow that calculates in step 8 pass through the power loss L of differential stage internal gear2, the power flow that calculates in step 9 passes through
The power loss L of enclosure class star-wheel3Pass through the power loss L of enclosure class internal gear with the power flow calculated in step 104, pass through
The differential herringbone bear train of closing is calculated in the differential herringbone bear train transmission efficiency calculation formula of closing shown in formula (7)
Transmission efficiency η,
In formula, η is closes differential herringbone bear train transmission efficiency, and P is input power, L1Pass through differential stage for power flow
The power loss of planetary gear, L2Pass through the power loss of differential stage internal gear, L for power flow3Pass through enclosure class star-wheel for power flow
Power loss, L4Pass through the power loss of enclosure class internal gear for power flow.
Enclosure class gear ratio i12, shunting power V, power flow pass through differential stage planetary gear power loss L1, power
Stream passes through the power loss L of differential stage internal gear2, power flow pass through enclosure class star-wheel power loss L3, power flow by closing
The power loss L of grade internal gear4, the result of calculation of the differential herringbone bear train transmission efficiency η of closing it is as shown in table 3.
Table 3
The present embodiment calculates the gearratio of enclosure class gear, draws not according to the structure for closing differential herringbone bear train
Consider to close differential herringbone bear train power flow chart and change train power flow chart during meshing power loss, calculate shunting power
Pass through the various power losses of gear with power flow, it is final to obtain the transmission efficiency for closing differential herringbone bear train.The present invention
It fast and convenient can calculate and close differential herringbone bear train transmission efficiency, not only calculate fast and convenient, but also computational efficiency is high, accurate
True property is high, and the advantageous effect implemented is also obvious.
Embodiment 2
As different from Example 1, it closes differential herringbone bear train when drawing and not considering meshing power loss and turns
The power flow chart for changing train employs different implementations in the process.It will be drawn in the present embodiment and do not consider that meshing power loses
When close differential herringbone bear train power flow chart process and draw do not consider meshing power loss when change train power flow
The process of figure carries out complete independently, and sequence in no particular order, is embodied as：
(1) drawing the detailed process for not considering to close differential herringbone bear train power flow chart during meshing power loss is：
The component closed in differential herringbone bear train represents that input power is used with Arabic numeralsSymbolic indication, output power are usedSymbolic indication, the power flow between rack and the component being connect with rack by kinematic pair are represented by dashed line, performance number 0,
Power flow direction between other components represents that power flow valuve is labeled on solid line or dotted line, defeated with solid line with the arrow
Enter power P and flow through differential stage sun gear, differential stage planetary gear is punished in differential stage planetary gear and flowed, and power is P-V all the way, the road
Flow through differential stage internal gear, enclosure class external gear, enclosure class star-wheel, enclosure class internal gear, another way shunting power is V, the road
Enclosure class internal gear is flowed through, this two-way power converges at enclosure class internal gear, forms the work(for closing differential herringbone bear train
Rate stream.
(2) drafting does not consider that the detailed process of change train power flow chart during meshing power loss is：
It is opposite with differential stage planet carrier angular speed direction equal in magnitude plus one to differential herringbone bear train is closed
Additional rotation obtains change train, and the untouched rack closed in differential herringbone bear train becomes the movable part of change train, former
Closing differential stage planet carrier and enclosure class internal gear in differential herringbone bear train becomes the rack of change train；
Component in change train represents that input power is used with Arabic numeralsSymbolic indication, output power are usedSymbol
It number represents, power flow direction represents with solid line with the arrow, the work(between rack and the component being connect with rack by kinematic pair
Rate stream is represented by dashed line, performance number 0, and the power flow direction between other components is represented with solid line with the arrow, power flow valuve
It is labeled on solid line or dotted line, input power P flows through differential stage sun gear, flows through differential stage planetary gear, flows through differential stage
Internal gear flows through enclosure class external gear, flows through the movable part of change train, forms the power flow of change train.
Compared with step 3 to step 5 in embodiment 1, embodiment 2 embodies flexible algorithm design, does not consider drawing
Meshing power closes differential herringbone bear train power flow chart when losing and change train power flow chart carries out complete independently, and not
Successively sequence, can be performed simultaneously its operation, not only flexible design, but also provide 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 for closing differential herringbone bear train transmission efficiency, the knot of the differential herringbone bear train of closing
Structure includes rack, differential stage train and enclosure class train, and the differential stage train includes 1 differential stage sun gear, n differential stage
Planetary gear, 1 differential stage internal gear and 1 differential stage planet carrier, the enclosure class train include 1 enclosure class external gear, m
Enclosure class star-wheel and 1 enclosure class internal gear, differential stage internal gear are connected on the same axis with enclosure class external gear, differential stage row
Carrier is connected on the same axis with enclosure class internal gear, it is characterized in that, the computational methods include the following steps：
S1 obtains the related data for closing differential herringbone bear train；
S2 calculates the gearratio of enclosure class gear；
S3 draws the power flow chart for not considering that differential herringbone bear train and change train are closed during meshing power loss；
S4 calculates shunting power；
S5 calculates the power loss of power flow；
S6 calculates the transmission efficiency for closing differential herringbone bear train.
2. a kind of computational methods for closing differential herringbone bear train transmission efficiency as described in claim 1, it is characterized in that,
In step S1, the related data of the differential herringbone bear train of closing includes：Differential stage planetary gear number n, enclosure class external tooth
Tooth number Z1, enclosure class internal gear tooth number Z2, enclosure class star-wheel number m, input power P, differential stage sun gear and differential stage planet
The meshing efficiency η of wheel1, differential stage planetary gear and differential stage internal gear meshing efficiency η2, enclosure class external gear and enclosure class star-wheel
Meshing efficiency η3With enclosure class star-wheel and the meshing efficiency η of enclosure class internal gear4。
3. a kind of computational methods for closing differential herringbone bear train transmission efficiency as described in claim 1, it is characterized in that, institute
The detailed process for stating step S2 is：Enclosure class tooth is calculated by the enclosure class gear ratio calculation formula shown in formula (1)
Take turns gearratio i12,
In formula, i12For enclosure class gear ratio, z1For the enclosure class external gear number of teeth, z2For the enclosure class internal gear number of teeth.
4. a kind of computational methods for closing differential herringbone bear train transmission efficiency as described in claim 1, it is characterized in that, institute
The detailed process for stating step S3 includes the following steps：
S31, it is opposite with differential stage planet carrier angular speed direction equal in magnitude plus one to differential herringbone bear train is closed
Additional rotation obtains change train, and the untouched rack closed in differential herringbone bear train becomes the movable part of change train, former
Closing differential stage planet carrier and enclosure class internal gear in differential herringbone bear train becomes the rack of change train；
S32, drafting do not consider to close differential herringbone bear train power flow chart during meshing power loss：Close differential herringbone bear
Component in train represents that input power ⊙ symbolic indications, output power is used with Arabic numeralsSymbolic indication, rack and
Power flow between the component being connect with rack by kinematic pair is represented by dashed line, performance number 0, the power between other components
Stream direction represents that power flow valuve is labeled on solid line or dotted line with solid line with the arrow, and input power P flows through differential stage too
Sun wheel, differential stage planetary gear are punished in differential stage planetary gear and are flowed, and power is P-V all the way, which flows through differential stage internal gear, are sealed
A grade external gear is closed, enclosure class star-wheel, enclosure class internal gear, another way shunting power is V, which flows through enclosure class internal gear, this
Two-way power converges at enclosure class internal gear, forms the power flow for closing differential herringbone bear train；
S33, drafting do not consider change train power flow chart during meshing power loss：Component Arabic numerals in change train
It represents, input power ⊙ symbolic indications, output power is usedSymbolic indication, power flow direction represent with solid line with the arrow,
Power flow between rack and the component being connect with rack by kinematic pair is represented by dashed line, performance number 0, between other components
Power flow direction represent that power flow valuve is labeled on solid line or dotted line with solid line with the arrow, input power P flows through difference
Dynamic grade sun gear, flows through differential stage planetary gear, flows through differential stage internal gear, flow through enclosure class external gear, flow through change train
Movable part forms the power flow of change train.
5. a kind of computational methods for closing differential herringbone bear train transmission efficiency as described in claim 1, it is characterized in that,
In step S3, drawing the detailed process for not considering to close differential herringbone bear train power flow chart during meshing power loss is：
The component closed in differential herringbone bear train represents with Arabic numerals, input power ⊙ symbolic indications, output work
Rate is usedSymbolic indication, the power flow between rack and the component being connect with rack by kinematic pair are represented by dashed line, performance number
It is 0, the power flow direction between other components is represented with solid line with the arrow, and power flow valuve is in solid line or the enterprising rower of dotted line
Note, input power P flow through differential stage sun gear, and differential stage planetary gear is punished in differential stage planetary gear and flowed, and power is P-V all the way,
The road flows through differential stage internal gear, and enclosure class external gear, enclosure class star-wheel, enclosure class internal gear, another way shunting power is V,
The road flows through enclosure class internal gear, this two-way power converges at enclosure class internal gear, is formed and closes differential herringbone bear train
Power flow.
6. a kind of computational methods for closing differential herringbone bear train transmission efficiency as described in claim 1, it is characterized in that,
In step S3, the detailed process for drawing change train power flow chart when not considering meshing power loss is：
It opposite with differential stage planet carrier angular speed direction equal in magnitude is added plus one to differential herringbone bear train is closed
Rotation obtains change train, and the untouched rack closed in differential herringbone bear train becomes the movable part of change train, untouched to close
Differential stage planet carrier and enclosure class internal gear in differential herringbone bear train become the rack of change train；
Component in change train represents that input power ⊙ symbolic indications, output power is used with Arabic numeralsSymbol table
Show, power flow direction is represented with solid line with the arrow, the power flow between rack and the component being connect with rack by kinematic pair
It is represented by dashed line, performance number 0, the power flow direction between other components represents that power flow valuve is in reality with solid line with the arrow
It is labeled on line or dotted line, input power P flows through differential stage sun gear, flows through differential stage planetary gear, flows through differential stage internal tooth
Wheel, flows through enclosure class external gear, flows through the movable part of change train, form the power flow of change train.
7. a kind of computational methods for closing differential herringbone bear train transmission efficiency as described in claim 1, it is characterized in that, institute
The detailed process for stating step S4 is：
Shunting power V is calculated than calculation formula by the fictitious power shown in formula (2),
In formula, V is shunting power, and P is input power, i12For enclosure class gear ratio.
8. a kind of computational methods for closing differential herringbone bear train transmission efficiency as described in claim 1, it is characterized in that, institute
The detailed process for stating step S5 includes the following steps：
S51 is calculated power flow by first order gear power loss calculation formula and is damaged by the power of differential stage planetary gear
Lose L1；
S52 is calculated power flow by second level gear power loss calculation formula and is damaged by the power of differential stage internal gear
Lose L2；
Power loss of the power flow by enclosure class star-wheel is calculated by third level gear power loss calculation formula in S53
L3；
S54 is calculated power flow by fourth stage gear power loss calculation formula and is damaged by the power of enclosure class internal gear
Lose L4。
9. a kind of computational methods for closing differential herringbone bear train transmission efficiency as claimed in claim 8, it is characterized in that,
The first order gear power loss calculation formula is：
L1=P (1- η1 n) (3)
In formula, L1It is the power loss that power flow passes through differential stage planetary gear, P is input power, η1For differential stage sun gear with it is poor
Dynamic grade planetary gear meshing efficiency, n are differential stage planetary gear number；
The second level gear power loss calculation formula is：
L2=(P-L1)(1-η2 n) (4)
In formula, L2It is the power loss that power flow passes through differential stage internal gear, P is input power, L1Pass through differential stage for power flow
The power loss of planetary gear, η2For differential stage planetary gear and differential stage internal gear meshing efficiency, n is differential stage planetary gear number；
The third level gear power loss calculation formula is：
L3=(P-V-L1-L2)(1-η3 m) (5)
In formula, L3It is the power loss that power flow passes through enclosure class star-wheel, P is input power, and V is shunting power, L1For power flow
By the power loss of differential stage planetary gear, L2Pass through the power loss of differential stage internal gear, η for power flow3For enclosure class external tooth
Wheel and enclosure class star-wheel meshing efficiency, m are enclosure class star-wheel number；
The fourth stage gear power loss calculation formula is：
L4=(P-V-L1-L2-L3)(1-η4 m) (6)
In formula, L4It is the power loss that power flow passes through enclosure class internal gear, P is input power, and V is shunting power, L1For power
Stream is by the power loss of differential stage planetary gear, L2Pass through the power loss of differential stage internal gear, L for power flow3It is flowed through for power
Cross the power loss of enclosure class star-wheel, η4For enclosure class star-wheel and enclosure class internal gear meshing efficiency, m is enclosure class star-wheel
Number.
10. a kind of computational methods for closing differential herringbone bear train transmission efficiency as described in claim 1, it is characterized in that,
The detailed process of the step S6 is：
The differential double helical tooth of closing is calculated by the differential herringbone bear train transmission efficiency calculation formula of closing shown in formula (7)
Train transmission efficiency η is taken turns,
In formula, η is closes differential herringbone bear train transmission efficiency, and P is input power, L1Pass through differential stage planet for power flow
The power loss of wheel, L2Pass through the power loss of differential stage internal gear, L for power flow3Pass through the work(of enclosure class star-wheel for power flow
Rate is lost, L4Pass through the power loss of enclosure class internal gear for power flow.
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