CN108875272A - A kind of calculation method of planetary gear train transmission efficiency - Google Patents
A kind of calculation method of planetary gear train transmission efficiency Download PDFInfo
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Abstract
The invention discloses a kind of calculation methods of planetary gear train transmission efficiency, it includes the following steps：S1 obtains the related data of planetary gear train；S2 calculates the transmission ratio of planet carrier and planetary gear；S3 draws the power flow chart of planetary gear train；S4 draws the power flow chart of change train；S5 calculates the input power of power loss and change train of the power flow Jing Guo gear pair；S6 calculates the transmission efficiency of planetary gear train.The present invention can fast and convenient calculating planetary gear train transmission efficiency, calculation method is simple, substantially increases 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 meter of planetary gear train transmission efficiency
Calculation method.
Background technique
Planetary gear train has many advantages, such as that small in size, compact-sized and bearing capacity is high, be widely used in aero-engine,
In the transmission devices such as handling equipment and Petro-Chemical Machinery.Improve the transmission that planetary gear train transmission efficiency is able to ascend product
Performance.Therefore, carrying out the research of planetary gear train transmission efficiency has important engineering significance.
Although the calculation method of planetary gear train transmission efficiency is more, current method is largely relatively complicated and complicated.
Summary of the invention
It in view of the deficiencies of the prior art, can be fast the invention proposes a kind of calculation method of planetary gear train transmission efficiency
Speed easily calculates planetary gear train transmission efficiency.
The present invention solves its technical problem and adopts the technical scheme that：
A kind of calculation method of planetary gear train transmission efficiency provided in an embodiment of the present invention, the structure packet of the planetary gear train
Including rack, centre wheel one, centre wheel two, planetary gear one, planetary gear two and planet carrier, planetary gear one and planetary gear two are connected in together
On one axis, centre wheel two is fixed together with rack, characterized in that the calculation method includes the following steps：
S1 obtains the related data of planetary gear train；
S2 calculates the transmission ratio of planet carrier and planetary gear；
S3 draws the power flow chart of planetary gear train；
S4 draws the power flow chart of change train；
S5 calculates the input power of power loss and change train of the power flow Jing Guo gear pair；
S6 calculates the transmission efficiency of planetary gear train.
As a kind of possible implementation of the present embodiment, in step sl, the related data of the planetary gear train includes：
Two tooth number Z of planetary gear3, two tooth number Z of centre wheel4, input power P, centre wheel one and planetary gear one gear pair that forms engage effect
Rate η1, the meshing efficiency η of gear pair that forms of planetary gear two and centre wheel two2。
As a kind of possible implementation of the present embodiment, the detailed process of the step S2 is：By shown in formula (1)
Planet carrier and planet gear transmission ratio i is calculated than calculation formula in planet carrier and planet gear transmissionH2,
In formula, iH2For planet carrier and planet gear transmission ratio, Z3For two number of teeth of planetary gear, Z4Centered on take turns two numbers of teeth.
As a kind of possible implementation of the present embodiment, in step s3, the specific of planetary gear train power flow chart is drawn
Process is：
Component in planetary gear train indicates that gear pair is used with Arabic numeralsWithSymbol indicates that power flow valuve is not
Power flow direction between 0 component indicates that power flow valuve is labeled on solid line with solid line with the arrow, and power flow valuve is
Connected between 0 component with solid line, 0 value is labeled on solid line, input power pass through centre wheel one, by centre wheel one with
The gear pair that planetary gear one forms is punished at planetary gear one (planetary gear two) and is flowed, all the way function by planetary gear one (planetary gear two)
The gear pair that rate stream is formed by planetary gear two and centre wheel two, another way power flow pass through planet carrier, output planetary train, most
End form is at planetary gear train power flow.
As a kind of possible implementation of the present embodiment, the detailed process of the step S4 includes the following steps：
S41 is turned plus one with planet carrier angular speed contrary additional rotation equal in magnitude to planetary gear train
Change train, the rack in protoplanet train becomes the movable part of change train, and the planet carrier in protoplanet train becomes conversion
The rack of train；
S42 draws the power flow chart of change train：Component in change train indicates that gear pair is used with Arabic numeralsWithSymbol indicates that power flow valuve is not that the power flow direction between 0 component is indicated with solid line with the arrow, power flow
Value is labeled on solid line, is connected between the component that power flow valuve is 0 with solid line, 0 value is labeled on solid line, input work
Rate passes through centre wheel one, passes through by the gear pair that centre wheel one and planetary gear one form by planetary gear one (planetary gear two)
The gear pair that planetary gear two and centre wheel two form exports change train, ultimately forms change train power by centre wheel two
Stream.
As a kind of possible implementation of the present embodiment, in step s 5, the power that power flow passes through gear pair is calculated
Loss and the detailed process of the input power of change train are：
Pass through first order gear pair power loss calculation formula, second level gear pair power loss calculation formula and conversion wheel
It is the power loss that the gear pair that power flow is formed by centre wheel one and planetary gear one is calculated in input power calculation formula
L1, the power loss L of gear pair that is formed by planetary gear two and centre wheel two of power flow2, change train input power PH。
As a kind of possible implementation of the present embodiment, the first order gear pair power loss calculation formula is：
L1=(1- η1)PH (2)
In formula, L1For the power loss for the gear pair that power flow is formed by centre wheel one and planetary gear one, PHFor conversion wheel
The input power of system, η1Centered on wheel one with planetary gear one form gear pair meshing efficiency；
The second level gear pair power loss calculation formula is：
L2=η1(1-η2)PH (3)
In formula, L2For the power loss for the gear pair that power flow is formed by planetary gear two and centre wheel two, PHFor conversion wheel
The input power of system, η1Centered on wheel one with planetary gear one form gear pair meshing efficiency, η2For planetary gear two and centre wheel
The meshing efficiency of the gear pair of two compositions；
The change train input power calculation formula is：
PH=(1-iH2)(P-L1-L2)+L1 (4)
In formula, PHFor the input power of change train, iH2For planet carrier and planet gear transmission ratio, L1For in power flow process
The power loss for the gear pair that heart wheel one and planetary gear one form, L2It is formed for power flow by planetary gear two and centre wheel two
The power loss of gear pair.
As a kind of possible implementation of the present embodiment, the detailed process of the step S6 is：
The transmission efficiency η of planetary gear train is calculated by planetary gear train transmission efficiency calculation formula shown in formula (5),
In formula, η is the transmission efficiency of planetary gear train, and P is input power, L1Pass through centre wheel one and planetary gear for power flow
The power loss of the gear pair of one composition, L2For the power damage for the gear pair that power flow is formed by planetary gear two and centre wheel two
It loses.
What the technical solution of the embodiment of the present invention can have has the beneficial effect that：
The calculation method of a kind of planetary gear train transmission efficiency of technical solution of the embodiment of the present invention, according to the knot of planetary gear train
Structure calculates the transmission ratio of planet carrier and planetary gear, draws the power flow chart of planetary gear train, draw the power flow chart of change train,
The input power for calculating power loss and change train of the power flow Jing Guo gear pair, calculates the transmission efficiency of planetary gear train.This
Invention can fast and convenient calculating planetary gear train transmission efficiency, calculation method is simple, substantially increases the efficiency and accuracy of calculating.
Detailed description of the invention
Fig. 1 is a kind of flow chart of the calculation method of planetary gear train transmission efficiency shown according to an exemplary embodiment；
Fig. 2 is a kind of transmission principle figure of planetary gear train shown according to an exemplary embodiment；
Fig. 3 is a kind of schematic diagram of planetary gear train power flow chart shown according to an exemplary embodiment；
Fig. 4 is a kind of schematic diagram of change train power flow chart shown according to an exemplary embodiment；
Symbol indicates in Fig. 2：1, centre wheel one, 2, planetary gear one, 3, planetary gear two, 4, centre wheel two, 5, rack, H, row
Carrier；
Symbol indicates in Fig. 3 and Fig. 4：1, centre wheel one, 2, planetary gear one, 3, planetary gear two, 4, centre wheel two, H, planet
Frame,The gear pair that centre wheel one and planetary gear one form,The gear pair that planetary gear two and centre wheel two form.
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 to realize different knots of the 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 planetary gear train include centre wheel 1, planetary gear 1, planetary gear 23, centre wheel 24,
Rack 5 and planet carrier H, planetary gear 1 and planetary gear 23 are connected on the same axis, and centre wheel 24 is fixed together with rack 5.
For the structure of above-mentioned planetary gear train, the present invention provides a kind of calculation methods of planetary gear train transmission efficiency, such as
Shown in Fig. 1, it includes the following steps：S1 obtains the related data of planetary gear train；S2 calculates the transmission of planet carrier and planetary gear
Than；S3 draws the power flow chart of planetary gear train；S4 draws the power flow chart of change train；S5 calculates power flow and passes through gear
The input power of secondary power loss and change train；S6 calculates the transmission efficiency of planetary gear train.
A kind of calculation method of planetary gear train transmission efficiency provided in an embodiment of the present invention, specific implementation process include with
Lower step：
Step 1, the related data of planetary gear train is obtained：Two tooth number Z of planetary gear3, two tooth number Z of centre wheel4, input power P,
The meshing efficiency η for the gear pair that centre wheel one and planetary gear one form1, planetary gear two gear pair that forms with centre wheel two nibbles
Close efficiency eta2, as shown in table 1.
Table 1
Step 2：Use two tooth number Z of planetary gear in step 13, two tooth number Z of centre wheel4, pass through planet carrier shown in formula (1)
The transmission ratio i of planet carrier and planetary gear is calculated with the gear ratio calculation formula of planetary gearH2,
In formula, iH2For the transmission ratio of planet carrier and planetary gear, Z3For two number of teeth of planetary gear, Z4Centered on take turns two numbers of teeth.
Step 3：Planetary gear train power flow chart is drawn, the component in planetary gear train indicates that gear pair is used with Arabic numeralsWithSymbol indicates that power flow valuve is not that the power flow direction between 0 component is indicated with solid line with the arrow, power flow
Value is labeled on solid line, is connected between the component that power flow valuve is 0 with solid line, 0 value is labeled on solid line, input work
Rate passes through centre wheel one, is expert at by the gear pair that centre wheel one and planetary gear one form by planetary gear one (planetary gear two)
Star-wheel one (planetary gear two) punishment stream, the gear pair that power flow is formed by planetary gear two and centre wheel two all the way, another way function
Rate stream passes through planet carrier, and output planetary train ultimately forms planetary gear train power flow, the power flow chart of planetary gear train such as Fig. 3 institute
Show, symbol indicates in Fig. 3：1, centre wheel one, 2, planetary gear one, 3, planetary gear two, 4, centre wheel two, H, planet carrier,In
The gear pair that heart wheel one and planetary gear one form,The gear pair that planetary gear two and centre wheel two form.
Step 4：It is obtained plus one with planet carrier angular speed contrary additional rotation equal in magnitude to planetary gear train
Change train, the rack in protoplanet train become the movable part of change train, and the planet carrier in protoplanet train, which becomes, to be turned
Change the rack of train.
Step 5：Change train power flow chart is drawn, the component in change train indicates that gear pair is used with Arabic numeralsWithSymbol indicates that power flow valuve is not that the power flow direction between 0 component is indicated with solid line with the arrow, power flow
Value is labeled on solid line, is connected between the component that power flow valuve is 0 with solid line, 0 value is labeled on solid line, input work
Rate passes through centre wheel one, passes through by the gear pair that centre wheel one and planetary gear one form by planetary gear one (planetary gear two)
The gear pair that planetary gear two and centre wheel two form exports change train, ultimately forms change train power by centre wheel two
Stream.Change train power flow chart is as shown in figure 4, symbol indicates in Fig. 4：1, centre wheel one, 2, planetary gear one, 3, planetary gear two,
4, centre wheel two, H, planet carrier,The gear pair that centre wheel one and planetary gear one form,Planetary gear two and centre wheel two
The gear pair of composition.
Step 6：Use the meshing efficiency η of the gear pair of centre wheel one and the composition of planetary gear one in step 11, planetary gear
The meshing efficiency η of two gear pairs formed with centre wheel two2, the transmission ratio i of the planet carrier and planetary gear that calculate in step 2H2, lead to
First order gear pair power loss calculation formula shown in formula (2) is crossed, second level gear pair power loss shown in formula (3) calculates
Power flow is calculated by centre wheel one and planetary gear one in change train input power calculation formula shown in formula and formula (4)
The power loss L of the gear pair of composition1, the power loss L of gear pair that is formed by planetary gear two and centre wheel two of power flow2、
The input power P of change trainH,
L1=(1- η1)PH (2)
In formula, L1For the power loss for the gear pair that power flow is formed by centre wheel one and planetary gear one, PHFor conversion wheel
The input power of system, η1Centered on wheel one with planetary gear one form gear pair meshing efficiency；
L2=η1(1-η2)PH (3)
In formula, L2For the power loss for the gear pair that power flow is formed by planetary gear two and centre wheel two, PHFor conversion wheel
The input power of system, η1Centered on wheel one with planetary gear one form gear pair meshing efficiency, η2For planetary gear two and centre wheel
The meshing efficiency of the gear pair of two compositions；
PH=(1-iH2)(P-L1-L2)+L1 (4)
In formula, PHFor the input power of change train, iH2For the transmission ratio of planet carrier and planetary gear, L1For power flow process
The power loss for the gear pair that centre wheel one and planetary gear one form, L2It is formed for power flow by planetary gear two and centre wheel two
Gear pair power loss.
Step 7：Using the power flow calculated in input power P in step 1, step 6 by centre wheel one and planetary gear one
The power loss L of the gear pair of composition1, the power loss L of gear pair that is formed by planetary gear two and centre wheel two of power flow2,
By planetary gear train transmission efficiency calculation formula shown in formula (5), the transmission efficiency η of planetary gear train is calculated,
In formula, η is the transmission efficiency of planetary gear train, and P is input power, L1Pass through centre wheel one and planetary gear for power flow
The power loss of the gear pair of one composition, L2For the power damage for the gear pair that power flow is formed by planetary gear two and centre wheel two
It loses.
The transmission ratio i of planet carrier and planetary gearH2, the function of gear pair that is formed by centre wheel one and planetary gear one of power flow
Rate loses L1, the power loss L of gear pair that is formed by planetary gear two and centre wheel two of power flow2, change train input work
Rate PH, planetary gear train transmission efficiency η calculated result it is as shown in table 2.
Table 2
The present invention calculates the transmission ratio of planet carrier and planetary gear, draws the function of planetary gear train according to the structure of planetary gear train
Rate flow graph draws the power flow chart of change train, calculates the input of power loss and change train of the power flow Jing Guo gear pair
Power calculates the transmission efficiency of planetary gear train.The present invention can fast and convenient calculating planetary gear train transmission efficiency, calculation method letter
It is single, the efficiency and accuracy of calculating are substantially increased, beneficial effects of its implementation are also obvious.
The above is the preferred embodiment of the present invention, for those skilled in the art,
Without departing from the principles of the invention, several improvements and modifications can also be made, these improvements and modifications are also regarded as this hair
Bright protection scope.
Claims (8)
1. a kind of calculation method of planetary gear train transmission efficiency, the structure of the planetary gear train includes rack, centre wheel one, center
Wheel two, planetary gear one, planetary gear two and planet carrier, planetary gear one and planetary gear two are connected on the same axis, centre wheel two and machine
Frame is fixed together, characterized in that the calculation method includes the following steps：
S1 obtains the related data of planetary gear train；
S2 calculates the transmission ratio of planet carrier and planetary gear；
S3 draws the power flow chart of planetary gear train；
S4 draws the power flow chart of change train；
S5 calculates the input power of power loss and change train of the power flow Jing Guo gear pair；
S6 calculates the transmission efficiency of planetary gear train.
2. a kind of calculation method of planetary gear train transmission efficiency as described in claim 1, characterized in that in step sl, institute
The related data for stating planetary gear train includes：Two tooth number Z of planetary gear3, two tooth number Z of centre wheel4, input power P, centre wheel one and row
The meshing efficiency η for the gear pair that star-wheel one forms1, the meshing efficiency η of gear pair that forms of planetary gear two and centre wheel two2。
3. a kind of calculation method of planetary gear train transmission efficiency as described in claim 1, characterized in that the tool of the step S2
Body process is：Planet carrier and planetary gear is calculated by the gear ratio calculation formula of planet carrier shown in formula (1) and planetary gear
Transmission ratio iH2,
In formula, iH2For the transmission ratio of planet carrier and planetary gear, Z3For two number of teeth of planetary gear, Z4Centered on take turns two numbers of teeth.
4. a kind of calculation method of planetary gear train transmission efficiency as described in claim 1, characterized in that in step s3, draw
The detailed process of planetary gear train power flow chart processed is：
Component in planetary gear train indicates that gear pair is used with Arabic numeralsWithSymbol indicates that power flow valuve is not 0 structure
Power flow direction between part indicates that power flow valuve is labeled on solid line with solid line with the arrow, the structure that power flow valuve is 0
It is connected between part with solid line, 0 value is labeled on solid line, and input power passes through centre wheel one, by centre wheel one and planet
The gear pair of one composition of wheel is punished at planetary gear one (planetary gear two) and is flowed, all the way power flow by planetary gear one (planetary gear two)
By the gear pair that planetary gear two and centre wheel two form, another way power flow passes through planet carrier, output planetary train, most end form
At planetary gear train power flow.
5. a kind of calculation method of planetary gear train transmission efficiency as described in claim 1, characterized in that the tool of the step S4
Body process includes the following steps：
S41 obtains conversion wheel with planet carrier angular speed contrary additional rotation equal in magnitude plus one to planetary gear train
It is that the rack in protoplanet train becomes the movable part of change train, the planet carrier in protoplanet train becomes change train
Rack；
S42 draws the power flow chart of change train：Component in change train indicates that gear pair is used with Arabic numeralsWithSymbol indicates that power flow valuve is not that the power flow direction between 0 component indicates that power flow valuve is in reality with solid line with the arrow
It is labeled on line, is connected between the component that power flow valuve is 0 with solid line, 0 value is labeled on solid line, and input power is passed through
Centre wheel one, by the gear pair that centre wheel one and planetary gear one form, by planetary gear one (planetary gear two), by planetary gear
Two gear pairs formed with centre wheel two export change train, ultimately form change train power flow by centre wheel two.
6. a kind of calculation method of planetary gear train transmission efficiency as described in claim 1, characterized in that
In step s 5, the detailed process of the input power of power loss and change train of the power flow Jing Guo gear pair is calculated
For：
It is defeated by first order gear pair power loss calculation formula, second level gear pair power loss calculation formula and change train
Enter the power loss L that the gear pair that power flow is formed by centre wheel one and planetary gear one is calculated in rating formula1, function
The power loss L for the gear pair that rate stream is formed by planetary gear two and centre wheel two2, change train input power PH。
7. a kind of calculation method of planetary gear train transmission efficiency as claimed in claim 6, characterized in that
The first order gear pair power loss calculation formula is：
L1=(1- η1)PH (2)
In formula, L1For the power loss for the gear pair that power flow is formed by centre wheel one and planetary gear one, PHFor change train
Input power, η1Centered on wheel one with planetary gear one form gear pair meshing efficiency；
The second level gear pair power loss calculation formula is：
L2=η1(1-η2)PH (3)
In formula, L2For the power loss for the gear pair that power flow is formed by planetary gear two and centre wheel two, PHFor change train
Input power, η1Centered on wheel one with planetary gear one form gear pair meshing efficiency, η2For planetary gear two and two groups of centre wheel
At gear pair meshing efficiency；
The change train input power calculation formula is：
pH=(1-iH2)(p-L1-L2)+L1 (4)
In formula, PHFor the input power of change train, iH2For the transmission ratio of planet carrier and planetary gear, L1It is power flow by center
The power loss for the gear pair that wheel one is formed with planetary gear one, L2The tooth formed for power flow by planetary gear two and centre wheel two
The power loss of wheel set.
8. a kind of calculation method of planetary gear train transmission efficiency as described in claim 1, characterized in that the tool of the step S6
Body process is：
The transmission efficiency η of planetary gear train is calculated by planetary gear train transmission efficiency calculation formula shown in formula (5),
In formula, η is the transmission efficiency of planetary gear train, and P is input power, L1It is power flow by centre wheel one and one group of planetary gear
At gear pair power loss, L2For the power loss for the gear pair that power flow is formed by planetary gear two and centre wheel two.
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