CN108256232B - Method for calculating transmission efficiency of closed differential herringbone gear train - Google Patents
Method for calculating transmission efficiency of closed differential herringbone gear train Download PDFInfo
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- CN108256232B CN108256232B CN201810051833.9A CN201810051833A CN108256232B CN 108256232 B CN108256232 B CN 108256232B CN 201810051833 A CN201810051833 A CN 201810051833A CN 108256232 B CN108256232 B CN 108256232B
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Abstract
The invention discloses a method for calculating the transmission efficiency of a closed differential herringbone gear train, which comprises the following steps: s1, acquiring relevant data of the closed differential herringbone gear train; s2, calculating the transmission ratio of the closed-stage gear; s3, drawing a power flow diagram of the closed differential herringbone gear train and the conversion gear train when the meshing power loss is not considered; s4, calculating the shunt power; s5, calculating the power loss of the power flow; and S6, calculating the transmission efficiency of the closed differential herringbone gear train. The method can quickly and simply calculate the transmission efficiency of the closed differential herringbone gear train, and has the advantages of quickness, simplicity and convenience in calculation, high calculation efficiency and high accuracy.
Description
Technical Field
The invention relates to the technical field of gear train transmission systems, in particular to a method for calculating transmission efficiency of a closed differential herringbone gear train.
Background
The herringbone gear transmission system is an important component in mechanical transmission systems of ships and warships and the like, has the advantages of high efficiency, compact structure, reliable work and the like, and the dynamic characteristics of the herringbone gear transmission system directly influence the stability and reliability of the transmission system. Therefore, the research on the dynamic characteristics of the herringbone gear transmission system has important engineering significance.
The closed differential herringbone gear transmission system is a combined transmission mechanism of a closed differential planetary gear train of a star-shaped gear train. The closed differential herringbone gear train shares load and forms power split by using a plurality of planet wheels and star wheels, has the advantages of small volume, light weight, high bearing capacity and the like, and is widely applied to main reducers, hoisting mechanisms and power transmission systems of aero-engines. The transmission efficiency of the closed differential herringbone gear train is directly related to the performance and energy consumption of the device.
Although the existing gear train transmission efficiency calculation methods are more, the transmission efficiency calculation method for the closed differential herringbone gear train is still lacked.
Disclosure of Invention
Aiming at the defects of the prior art, the invention provides a method for calculating the transmission efficiency of a closed differential herringbone gear train, which can quickly, simply and conveniently calculate the transmission efficiency of the closed differential herringbone gear train.
The technical scheme adopted for solving the technical problems is as follows:
the structure of the closed differential herringbone gear train comprises a frame, a differential gear train and a closed gear train, wherein the differential gear train comprises 1 differential sun gear, n differential planet gears, 1 differential internal gear and 1 differential planet carrier, the closed gear train comprises 1 closed external gear, m closed star gears and 1 closed internal gear, the differential internal gear and the closed external gear are fixedly connected on the same shaft, and the differential planet carrier and the closed internal gear are fixedly connected on the same shaft, and the calculating method comprises the following steps:
s1, acquiring relevant data of the closed differential herringbone gear train;
s2, calculating the transmission ratio of the closed-stage gear;
s3, drawing a power flow diagram of the closed differential herringbone gear train and the conversion gear train when the meshing power loss is not considered;
s4, calculating the shunt power;
s5, calculating the power loss of the power flow;
and S6, calculating the transmission efficiency of the closed differential herringbone gear train.
As a possible implementation manner of this embodiment, in step S1, the relevant data of the closed differential herringbone gear train includes: number n of differential planet gears and number Z of closed external gear teeth1Closed stage internal gear tooth number Z2The number m of closed-stage star wheels, the input power P, and the meshing efficiency eta of the differential-stage sun wheel and the differential-stage planet wheel1Differential planet wheel and differential internal gear meshing efficiency eta2And the meshing efficiency eta of the closed-stage external gear and the closed-stage star wheel3And the meshing efficiency eta of the closed-stage star wheel and the closed-stage internal gear4。
As a possible implementation manner of this embodiment, the specific process of step S2 is: calculating a closed-stage gear transmission ratio i by using a closed-stage gear transmission ratio calculation formula shown in formula (1)12，
In the formula i12For closed-step gear ratios, z1For the number of teeth of the external gear of the closed stage, z2The number of teeth of the internal gear is closed stage.
As a possible implementation manner of this embodiment, the specific process of step S3 includes the following steps:
s31, adding an additional rotation which is equal to the angular speed of the differential stage planet carrier and opposite to the angular speed of the differential stage planet carrier to the closed differential herringbone gear train to obtain a conversion gear train, wherein a rack in the original closed differential herringbone gear train becomes a movable component of the conversion gear train, and a differential stage planet carrier and a closed stage internal gear in the original closed differential herringbone gear train become racks of the conversion gear train;
s32, drawing a power flow diagram of the closed differential herringbone gear train without considering meshing power loss: the members in the closed differential herringbone gear train are represented by Arabic numerals, and the input power is used
For symbol representation, output power
The symbols indicate that the power flow between the frame and the member connected to the frame via the kinematic pair is represented by a dashed line, the power value is 0, the power flow direction between the other members is represented by a solid line with arrows, the power flow values are marked on the solid line or the dashed line, the input power P flows through the differential sun gear, the differential planet gear, and the power split at the differential planet gearOne path of power is P-V, the path of power flows through a differential stage internal gear, a closed stage external gear, a closed stage star wheel and a closed stage internal gear, the other path of split power is V, the path of power flows through the closed stage internal gear, and the two paths of power converge at the closed stage internal gear to form power flow of a closed differential herringbone gear train;
s33, drawing a power flow diagram of the conversion gear train without considering the meshing power loss: the members in the conversion wheel train are represented by Arabic numerals, and the input power is represented by
For symbol representation, output power
The sign indicates that the power flow direction is indicated by a solid line with an arrow, the power flow between the frame and the component connected with the frame through the kinematic pair is indicated by a dashed line, the power value is 0, the power flow direction between other components is indicated by a solid line with an arrow, the power flow value is marked on the solid line or the dashed line, the input power P flows through the differential stage sun gear, the differential stage planet gear, the differential stage inner gear, the closed stage outer gear and the movable component of the conversion gear train to form the power flow of the conversion gear train.
As another possible implementation manner of this embodiment, in step S3, a specific process of drawing a power flow diagram of the closed differential herringbone gear train without considering the meshing power loss is as follows:
the members in the closed differential herringbone gear train are represented by Arabic numerals, and the input power is used
For symbol representation, output power
The symbols indicate that the power flow between the frame and the component connected with the frame through the kinematic pair is represented by a broken line, the power value is 0, the power flow direction between other components is represented by a solid line with an arrow, the power flow value is marked on the solid line or the broken line, and the power flow is inputThe power P flows through a differential stage sun gear and a differential stage planet gear, is divided at the differential stage planet gear, one path of power is P-V, the other path of power flows through a differential stage inner gear, a closed stage outer gear, a closed stage planet gear and a closed stage inner gear, the other path of divided power is V, the other path of power flows through the closed stage inner gear, and the two paths of power converge at the closed stage inner gear to form the power flow of the closed differential herringbone gear train.
As another possible implementation manner of this embodiment, in step S3, a specific process of drawing a power flow diagram of the conversion gear train without considering the meshing power loss is as follows:
adding an additional rotation which is equal to the angular speed of the differential stage planet carrier and opposite to the angular speed of the differential stage planet carrier to the closed differential herringbone gear train to obtain a conversion gear train, wherein a rack in the original closed differential herringbone gear train becomes a movable component of the conversion gear train, and a differential stage planet carrier and a closed stage internal gear in the original closed differential herringbone gear train become a rack of the conversion gear train;
the members in the conversion wheel train are represented by Arabic numerals, and the input power is represented by
For symbol representation, output power
The sign indicates that the power flow direction is indicated by a solid line with an arrow, the power flow between the frame and the component connected with the frame through the kinematic pair is indicated by a dashed line, the power value is 0, the power flow direction between other components is indicated by a solid line with an arrow, the power flow value is marked on the solid line or the dashed line, the input power P flows through the differential stage sun gear, the differential stage planet gear, the differential stage inner gear, the closed stage outer gear and the movable component of the conversion gear train to form the power flow of the conversion gear train.
As a possible implementation manner of this embodiment, the specific process of step S4 is:
the shunt power V is calculated by the virtual power ratio calculation formula shown in the formula (2),
where V is the split power, P is the input power, i12Is a closed-stage gear ratio.
As a possible implementation manner of this embodiment, the specific process of step S5 includes the following steps:
s51, calculating the power loss L of the power flow passing through the differential stage planet wheel by the first stage gear power loss calculation formula1；
S52, calculating the power loss L of the power flow passing through the differential stage internal gear by the power loss calculation formula of the second stage gear2；
S53, calculating the power loss L of the power flow passing through the closed-stage star wheel through a third-stage gear power loss calculation formula3；
S54, calculating the power loss L of the power flow passing through the closed-stage internal gear by the fourth-stage gear power loss calculation formula4。
As a possible implementation manner of this embodiment, the first-stage gear power loss calculation formula is:
L1＝P(1-η1 n) (3)
in the formula, L1For power loss of the power flow through the planet wheels of the differential stage, P is the input power, eta1The meshing efficiency of the differential stage sun gear and the differential stage planet gears is shown, and n is the number of the differential stage planet gears;
the calculation formula of the power loss of the second-stage gear is as follows:
L2＝(P-L1)(1-η2 n) (4)
in the formula, L2For the power loss of the power flow through the annulus of the differential stage, P is the input power, L1For the power loss of the power flow through the planet wheels of the differential stage, eta2The meshing efficiency of the differential planet gears and the differential internal gear is shown, and n is the number of the differential planet gears;
the third-stage gear power loss calculation formula is as follows:
L3＝(P-V-L1-L2)(1-η3 m) (5)
in the formula, L3For power loss of power flow through the closed-stage star wheel, P is input power, V is shunt power, and L1For the power loss of the power flow through the planet wheels of the differential stage, L2For power loss of power flow through the annulus of the differential stage, η3The meshing efficiency of the closed-stage external gear and the closed-stage star wheel is shown, and m is the number of the closed-stage star wheels;
the fourth-stage gear power loss calculation formula is as follows:
L4＝(P-V-L1-L2-L3)(1-η4 m) (6)
in the formula, L4For the power loss of the power flow through the closed-stage annulus, P is the input power, V is the shunt power, L1For the power loss of the power flow through the planet wheels of the differential stage, L2For the power flow through the power loss of the annulus gears of the differential stage, L3For power loss of the power flow through the closed-stage star wheel, eta4The meshing efficiency of the closed star wheels and the closed internal gears is high, and m is the number of the closed star wheels.
As a possible implementation manner of this embodiment, the specific process of step S6 is:
the transmission efficiency eta of the closed differential herringbone gear train is calculated by a calculation formula of the transmission efficiency of the closed differential herringbone gear train shown in the formula (7),
where eta is the transmission efficiency of the closed differential herringbone gear train, P is the input power, and L1For the power loss of the power flow through the planet wheels of the differential stage, L2For the power flow through the power loss of the annulus gears of the differential stage, L3For power loss of the power flow through the closed-stage star wheel, L4Is the power loss of the power flow through the annulus in the enclosed stage.
The technical scheme of the embodiment of the invention has the following beneficial effects:
according to the technical scheme of the embodiment of the invention, the method for calculating the transmission efficiency of the closed differential herringbone gear train calculates the transmission ratio of a closed gear according to the structure of the closed differential herringbone gear train, draws a power flow diagram of the closed differential herringbone gear train and a power flow diagram of a conversion gear train when the meshing power loss is not considered, calculates various power losses of a shunt power and a power flow passing through the gear, and finally obtains the transmission efficiency of the closed differential herringbone gear train. The method can quickly and simply calculate the transmission efficiency of the closed differential herringbone gear train, and has the advantages of quickness, simplicity and convenience in calculation, high calculation efficiency and high accuracy.
Drawings
FIG. 1 is a flow chart illustrating a method of calculating transmission efficiency of a closed differential herringbone gear train in accordance with an exemplary embodiment;
FIG. 2 is a transmission schematic of a closed differential herringbone gear train in accordance with an exemplary embodiment;
FIG. 3 is a schematic diagram illustrating a power flow diagram of a closed differential herringbone gear train without accounting for meshing power losses in accordance with an exemplary embodiment;
FIG. 4 is a schematic diagram illustrating a transition gear train power flow diagram without consideration of meshing power losses in accordance with an exemplary embodiment;
the symbols in fig. 2 and 3 represent: 1. the device comprises a frame, 2, a differential stage sun gear, 3, a differential stage planet gear, 4, a differential stage internal gear, 5, a differential stage planet carrier, 6, a closed stage external gear, 7, a closed stage planet gear, 8 and a closed stage internal gear;
the symbols in fig. 4 represent: 1 ', a movable member of a conversion gear train, 2, a differential stage sun gear, 3, a differential stage planet gear, 4, a differential stage inner gear, 5 ' and 8 ', a frame of the conversion gear train, 6, an enclosed stage outer gear, 7 and an enclosed stage planet gear.
Detailed Description
In order to clearly explain the technical features of the present invention, the following detailed description of the present invention is provided with reference to the accompanying drawings. The following disclosure provides many different embodiments, or examples, for implementing different features of the invention. To simplify the disclosure of the present invention, the components and arrangements of specific examples are described below. Furthermore, the present invention may repeat reference numerals and/or letters in the various examples. This repetition is for the purpose of simplicity and clarity and does not in itself dictate a relationship between the various embodiments and/or configurations discussed. It should be noted that the components illustrated in the figures are not necessarily drawn to scale. Descriptions of well-known components and processing techniques and procedures are omitted so as to not unnecessarily limit the invention.
As shown in fig. 2, the structure of the closed differential herringbone gear train includes a frame 1, a differential gear train and a closed gear train, the differential gear train includes 1 differential sun gear 2, n differential planet gears 3, 1 differential internal gear 4 and 1 differential planet carrier 5, the closed gear train includes 1 closed external gear 6, m closed star gears 7 and 1 closed internal gear 8, the differential internal gear 4 and the closed external gear 6 are fixedly connected on the same shaft, and the differential planet carrier 5 and the closed internal gear 8 are fixedly connected on the same shaft. Aiming at the structure of the closed differential herringbone gear train, the invention provides a method for calculating the transmission efficiency of the closed differential herringbone gear train, which comprises the following steps as shown in figure 1: s1, acquiring relevant data of the closed differential herringbone gear train; s2, calculating the transmission ratio of the closed-stage gear; s3, drawing a power flow diagram of the closed differential herringbone gear train and the conversion gear train when the meshing power loss is not considered; s4, calculating the shunt power; s5, calculating the power loss of the power flow; and S6, calculating the transmission efficiency of the closed differential herringbone gear train.
Example 1
The embodiment of the invention provides a method for calculating the transmission efficiency of a closed differential herringbone gear train, which comprises the following steps:
TABLE 1
TABLE 2
Step 2: using the closed-step external gear tooth number Z in step 11Number of teeth Z of internal gear of closed stage2Calculating the closed-stage gear transmission ratio i by using a closed-stage gear transmission ratio calculation formula shown in formula (1)12，
In the formula i12For closed-step gear ratios, z1For the number of teeth of the external gear of the closed stage, z2The number of teeth of the internal gear is closed stage.
And step 3: an additional rotation which is equal to the angular speed of the differential stage planet carrier and opposite to the angular speed is added to the closed differential herringbone gear train to obtain a conversion gear train, a frame in the original closed differential herringbone gear train becomes a movable member of the conversion gear train, and a differential stage planet carrier and a closed stage internal gear in the original closed differential herringbone gear train form the frame of the conversion gear train.
And 4, step 4: drawing a power flow diagram of a closed differential herringbone gear train without considering the meshing power loss, wherein the components in the closed differential herringbone gear train are represented by Arabic numerals, and the input power is used
For symbol representation, output power
Symbolically, the power flow between the frame and the component connected with the frame through the kinematic pair is represented by a dashed line, the power value is 0, the power flow direction between other components is represented by a solid line with an arrow, the power flow value is marked on the solid line or the dashed line, the input power P flows through the differential sun gear, the differential planet gear and is split at the differential planet gear, one path of power is P-V, the path of power flows through the differential inner gear, the closed outer gear, the closed planet gear and the closed inner gear, the other path of split power is V, the path of power flows through the closed inner gear, the two paths of power are converged at the closed inner gear to form the power flow of the closed differential herringbone gear train, the power flow diagram of the closed differential herringbone gear train without considering the meshing power loss is shown in fig. 3, and the symbols in fig. 3 represent that: 1. the planetary gear type planetary gear transmission mechanism comprises a frame, 2, a differential stage sun gear, 3, a differential stage planetary gear, 4, a differential stage inner gear, 5, a differential stage planetary gear frame, 6, a closed stage outer gear, 7, a closed stage planetary gear, 8 and a closed stage inner gear.
And 5: drawing a power flow diagram of a conversion gear train without considering the meshing power loss, wherein the components in the conversion gear train are represented by Arabic numerals, and the input power is represented by
For symbol representation, output power
The sign indicates that the power flow direction is indicated by a solid line with an arrow, the power flow between the frame and the component connected with the frame through the kinematic pair is indicated by a dashed line, the power value is 0, the power flow direction between other components is indicated by a solid line with an arrow, the power flow value is marked on the solid line or the dashed line, the input power P flows through the differential stage sun gear, the differential stage planet gear, the differential stage inner gear, the closed stage outer gear and the movable component obtained in the step 3 to form the power flow of the conversion gear train, and the power flow is not formedThe power flow diagram of the conversion gear train when the meshing power loss is considered is shown in FIG. 4, and symbols in FIG. 4 represent that: 1 ', a movable member of a conversion gear train, 2, a differential stage sun gear, 3, a differential stage planet gear, 4, a differential stage inner gear, 5 ' and 8 ', a frame of the conversion gear train, 6, an enclosed stage outer gear, 7 and an enclosed stage planet gear.
Step 6: using the input power P in step 1 and the closed step gear ratio i calculated in step 212The shunt power V is calculated by the virtual power ratio calculation formula shown in the formula (2),
where V is the split power, P is the input power, i12Is a closed-stage gear ratio.
And 7: using the meshing efficiency eta of the differential stage sun wheel and the differential stage planet wheel in the step 11The input power P and the number n of the differential stage planet wheels are calculated through a first stage gear power loss calculation formula to obtain the power loss L of the power flow passing through the differential stage planet wheels1The first-stage gear power loss calculation formula is as follows:
L1＝P(1-η1 n) (3)
in the formula, L1For power loss of the power flow through the planet wheels of the differential stage, P is the input power, eta1The meshing efficiency of the differential stage sun gear and the differential stage planet gears is shown, and n is the number of the differential stage planet gears.
And 8: using the meshing efficiency eta of the differential planet wheel and the differential internal gear in the step 12Input power P, number n of differential stage planetary wheels and power loss L of power flow through differential stage planetary wheels calculated in step 71Calculating the power loss L of the power flow passing through the differential stage internal gear by a second stage gear power loss calculation formula2，
The calculation formula of the power loss of the second-stage gear is as follows:
L2＝(P-L1)(1-η2 n) (4)
in the formula, L2For the power loss of the power flow through the annulus of the differential stage, P is the input power, L1For the power loss of the power flow through the planet wheels of the differential stage, eta2The meshing efficiency of the differential planet gears and the differential internal gear is shown, and n is the number of the differential planet gears.
And step 9: using the meshing efficiency eta of the closed-stage external gear and the closed-stage star gear in the step 13Input power P, the number m of closed-stage planetary wheels, the shunt power V calculated in the step 6 and the power loss L of the power flow passing through the differential-stage planetary wheels calculated in the step 71And the power loss L of the power flow calculated in step 8 through the annulus gear of the differential stage2Calculating the power loss L of the power flow passing through the closed star wheel by a third-stage gear power loss calculation formula3，
The third-stage gear power loss calculation formula is as follows:
L3＝(P-V-L1-L2)(1-η3 m) (5)
in the formula, L3For power loss of power flow through the closed-stage star wheel, P is input power, V is shunt power, and L1For the power loss of the power flow through the planet wheels of the differential stage, L2For power loss of power flow through the annulus of the differential stage, η3The meshing efficiency of the closed-stage external gears and the closed-stage star wheels is high, and m is the number of the closed-stage star wheels.
Step 10: using the meshing efficiency eta of the closed-stage star wheel and the closed-stage internal gear in the step 14Input power P, the number m of closed-stage planetary wheels, the shunt power V calculated in the step 6 and the power loss L of the power flow passing through the differential-stage planetary wheels calculated in the step 71 Step 8, the power loss L of the power flow calculated in the differential stage internal gear2And the power loss L of the power flow through the closed-stage star wheel calculated in step 93Calculating the power loss L of the power flow passing through the closed-stage internal gear by a fourth-stage gear power loss calculation formula4，
The fourth-stage gear power loss calculation formula is as follows:
L4＝(P-V-L1-L2-L3)(1-η4 m) (6)
in the formula, L4For the power loss of the power flow through the closed-stage annulus, P is the input power, V is the shunt power, L1For the power loss of the power flow through the planet wheels of the differential stage, L2For the power flow through the power loss of the annulus gears of the differential stage, L3For power loss of the power flow through the closed-stage star wheel, eta4The meshing efficiency of the closed star wheels and the closed internal gears is high, and m is the number of the closed star wheels.
Step 11: using the input power P in step 1 and the power loss L of the power flow through the planet wheel of the differential stage calculated in step 71 Step 8, the power loss L of the power flow calculated in the differential stage internal gear2Step 9. the power loss L of the power flow through the closed star wheel calculated in step 93And the power loss L of the power flow through the closed-stage annulus gear calculated in step 104The transmission efficiency eta of the closed differential herringbone gear train is calculated by a calculation formula of the transmission efficiency of the closed differential herringbone gear train shown in the formula (7),
where eta is the transmission efficiency of the closed differential herringbone gear train, P is the input power, and L1For the power loss of the power flow through the planet wheels of the differential stage, L2For the power flow through the power loss of the annulus gears of the differential stage, L3For power loss of the power flow through the closed-stage star wheel, L4Is the power loss of the power flow through the annulus in the enclosed stage.
Closed stage gear ratio i12Split power V, power loss L of power flow through differential stage planet wheel1Power flow through the power loss L of the annulus gear of the differential stage2Power loss L of power flow passing through closed-stage star wheel3Power flow through the power loss L of the closed-stage annulus gear4And sealing the containerThe calculation results of the transmission efficiency η of the differential herringbone gear train are shown in table 3.
TABLE 3
According to the structure of the closed differential herringbone gear train, the transmission ratio of the closed gear is calculated, a power flow diagram of the closed differential herringbone gear train and a power flow diagram of the conversion gear train are drawn without considering the meshing power loss, various power losses of the split power and the power flow passing through the gear are calculated, and finally the transmission efficiency of the closed differential herringbone gear train is obtained. The method can quickly and simply calculate the transmission efficiency of the closed differential herringbone gear train, is quick and simple in calculation, high in calculation efficiency and accuracy, and has obvious beneficial effects of implementation.
Example 2
Different from the embodiment 1, different implementation schemes are adopted in the process of drawing the power flow diagram of the closed differential herringbone gear train and the conversion gear train when the meshing power loss is not considered. In this embodiment, the process of drawing the power flow diagram of the closed differential herringbone gear train without considering the meshing power loss and the process of drawing the power flow diagram of the conversion gear train without considering the meshing power loss are independently completed, and are not in sequence, and specifically embodied as follows:
(1) the specific process of drawing the power flow diagram of the closed differential herringbone gear train without considering the meshing power loss is as follows: the members in the closed differential herringbone gear train are represented by Arabic numerals, and the input power is used
For symbol representation, output power
The symbols indicate that the power flow between the frame and the component connected to the frame via the kinematic pair is indicated by a dashed line, the power value is 0, the direction of the power flow between the other components is indicated by a solid line with arrows, and the power flowThe value is marked on a solid line or a dotted line, the input power P flows through a differential stage sun gear and a differential stage planet gear, the input power P is divided at the differential stage planet gear, one path of power is P-V, the path of power flows through a differential stage inner gear, a closed stage outer gear, a closed stage star gear and a closed stage inner gear, the other path of divided power is V, the path of power flows through a closed stage inner gear, and the two paths of power are converged at the closed stage inner gear to form the power flow of a closed differential herringbone gear train.
(2) The specific process of drawing the power flow diagram of the conversion gear train without considering the meshing power loss is as follows:
adding an additional rotation which is equal to the angular speed of the differential stage planet carrier and opposite to the angular speed of the differential stage planet carrier to the closed differential herringbone gear train to obtain a conversion gear train, wherein a rack in the original closed differential herringbone gear train becomes a movable component of the conversion gear train, and a differential stage planet carrier and a closed stage internal gear in the original closed differential herringbone gear train become a rack of the conversion gear train;
the members in the conversion wheel train are represented by Arabic numerals, and the input power is represented by
For symbol representation, output power
The sign indicates that the power flow direction is indicated by a solid line with an arrow, the power flow between the frame and the component connected with the frame through the kinematic pair is indicated by a dashed line, the power value is 0, the power flow direction between other components is indicated by a solid line with an arrow, the power flow value is marked on the solid line or the dashed line, the input power P flows through the differential stage sun gear, the differential stage planet gear, the differential stage inner gear, the closed stage outer gear and the movable component of the conversion gear train to form the power flow of the conversion gear train.
Compared with the steps 3 to 5 in the embodiment 1, the embodiment 2 embodies flexible algorithm design, independently completes the power flow diagram of the closed differential herringbone gear train and the power flow diagram of the conversion gear train when the meshing power loss is not considered, does not have the sequence, can simultaneously execute the operation, and not only has flexible design, but also provides the calculation efficiency.
The foregoing is only a preferred embodiment of the present invention, and it will be apparent to those skilled in the art that various modifications and improvements can be made without departing from the principle of the invention, and such modifications and improvements are also considered to be within the scope of the invention.
Claims (9)
1. A method for calculating transmission efficiency of a closed differential herringbone gear train comprises the following steps:
s1, acquiring relevant data of the closed differential herringbone gear train;
s2, calculating the transmission ratio of the closed-stage gear;
s3, drawing a power flow diagram of the closed differential herringbone gear train and the conversion gear train when the meshing power loss is not considered;
s4, calculating the shunt power;
s5, calculating the power loss of the power flow;
s6, calculating the transmission efficiency of the closed differential herringbone gear train;
the specific process of step S3 includes the following steps:
s31, adding an additional rotation which is equal to the angular speed of the differential stage planet carrier and opposite to the angular speed of the differential stage planet carrier to the closed differential herringbone gear train to obtain a conversion gear train, wherein a rack in the original closed differential herringbone gear train becomes a movable component of the conversion gear train, and a differential stage planet carrier and a closed stage internal gear in the original closed differential herringbone gear train become racks of the conversion gear train;
s32, drawing closed without considering meshing power lossDifferential herringbone gear train power flow diagram: components in the closed differential herringbone gear train are indicated by Arabic numerals, input power is indicated by [ [ alpha ] ] symbols, and output power is indicated by [ [ alpha ] ]
The symbol indicates that the power flow between the frame and the component connected with the frame through the kinematic pair is represented by a dotted line, the power value is 0, the power flow direction between other components is represented by a solid line with an arrow, the power flow value is marked on the solid line or the dotted line, the input power P flows through a differential stage sun gear and a differential stage planet gear and is divided at the differential stage planet gear, one path of power is P-V, the path of power flows through a differential stage inner gear, a closed stage outer gear, a closed stage planet gear and a closed stage inner gear, the other path of divided power is V, the path of power flows through a closed stage inner gear, and the two paths of power are converged at the closed stage inner gear to form the power flow of the closed differential herringbone gear train;
s33, drawing a power flow diagram of the conversion gear train without considering the meshing power loss: components in the conversion wheel train are represented by Arabic numerals, input power is represented by an [ ] symbol, and output power is represented by [ ] symbol
The sign indicates that the power flow direction is indicated by a solid line with an arrow, the power flow between the frame and the component connected with the frame through the kinematic pair is indicated by a dashed line, the power value is 0, the power flow direction between other components is indicated by a solid line with an arrow, the power flow value is marked on the solid line or the dashed line, the input power P flows through the differential stage sun gear, the differential stage planet gear, the differential stage inner gear, the closed stage outer gear and the movable component of the conversion gear train to form the power flow of the conversion gear train.
2. The method of claim 1 wherein the data relating to said closed differential herringbone gear train in step S1 includes: number n of differential planet gears and number Z of closed external gear teeth1And sealing the containerNumber of teeth Z of stage internal gear2The number m of closed-stage star wheels, the input power P, and the meshing efficiency eta of the differential-stage sun wheel and the differential-stage planet wheel1Differential planet wheel and differential internal gear meshing efficiency eta2And the meshing efficiency eta of the closed-stage external gear and the closed-stage star wheel3And the meshing efficiency eta of the closed-stage star wheel and the closed-stage internal gear4。
3. The method for calculating the transmission efficiency of a closed differential herringbone gear train as claimed in claim 1, wherein the specific process of the step S2 is as follows: calculating a closed-stage gear transmission ratio i by using a closed-stage gear transmission ratio calculation formula shown in formula (1)12，
In the formula i12For closed-step gear ratios, z1For the number of teeth of the external gear of the closed stage, z2The number of teeth of the internal gear is closed stage.
4. The method for calculating the transmission efficiency of the closed differential herringbone gear train as claimed in claim 1, wherein in the step S3, the specific process of drawing the power flow diagram of the closed differential herringbone gear train without considering the meshing power loss is as follows:
components in the closed differential herringbone gear train are indicated by Arabic numerals, input power is indicated by [ [ alpha ] ] symbols, and output power is indicated by [ [ alpha ] ]
The symbols indicate that the power flow between the frame and the component connected with the frame through the kinematic pair is represented by a dotted line, the power value is 0, the power flow direction between other components is represented by a solid line with an arrow, the power flow value is marked on the solid line or the dotted line, the input power P flows through a differential stage sun gear, a differential stage planet gear and is divided at the differential stage planet gear, one path of power is P-V, and the path of power flows through a differential stage inner gearThe power of the other branch is V, the branch flows through the closed-stage internal gear, and the two paths of power converge at the closed-stage internal gear to form the power flow of the closed differential herringbone gear train.
5. The method for calculating the transmission efficiency of a closed differential herringbone gear train as claimed in claim 1, wherein in step S3, the specific process of drawing a power flow diagram of the inverted gear train without considering the meshing power loss is as follows:
adding an additional rotation which is equal to the angular speed of the differential stage planet carrier and opposite to the angular speed of the differential stage planet carrier to the closed differential herringbone gear train to obtain a conversion gear train, wherein a rack in the original closed differential herringbone gear train becomes a movable component of the conversion gear train, and a differential stage planet carrier and a closed stage internal gear in the original closed differential herringbone gear train become a rack of the conversion gear train;
components in the conversion wheel train are represented by Arabic numerals, input power is represented by an [ ] symbol, and output power is represented by [ ] symbol
The sign indicates that the power flow direction is indicated by a solid line with an arrow, the power flow between the frame and the component connected with the frame through the kinematic pair is indicated by a dashed line, the power value is 0, the power flow direction between other components is indicated by a solid line with an arrow, the power flow value is marked on the solid line or the dashed line, the input power P flows through the differential stage sun gear, the differential stage planet gear, the differential stage inner gear, the closed stage outer gear and the movable component of the conversion gear train to form the power flow of the conversion gear train.
6. The method for calculating the transmission efficiency of a closed differential herringbone gear train as claimed in claim 1, wherein the specific process of the step S4 is as follows:
the shunt power V is calculated by the virtual power ratio calculation formula shown in the formula (2),
where V is the split power, P is the input power, i12Is a closed-stage gear ratio.
7. The method for calculating the transmission efficiency of a closed differential herringbone gear train as claimed in claim 1, wherein the specific process of the step S5 comprises the steps of:
s51, calculating the power loss L of the power flow passing through the differential stage planet wheel by the first stage gear power loss calculation formula1；
S52, calculating the power loss L of the power flow passing through the differential stage internal gear by the power loss calculation formula of the second stage gear2；
S53, calculating the power loss L of the power flow passing through the closed-stage star wheel through a third-stage gear power loss calculation formula3；
S54, calculating the power loss L of the power flow passing through the closed-stage internal gear by the fourth-stage gear power loss calculation formula4。
8. A method of calculating the transmission efficiency of a closed differential herringbone gear train as claimed in claim 7,
the first-stage gear power loss calculation formula is as follows:
L1＝P(1-η1 n) (3)
in the formula, L1For power loss of the power flow through the planet wheels of the differential stage, P is the input power, eta1The meshing efficiency of the differential stage sun gear and the differential stage planet gears is shown, and n is the number of the differential stage planet gears;
the calculation formula of the power loss of the second-stage gear is as follows:
L2＝(P-L1)(1-η2 n) (4)
in the formula, L2For power flow through annulus gears of differential stagePower loss, P is input power, L1For the power loss of the power flow through the planet wheels of the differential stage, eta2The meshing efficiency of the differential planet gears and the differential internal gear is shown, and n is the number of the differential planet gears;
the third-stage gear power loss calculation formula is as follows:
L3＝(P-V-L1-L2)(1-η3 m) (5)
in the formula, L3For power loss of power flow through the closed-stage star wheel, P is input power, V is shunt power, and L1For the power loss of the power flow through the planet wheels of the differential stage, L2For power loss of power flow through the annulus of the differential stage, η3The meshing efficiency of the closed-stage external gear and the closed-stage star wheel is shown, and m is the number of the closed-stage star wheels;
the fourth-stage gear power loss calculation formula is as follows:
L4＝(P-V-L1-L2-L3)(1-η4 m) (6)
in the formula, L4For the power loss of the power flow through the closed-stage annulus, P is the input power, V is the shunt power, L1For the power loss of the power flow through the planet wheels of the differential stage, L2For the power flow through the power loss of the annulus gears of the differential stage, L3For power loss of the power flow through the closed-stage star wheel, eta4The meshing efficiency of the closed star wheels and the closed internal gears is high, and m is the number of the closed star wheels.
9. The method for calculating the transmission efficiency of a closed differential herringbone gear train as claimed in claim 1, wherein the specific process of the step S6 is as follows:
the transmission efficiency eta of the closed differential herringbone gear train is calculated by a calculation formula of the transmission efficiency of the closed differential herringbone gear train shown in the formula (7),
where eta is the transmission efficiency of the closed differential herringbone gear train, P is the input power, and L1For the power loss of the power flow through the planet wheels of the differential stage, L2For the power flow through the power loss of the annulus gears of the differential stage, L3For power loss of the power flow through the closed-stage star wheel, L4Is the power loss of the power flow through the annulus in the enclosed stage.
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