CN114970050B - Matrix-based vehicle planetary transmission device configuration design method - Google Patents
Matrix-based vehicle planetary transmission device configuration design method Download PDFInfo
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- CN114970050B CN114970050B CN202210881880.2A CN202210881880A CN114970050B CN 114970050 B CN114970050 B CN 114970050B CN 202210881880 A CN202210881880 A CN 202210881880A CN 114970050 B CN114970050 B CN 114970050B
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H57/00—General details of gearing
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Abstract
The invention relates to the technical field of transmission device configuration design, and discloses a matrix-based planetary transmission device configuration design method for a vehicle, which comprises a box body, an input shaft, an output shaft and a plurality of rows of planet rows, wherein the input shaft is arranged on the box body; the sun gear, planet carrier and the ring gear of every row planet row set up the transmission shaft respectively, and inseparable connection is inherent between each axle and the box and is connected for changeable between each axle that realizes through the shift element and separable connection between each axle and the box, and the step is: s1, initializing parameters according to the design requirements of the configuration of the planetary transmission device; s2, determining feasible inherent connection of the configuration of the planetary transmission device; s3, determining a feasible switchable connection of the planetary transmission device configuration; and S4, based on the determined feasible inherent connection and the feasible switchable connection, a feasible planetary transmission device configuration is obtained. The method is simple to operate and high in generation efficiency, and the generated planetary transmission device for the vehicle is high in safety performance.
Description
Technical Field
The invention belongs to the technical field of transmission device configuration design, and particularly relates to a matrix-based vehicle planetary transmission device configuration design method.
Background
Planetary transmissions are a common power transmission mechanism for vehicles, and more gears contribute to better power and economy, but as gears increase, the number of planetary rows and the number of shift elements also increase, thereby resulting in more complex configuration, and therefore, the design method of planetary transmissions for vehicles has been widely focused, for example: the Chinese invention patent applications with publication numbers CN105550429A and CN110276130A respectively carry out the design of the planetary transmission device based on the graph theory and the topological method. However, the above method is complicated, and the design process requires manual intervention, which requires high requirements for experience and knowledge reserves of designers, resulting in poor operability, and in addition, the above configuration method employs a large number of constraints, which results in a reduction in the number of configurations under the same design requirement, so that some configurations with excellent operation performance are overlooked.
In addition, the vehicle in the prior art is easy to be locked and run away in the running process.
Disclosure of Invention
In order to solve the defects of the prior art, the invention provides a matrix-based vehicle planetary transmission device configuration design method, the design process of the method is completely realized based on a matrix, the operation is simple, the configuration efficiency is high, and the obtained vehicle planetary transmission device configuration has strong safety performance.
The invention discloses a matrix-based design method for a vehicle planetary transmission device configuration, wherein the planetary transmission device configuration comprises a box body, an input shaft, an output shaft and a plurality of planet rows; each planet row comprises a sun gear, a planet carrier and a gear ring; the sun gear, the planet carrier and the gear ring of each planet row are respectively provided with a transmission shaft; inseparable connection between each axle and the box is inherent connection, and the separable connection between each axle that realizes through clutch and/or stopper and between each axle and the box is changeable connection, wherein, each axle is input shaft, output shaft or transmission shaft, includes the following step:
s1, initializing parameters according to design requirements of a planetary transmission device configuration, wherein the parameters comprise:
s1-1: determining the number of planetary rows, brakes, clutches, shift elements used per planetary gear closure and planetary gears;
s1-2: numbering the planet rows, the box body, the input shaft, the output shaft and the transmission shaft according to the number of the planet rows;
s1-3: defining a connection matrix M based on allowable connections between axes and the box C ；
S2, based on a connection matrix M C Obtaining a feasible intrinsic connection matrix M I ′ Determining possible inherent connections of the planetary transmission configuration;
s3, based on feasible inherent connection matrix M I ′ And performance requirements of the planetary transmission configuration, determining possible switchable connections of the planetary transmission configuration;
s4, determining the final possible planetary transmission configuration based on the possible inherent connections in S2 and the possible switchable connections in S3.
Further, S1 specifically includes the following steps:
s1-1: the number of the planet rows isn p The number of the brakes isn b The number of the clutches isn c The number of shift elements used per planetary gear set engaged isn s And the number of transmission gears isn g In whichn p 、n b 、n c 、n s Andn g is a positive integer and is a non-zero integer,n c +n b ≥n s ；
s1-2: the number of the planet row nearest to the input shaft is PG-1, and the number of the planet row nearest to the output shaft is PG-n p Other planets numbered from the input shaftIncrement to the output shaft: PG-2, PG-3, PG-4 … … PG-, (n p -1); the number of a box body is regulated to be 0, the numbers of an input shaft and an output shaft are regulated to be 1 and 2, the number of a transmission shaft of a sun gear of a planet row with the number of PG-1 is regulated to be 3, the numbers of the transmission shafts of the sun gear, the planet carrier and the gear ring of each planet row are sequentially increased by 1 according to the sequence of the sun gear, the planet carrier and the gear ring of the planet row, and the number of the transmission shaft of the sun gear of the next planet row is increased by 1 on the basis of the number of the transmission shaft of the gear ring of the previous planet row;
s1-3: the input shaft and the output shaft are not allowed to be directly connected with the box body, and the allowed connection between the shafts and the box body are obtained; defining a connection matrix M C : (1) Connection matrix M C The device comprises 2 rows which are composed of box numbers and shaft numbers, wherein each row represents a group of allowed connections; (2) Connection matrix M C The number of the first row of each column is less than that of the second row, and the matrix M is connected C The column in (1) includes all allowed connections.
Further, S2 specifically includes the following steps:
s2-1: based on the connection matrix M C The shown allowable connection does not allow the connection of 2 transmission shafts of the same planet row, and simultaneously does not allow the direct connection of an input shaft and an output shaft, so that the allowable inherent connection between the shafts and the box body are obtained; defining allowed intrinsic connection matrix M I : slave connection matrix M C Wherein the allowed columns satisfying the aforementioned allowed intrinsic connection conditions are randomly selected to constitute an allowed intrinsic connection matrix M I Number of selected columnsc I Comprises the following steps:
the number of columns obtained by the traversal method isc I All allowed intrinsic connection matrices M I ；
S2-2: solving shaft connection equivalent matrix M E Traverse each allowed intrinsic connection matrix M I Every two ofIn each check, if the two columns have the same number, the number of the right column is updated to the minimum 2 numbers in the two columns, and the steps are sequentially carried out in a circulating way to finally obtain each allowable inherent connection matrix M I Shaft connection equivalent matrix M E ；
S2-3: equivalent matrix M based on shaft connection E The check screens out inherent connection matrices that are not available for planetary transmission configurations.
Further, the step of screening out inherent connection matrices that are not available for planetary transmission configurations in S2-3 specifically comprises the steps of:
s2-31: checking whether any two of the input shaft, the output shaft and the box body are connected through the transmission shaft, if so, checking a corresponding allowable inherent connection matrix M I Is not feasible;
s2-32: checking whether the input shaft, the output shaft and the box body are connected to the same planet row, if so, corresponding allowable inherent connection matrix M I Is not feasible;
s2-33: checking whether any 2 transmission shafts of the same planet row are connected to the same shaft or box body, if so, corresponding allowable inherent connection matrix M I Is not feasible;
finally obtaining feasible intrinsic connection matrix M I ′ By means of a feasible intrinsic connection matrix M I ′ Possible inherent connections are defined.
Further, S3 specifically includes the following steps:
s3-1: based on feasible intrinsic connection matrix M I ′ Deleting the connection matrix M C Including the columns of the isomorphic scheme, to obtain a processed connection matrix M C2 ；
S3-2: according to the design requirements of the planetary transmission device configuration, the processed connection matrix M C2 In the random selectionn b A column representing the connection using the brake andn c columns representing connections using clutches, constituting a switchable connection matrix M which is usable S (ii) a If a predetermined number of columns cannot be selected, the corresponding feasible intrinsic connection matrix M I ′ Is not available;
s3-3, according to the design requirements of the planetary transmission device configuration, selecting the available switchable connection matrix M S In selectionn s Column-defined planetary gear matrix M G Through a planetary gear matrix M G Defining a planetary transmission gear; gear matrix M based on Willis equation and planetary transmission device G Screening available planetary transmission gear positions;
s3-4: setting target parameters based on the performance requirements of the planetary transmission device configuration, and performing feasibility screening on available planetary transmission device gears based on the target parameters to obtain the feasible planetary transmission device gear number;
s3-5: available switchable connection feasibility screening is conducted based on the number of feasible planetary transmission gears; a feasible switchable connection is finally obtained.
Further, in S3-4, the feasibility screening is performed on the available planetary transmission gears with the transmission ratio of the available planetary transmission gears as a target parameter, and includes:
(1) Further obtaining the transmission ratio of the available transmission gear based on the available planetary transmission gear obtained in the S3-3; forming a planetary transmission gear shift matrix based on the available transmission gears, the planetary row gear ratios, and the gear ratios of the available transmission gears; each row in the planetary gear shift matrix represents a gear ratio of an available planetary gear, and the row number of the planetary gear shift matrix represents a corresponding planetary gear matrix M G The corresponding number of planetary transmission gears;
(2) If the transmission ratio of the available planetary transmission gear is larger than a first threshold value or smaller than a second threshold value, the available planetary transmission gear is not feasible, and a corresponding row of the transmission gear shifting matrix is deleted;
(3) If the difference of the transmission ratios of the two available planetary transmission gears is smaller than a first threshold value, the two available planetary transmission gears are specified to be equivalent, and one of the available planetary transmission gears and the corresponding row of the planetary transmission gear shifting matrix are deleted;
(4) And obtaining the screened feasible planetary transmission device gear shifting matrix, wherein the number of the feasible planetary transmission device gear shifting matrix rows is the number of the feasible planetary transmission device gears corresponding to the feasible planetary transmission device gear shifting matrix rows.
The invention has the beneficial effects that:
1. the method can realize automatic design of the configuration according to the design requirement of the planetary transmission device for the vehicle by a matrix-based method, has strong operability and reduces the requirements on experience and preparation work of designers.
2. The method can generate all configurations meeting the design requirements and the limiting conditions of the planetary transmission device for the vehicle, and simultaneously can obtain the most feasible configuration schemes in the least time by combining the configuration detection step, so that the feasible configuration generation efficiency is high, and the configuration generation loss is less.
3. The method of the invention can quickly and simply carry out automatic screening on the isomorphic scheme in the configuration design process, and solves the problems that the isomorphic scheme is easy to exist in the configuration design result and the design result is redundant.
4. The planetary transmission device configuration obtained by the method is not easy to lock or fly, the planetary transmission device configuration is high in safety, has good dynamic property and fuel economy, can realize simple gear shifting logic, and is beneficial to improving gear shifting performance and reducing gear shifting control difficulty.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the embodiments or the prior art descriptions will be briefly described below, and it is obvious that the drawings in the following description are the implementation processes and details of the present invention, and other drawings can be obtained by those skilled in the art without creative efforts.
FIG. 1 is a flow chart of a planetary transmission configuration design method for a matrix-based vehicle of the present invention;
FIG. 2 is a numbered view of one example of a planetary transmission configuration design method for a matrix-based vehicle of the present invention;
FIG. 3 is a schematic diagram of all permissible and impermissible connections for an exemplary matrix-based planetary transmission configuration design method of the present invention;
FIG. 4 is a schematic diagram of all allowable and unallowable inherent connections of an example of a matrix-based planetary transmission configuration design method for a vehicle of the present invention;
FIG. 5 is a schematic configuration diagram of an allowable intrinsic connection matrix according to an exemplary matrix-based planetary transmission configuration design method for a vehicle according to the present invention;
FIG. 6 is a schematic diagram of all allowable and unallowable switchable connections after isomorphic optimization of an exemplary inherent connection matrix of the matrix-based planetary transmission configuration design method for a vehicle of the present invention;
fig. 7 is a schematic configuration diagram of one possible inherent connection matrix and one corresponding one of the available switchable connection matrices of an example of the matrix-based planetary transmission configuration design method for a vehicle of the present invention.
Reference numerals:
0. a case numbered 0; 1. an input shaft numbered 1; 2. an output shaft numbered 2; 3. a drive shaft numbered 3; 4. a drive shaft numbered 4; 5. a drive shaft numbered 5; 6. a drive shaft numbered 6; 7. a drive shaft numbered 7; 8. a drive shaft numbered 8; 9. a drive shaft numbered 9; 10. a driveshaft numbered 10; 11. a drive shaft numbered 11; x, a gear ring; y, a planet carrier; z, sun gear; PG-1, the planet row closest to the input shaft numbered PG-1; PG-2, the other planetary row numbered PG-2; PG-3, the row of planets numbered PG-3 closest to the output shaft.
Detailed Description
Preferred embodiments of the present invention will be described in detail below with reference to the accompanying drawings.
Example 1
The embodiment of the invention provides a matrix-based design method for a vehicle planetary transmission device, preferably the design method for the vehicle planetary transmission device, wherein the planetary transmission device is provided with a box body, an input shaft, an output shaft and a plurality of planet rows; each planet row comprises a sun gear, a planet carrier and a gear ring; the sun gear, the planet carrier and the gear ring of each planet row in the configuration of the planetary transmission device are respectively provided with 1 transmission shaft with a certain rotating speed relationship, and it can be understood that an input shaft, an output shaft or the transmission shafts are all shafts; the non-separable connections between the shafts and the housing are inherent connections, and the separable connections between the shafts and the housing, which are realized by the shifting elements, are switchable connections, wherein the shifting elements comprise brakes and/or clutches.
Referring to fig. 1, the method comprises the following steps:
s1, initializing parameters according to design requirements of a planetary transmission device configuration, wherein the parameters comprise:
s1-1: determining the number of planetary rows, brakes, clutches, shift elements used per planetary gear closure and planetary gears;
s1-2: numbering the planet rows, the box body, the input shaft, the output shaft and the transmission shaft according to the number of the planet rows;
s1-3: defining a connection matrix M based on allowable connections between axes and a box C 。
S2, based on a connection matrix M C Obtaining a feasible intrinsic connection matrix M I ′ Determining the possible inherent connections of the planetary transmission configuration.
S3, based on feasible inherent connection matrix M I ′ And performance requirements of the planetary transmission configuration, determine the possible switchable connections of the planetary transmission configuration.
S4, determining the final possible planetary transmission configuration based on the possible inherent connections in S2 and the possible switchable connections in S3.
Further, S1 specifically includes the following steps:
s1-1: the number of the planet rows isn p The number of the brakes isn b The number of the clutches isn c The number of shift elements used per planetary gear set engaged isn s And the number of transmission gears isn g ，Whereinn p 、n b 、n c 、n s Andn g is a positive integer and is a non-zero integer,n c +n b ≥n s (ii) a An example of this embodiment employs a design quantity of:n p =3，n c =3，n b =2，n s =2，n g =7。
s1-2: according to the number of planetary rowsn p Numbering the planet row, the box body, the input shaft, the output shaft and the transmission shaft; the number of the planet row nearest to the input shaft is PG-1, and the number of the planet row nearest to the output shaft is PG-n p The other planet row numbers are incremented from the input shaft to the output shaft: PG-2, PG-3, PG-4 … … PG-, (n p -1); the number of the box is defined as 0, the numbers of the input shaft and the output shaft are defined as 1 and 2, the number of the transmission shaft of the sun gear of the planet row with the number of PG-1 (namely, the nearest to the input shaft) is defined as 3, the numbers of the transmission shafts of the sun gear, the planet carrier and the gear ring of each planet row are sequentially increased by 1 in the sequence of the sun gear, the planet carrier and the gear ring of the planet row, and the number of the transmission shaft of the sun gear of the next planet row is increased by 1 on the basis of the number of the transmission shaft of the gear ring of the planet row above the number of the transmission shaft of the next planet row. Referring to FIG. 2, in one example of this embodiment, the row of planets closest to the input shaft is numbered PG-1, the row of planets closest to the output shaft is numbered PG-3, and the other rows of planets are numbered PG-2; the number of the box body is 0, and the numbers of the input shaft and the output shaft are 1 and 2; the numbers of transmission shafts of the sun gear, the planet carrier and the gear ring of the PG-1 row of planet rows are respectively 3, 4 and 5; the numbers of transmission shafts of the PG-2 rows of planet row sun gears, the planet carrier and the gear ring are respectively 6, 7 and 8; the transmission shafts of the sun gear, the planet carrier and the gear ring of the PG-3 row of planet rows are numbered as 9, 10 and 11 respectively. It is composed ofIn the middle, each transmission shaft of the planet row is connected with the sun gear, the planet carrier and the gear ring in a tooth meshing mode.
S1-3: for the connection between each shaft and the box body, it is specified that the input shaft and the output shaft are not allowed to be directly connected with the box body, and the allowed connection between each shaft and the box body is obtained, namely: the connections of the direct connections of the input and output shafts with the housing are impermissible connections and the direct connections between the shafts and between the transmission shaft and the housing are permissible connections, see fig. 3, in which the crosses are impermissible connections and the circles are permissible connections. Defining a connection matrix M C : (1) Connection matrix M C The device comprises 2 lines which are composed of box numbers and shaft numbers, wherein each line represents a group of allowed connections; (2) Connection matrix M C The number of the first row of each column in the connection matrix M is smaller than the number of the second row, after the number of the first row and the number of the second row from 0 finish all allowed connections, the number of the first row increases by 1 from left to right to start the next group of arrangements, after the number of the first row of the next group of arrangements and the number of the second row finish all allowed connections, the number of the first row increases by 1 from left to right to start the next group of arrangements, and so on all the allowed connection arrangements are finished, the connection matrix M is a matrix of the connection matrix M C Represents all allowed connections; connection matrix M C Number of columns ofc C Comprises the following steps:
connection matrix M of an example of the present embodiment C Comprises the following steps:
M C =
further, S2 specifically includes the following steps:
s2-1: based on theConnection matrix M C The indicated permissible connections do not allow the connection of 2 transmission shafts of the same planetary row, while not allowing the direct connection of the input shaft with the output shaft, obtaining the inherent connections permitted between the shafts and the box, namely: connections that satisfy the aforementioned inherent connection conditions are allowed inherent connections, see fig. 4, in which a cross is an unallowable inherent connection and a circle is an allowed inherent connection. Defining allowed intrinsic connection matrix M I : slave connection matrix M C Wherein the allowable columns satisfying the inherent connection condition are randomly selected to constitute an allowable inherent connection matrix M I Number of selected columnsc I Comprises the following steps:
the number of columns obtained by the traversal method isc I All allowed intrinsic connection matrices M I The number of whichn in Comprises the following steps:
an example of the present embodimentc I 5, an allowable intrinsic connection matrix M under this condition I Comprises the following steps:
the allowed intrinsic connection matrix M I The corresponding permissible inherent connections are shown in dashed lines in fig. 5, it being noted that the solid lines in fig. 5 are the tooth meshes between the sun gear, the carrier and the ring gear in the same planet row.
S2-2: solving shaft connection equivalent matrix M E : traverse each intrinsic connection matrix M I In each check, if the two columns have the same number, the number of the column on the right side is updated to the two columnsThe minimum 2 serial numbers in the column are sequentially and circularly carried out, and each allowed inherent connection matrix M is finally obtained I Shaft connection equivalent matrix M E The shaft connection equivalent matrix M corresponding to an example of the embodiment E To (this embodiment follows the method described above, the allowed intrinsic connection matrix M I Shaft connection equivalent matrix M E No transformation):
allowed intrinsic connection matrix M of another example of the present embodiment I To (this embodiment follows the method described above, the allowed intrinsic connection matrix M I Shaft connection equivalent matrix M E With variations):
its corresponding shaft connection equivalent matrix M E Comprises the following steps:
s2-3: equivalent matrix M based on shaft connection E The inherent connection matrix, which is not available for the planetary transmission configuration, is screened out by 3-way checks:
s2-31: checking whether any two of the input shaft, the output shaft and the box body are connected through the transmission shaft, if so, the corresponding planetary transmission device configuration (namely, the corresponding inherent connection matrix) is not feasible; the specific method comprises the following steps: traversing checking shaft connection equivalent matrix M E If any of the columns in the following equations are present, the corresponding planetary transmission configuration is not feasible;
s2-32: checking input shaft, outputWhether the output shaft and the casing are connected to the same planetary row, and if so, the corresponding planetary transmission configuration (i.e., the corresponding allowable inherent connection matrix M) I ) Is not feasible; the specific method comprises the following steps: equivalent matrix M based on shaft connection E Identifying all transmission shafts connected with the input shaft, the output shaft and the box body, wherein the serial numbers of the transmission shafts form a combined vector v, and if 3 serial numbers of the transmission shafts belong to the same planet row in the combined vector v, the configuration is not feasible;
s2-33: check if any 2 shafts of the same planetary row are connected to the same shaft or box, and if so, the corresponding planetary transmission configuration (i.e., the corresponding allowable intrinsic connection matrix M) I ) Is not feasible; the specific method comprises the following steps: equivalent matrix M based on shaft connection E Identifying all other shafts or boxes connected to each shaft or box, the numbering of which forms the set vector v, respectively 0 、v 1 、v 2 ……v i Wherein i is 3n p +2, respectively representing the sets of the numbers of other shafts or boxes connected with the shafts or boxes with the numbers of 0,1 and 2 … … i, sequentially checking whether the number of 2 transmission shafts in each set vector is the number of the same planet row, wherein the process is traversed, and if 1 time exists in the traversal, the traversal is terminated and the configuration of the corresponding planet transmission device is not feasible;
finally obtaining feasible intrinsic connection matrix M I ′ By means of a feasible intrinsic connection matrix M I ′ Possible inherent connections are defined.
For an example structure of this embodiment, there are 3162510 intrinsic connection matrices, and after 3 times of screening, 1738638 feasible intrinsic connection matrices are obtained, accounting for 55%, and the above example intrinsic connection matrix is feasible.
Further, S3 specifically includes the following steps:
the switchable connection matrix is based on a feasible intrinsic connection matrix M I ′ Analytically, all feasible intrinsic connection matrices M I ′ Sequentially traversing to obtain all feasible switchable connection configurations, and specific processThe following were used:
s3-1: processing a feasible intrinsic connection matrix M I ′ (ii) a Based on a feasible intrinsic connection matrix M I ′ To prevent isomorphic schemes from occurring, the connection matrix M is first aligned C The following treatment is carried out: identifying the feasible intrinsic connection matrix M I ′ Numbering of the second row, deleting the connection matrix M C Including the above numbered columns to obtain a processed connection matrix M C2 Wherein the columns containing the "0" numbers indicate the use of brake connections and the other columns indicate the use of clutch connections, obtaining the allowed switchable connections between the shafts and the box, namely: the connections satisfying the aforementioned switchable connection condition are allowed switchable connections; intrinsic connection matrix M possible with one example of this embodiment I ′ For example, at this time M C2 Corresponding switchable connections see fig. 6, where the crosses are not allowed switchable connections and the circles are allowed switchable connections, resulting in a processed connection matrix M C2 Comprises the following steps:
M C2 =
s3-2: defining an available switchable connection matrix M S (ii) a According to the design requirements of the planetary transmission device configuration, the processed connection matrix M C2 In the random selectionn b A column representing the brake connection andn c columns representing clutch connections, forming a switchable connection matrix M which is usable S (ii) a If the specification cannot be selected (i.e. satisfied)n b Andn c number of columns) number of columns, the available switchable connection matrix M cannot be composed S Then the feasible intrinsic connection matrix M I ′ Is not available; circulation ofTraversing the process, all available switchable connection matrices M are obtained S And corresponding available switchable connections; for each possible inherent connection, the number of available switchable connection matrices is obtainedn sw Comprises the following steps:
wherein, the first and the second end of the pipe are connected with each other,n 0 for processed connection matrix M C2 The number of columns containing the number "0",n 1 the number of remaining columns;
an example of a switchable connection matrix that may be used in this embodiment is:
in connection with an example of a possible intrinsic connection matrix and a possible switchable connection matrix of the present embodiment, the corresponding configuration is shown in fig. 7, and it is noted that the solid lines in fig. 7 are the tooth meshes between the sun gear, the carrier and the ring gear in the same planet row, the dashed lines are the possible intrinsic connections, and the dotted lines are the available switchable connections.
S3-3, defining a planetary transmission gear matrix M G (ii) a By means of a planetary gear matrix M G Defining the planetary gear positions with different configurations by selecting the available switchable connection matrix M according to the design requirements of the planetary gear configuration S In the random selectionn s Column-defined planetary gear matrix M G (ii) a When in usen s =2, an example of the planetary transmission gear matrix of this embodiment is:
indicating that in the planetary gear position, a brake and a clutch are engaged.
Gear matrix M based on Willis equation and planetary transmission device G And listing a rotating speed equation of each shaft under each planetary transmission gear, if the rotating speed of the output shaft can be solved, the gear of the planetary transmission device is available, and screening the available gear of the planetary transmission device. An example of this embodiment is a matrix form of a Willis equation set, where the input shaft (i.e., 1 shaft) rotational speed is assumed to be 1:
wherein the content of the first and second substances,i 1 、i 2 andi 3 for the transmission ratio of each row of planetary gear, further determining the rotating speeds of the box body and the 1 st to 11 th shafts asu 0 Tou 11 。
S3-4: establishing target parameters based on performance requirements of the planetary transmission configuration, and performing feasibility screening on available planetary transmission gears based on the target parameters; the method takes the transmission ratio of available planetary transmission gear positions as a target parameter, and comprises the following specific steps:
(1) Based on the available planetary transmission gear obtained in the step S3-3, further obtaining the transmission ratio of the available planetary transmission gear; an example of this embodiment is based on the determined rotational speeds of the casing and the 1 st to 11 th shaftsu 0 Tou 11 The transmission ratio of the available planetary gear is then determined. Traversing each available planetary transmission gear under the configuration of the planetary transmission device, the solved transmission ratio of each row of planetary rows and the transmission ratio of the available planetary transmission gear to form a corresponding planetary transmission device gear shifting matrix, wherein each row in the planetary transmission device gear shifting matrix represents the planetary transmission ratio under each gear, and the row number of the planetary transmission device gear shifting matrix represents the number of the planetary transmission device gears;
(2) If the transmission ratio of the available planetary transmission gear is larger than a first threshold value or smaller than a second threshold value, the available planetary transmission gear is not feasible, and a corresponding row of the transmission gear shifting matrix is deleted;
(3) If the difference of the transmission ratios of the two available planetary transmission gears is smaller than a second threshold value, the two available planetary transmission gears are specified to be equivalent, and one of the available planetary transmission gears and the corresponding row of the planetary transmission gear shifting matrix are deleted;
preferably, the first threshold is 10 6 The second threshold is 10 -6 。
(4) A screened feasible planetary transmission shift matrix is obtained that represents the planetary transmission configuration (i.e., satisfiesn s Planetary gear matrix M for column conditions G ) And the number of the feasible planetary transmission gear shifting matrix rows is the number of the feasible planetary transmission gear corresponding to the feasible planetary transmission gear. Therefore, the obtained planetary transmission device configuration is not easy to lock or fly, and the safety of the planetary transmission device configuration is high.
Further, in order to make the operation easier at the time of shifting, taking the step ratio between the gears of the forward gears as a second target parameter, based on the aforementioned screened feasible planetary transmission shift matrix, when the gears of the feasible planetary transmission are in the forward gears, the step ratio between the gears of the forward gears is analyzed based on the gear transmission ratio of the forward gears, and if the step ratio is less than 1.05 or greater than 2, the feasible planetary transmission configuration is specified to be unusable.
S3-5: performing a feasibility screening of the available switchable connections based on the number of feasible planetary transmission gears; the specific steps comprise checking the available switchable connections based on the available number of planetary gear steps if the available number of planetary gear steps is less than a defined numbern g Then the planetary transmission configuration (i.e., a feasible planetary transmission gear shift matrix) is not feasible. A feasible switchable connection is finally obtained.
Upon examination of the above, exemplary intrinsic connection matrices and switchable connection matrices are feasible, and a set of possible planetary transmission configurations can be defined, corresponding to the schematic configuration shown in fig. 7. By this method, a total of 47405 possible planetary transmission configurations can be achieved.
The method disclosed by the invention executes traversal cycle operation, and the steps are executed by the aid of a computer, so that a large number of available planetary transmission device configurations can be automatically and quickly obtained.
Example 2
Another embodiment of the present invention provides a vehicle provided with a planetary transmission, characterized in that the planetary transmission is designed using the aforementioned matrix-based vehicular planetary transmission configuration design method.
Further, the vehicle is provided with 3 rows of planet rows; the sun gear, the planet carrier and the gear ring of each row of planet rows are respectively provided with 1 transmission shaft.
Further, in order to prevent the planetary transmission from locking up or causing traffic accidents due to vehicle flying during the driving process of the vehicle, the feasibility screening of the available planetary transmission gears comprises the following steps:
(1) If the transmission ratio of the available planetary gear is greater than 10 6 Or less than 10 -6 If the available planetary transmission gear is not feasible, deleting the corresponding row of the planetary transmission gear shifting matrix;
(2) If the ratio difference between the two available planetary gear stages is less than 10 -6 The two available planetary gear sets are equivalent and one of the available planetary gear sets and the corresponding row of the planetary gear shift matrix are deleted.
Further, thereinn p =3，n c =3，n b =2，n s =2，n g =7, each shaft or box number of the shift element corresponding to each planetary transmission gear is: 1, gear 1: the numbers 0 and 5 are connected, and the numbers 4 and 10 are connected; and 2, gear: the numbers 0 and 5 are connected, and the numbers 2 and 4 are connected; 3Blocking: the numbers 2 and 4 are connected, and the numbers 4 and 10 are connected; 4, gear shifting: the numbers 0 and 10 are connected, and the numbers 2 and 4 are connected; 5, gear: the numbers 1 and 4 are connected, and the numbers 2 and 4 are connected; 6, gear shifting: numbers 0 and 10 are connected, and numbers 1 and 4 are connected; and 7, gear shifting: numbers 1 and 4 are connected, 4 and 10 are connected; transmission ratio of each planetary rowi 1 、i 2 Andi 3 -1.573, 2.543 and-1.918, respectively; each transmission ratio of the gears of the transmission device is 3.59,2.57,1.70,1.34,1,0.62,0.43, so that the vehicle has good dynamic property and fuel economy, simple gear shifting logic can be realized, and the improvement of gear shifting performance and the reduction of gear shifting control difficulty are facilitated.
Claims (1)
1. A vehicle planetary transmission device configuration design method based on matrix comprises a box body, an input shaft, an output shaft and a plurality of planet rows; each planet row comprises a sun gear, a planet carrier and a gear ring; the sun gear, the planet carrier and the gear ring of each planet row are respectively provided with a transmission shaft; inseparable connection between each axle and the box is inherent connection, and the separable connection between each axle that realizes through clutch and/or stopper and between each axle and box is changeable connection, wherein, each axle is input shaft, output shaft or transmission shaft, its characterized in that includes the following step:
s1, initializing parameters according to design requirements of a planetary transmission device configuration, wherein the parameters comprise:
s1-1: determining the number of planetary rows, brakes, clutches, shift elements used per planetary gear closure and planetary gears;
s1-2: numbering the planet rows, the box body, the input shaft, the output shaft and the transmission shaft according to the number of the planet rows;
s1-3: defining a connection matrix M based on allowable connections between axes and a box C ；
S2, based on a connection matrix M C Obtaining a feasible intrinsic connection matrix M I ′ Determining possible inherent connections of the planetary transmission configuration;
s3, based on feasible inherent connection matrixM I ′ And performance requirements of the planetary transmission configuration, determining possible switchable connections of the planetary transmission configuration;
s4, determining a final possible planetary transmission configuration based on the possible inherent connection in S2 and the possible switchable connection in S3;
s1-1 comprises the following steps: the number of the planet rows isn p The number of the brakes isn b The number of the clutches isn c The number of shift elements used per planetary gear set engaged isn s And the number of transmission gears isn g In whichn p 、n b 、n c 、n s Andn g is a positive integer and is a non-zero integer,n c +n b ≥n s ；
s1-2 comprises the following steps: the number of the planet row nearest to the input shaft is PG-1, and the number nearest to the output shaft is PG-n p The other planet row numbers are incremented from the input shaft to the output shaft: PG-2, PG-3, PG-4 … … PG-, (n p -1); the number of a box body is specified to be 0, the numbers of an input shaft and an output shaft are specified to be 1 and 2, the number of a transmission shaft of a sun gear of a planet row with the number of PG-1 is specified to be 3, the numbers of the transmission shafts of the sun gear, a planet carrier and a gear ring of each planet row are sequentially increased by 1 in the sequence of the sun gear, the planet carrier and the gear ring of the planet row, and the number of the transmission shaft of the sun gear of the next planet row is increased by 1 on the basis of the number of the transmission shaft of the gear ring of the previous planet row;
s1-3 comprises the following steps:
the input shaft and the output shaft are not allowed to be directly connected with the box body, and the allowed connection between the shafts and the box body are obtained; defining a connection matrix M C : (1) Connection matrix M C The device comprises 2 lines which are composed of box numbers and shaft numbers, wherein each line represents a group of allowed connections; (2) Connection matrix M C The first row number of each column in the series is less thanSecond row number, connection matrix M C The column in (1) includes all allowed connections;
s2 comprises the following steps:
s2-1: based on the connection matrix M C The shown allowable connection does not allow the connection of 2 transmission shafts of the same planet row, and simultaneously does not allow the direct connection of an input shaft and an output shaft, so that the allowable inherent connection between the shafts and the box body are obtained; defining allowed intrinsic connection matrix M I : slave connection matrix M C Wherein the allowable columns satisfying the allowable intrinsic connection condition are randomly selected to constitute an allowable intrinsic connection matrix M I Number of selected columnsc I Comprises the following steps:
the number of columns obtained by the traversal method isc I All allowed intrinsic connection matrices M I ；
S2-2: solving shaft connection equivalent matrix M E Traverse each allowed intrinsic connection matrix M I If the two columns have the same number in each check, the number of the right column is updated to the minimum 2 numbers in the two columns, and the two columns are sequentially and circularly processed to finally obtain each allowable inherent connection matrix M I Shaft connection equivalent matrix M E ；
S2-3: equivalent matrix M based on shaft connection E Checking and screening out inherent connection matrixes which cannot be used for the planetary transmission device configuration;
the step of screening out inherent connection matrixes which cannot be used for the planetary transmission device configuration in the S2-3 comprises the following steps:
s2-31: checking whether any two of the input shaft, the output shaft and the box body are connected through the transmission shaft, if so, checking a corresponding allowable inherent connection matrix M I Is not feasible;
s2-32: checking whether the input shaft, the output shaft and the box body are connected to the same planet row or not, and if so, correspondingly allowingIntrinsic connection matrix M I Is not feasible;
s2-33: checking whether any 2 transmission shafts of the same planet row are connected to the same shaft or box body, if so, corresponding allowable inherent connection matrix M I Is not feasible;
finally obtaining feasible intrinsic connection matrix M I ′ By means of a feasible intrinsic connection matrix M I ′ Defining a feasible intrinsic connection;
s3 comprises the following steps:
s3-1: based on feasible intrinsic connection matrix M I ′ Deleting the connection matrix M C Including the columns of the isomorphic scheme, to obtain a processed connection matrix M C2 ；
S3-2: according to the design requirements of the planetary transmission device configuration, the processed connection matrix M C2 In the random selectionn b A column indicating connection using a brake andn c columns representing connections using clutches, constituting a switchable connection matrix M which is available S (ii) a If a specified number of columns cannot be selected, the corresponding feasible intrinsic connection matrix M I ′ Is not available;
s3-3, according to the design requirements of the planetary transmission device configuration, selecting the available switchable connection matrix M S In selectionn s Column-defined planetary gear matrix M G By means of a planetary gear matrix M G Defining a planetary transmission gear; gear matrix M based on Willis equation and planetary transmission device G Screening available planetary transmission gear positions;
s3-4: setting target parameters based on the performance requirements of the planetary transmission device configuration, and performing feasibility screening on available planetary transmission device gears based on the target parameters to obtain the feasible planetary transmission device gear number;
s3-5: available switchable connection feasibility screening is conducted based on the number of feasible planetary transmission gears; a feasible switchable connection is finally obtained;
and S3-4, performing feasibility screening on the available planetary transmission gears by taking the transmission ratio of the available planetary transmission gears as a target parameter, wherein the feasibility screening comprises the following steps:
(1) Further obtaining the transmission ratio of the available transmission gear based on the available planetary transmission gear obtained in the step S3-3; forming a planetary transmission gear shift matrix based on the available transmission gears, the planetary row gear ratios, and the gear ratios of the available transmission gears; each row in the planetary gear shift matrix represents a gear ratio of an available planetary gear, and the row number of the planetary gear shift matrix represents a corresponding planetary gear matrix M G The corresponding number of planetary transmission gears;
(2) If the transmission ratio of the available planetary transmission gear is larger than a first threshold value or smaller than a second threshold value, the available planetary transmission gear is not feasible, and a corresponding row of the transmission gear shifting matrix is deleted;
(3) If the difference of the transmission ratios of the two available planetary transmission gears is smaller than a first threshold value, the two available planetary transmission gears are specified to be equivalent, and one of the available planetary transmission gears and the corresponding row of the planetary transmission gear shifting matrix are deleted;
(4) And obtaining the screened feasible planetary transmission device gear shifting matrix, wherein the number of the feasible planetary transmission device gear shifting matrix rows is the number of the feasible planetary transmission device gears corresponding to the feasible planetary transmission device gear shifting matrix rows.
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