Method, device and equipment for analyzing meshing contact area of face gear pair

Abstract

The invention belongs to the technical field of computers, and provides a face gear pair meshing contact area analysis method which comprises the following steps: inputting design parameters of a face gear pair; three-dimensional coordinates of N contact points corresponding to N preset corners in the meshing process of the face gear tooth surface in the face gear pair are obtained, and the long semi-axis distance of a contact ellipse expanded by each contact point is obtained; mapping the N contact points to a two-dimensional plane one by one to obtain N mapping points; recording an interval between adjacent mapping points on a horizontal axis of the two-dimensional plane, obtaining N-1 intervals, and constructing a mark edge curve function of each interval; obtaining a meshing contact area based on the print edge curve functions of the N-1 intervals; and outputting the meshing contact area. The invention also provides a device for analyzing the meshing contact area of the face gear pair, a computer program product and electronic equipment. The calculation efficiency is improved on the premise of ensuring the precision of the meshing contact area.

Description

Technical Field

[0001] The present invention relates to the field of computer technology, and in particular to a method, device and equipment for analyzing the meshing contact area of ​​a face gear pair. Background Art

[0002] Face gear pairs are a type of gear pair widely used in various mechanical transmission systems, with high transmission efficiency, load-bearing capacity and stability. Face gear pairs are usually used in precision machinery, aerospace, automotive transmission systems and other fields, especially in situations where they need to carry large loads and transmit large torques, their performance is particularly outstanding. The meshing contact area is a key parameter for evaluating the working performance of a gear pair. A larger contact area usually means a lower unit area load, which helps to reduce wear and fatigue failure on the tooth surface, and at the same time can improve the transmission efficiency and stability of the gear pair. The contact area is the key to ensuring the efficient and stable operation of the gear pair. On the other hand, an excessively large contact area may increase the friction loss of the gear pair and reduce the transmission efficiency. Therefore, accurate and efficient calculation of the meshing contact area of ​​the face gear pair is the basis for achieving this goal and a prerequisite for designing a high-performance face gear pair.

[0003] The contact mode of the face gear pair in the actual transmission process is point contact. In the existing research on the meshing contact area of ​​the gear pair, each contact point is usually expanded into an elliptical area, called a contact ellipse. The contact ellipse takes the contact point as the center of the ellipse, the direction of the tooth width is the major axis of the ellipse, and the direction of the tooth height is the minor axis of the ellipse. When the tooth surfaces in the face gear pair are meshed, a set of instantaneous contact ellipses are formed to form a contact mark, and the area of ​​the contact mark is the meshing contact area. In the prior art, the finite element analysis method is usually used to obtain the meshing contact area of ​​the face gear pair, but it requires complex three-dimensional modeling and meshing of the face gear pair. Although it can provide a certain degree of calculation accuracy, the calculation efficiency is low. Summary of the invention

[0004] The present invention aims to at least solve the technical problem of low calculation efficiency in obtaining the meshing contact area of ​​a face gear pair using the existing finite element analysis method, and to provide a meshing contact area analysis method, device and equipment for a face gear pair.

[0005] In order to achieve the above-mentioned purpose of the present invention, according to the first aspect of the present invention, the present invention provides a meshing contact area analysis method of a face gear pair, comprising: inputting design parameters of the face gear pair; obtaining the three-dimensional coordinates of N contact points corresponding to N preset rotation angles of the face gear tooth surface in the face gear pair during the meshing process according to the design parameters, and obtaining the major semi-axis distance of the contact ellipse extended by each contact point, N being a positive integer greater than 1; mapping the N contact points one by one to a two-dimensional plane to obtain N mapping points; wherein the two-dimensional plane has the contact path length as the horizontal axis and the major semi-axis distance as the vertical axis; the interval between adjacent mapping points on the horizontal axis of the two-dimensional plane is recorded as an interval, N-1 intervals are obtained, and the imprint edge curve function of each interval is constructed; the meshing contact area is obtained based on the imprint edge curve function of the N-1 intervals;

[0006] Outputs the meshing contact area.

[0007] In order to achieve the above-mentioned purpose of the present invention, according to the second aspect of the present invention, the present invention provides a meshing contact area analysis device for a face gear pair, which is used to implement a meshing contact area analysis method for a face gear pair described in the first aspect of the present invention, including: an input module, which inputs the design parameters of the face gear pair; a calculation module, which obtains the three-dimensional coordinates of N contact points corresponding to N preset rotation angles of the face gear tooth surface in the face gear pair during the meshing process according to the design parameters, and obtains the major semi-axis distance of the contact ellipse extended from each contact point, N is a positive integer greater than 1; a mapping module, which maps the N contact points one by one to a two-dimensional plane to obtain N mapping points; wherein the two-dimensional plane has the contact path length as the horizontal axis and the major semi-axis distance as the vertical axis; an imprint edge curve function construction module, in which the interval between adjacent mapping points on the horizontal axis of the two-dimensional plane is recorded as an interval, N-1 intervals are obtained, and the imprint edge curve function of each interval is constructed; a meshing contact area calculation module, which obtains the meshing contact area based on the imprint edge curve function of the N-1 intervals; and an output module, which outputs the meshing contact area.

[0008] In order to achieve the above-mentioned purpose of the present invention, according to the third aspect of the present invention, the present invention provides a computer program product, including a computer program, characterized in that when the computer program is executed by a processor, the steps of the meshing contact area analysis method of a face gear pair described in the first aspect of the present invention are implemented.

[0009] In order to achieve the above-mentioned purpose of the present invention, according to the fourth aspect of the present invention, the present invention provides an electronic device, which includes: at least one processor; and a memory communicatively connected to the at least one processor; wherein the memory stores a computer program executable by the at least one processor, and the computer program is executed by the at least one processor so that the at least one processor can execute a meshing contact area analysis method for a face gear pair as described in the first aspect of the present invention.

[0010] In the process of meshing contact area analysis, the present application obtains the three-dimensional spatial coordinates of N contact points corresponding to N preset rotation angles and the major axis of the contact ellipse extended from each contact point according to the theoretical calculation method of contact points and contact ellipses during the meshing process of face gear tooth surfaces. In order to simplify the calculation, the N contact points are mapped to a two-dimensional plane to solve the meshing contact area. In the two-dimensional plane, spline interpolation is first performed according to the coordinates of the N mapped points to obtain interpolation points, and then the imprint edge curve function of each interval is fitted according to the endpoints and interpolation points of the interval, so that the imprint edge curve function is closer to the actual imprint contour to ensure the calculation accuracy of the meshing contact area. Finally, the meshing contact area is obtained by numerical integration. The present invention improves the calculation efficiency while ensuring the accuracy of the meshing contact area, and has important theoretical and practical application value. BRIEF DESCRIPTION OF THE DRAWINGS

[0011] Figure 1 It is a schematic flow chart of a method for analyzing the meshing contact area of ​​a face gear pair in a preferred embodiment of the present invention;

[0012] Figure 2 is a schematic diagram of the tooth surface contact area during the meshing process of the face gear in a preferred embodiment of the present invention;

[0013] Figure 3 This is a schematic diagram showing a first impression in a preferred embodiment of the present invention;

[0014] Figure 4 It is a schematic diagram of obtaining the second impression display image in a preferred embodiment of the present invention;

[0015] Figure 5 is a schematic diagram of finite element simulation results in a preferred embodiment of the present invention;

[0016] Figure 6 It is a schematic structural diagram of an electronic device in a preferred embodiment of the present invention. DETAILED DESCRIPTION

[0017] Embodiments of the present invention are described in detail below, examples of which are shown in the accompanying drawings, wherein the same or similar reference numerals throughout represent the same or similar elements or elements having the same or similar functions. The embodiments described below with reference to the accompanying drawings are exemplary and are only used to explain the present invention, and cannot be understood as limiting the present invention.

[0018] In the description of the present invention, it is necessary to understand that the terms "longitudinal", "lateral", "up", "down", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inside", "outside", etc., indicating the orientation or position relationship, are based on the orientation or position relationship shown in the accompanying drawings, and are only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore cannot be understood as a limitation on the present invention.

[0019] In the description of the present invention, unless otherwise specified and limited, it should be noted that the terms "installed", "connected" and "connected" should be understood in a broad sense. For example, it can be a mechanical connection or an electrical connection, or it can be the internal connection between two components. It can be a direct connection or an indirect connection through an intermediate medium. For ordinary technicians in this field, the specific meanings of the above terms can be understood according to the specific circumstances.

[0020] The present invention discloses a method for analyzing the meshing contact area of ​​a face gear pair. The execution subject of the method includes but is not limited to a server, a terminal, etc., which can be configured to execute at least one of the electronic devices of the method for analyzing the meshing contact area of ​​a face gear pair provided in an embodiment of the present application.

[0021] In a preferred embodiment, the present application provides a method for analyzing the meshing contact area of ​​a face gear pair, comprising:

[0022] Step S1, inputting the design parameters of the face gear pair. The design parameters can be input into the execution device of the analysis method through a keyboard, or read out from other devices through a communication interface, or downloaded from a preset website link through the Internet, or read out from the memory of the execution device of the analysis method.

[0023] The design parameters include but are not limited to the module of the face gear pair, the number of face gear teeth, the number of cylindrical gear teeth, the number of gear cutter teeth, the pressure angle, the shaft angle, and N preset rotation angles of the face gear tooth surface during the meshing process, each preset rotation angle corresponds to a contact point on the face gear tooth surface. Specifically, the rotation angles of the meshing start and end points of the face gear tooth surface can be calculated first to obtain the rotation angle interval, and then N-2 rotation angles can be set in the rotation angle interval.

[0024] Step S2, according to the design parameters, obtains the three-dimensional coordinates of N contact points corresponding to N preset rotation angles of the face gear tooth surface in the face gear pair during the meshing process, and obtains the major semi-axis distance of the contact ellipse extended from each contact point, where N is a positive integer greater than 1. Specifically, step S2 is performed according to the existing theoretical calculation method of contact points and contact ellipses during the meshing process of the face gear pair, which can be directly performed in the MATLAB software.

[0025] Step S3, mapping the N contact points one by one to a two-dimensional plane to obtain N mapping points; wherein the two-dimensional plane has the contact path length as the horizontal axis and the major semi-axis distance as the vertical axis.

[0026] Step S4, the interval between adjacent mapping points on the horizontal axis of the two-dimensional plane is recorded as an interval, N-1 intervals are obtained, and the imprint edge curve function of each interval is constructed.

[0027] The first mapping point can be the initial contact point of meshing, the Nth mapping point can be the end contact point of meshing, there is an interval between the first mapping point and the second mapping point, there is an interval between the second mapping point and the third mapping point, and so on. The interval between the N-1th contact point and the Nth contact point is the N-1th interval, and a total of N-1 intervals are obtained. It is considered that the first half of the contact ellipse extended by the first contact point and the second half of the contact ellipse extended by the Nth contact point are both beyond the tooth surface, and therefore, they are not included in the meshing contact area.

[0028] Step S5, obtaining the meshing contact area based on the imprint edge curve function of the N-1 intervals.

[0029] Step S6, outputting the meshing contact area. Specifically, the meshing contact area can be displayed using a display device, or transmitted to other devices using a communication interface, or uploaded to a preset website using the Internet.

[0030] In this embodiment, in an example, in step S1, the design parameters of the face gear pair are shown in the following table:

[0031]

[0032] In this embodiment, the theoretical calculation method of the contact point and the contact ellipse during the meshing process of the face gear pair in step S2 includes:

[0033] Establish the contact analysis model of the face gear pair to determine the contact point position. Assume that the pinion tooth surface is r1 and the face gear tooth surface is r2. (n i , i=1, 2) are the unit normal vectors of the two gear tooth surfaces respectively, and the contact point position can be described by the following equation:

[0034]

[0035] (u i , i = 1, 2) are the variables of the axial direction of the two gear tooth surfaces; (θ i , i = 1, 2) is the angle between the starting point of the two involutes and any point on the involute; (φ i , i=1, 2) is the rotation angle of the two tooth surfaces during the meshing process, that is, the rotation angle of the face gear and the cylindrical gear.

[0036] Substitute the design parameters into the above contact point position description equations, set the initial angle of the face gear, step size, and the number of contact points N. In the above example, the face gear angle φ1 starts to change from -0.08 radians, the step size is 0.012 radians, and the number of contact points is set to 14 (i.e. N). The following can be obtained by calculation with MATLAB software: Figure 2 A set of contact points on the tooth surface t i , i∈[1,N], its three-dimensional space coordinates are expressed as (X ti , Y ti , Z ti ), X ti , Y ti , Z ti Respectively represent the contact point t i The coordinates of the X-axis, Y-axis, and Z-axis in the three-dimensional space coordinate system.

[0037] Considering the elastic deformation of the tooth surface during the meshing process of the face gear, the tooth surface contact point will expand into an elliptical area, which is recorded as the contact ellipse. For the calculation of the contact area, the mathematical description of the contact ellipse is necessary. Specifically, according to the differential geometry theory and the given elastic deformation δ, the size and direction of the contact ellipse can be calculated. The calculation process is as follows:

[0038]

[0039] Where E = r u r u , F = r u r v , G = r v r v , L = r u r u n,M=r u r v n,N=r v r v n. n represents the unit normal vector of the surface:

[0040]

[0041] Among them, r u , r v Represents the partial derivative of the tooth surface parameter equation r(u, v).

[0042] The contact ellipse can be determined by the following equation:

[0043] Bn 2 +Aζ 2 = ±δ

[0044] It is found that the major axis of the ellipse 2a = 2|δ / A| 1 / 2, short axis 2b = 2|δ / B| 1 / 2 .

[0045] A and B can be calculated from the principal curvature of the contact point:

[0046]

[0047] In the formula,

[0048] Specifically, the major axis of the contact ellipse of N contact points on the tooth surface of the face gear can be calculated by MATLAB software according to the above process. Figure 2 shown.

[0049] In a preferred embodiment, in order to improve the accuracy of the meshing contact area and improve the calculation efficiency, in step S3, N contact points are mapped one by one to a two-dimensional plane to obtain N mapping points, including:

[0050] Step S31, assigning the ordinate of the mapping point in the two-dimensional plane to the semi-major axis distance of the contact ellipse extended from the corresponding contact point. Establishing a two-dimensional coordinate system of the two-dimensional plane, in which the contact path length is the horizontal axis x, specifically the three-dimensional space distance of the contact point is the horizontal axis; and the semi-major axis distance is the vertical axis y, that is, the semi-major axis distance of the contact ellipse extended from each contact point is the vertical axis.

[0051] Step S32, calculate the three-dimensional space distance between adjacent contact points, and use the three-dimensional space distance as the horizontal axis distance between the contact points corresponding to the adjacent contact points in the two-dimensional plane, that is, obtain the horizontal axis distance between the adjacent contact points. The horizontal axis distance between the nth contact point and the n-1th contact point is:

[0052]

[0053] Step S33, select any contact point, and set the horizontal coordinate of the mapping point corresponding to the selected contact point in the two-dimensional plane to 0. In the above example, the mapping point corresponding to the first contact point is selected and its horizontal coordinate is set to 0.

[0054] Step S34, obtaining the horizontal coordinate of each mapping point based on the horizontal axis distance of adjacent mapping points. In the above example, the horizontal coordinate of the mapping point corresponding to the second contact point is d 2，1 , the horizontal coordinate of the mapping point corresponding to the third contact point is (d 2，1 +d 3，2 ), and so on, the horizontal coordinate of the mapping point corresponding to the Nth contact point is (d 2，1 +d 3，2 +…d N，N-1 ).

[0055] In a preferred embodiment, in order to ensure the calculation accuracy of the meshing contact area, in step S4, the imprint edge curve function of each interval is constructed, including:

[0056] Step S41, performing spline interpolation on the N mapping points to obtain a cubic spline function for each interval.

[0057] Specifically, a cubic spline function is constructed between adjacent mapping points (i.e., interval endpoints). For the jth interval, the constructed cubic spline function is:

[0058] g j (x) = l j x 3 +m j x 2 +n j x+d j (j=1, 2, ..., N-1);

[0059] Solving the coefficients of a cubic function requires 4(N-1) equations. Each cubic function passes through its two endpoints, resulting in 2(N-1) equations:

[0060]

[0061] In order to ensure the smoothness of two adjacent function segments at the connection point, the first-order derivative and the second-order derivative are equal at the connection point, and 2(N-1) equations can be obtained:

[0062]

[0063] Considering the boundary conditions at the endpoints, let the second-order derivatives at the first and last endpoints be zero:

[0064]

[0065] The cubic spline function of each interval is obtained by simultaneous solution.

[0066] In the above example, N is 14 and the cubic spline function for the jth interval is g j (x) = l j x 3 +m j x 2 +n j x+d j (j=1, 2, ..., 13), the specific calculation is as follows:

[0067]

[0068] Step S42, substitute the abscissa of the midpoint of the horizontal axis of each interval into the cubic spline function of the interval to obtain the coordinates of the interpolation point, wherein the abscissa of the midpoint of the horizontal axis is the abscissa of the interpolation point, and the function value obtained by substituting the abscissa of the midpoint of the horizontal axis into the cubic spline function of the interval is the ordinate of the interpolation point. The coordinates of the interpolation point of the jth interval are expressed as: In the above example, when N is 14, the coordinates of the interpolation points in the 13 intervals are expressed as:

[0069]

[0070] Step S43, using the two endpoints and interpolation points of each interval to perform quadratic curve fitting to obtain the print edge curve function of the interval. The print edge curve function of the jth interval is expressed as: j (x) = a j x 2 +b j x+c j , and its coefficient calculation formula is:

[0071]

[0072] The coordinates of the first and last endpoints (mapping points) of the jth interval are: (x j ,y j ) and (x j+1 ,y j+1 ), the coordinates of the interpolation point in the jth interval are:

[0073] In a preferred embodiment, in order to facilitate the solution and improve the calculation efficiency and accuracy, in step S5, the meshing contact area is obtained based on the imprint edge curve function of N-1 intervals, including:

[0074] Step S51, integrate the imprint edge curve function of each interval, and take the double value of the integration result as the imprint area of ​​each interval. The imprint area of ​​the jth interval is expressed as:

[0075] Step S52, accumulating the imprint areas of N-1 intervals to obtain the meshing contact area, and outputting the meshing contact area: In the above example,

[0076] In this embodiment, in order to further improve the calculation efficiency, the meshing contact area calculation formula in step S52 is derived as follows:

[0077]

[0078] Integrating the quadratic imprint edge curve function yields:

[0079]

[0080] Right now,

[0081] Among them, f j (·) represents the edge curve function of the imprint in the jth interval; x j 、x j+1 They respectively represent the abscissa of the starting mapping point and the ending mapping point of the jth interval.

[0082] In a preferred embodiment, in order to more intuitively observe the meshing contact surface of the tooth surface during the meshing process of the face gear pair and assist the design of the face gear pair, the meshing contact area analysis method provided by the present application also includes:

[0083] Step A1: Use drawing software (such as MATLAB) to draw a meshing tooth surface diagram of a tooth of the face gear, referring to Figure 3 As shown in , the contact point and the major semi-axis of the contact ellipse extended from the contact point are drawn on the meshing tooth surface diagram to obtain the first impression display diagram; Figure 3 As shown, in the above example, N is 14, then Figure 3 In the figure, the 14 red points on the tooth surface represent 14 contact points, and the red line segment passing through each contact point is the major axis of the contact ellipse extended from the contact point.

[0084] Step A2, displaying the first impression display image, such as Figure 3 shown.

[0085] In a preferred embodiment, in order to visualize the meshing contact area obtained by analysis, so that designers can observe the meshing contact area more intuitively and assist in the design of face gear pairs, the meshing contact area analysis method provided in the present application also includes:

[0086] Step B1, draw the mapping imprint area of ​​each interval on a two-dimensional plane according to the imprint edge curve function of the interval. Specifically, draw the mapping imprint contour of the interval above the horizontal axis according to the imprint edge curve function of the interval, map the mapping imprint contour above the horizontal axis symmetrically about the horizontal axis, obtain the mapping imprint contour of the interval below the horizontal axis, and use the area surrounded by the mapping imprint contours above and below the horizontal axis of the interval as the mapping imprint area of ​​the interval.

[0087] Step B2, rendering the mapping imprint area of ​​each interval to obtain the interval mapping imprint image. The rendering method can be specifically to color the mapping imprint area of ​​the interval, and the color of the coloring can be red (such as Figure 4In the above example, the interval mapping imprint image obtained by rendering the mapping imprint area of ​​13 intervals is as follows: Figure 4 As shown in the left image ( Figure 4 image before the middle arrow).

[0088] Step B3, mapping the interval mapping imprint image of each interval onto the first imprint display image, obtaining a second imprint display image and displaying it (such as Figure 4 ), wherein the interval mapping impression image of each interval is mapped onto the first impression display image, including:

[0089] Step B31, attaching the interval mapping imprint image of each interval to the first imprint display diagram, aligning the mapping points at both ends of the interval of the attached interval mapping imprint image with the corresponding contact points of the mapping points at both ends of the interval on the first imprint display diagram.

[0090] Specifically, the interval mapping imprint image of each interval can be deducted, and the deducted interval mapping imprint image and the tooth surface partial image of the first imprint display image can be imported into the image editor at the same time. In the image editor, the two end points of the interval in the interval mapping imprint image of each interval are aligned with the two corresponding contact points in the tooth surface partial image (that is, the end points and the corresponding contact points are overlapped as much as possible). To facilitate alignment, the interval mapping imprint image can be scaled and transformed in the width direction.

[0091] Step B32, the attached interval mapping imprint image is stretched in the length direction so that the length of the interval mapping imprint image matches the long axis of the corresponding contact points of the mapping points at both ends of the interval on the first imprint display image. Specifically, the attached interval mapping imprint image is stretched in the length direction so that the long axis of the approximate ellipse at the interval endpoints in the interval mapping imprint image overlaps as much as possible with the long axis of the corresponding contact points of the endpoints.

[0092] The meshing contact area analysis method of a face gear pair provided by the present invention is verified. The meshing contact area obtained by the meshing contact area analysis method of the face gear pair provided by the present invention is 37.0165 mm 2 . In order to ensure the accuracy and reliability of the present invention, a finite element model was established with the same design parameters as the above example and compared and verified. The specific implementation process of the finite element method is as follows: based on the established three-dimensional model of the tooth surface, the finite element software ABAQUS is imported to obtain the finite element model of the face gear pair. The unit type uses hexahedral units and the mesh is refined in the contact area. The material density of the two wheels is set to 7800kg / m 3 , Poisson's ratio is 0.3, and the elastic modulus is 2.1×10 5Mpa; set the contact form between the two wheels to surface-to-surface contact; use the general statics algorithm for the analysis step; select the tooth surface contact stress and contact area as the output variables; set the boundary conditions and loads to fully constrain the opposite gear, apply torque to the small wheel and release its rotational freedom around the axis, and the given torque is 74N·m. The simulation results obtained by the finite element method are shown in the attached figure. Figure 5 , querying the contact unit in ABAQUS shows that its area is 36.9mm 2 The error analysis of the two results shows that the meshing contact area calculated by finite element simulation and the meshing contact area calculated by the technical solution of the present invention have an error within 5%, which verifies the accuracy and reliability of the method of the present invention.

[0093] The present invention also discloses a meshing contact area analysis device for a face gear pair, which is used to implement the meshing contact area analysis method for a face gear pair. In a preferred embodiment, the device comprises:

[0094] Input module, input design parameters of face gear pair;

[0095] A calculation module, which obtains the three-dimensional coordinates of N contact points corresponding to N preset rotation angles of the tooth surface of the face gear pair during the meshing process according to the design parameters, and obtains the major semi-axis distance of the contact ellipse extended from each contact point, where N is a positive integer greater than 1;

[0096] A mapping module maps the N contact points one by one to a two-dimensional plane to obtain N mapping points; wherein the two-dimensional plane has the contact path length as the horizontal axis and the major semi-axis distance as the vertical axis;

[0097] The module for constructing the imprint edge curve function is to record the interval between adjacent mapping points on the horizontal axis of the two-dimensional plane as an interval, obtain N-1 intervals, and construct the imprint edge curve function of each interval;

[0098] The meshing contact area calculation module obtains the meshing contact area based on the imprint edge curve function of N-1 intervals;

[0099] Output module, outputs the meshing contact area.

[0100] In this embodiment, the input module, calculation module, mapping module, imprint edge curve function construction module, meshing contact area calculation module and output module respectively correspond to steps S1, S2, S3, S4, S5 and S6 of the above-mentioned meshing contact area analysis method for a face gear pair, and will not be repeated here.

[0101] The present invention also discloses a computer program product, including a computer program / instruction, which, when executed by a processor, implements the steps of the above-mentioned method for analyzing the meshing contact area of ​​a face gear pair provided by the present invention. The computer program product should be understood as a software product that mainly implements its solution through a computer program, such as a program product integrated in the cloud or a software library.

[0102] The present invention also discloses an electronic device. In one embodiment, the electronic device includes at least one processor; and a memory connected to the at least one processor in communication; wherein:

[0103] The memory stores a computer program executable by the at least one processor, and the computer program is executed by the at least one processor so that the at least one processor can execute a meshing contact area analysis method for a face gear pair provided by the present invention.

[0104] In this embodiment, the electronic device is not limited to a desktop computer or a notebook computer.

[0105] like Figure 6 , which is a schematic diagram of the structure of an electronic device for analyzing a meshing contact area of ​​a face gear pair provided by an embodiment of the present invention. The electronic device may include a processor 10, a memory 11, a communication bus 12, and a communication interface 13, and may also include a computer program stored in the memory 11 and executable on the processor 10, such as a program for analyzing a meshing contact area of ​​a face gear pair.

[0106] In some embodiments, the processor 10 may be composed of an integrated circuit, for example, a single packaged integrated circuit, or a plurality of packaged integrated circuits with the same or different functions, including one or more central processing units (CPUs), microprocessors, digital processing chips, graphics processors, and combinations of various control chips. The processor 10 is the control core (Control Unit) of the electronic device, and uses various interfaces and lines to connect various components of the entire electronic device, and executes or executes programs or modules stored in the memory 11 (for example, executing a meshing contact area analysis method for a face gear pair, etc.), and calls data stored in the memory 11 to execute various functions of the electronic device and process data.

[0107] The memory 11 includes at least one type of readable storage medium, and the readable storage medium includes a flash memory, a mobile hard disk, a multimedia card, a card-type memory (for example, an SD or DX memory, etc.), a magnetic memory, a disk, an optical disk, etc. In some embodiments, the memory 11 may be an internal storage unit of an electronic device, such as a mobile hard disk of the electronic device. In other embodiments, the memory 11 may also be an external storage device of an electronic device, such as a plug-in mobile hard disk, a smart memory card (Smart Media Card, SMC), a secure digital (Secure Digital, SD) card, a flash card (Flash Card), etc. equipped on the electronic device. Further, the memory 11 may also include both an internal storage unit of the electronic device and an external storage device. The memory 11 can not only be used to store application software and various types of data installed in the electronic device, such as the code of a program for analyzing the meshing contact area of ​​a face gear pair, but can also be used to temporarily store data that has been output or is to be output.

[0108] The communication bus 12 may be a Peripheral Component Interconnect (PCI) bus or an Extended Industry Standard Architecture (EISA) bus, etc. The bus may be divided into an address bus, a data bus, a control bus, etc. The bus is configured to realize connection and communication between the memory 11 and at least one processor 10, etc.

[0109] The communication interface 13 is used for communication between the above-mentioned electronic device and other devices, including a network interface and a user interface. Optionally, the network interface may include a wired interface and / or a wireless interface (such as a WI-FI interface, a Bluetooth interface, etc.), which is generally used to establish a communication connection between the electronic device and other electronic devices. The user interface may be a display (Display), an input unit (such as a keyboard (Keyboard)), and optionally, the user interface may also be a standard wired interface, a wireless interface. Optionally, in some embodiments, the display may be an LED display, a liquid crystal display, a touch-sensitive liquid crystal display, and an OLED (Organic Light-Emitting Diode, organic light-emitting diode) touch device, etc. Among them, the display may also be appropriately referred to as a display screen or a display unit, which is used to display information processed in the electronic device and to display a visual user interface.

[0110] Figure 6 Only an electronic device with components is shown, and those skilled in the art will understand that Figure 6The structure shown does not constitute a limitation on the electronic device, and may include fewer or more components than shown in the figure, or combine certain components, or arrange the components differently.

[0111] For example, although not shown, the electronic device may also include a power source (such as a battery) for supplying power to various components. Preferably, the power source may be logically connected to at least one processor 10 through a power management device, so that the power management device can realize functions such as charging management, discharging management, and power consumption management. The power source may also include any components such as one or more DC or AC power sources, recharging devices, power failure detection circuits, power converters or inverters, and power status indicators. The electronic device may also include a variety of sensors, Bluetooth modules, Wi-Fi modules, etc., which will not be described in detail here.

[0112] It should be understood that the embodiment is for illustration only and the scope of the patent application is not limited by this structure.

[0113] Furthermore, if the module / unit integrated in the electronic device 1 is implemented in the form of a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. The computer-readable storage medium can be volatile or non-volatile. For example, the computer-readable medium can include: any entity or device capable of carrying the computer program code, a recording medium, a USB flash drive, a mobile hard disk, a magnetic disk, an optical disk, a computer memory, and a read-only memory (ROM).

[0114] In the description of this specification, the description with reference to the terms "one embodiment", "some embodiments", "example", "specific example", "an implementation", "a preferred implementation" or "some examples" etc. means that the specific features, structures, materials or characteristics described in conjunction with the embodiment or example are included in at least one embodiment or example of the present invention. In this specification, the schematic representation of the above terms does not necessarily refer to the same embodiment or example. Moreover, the specific features, structures, materials or characteristics described may be combined in any one or more embodiments or examples in a suitable manner.

[0115] Although the embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that various changes, modifications, substitutions and variations may be made to the embodiments without departing from the principles and spirit of the present invention, and that the scope of the present invention is defined by the claims and their equivalents.

Claims

1. A method for analyzing the meshing contact area of ​​a face gear pair, characterized in that: include: Design parameters of input face gear pair; According to the design parameters, the three-dimensional coordinates of N contact points corresponding to N preset rotation angles of the tooth surface of the face gear pair during the meshing process are obtained, and the major semi-axis distance of the contact ellipse extended from each contact point is obtained, where N is a positive integer greater than 1; Mapping the N contact points one by one to a two-dimensional plane to obtain N mapping points; wherein the two-dimensional plane has the contact path length as the horizontal axis and the major semi-axis distance as the vertical axis; The interval between adjacent mapping points on the horizontal axis of the two-dimensional plane is recorded as an interval, and N-1 intervals are obtained, and the imprint edge curve function of each interval is constructed; The meshing contact area is obtained based on the imprint edge curve function of N-1 intervals; Outputs the meshing contact area.

2. A meshing contact area analysis method for a face gear pair as claimed in claim 1, characterized in that: The meshing contact area is obtained based on the imprint edge curve function of N-1 intervals, including: Integrating the imprint edge curve function of each interval, and taking twice the value of the integral processing result as the imprint area of ​​each interval; The meshing contact area is obtained by accumulating the imprint areas of N-1 intervals, and the meshing contact area is output.

3. A meshing contact area analysis method for a face gear pair as claimed in claim 2, characterized in that: The meshing contact area S is calculated according to the following formula: Among them, f j (·) represents the edge curve function of the imprint in the jth interval; x j 、x j+1 They respectively represent the abscissa of the starting mapping point and the ending mapping point of the jth interval.

4. A meshing contact area analysis method for a face gear pair as claimed in any one of claims 1 to 3, characterized in that: Mapping the N contact points one by one to the two-dimensional plane to obtain N mapping points includes: Assign the ordinate of the mapping point in the two-dimensional plane to the semi-major axis distance of the contact ellipse extended from the corresponding contact point; Calculating the three-dimensional space distance between adjacent contact points, and using the three-dimensional space distance as the horizontal axis distance between the contact points corresponding to the adjacent contact points in the two-dimensional plane, that is, obtaining the horizontal axis distance between the adjacent contact points; Select any contact point and set the horizontal coordinate of the mapping point corresponding to the selected contact point in the two-dimensional plane to 0; The horizontal coordinate of each mapping point is obtained based on the horizontal axis distance of adjacent mapping points.

5. A meshing contact area analysis method for a face gear pair as claimed in claim 4, characterized in that: The step of constructing the imprint edge curve function of each interval includes: Perform spline interpolation on N mapping points to obtain the cubic spline function of each interval; Substitute the horizontal coordinate of the midpoint of the horizontal axis of each interval into the cubic spline function of the interval to obtain the coordinates of the interpolation point; The imprint edge curve function of each interval is obtained by fitting a quadratic curve using the two endpoints and interpolation points of the interval.

6. A method for analyzing the meshing contact area of ​​a face gear pair as claimed in claim 1, 2, 3 or 5, characterized in that: Also includes: Use drawing software to draw a meshing tooth surface diagram of a tooth of the face gear, draw the contact point and the major semi-axis of the contact ellipse extended from the contact point on the meshing tooth surface diagram, and obtain the first impression display diagram; Showing the first impression display image.

7. A meshing contact area analysis method for a face gear pair as claimed in claim 6, characterized in that: Also includes: Draw the mapped imprint area of ​​each interval on a two-dimensional plane according to the imprint edge curve function of the interval; Rendering the mapping imprint area of ​​each interval to obtain an interval mapping imprint image; Mapping the interval mapping imprint image of each interval onto the first imprint display image, obtaining and displaying the second imprint display image, wherein mapping the interval mapping imprint image of each interval onto the first imprint display image includes: The interval mapping impression image of each interval is attached to the first impression display image, and the mapping points at both ends of the interval of the attached interval mapping impression image are aligned with the corresponding contact points of the mapping points at both ends of the interval on the first impression display image; The attached interval mapping imprint image is stretched and contracted in the length direction so that the length of the interval mapping imprint image matches the long axis of the corresponding contact points of the mapping points at both ends of the interval on the first imprint display image.

8. A meshing contact area analysis device for a face gear pair, used to implement a meshing contact area analysis method for a face gear pair as claimed in any one of claims 1 to 7, characterized in that: include: Input module, input design parameters of face gear pair; A calculation module, which obtains the three-dimensional coordinates of N contact points corresponding to N preset rotation angles of the tooth surface of the face gear pair during the meshing process according to the design parameters, and obtains the major semi-axis distance of the contact ellipse extended from each contact point, where N is a positive integer greater than 1; A mapping module maps the N contact points one by one to a two-dimensional plane to obtain N mapping points; wherein the two-dimensional plane has a contact path length of the two-dimensional plane as a horizontal axis and a major semi-axis distance as a vertical axis; The module for constructing the imprint edge curve function is to record the interval between adjacent mapping points on the horizontal axis of the two-dimensional plane as an interval, obtain N-1 intervals, and construct the imprint edge curve function of each interval; The meshing contact area calculation module obtains the meshing contact area based on the imprint edge curve function of N-1 intervals; Output module, outputs the meshing contact area.

9. A computer program product, comprising a computer program, characterized in that When the computer program is executed by a processor, the steps of the method according to any one of claims 1 to 7 are implemented.

10. An electronic device, characterized in that: The electronic device comprises: at least one processor; and a memory communicatively connected to the at least one processor; wherein the memory stores a computer program executable by the at least one processor, and the computer program is executed by the at least one processor so that the at least one processor can execute a meshing contact area analysis method for a face gear pair as described in any one of claims 1 to 7.

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