CN114559112A - Design method of full-process spiral bevel gear - Google Patents
Design method of full-process spiral bevel gear Download PDFInfo
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- CN114559112A CN114559112A CN202210359852.4A CN202210359852A CN114559112A CN 114559112 A CN114559112 A CN 114559112A CN 202210359852 A CN202210359852 A CN 202210359852A CN 114559112 A CN114559112 A CN 114559112A
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Abstract
The invention provides a design method of a full-process spiral bevel gear, which solves the problem that the synchronous adjustment of the two surfaces of the tooth surface contact characteristics is difficult when the full-process spiral bevel gear is processed, can realize the high-efficiency and high-quality manufacture of the spiral bevel gear, and is verified that the junction of the divided regions of the tooth surfaces is smoothly connected, the contact regions of the two tooth surfaces are positioned in the middle of the tooth surfaces, the inside diagonal angles are presented, the noise sound pressure is 68 decibels, the design requirements completely meet the actual design requirements, and the industrial problem that the synchronous adjustment of the double surfaces of the spiral bevel gear processed by the full-process method is difficult is effectively solved.
Description
Technical Field
The invention relates to a processing method of a spiral bevel gear, in particular to a design method of a spiral bevel gear by a full-process method.
Background
Spiral bevel gears have the advantages of low noise, stable transmission, strong bearing capacity, high reliability and high performance, and become important transmission parts in equipment such as automobiles and engineering machinery. The automobile field is the most important application field with the largest usage of spiral bevel gears, and the automobile gear accounts for 62% of the total gear market. The full-process method is used as a main processing method, has a series of advantages of high processing efficiency, low investment cost, good geometric accuracy consistency, high gear tooth strength, high-speed dry cutting and the like, is a development trend of the modern spiral bevel gear manufacturing technology, but has certain limitations due to the difficulty in accurate pre-control of cooperative adjustment of the contact characteristics of the front face and the back face caused by the single reference point in the design method for processing the spiral bevel gear by the existing full-process method.
At present, gear cutting of a gear pair is calculated by configuring a small wheel with a large wheel and ensuring the contact characteristics of the gear pair by cutter parameters of the small wheel and machine tool adjustment parameters. The method for machining the large wheel in the existing design method of the whole process is consistent with a five-knife method, and mainly comprises the steps of calculating a group of front turning machine tool adjustment parameters by setting a reference point of a front turning surface of the large wheel; meanwhile, the machine tool adjustment parameters of the small wheel positive turning surface meshed with the large wheel positive turning surface are calculated, the machine tool adjustment parameters of the small wheel reverse turning surface are determined, and two sides of a gear tooth groove are machined simultaneously in the gear cutting process; because the full process method for machining the small wheel only has one set of machining adjustment parameters, the situation that one pair of tooth surfaces has better contact characteristics and the other pair of tooth surfaces has poorer contact characteristics in actual work can be caused, as shown in the following figure 1. The contact characteristics of the two surfaces are influenced by correcting one parameter to adjust the tooth surface contact performance, so that the contact characteristics of the two surfaces are difficult to be synchronously accurately pre-controlled, and the high-efficiency and high-quality market requirements of modern high-performance spiral bevel gears are difficult to meet.
Disclosure of Invention
The invention provides a design method of a full-process spiral bevel gear, and aims to solve the problems pointed out in the background technology.
In order to achieve the above object, an embodiment of the present invention provides a method for designing a full process spiral bevel gear, including:
dividing the front face and the back face of the large wheel into a large end area, a middle area and a small end area respectively, and selecting a reference point in each area respectively
And selecting a reference point in each region of the reversing surface of the bull wheel according to the divided regions, wherein the reference points are respectively
The front turning surface of the small wheel is divided into three areas of a large end area, a middle area and a small end area,selecting three reference points on the small wheel tooth surface, wherein the three reference points are P1 2、P2 2、P3 2Three reference points of different areas of the small gear tooth surface are determined by the large gear tooth surface reference point or the small gear shaping wheel through a meshing equation;
the following design is made for each reference point:
s1, determining design parameters of a needed gear pair, calculating geometric parameters of the gear pair through geometric relations among pitch cone parameters, and calculating parameters of a large wheel forming wheel through parameters of a wheel disc;
s2. Combined meshing equation (v)12n is 0) calculating the adjustment parameter and the curvature parameter of the large turbine;
wherein: v. of12Relative motion speed of two motion curved surfaces; determining the relative movement angular velocity according to the machine tool machining parameters obtained in the step S2 and the relative position relation between the cutter head and the bull wheel so as to obtain the relative movement velocity v12；
n is a common normal vector of the two motion curved surfaces; and determining the cutter parameters obtained in the step S2 to establish a cutter shaping wheel mathematical model, so as to determine the reference point normal vector n.
S3, calculating curvature parameters and unit normal vectors at the reference points of the technological tooth surfaces of the small wheels according to an engagement equation;
s4, calculating small wheel shape-producing wheel parameters by combining the small wheel cutter parameters;
s5, calculating curvature parameters and unit normal vectors at the reference points of the tooth surfaces of the small gear cutting teeth by combining an engagement equation;
s6, establishing a small gear cutting control optimization model; establishing a multi-element nonlinear equation set with the adjustment parameters of the small wheel machine tool as independent variables by assuming that the curvature parameters of the corresponding reference points of the process tooth surface and the gear cutting tooth surface of the small wheel are equal to the unit normal vector, and solving the equation to obtain the optimal machine tool adjustment parameters of the small wheel;
wherein: a is the tooth length direction normal curvature, B is the tooth length direction short-range winding rate, C is the tooth height direction normal curvature, n is the tooth surface normal vector, the superscripts a and B respectively represent the front and back running surfaces, and the subscripts 1 and 2 respectively represent the process tooth surface and the gear cutting tooth surface.
S7, establishing a gear pair assembly mathematical model, and carrying out tooth surface contact analysis on the gear pair to obtain a tooth surface contact track and a transmission error of the gear pair under theoretical installation;
s8, judging whether the tooth surface contact analysis result meets the expected requirement, if not, correcting the basic design parameters and the adjustment parameters of the small wheel machine tool, repeating the steps S1-S6, and if so, performing the step S9;
s9, discretizing a gear surface of a large wheel and a gear surface of a small wheel by a rotating projection method, fitting gear surface data points into a space curve, then fitting the space curve into a space gear surface, carrying out three-dimensional solid modeling by commands such as rotation, trimming, array and the like, carrying out gear surface loading contact analysis on the gear pair under theoretical installation by finite element dynamic simulation, and analyzing the working conditions of the gear pair under different working conditions;
s10, judging whether the tooth surface loading contact analysis meets the expected requirement, if not, correcting the design parameters, the cutter parameters and the small wheel machine tool adjustment parameters, repeating the steps, and if so, performing the step S11;
s11, actually processing a pair of gear pairs through a full numerical control bevel gear machine tool, coating red powder on the front turning surface and the reverse turning surface of the large wheel and the small wheel, performing noise inspection and rolling inspection experiments on the gear pairs on a test bed, correcting design parameters and small wheel machine tool adjustment parameters if the gear pairs do not meet the expected requirements, and finishing the design if the gear pairs meet the expected requirements.
Preferably, the design parameters in step S1 include a modulus, a tooth number, an offset distance, a large gear tooth face width, and an axis intersection angle, the geometric parameters include a midpoint cone distance, a pitch circle diameter, a tooth top height, a tooth root height, a full tooth height, an outer diameter, and a pitch cone angle, the large gear cutter parameters include a cutter radius, a cutter top distance, and a pressure angle, and the large gear shape-producing wheel parameters include a shape-producing surface equation, a unit normal vector, and a unit tangent vector.
Preferably, in step S2, the large-size lathe adjustment parameters include a radial tool position, a tool inclination angle, a tool rotation angle, a vertical wheel position, a machine tool mounting angle, and a lathe position, and the curvature parameters include a tooth length direction normal curvature, a tooth length direction short-range winding rate, and a tooth height direction normal curvature.
Preferably, in steps S3 and S5, the curvature parameters include a tooth length direction normal curvature, a tooth length direction short range winding rate, and a tooth height direction normal curvature.
Preferably, in step S4, the small wheel cutter parameters include cutter radius, cutter tip distance, and pressure angle, and the small wheel shape-generating wheel parameters include a shape-generating surface equation, a unit normal vector, and a unit tangent vector.
Preferably, the judgment in step S8 is based on whether the length, the inclination direction, the included angle with the tooth root direction, and the position and size of the contact ellipse are satisfied, and whether the transmission error curve is smooth and continuous.
Preferably, in step S9, the gear pair operating condition includes a loaded transmission error, a tooth surface contact area, a maximum contact stress, a maximum deformation amount, and a bull wheel rotation speed.
Preferably, in step S11, the test result is normalized such that the tooth surface coloring region is located in the middle of the tooth surface, the shape and size of the contact region are consistent with those of the simulation result, and the noise is lower than 72 DB.
The scheme of the invention has the following beneficial effects:
the invention is applied to the design method of the full-process method for processing the spiral bevel gear (including the hypoid gear), solves the problem that the synchronous adjustment of the two surfaces of the tooth surface contact characteristic is difficult when the spiral bevel gear is processed by the full-process method, can realize the high-efficiency and high-quality manufacture of the spiral bevel gear, is verified that the junction of the subareas of the tooth surfaces is smoothly connected, the contact areas of the two tooth surfaces are positioned in the middle of the tooth surface, presents the inner diagonal angle and has the noise sound pressure of 68 decibels, completely meets the actual design requirement, and effectively solves the industrial problem that the synchronous adjustment of the double surfaces of the spiral bevel gear processed by the full-process method is difficult.
Drawings
FIG. 1 is a general problem of the full process spiral bevel gear tooth flank contact area;
FIG. 2 is a schematic view of a front surface of a bull wheel dividing regions and setting reference points;
FIG. 3 is a schematic illustration of a small wheel tooth flank reference point setting;
fig. 4 is a flow chart of the operation of the present application.
Detailed Description
In order to make the technical problems, technical solutions and advantages of the present invention more apparent, the following detailed description is given with reference to the accompanying drawings and specific embodiments.
As shown in fig. 2 to 4, an embodiment of the present invention provides a design method of a full process spiral bevel gear, including: according to the correct meshing rule of the gear pair, a novel calculation method of adjustment parameters of the spiral bevel gear machine tool, namely a method for controlling and optimizing gear cutting with a large wheel front turning surface divided into three areas and provided with three reference points and a small wheel front turning surface, a reverse turning surface and a tooth bottom part respectively provided with three reference points, is provided. The method is suitable for all spiral bevel gears processed by using a FACE-MILLING method and a FACE-HOBBING method, wherein a small gear tooth surface obtained by calculating a large gear tooth surface is called a small gear process tooth surface, and a small gear tooth surface obtained by calculating a small gear shaping wheel is called a small gear incised tooth surface.
In particular, it relates to
Dividing the front wheel surface into three areas of a large end area I, a middle area II and a small end area III, and respectively selecting three reference points in the three areas (
Subscript 1 represents the front surface of the large wheel, subscript 2 represents the reverse surface of the large wheel, superscript 1 represents the large end region, superscript 2 represents the middle region, and superscript 3 represents the small end region), and three reference points of the reverse surface corresponding to the three reference points
And determining the division of the front vehicle surface area and the setting of reference points as shown in the following figure 2, wherein three groups of machine tool adjustment parameters of the large wheel are determined at the three reference points of the front vehicle surface, so that the three areas of the large wheel tooth surface obtain different tooth surface structure characteristics, and meanwhile, the smooth connection of the junctions of the three areas of the large wheel tooth surface is ensured.
At the same time, three reference points P of small wheel tooth surface are provided1 2、P2 2、P3 2The subscript 1 represents a front face of the small wheel, the subscript 2 represents a reverse face of the small wheel, the subscript 3 represents a bottom face of a tooth groove of the small wheel, the superscript 1 represents a large end region, the superscript 2 represents a middle region, and the superscript 3 represents a small end region); three reference points of different areas of the small wheel tooth surface are determined by a large wheel tooth surface reference point or a small wheel generating wheel through a meshing equation, and the following figure 3 is expressed as a small wheel tooth surface middle area reference point: the three points are respectively the reference points of the positive turning surface, the negative turning surface and the tooth bottom of the tooth profile in the middle area of the pinion, the position characteristics of the tooth surface contact area are controlled by the three reference points during the tooth cutting calculation, and the meshing performance of the gear pair is determined by the curvature nearby the three reference points. Wherein, the reference point P on the front vehicle surface1 2Controlling the contact characteristics of the front surface and the reference point P of the back surface in advance2 2Pre-controlling contact characteristics of the reversing surface, and a third reference point P3 2The geometric parameters of the gear blank can be corrected and calculated; and the tooth surface structure characteristics required by correct meshing of the front face and the back face of the small gear teeth are obtained through calculation and setting of the reference points, and double-face cooperative accurate pre-control is carried out on the meshing performance of the gear pair.
Since each reference point calculation of the large wheel corresponds to one small wheel gear cutting control optimization calculation, the middle area G is used below1 2For calculation, the specific implementation steps are as follows:
the first step is to determine design parameters of the gear pair according to conditions such as rated power, starting torque, load, working form and the like, wherein the design parameters comprise modulus, tooth number, offset distance, large gear tooth face width, shaft intersection angle and the like.
And secondly, calculating the geometric parameters of the gear pair through the geometric relationship among pitch cone parameters, wherein the geometric parameters comprise a midpoint cone distance, a pitch circle diameter, a tooth top height, a tooth root height, a full tooth height, an outer diameter, a pitch cone angle and the like.
And thirdly, calculating the parameters of the large wheel shape-producing wheel by combining the parameters of the large wheel cutter head, wherein the parameters of the large wheel cutter head comprise cutter radius, cutter top distance, pressure angle and the like, and the parameters of the large wheel shape-producing wheel comprise a shape-producing surface equation, a unit normal vector and a unit tangent vector.
And fourthly, respectively calculating adjustment parameters and curvature parameters of the large turbine by combining an engagement equation, wherein the adjustment parameters comprise radial cutter position, cutter inclination angle, cutter rotation angle, vertical wheel position, machine tool mounting angle, bed position and the like, and the curvature parameters comprise tooth length direction normal curvature, tooth length direction short-distance winding rate and tooth height direction normal curvature.
In the fourth step, the meshing equation is meshing equation (v)12n ═ 0), wherein: v. of12Relative motion speed of two motion curved surfaces; determining the relative movement angular velocity according to the machine tool machining parameters obtained in the step S2 and the relative position relation between the cutter head and the bull wheel so as to obtain the relative movement velocity v12。
n is a common normal vector of the two motion curved surfaces; and determining the cutter parameters obtained in the step S2 to establish a cutter shaping wheel mathematical model, so as to determine the reference point normal vector n.
And fifthly, calculating the unit normal vector and the reference point of the technological tooth surface of the small wheel according to the meshing equation.
And sixthly, calculating small wheel shape-producing wheel parameters (including a shape-producing surface equation, a unit normal vector and a unit tangent vector) by combining the small wheel cutter head parameters, wherein the small wheel cutter head parameters include cutter head radius, cutter top distance, pressure angle and the like.
And seventhly, calculating curvature parameters and unit normal vectors at the reference points of the gear surfaces of the small gear cutting teeth by combining an engagement equation, wherein the parameters of the small gear shape-producing wheel comprise a shape-producing surface equation, the unit normal vectors and the unit cutting vectors.
And eighth step, establishing a small gear cutting control optimization model. And establishing a multi-element nonlinear equation set by taking the adjustment parameters of the small wheel machine tool as independent variables and solving the equation to obtain the optimal machine tool adjustment parameters of the small wheel by assuming that the curvature parameters of the corresponding reference points of the process tooth surface and the gear cutting tooth surface of the small wheel are equal to the unit normal vector.
In the eighth step, the first step is carried out,
wherein: a is the tooth length direction normal curvature, B is the tooth length direction short-range winding rate, C is the tooth height direction normal curvature, n is the tooth surface normal vector, the superscripts a and B respectively represent the front and back running surfaces, and the subscripts 1 and 2 respectively represent the process tooth surface and the gear cutting tooth surface.
Ninth, establishing a gear pair assembly mathematical model, writing a program, and performing tooth surface contact analysis (TCA) on the gear pair to obtain a tooth surface contact track and a transmission error of the gear pair under the conditions of theoretical installation and various installation errors;
and step ten, judging whether the tooth surface contact analysis result meets the expected requirement. The tooth surface contact track is mainly determined according to the length, the inclination direction, the included angle with the tooth root direction, the position and the size of a contact ellipse to determine whether the requirement is met. And judging whether the transmission error curve is smooth and continuous.
If the conditions are met, the design meets the expected requirements, the next step is carried out, and if the conditions are not met, the basic design parameters and the adjustment parameters of the small wheel machine tool are corrected.
And elegantly discretizing the tooth surfaces of the large wheel and the small wheel by a rotary projection method, fitting the tooth surface data points into a space curve, fitting the space curve into a space tooth surface, importing the space curve into CAD software, and performing three-dimensional solid modeling by commands of rotation, trimming, array and the like.
And a twelfth step, carrying out tooth surface loading contact analysis (LTCA) on the gear pair under the conditions of theoretical installation and various installation errors through finite element dynamics simulation, and analyzing the working conditions of the gear pair under different working conditions, wherein the working conditions of the gear pair comprise loading transmission errors, tooth surface contact areas, maximum contact stress, maximum deformation, bull wheel rotating speed and the like.
And the thirteenth step is to judge whether the tooth surface loading contact analysis meets the expected requirements. Under the actual working condition, a small wheel is used as a driving wheel, a large wheel is used as a driven wheel, and under different working conditions, if the maximum value of the loading transmission error of the small wheel is periodically changed in a certain interval; the tooth surface contact area is elliptic and is positioned in the middle of the tooth surface, and tooth top contact or tooth root contact does not exist; the maximum contact stress is less than the allowable stress, and the maximum deformation is controlled within a certain range; the rotating speed of the bull wheel is gradually stabilized in a certain numerical range after a period of time; and if the requirements are met, the next step is carried out, and if the requirements are not met, the design parameters, the cutter head parameters and the small wheel machine tool adjustment parameters are corrected.
And sixthly, actually processing a pair of gear pairs through a full numerical control bevel gear machine tool, coating red powder on the front turning surface and the back turning surface of the large wheel and the small wheel, and performing noise inspection and rolling inspection experiments on the gear pairs on a test bed.
And a fifteenth step of judging whether the test result meets the expected requirement. If the tooth surface coloring area is positioned in the middle of the tooth surface, the shape and the size of the contact area are basically consistent with the simulation result, and the noise is lower than 72DB, if the requirements are met, the next step is carried out, and if the requirements are not met, the design parameters and the adjustment parameters of the small wheel machine tool are corrected.
Sixthly, after a series of adjustments, the product meets the design requirements and can be produced in small batches.
The tooth surface of the gear is used as an envelope surface of a cutting edge of the cutter head, the structural characteristics of the tooth surface are important factors influencing the meshing performance and the working life of the gear pair, and the structural characteristics of the tooth surface and the cutter head are particularly important. The method is based on the structural characteristics of a large gear tooth surface and a processing cutter head of a spiral bevel gear, and comprises the steps of dividing a front turning surface of a large gear into three areas, namely a large end area I, a middle area II and a small end area III, and setting three reference points; meanwhile, three reference points are arranged on the concave surface, the convex surface and the bottom of the tooth groove of the small gear tooth profile, the relative position and the relative motion relation between the generating surface and the processed gear are strictly controlled, a small gear tooth cutting control optimization model is established, the optimal small gear machine tool adjustment parameter is calculated by solving a multivariate nonlinear equation set, and the purpose of double-surface cooperative adjustment of the tooth surface contact characteristic can be achieved by tooth surface partition processing.
The results of the optimal machine tool adjustment parameters obtained by partitioning the gear pair are proved to be the most remarkable advantages of the gear pair designed by the improved full-process spiral bevel gear design method that the contact characteristics of the positive turning surface and the negative turning surface of the gear tooth are more in accordance with expected requirements than those of the gear pair designed by the current full-process method, double-side cooperative adjustment is easier, and the correctness of a small-wheel gear cutting control optimization model established by setting three reference points for a large-wheel positive turning surface partition and a small-wheel tooth surface is verified.
The invention is proved to be feasible by experiments, simulation and use. The spiral bevel gear processed by the large gear and the small gear by the spiral generating method is used as a research object, a pair of 11 multiplied by 37 hypoid gears are designed and processed by the improved full-process spiral bevel gear, a gear tooth cutting model is processed based on domestic full-numerical control bevel gear processing equipment, rolling inspection and noise inspection experiments are carried out, a working condition 1440R/MIN is set, and the load is 20 N.M.
The result shows that the boundary of the tooth surface subareas is smoothly connected, the two tooth surface contact areas are positioned in the middle of the tooth surfaces, the inner diagonal angle is presented, the noise sound pressure is 68 decibels, the actual design requirement is completely met, and the industrial problem that the synchronous adjustment of the double-surface contact characteristics of the spiral bevel gear processed by the full-process method is difficult is effectively solved.
While the foregoing is directed to the preferred embodiment of the present invention, it will be appreciated by those skilled in the art that various changes and modifications may be made therein without departing from the principles of the invention as set forth in the appended claims.
Claims (8)
1. A design method of a full-process spiral bevel gear is characterized by comprising the following steps:
dividing the front face and the back face of the large wheel into a large end area, a middle area and a small end area respectively, and selecting a reference point in each area respectively
And selecting a reference point in each region of the reversing surface of the bull wheel according to the divided regions, wherein the reference points are respectively
Divide the front surface of the small wheel intoThree areas of large end area, middle area and small end area, and three reference points P are selected on the small gear tooth surface1 2、P2 2、P3 2Three reference points of different areas of the small gear tooth surface are determined by the large gear tooth surface reference point or the small gear shaping wheel through a meshing equation;
the following design is made for each reference point:
s1, determining design parameters of a needed gear pair, calculating geometric parameters of the gear pair through geometric relations among pitch cone parameters, and calculating parameters of a large wheel forming wheel through parameters of a wheel disc;
s2. combining the meshing equation (v)12n is 0) calculating the adjustment parameter and the curvature parameter of the large turbine;
wherein: v. of12Relative motion speed of two motion curved surfaces; determining the relative movement angular velocity according to the machine tool machining parameters obtained in the step S2 and the relative position relation between the cutter head and the bull wheel so as to obtain the relative movement velocity v12；
n is a common normal vector of the two motion curved surfaces; determining the cutter parameters obtained in the step S2 and establishing a cutter shaping wheel mathematical model so as to determine a reference point normal vector n;
s3, calculating curvature parameters and unit normal vectors at the reference points of the technological tooth surfaces of the small wheels according to an engagement equation;
s4, calculating small wheel shape-producing wheel parameters by combining the small wheel cutter parameters;
s5, calculating curvature parameters and unit normal vectors at the reference points of the tooth surfaces of the small gear cutting teeth by combining an engagement equation;
s6, establishing a small gear cutting control optimization model; establishing a multi-element nonlinear equation set with the adjustment parameters of the small wheel machine tool as independent variables by assuming that the curvature parameters of the corresponding reference points of the process tooth surface and the gear cutting tooth surface of the small wheel are equal to the unit normal vector, and solving the equation to obtain the optimal machine tool adjustment parameters of the small wheel;
wherein: a is the tooth length direction normal curvature, B is the tooth length direction short-range winding rate, C is the tooth height direction normal curvature, n is the tooth surface normal vector, the superscripts a and B respectively represent the front turning surface and the backing-up surface, and the subscripts 1 and 2 respectively represent the process tooth surface and the gear cutting tooth surface;
s7, establishing a gear pair assembly mathematical model, and carrying out tooth surface contact analysis on the gear pair to obtain a tooth surface contact track and a transmission error of the gear pair under theoretical installation;
s8, judging whether the tooth surface contact analysis result meets the expected requirement, if not, correcting the basic design parameters and the adjustment parameters of the small wheel machine tool, repeating the steps S1-S6, and if so, performing the step S9;
s9, discretizing the tooth surface of the large wheel and the tooth surface of the small wheel by a rotating projection method, fitting tooth surface data points into a space curve, then fitting the space curve into a space tooth surface, performing three-dimensional solid modeling by commands of rotation, trimming, array and the like, performing tooth surface loading contact analysis on the gear pair under theoretical installation by finite element kinetic simulation, and analyzing the working conditions of the gear pair under different working conditions;
s10, judging whether the tooth surface loading contact analysis meets the expected requirement, if not, correcting the design parameters, the cutter parameters and the small wheel machine tool adjustment parameters, repeating the steps, and if so, performing the step S11;
s11, actually processing a pair of gear pairs through a full numerical control bevel gear machine tool, coating red powder on the front turning surface and the reverse turning surface of the large wheel and the small wheel, performing noise inspection and rolling inspection experiments on the gear pairs on a test bed, correcting design parameters and small wheel machine tool adjustment parameters if the gear pairs do not meet the expected requirements, and finishing the design if the gear pairs meet the expected requirements.
2. The design method of the full process spiral bevel gear according to claim 1, wherein: the design parameters in the step S1 include a modulus, a tooth number, an offset distance, a large gear tooth face width, and an axis intersection angle, the geometric parameters include a midpoint cone distance, a pitch circle diameter, a tooth top height, a tooth root height, a full tooth height, an outer diameter, and a pitch cone angle, the parameters of the large gear cutter head include a cutter head radius, a cutter top distance, and a pressure angle, and the parameters of the large gear shape-producing wheel include a shape-producing face equation, a unit normal vector, and a unit tangent vector.
3. The design method of the full process spiral bevel gear according to claim 1, wherein: in step S2, the large turbine adjustment parameters include a radial tool position, a tool inclination angle, a tool rotation angle, a vertical wheel position, a machine tool mounting angle, and a bed position, and the curvature parameters include a tooth length direction normal curvature, a tooth length direction short-distance winding rate, and a tooth height direction normal curvature.
4. The design method of the full process spiral bevel gear according to claim 1, wherein: in steps S3 and S5, the curvature parameters include a tooth length direction normal curvature, a tooth length direction short-range winding rate, and a tooth height direction normal curvature.
5. The design method of the full process spiral bevel gear according to claim 1, wherein: in step S4, the small wheel cutter parameters include cutter radius, cutter tip distance, and pressure angle, and the small wheel profiling wheel parameters include profiling surface equation, unit normal vector, and unit tangent vector.
6. The design method of the full process spiral bevel gear according to claim 1, wherein: the judgment in step S8 is based on whether the length, the inclination direction, the included angle with the tooth root direction, and the position and size of the contact ellipse determine that the requirements are met, and whether the transmission error curve is smooth and continuous.
7. The design method of the full process spiral bevel gear according to claim 1, wherein: in step S9, the gear pair operating conditions include a loaded transmission error, a tooth surface contact area, a maximum contact stress, a maximum deformation amount, and a large wheel rotation speed.
8. The design method of the full process spiral bevel gear according to claim 1, wherein: in step S11, the standard of the test result is that the tooth surface coloring region is located in the middle of the tooth surface, the shape and size of the contact region are consistent with those of the simulation result, and the noise is lower than 72 DB.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN115502487A (en) * | 2022-08-22 | 2022-12-23 | 南京工业大学 | Siemens 840D system-based tooth surface modification method for spiral bevel gear small wheel |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN115502487A (en) * | 2022-08-22 | 2022-12-23 | 南京工业大学 | Siemens 840D system-based tooth surface modification method for spiral bevel gear small wheel |
| CN115502487B (en) * | 2022-08-22 | 2024-05-07 | 南京工业大学 | Spiral bevel gear pinion tooth surface shaping method based on Siemens 840D system |
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