CN112207368A - Method for processing and controlling tooth surface texture of spiral bevel gear by rotary ultrasonic hobbing - Google Patents

Method for processing and controlling tooth surface texture of spiral bevel gear by rotary ultrasonic hobbing Download PDF

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CN112207368A
CN112207368A CN202011077506.4A CN202011077506A CN112207368A CN 112207368 A CN112207368 A CN 112207368A CN 202011077506 A CN202011077506 A CN 202011077506A CN 112207368 A CN112207368 A CN 112207368A
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tooth surface
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韩佳颖
董昊
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Tianjin University of Technology
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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23F—MAKING GEARS OR TOOTHED RACKS
    • B23F9/00—Making gears having teeth curved in their longitudinal direction
    • B23F9/08—Making gears having teeth curved in their longitudinal direction by milling, e.g. with helicoidal hob
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23F—MAKING GEARS OR TOOTHED RACKS
    • B23F23/00—Accessories or equipment combined with or arranged in, or specially designed to form part of, gear-cutting machines
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Abstract

A method for processing and controlling tooth surface textures of a spiral bevel gear by rotary ultrasonic hobbing. The problems that the milling tooth surface precision of the spiral bevel gear is not high and the processing means of the tooth surface appearance is not enough are solved, an ideal fish scale pattern is formed, and the surface friction performance is effectively changed. The method comprises the following steps: 1) giving out the ultrasonic composite expansion of the blade to process the motion tracks of the single blade and the multiple blades and forming a tooth surface equation; 2) and determining the correlation between the tooth surface texture and the control parameters by a tooth surface processing method to form a simulation method for controlling the tooth surface texture.

Description

Method for processing and controlling tooth surface texture of spiral bevel gear by rotary ultrasonic hobbing
Technical Field
The invention belongs to the field of computer-aided manufacturing, and relates to a gear machining and manufacturing method, a complex curved surface machining method and an ultrasonic-assisted machining method.
Background
The early-stage research shows that the envelope grains of the milled and developed tooth surface are the main cause of tooth surface noise abrasion, the residual height of the envelope grains is large and is in a prismatic shape, a complete oil film is difficult to form, and the envelope grains are uniformly distributed on the tooth surface and are easy to generate periodic noise in the meshing process. The surface texture is a raised or depressed micro structure with certain size, shape and arrangement, can change the surface appearance, influence the contact and lubrication state between friction pairs, and introduce the ultrasonic processing technology for improving the tooth surface precision problem caused by the tooth surface texture. A large number of researches prove that the ultrasonic processing can refine surface textures and reduce cutting force. The technology that can effectively be applied is the ultrasonic machining technology of small tool head more ripe at present, adopts one-dimensional longitudinal vibration theory, still has some problems:
1) when ultrasonic processing is carried out, even if the load is stable, the internal reasons can cause the self parameters to change, for example, the working frequency of the generator does not change along with the change, and the transducer works in a detuning state, so that the efficiency is reduced, and even the vibration is stopped.
2) The ultrasonic milling process has high requirements on a control system of a machine tool.
3) If ultrasonic machining is adopted, different from other ultrasonic machining methods, the machining tool path of the spiral bevel gear is complex, the change form of the micro texture of the tooth surface is various and difficult to describe, and how to obtain the required tooth surface texture becomes a main problem needing to be researched.
Disclosure of Invention
The invention aims to solve the problem that a finished oil film is difficult to form due to noise abrasion of a tooth surface, and provides a method for processing and controlling tooth surface textures of a spiral bevel gear by rotary ultrasonic hobbing.
The invention provides a method for processing and controlling tooth surface textures of a spiral bevel gear by rotary ultrasonic hobbing, which comprises the following steps:
1 st, processing of rotary ultrasonic generating tooth surface
1.1, movement model of cutting edge under cutter coordinate system
In the cutter head coordinate system Oc(xc,yc,zc) And taking one blade in the cutter head, wherein the top point of the outer cutting edge of the blade is D. An axial ultrasonic excitation with frequency f and amplitude A is applied to the cutter head. The movement of the hobbing cutter blade in an ideal state can be understood as that the blade makes circular motion around an original point O in a cutter head coordinate system XOZ plane, the blade also vibrates along the Z-axis direction, and the radius of the cutter head at the cutter point vertex D of the cutting edge is RcElapsed time T0The three-dimensional coordinate of the movement of the tool tip of the rear cutting edge can be described as
Figure BDA0002717373040000021
In formula (1): n is the rotational speed of the cutter head, and f represents the frequency of the ultrasonic vibration. The cutting surface of the blade is a scanning surface of the cutting edge along the motion track of the top point of the tool nose, theta1And the initial phase angle corresponding to the cutter point vertex of the first cutter tooth in the initial moment when the cutter point vertex of the first cutter tooth is subjected to ultrasonic vibration along the axial direction is shown. When t is 0, the above equation can still represent the coordinate position of the first blade cutting edge vertex.
1.2 motion model of multiple knives
And a plurality of groups of blades are uniformly distributed on the milling cutter disc, and the total number of the blades is recorded as m. Let i denote the ith blade,
Figure BDA0002717373040000022
showing the initial phase angle of the 1 st blade rotating along with the cutter head,
Figure BDA0002717373040000023
represents the initial phase angle of the rotation of the ith blade, then
Figure BDA0002717373040000024
Wherein,
Figure BDA0002717373040000025
represents the initial phase angle of the rotation of the ith blade, wherein i is 1, 2, 3 … and m;
suppose θ1Representing the corresponding initial phase angle, theta, of the 1 st blade when ultrasonically vibratediAnd the initial phase angle corresponding to the cutter point vertex of the ith cutter tooth at the initial moment when ultrasonic vibration is carried out along the axial direction is shown. According to the condition that the ultrasonic propagation time is the same as the milling time of the milling cutter disc, the phase variation of the cutting edge
Figure BDA0002717373040000026
The relation with the ultrasonic phase variation delta theta is
Figure BDA0002717373040000027
Then
Figure BDA0002717373040000028
Wherein if theta1Representing the corresponding initial phase angle, theta, of the 1 st blade when ultrasonically vibratediRepresenting an initial phase angle corresponding to the cutter point vertex of the ith cutter tooth at the initial moment when ultrasonic vibration is carried out along the axial direction;
coordinate of tool nose vertex D corresponding to ith blade
Figure BDA0002717373040000029
The ultrasonic phase angle between two adjacent blades is
Figure BDA00027173730400000210
1.3 tooth surface texture forming model
The milling cutter head for machining the spiral bevel gear machine tool is in a frustum shape, and the cutting edge performs compound rotation ultrasonic machining motion to cut the tooth surface of a workpiece in the meshing process. When one cutting edge rotates through the space between the cutting edges, the next cutting edge begins to cut the tooth blank. Therefore, the machining is repeated and interrupted, each cutting edge mills a piece of metal, and the tooth surface is milled after one cycle of machining.
The hobbing cutting process can be quantified by calculating the total number N of the cutting blades, wherein the total number N of the cutting blades refers to the number of the cutting blades which need to participate in cutting when a certain tooth surface is machined, and the cutting process is finished when the N cutting blades finish cutting; assuming that the time of cutting one tooth surface is T, the rotating speed of the cutter head is N, the total number of the plurality of groups of blades on the cutter head is m, and the calculation formula for determining the total number N of the cutting blades is
N＝mnT (7)
During the whole milling processThe milling tooth surface is formed by processing the milling cutter disc along the motion track of the milling cutter disc relative to the tooth blank, and therefore a model of the milling cutter disc is established. In the cutter head coordinate system Oc(xc,yc,zc) Center axis ZCAnd the direction of the axis of the milling cutter disc is vertical to the paper surface and faces outwards. According to the discreteness of the cutting edges, the milling cutter disc consists of m cutting edges, and the initial angle of any milling edge i distributed on the circumference of the milling cutter disc is
Figure BDA0002717373040000037
OCThe vector to any point P on the milling edge is represented as
Figure BDA0002717373040000031
The normal vector is expressed as
Figure BDA0002717373040000032
In the formula: alpha is alphaeThe pressure angle, expressed as-alpha, for the inner cutting edge brought into the above formulaiR is the radius of the cutter head, and u is the distance between the generatrix and the bottom surface of the circular truncated cone.
For numerical control generating milling processing by adopting a tool inclination processing method, the extracted process parameters comprise the rotating speed of a milling cutter disc n and the rotating angle range [ q ] of a cradle0,qs]And cradle speed omegaq. Calculating the time T of each tooth surface to be milled
Figure BDA0002717373040000033
Cutting time t (t)<T), cradle angle q from initial cradleoRotate to qt
qt＝q0+ωqt (11)
For the milling edge i, from the initial angle
Figure BDA0002717373040000034
Rotate to
Figure BDA0002717373040000035
Figure BDA0002717373040000036
The relative movement between the milling cutter head and the blank is transformed by matrix M (q)t) Represents; the relevant vector of the cutting edge i is converted into a coordinate vector of any point on the curved surface j of the scanning surface through matrix transformation
Figure BDA0002717373040000041
Normal vector is
Figure BDA0002717373040000042
Performing ultrasonic movements on the basis of milling movements, OCThe vector to any point P on the milling edge i is represented as
Figure BDA0002717373040000043
The normal vector is expressed as
Figure BDA0002717373040000044
The coordinate vector of any point on the scanning surface j of the milling edge i is expressed as
Figure BDA0002717373040000045
The normal vector is expressed as
Figure BDA0002717373040000046
2 nd, rotating compound ultrasonic milling tooth surface texture control
2.1, simulation method
Based on the analysis of the cutting process, the relative motion of the cutter head and the workpiece is reduced to the relative motion of the blade and the workpiece. And (3) dispersing the cutting process into a geometric operation of Boolean reduction between the wheel blank and the blade scanning body, wherein the quantity of the dispersed blades is the total quantity N of the cutting blades in the formula (7). The method for establishing the simulation model of the blade scanning body comprises the following steps: firstly, the cutter head coordinate system Oc(xc,yc,zc) The motion model of the lower blade edge obtains the trajectory line that the blade tip stroked under high frequency vibration. Then, the trajectory line is used as a guide line, the contour line of the section of the blade is swept along the guide line, and the generated rotating body after the sweep is the simulation cutter head.
In the simulation cutting process, the blade scanning body follows the motion M (q) in the tooth slot every time one cutting is carried outt) And when the wheel blank is moved to the corresponding pose, the wheel blank Boolean blade scans the body. After all Boolean subtraction operations are completed, the envelope surface of the tool scanning body, namely the machined workpiece tooth surface, is left on the tooth blank.
Texture microconstituent shape control
Simulation results show that the ultrasonic phase angle delta theta between cutting edges is a determining factor of the shape of the tooth surface texture, the phase difference between two adjacent cutters influences the regional morphology formed between the two cutter textures, the microscopic morphology of the whole tooth surface is further influenced, the ultrasonic phase angle delta theta is controlled by the number N of the cutters, the rotating speed N of the cutter head and the ultrasonic frequency f, and when the cutter head rotates for one cutter blade interval
Figure BDA0002717373040000051
In order to secure the ultrasonic phase interval, Δ θ was set at 180 ° to obtain the mesh texture, and set at 0 ° to obtain the wave-like texture. In the range of 0-180 DEG or 180-360 DEG, the wavy texture gradually changes into the net-like texture with the change of delta theta.
2.3 control of the density of the knifelines
And (4) determining the density of the texture of the tooth surface according to cutting simulation of the processing method of the step 2.1. The microscopic appearance of the tooth surface in the ultrasonic hobbing processing is influenced by two directions of a knife grain direction and a vertical grain direction. The frequency f and the total number N of the participating cutting blades control the blade tracks along the knife line direction, the ultrasonic frequency f or the total number N of the participating cutting blades are increased, and the wave crests and wave troughs in the knife line direction are increasingly dense. And conversely, become loose. The amplitude A and the total number N of the participated cutting blades control the cutting lines in the direction vertical to the grain direction, the amplitude and the total number N of the participated cutting blades are increased, and the cutting lines in the direction of the cutting teeth are more and more dense. And conversely, become loose. The large tooth surface texture of the pressure angle is sparse, and the small tooth surface texture of the pressure angle is dense; the larger the amplitude is, the more overlapped parts of the knife grains are, and the closed texture is easily formed, so that the tooth surface texture is controlled by controlling the ultrasonic phase angle delta theta.
The invention has the advantages and positive effects that:
the method extracts the geometric characteristics and the processing parameters of the cutter, describes the total number of cutting blades participating in cutting, establishes a motion model of a cutting edge under a cutter head coordinate system, further generates a multi-cutter motion model, realizes the association of tooth surface textures and the parameters through the simulation of the model, and determines the method for controlling the tooth surface textures.
The invention applies ultrasonic processing to the milling of the spiral bevel gear, and the ultrasonic processing forms reticular microscopic lines on the surface of the gear, thereby increasing the thickness and the performance of a lubricating oil film, reducing the friction and the abrasion, reducing the meshing noise of the gear and prolonging the service life of the gear.
Drawings
Fig. 1 is a flow chart of ultrasonic-assisted hobbing spiral bevel gear forming.
Fig. 2 is a motion model of a rotary ultrasonic milling cutter head.
Fig. 3 is a single-cutter tooth motion trajectory.
Fig. 4 is an analysis of tooth surface texture.
Fig. 5 is a simulated cutter head.
FIG. 6 is a tooth surface texture at different amplitudes and ultrasonic phase angles. In the figure, a is the tooth surface texture at an ultrasonic phase angle of 0 ° and an amplitude of 0.05; b is the tooth surface texture at an ultrasonic phase angle of 180 DEG and an amplitude of 0.05; c is the tooth surface texture at an ultrasonic phase angle of 0 deg., and an amplitude of 0.02.
Fig. 7 is a variation of tooth surface texture with Δ θ.
Detailed Description
Embodiment 1 simulation method for ultrasonic-assisted milling of tooth surface of spiral bevel gear
TABLE 1 simulation milling of the Small wheels Main parameters
Practice of Simulation (Emulation)
Frequency of 20000 2000
Amplitude um 10 50
Small wheel main shaft speed rpm 326 326
Cutting time s of small wheel per tooth 20 5
Number of blades on cutter head 4 4
Total number of blades participating in cutting 434.67 75
1 st, simulation method
According to the hobbing simulation principle and relevant parameters, simulation of the whole machining engineering is simulated in Solidworks, and a bevel gear with a real tooth surface is obtained by using a pair of small wheels in a digital hypoid gear. On the basis of analyzing the ultrasonic rolling cutting mechanism, single-side rolling cutting is carried out, the concave surface of the small wheel is cut by an outer cutter, and the tooth surface appearance after ultrasonic rolling cutting is observed.
Because of the limitation of software and hardware of the current computer, the ultrasonic frequency in the simulation machining process can not realize the simulation of the actual frequency, if the actual machining frequency is f ═ 20KHz, the simulation frequency f ═ 2KHz is taken, and the simulation tooth surface is equivalent to the amplification of the actual machining result by 10 times. As shown in fig. 3, the three-dimensional trajectory of the blade motion can be obtained by setting the frequency f to 2KHz and the amplitude a to 50 um.
As shown in fig. 4, the milling cutter for machining the spiral bevel gear is a disc milling cutter, blades on a cutter head have certain intervals, the tooth surface of a workpiece is cut in the meshing process, and one tooth surface is cut after one tooth cutting cycle machining.
Based on the analysis of the cutting process, the cutter head is decomposed into blades, and the relative motion of the cutter head and the workpiece is simplified into the relative motion of the blades and the workpiece. And dispersing the cutting process into the geometric operation of Boolean reduction between the wheel blank and the cutter tooth scanning body, wherein the number of the dispersed blades is the total number N of the cutting blades. The method for establishing the simulation model of the blade scanning body comprises the following steps: as shown in fig. 2, a motion model of the cutting edge under the cutter head coordinate system is firstly established, and a track line which is drawn by the cutting edge under the condition of high-frequency vibration of the cutting blade is obtained. Then, the trajectory line is used as a guide line, the contour line of the cross section of the blade is swept along the guide line, and the generated rotating body after the sweep is the simulation cutter head as shown in fig. 5.
The coordinate vector of any point on the scanning surface j of the milling edge i is expressed as
Figure BDA0002717373040000071
The normal vector is expressed as
Figure BDA0002717373040000072
In the simulation cutting process, every time one cutting is carried out, the cutter tooth scanning body moves to a certain position in the tooth socket and follows the motion M (q)t) And moving to the corresponding pose, and scanning the body by the wheel blank Boolean reducing blade. The geometry that is subtracted is exactly the overlap area that exists between the tooth scan and the wheel blank. After all Boolean subtraction operations are completed, the envelope surface of the tool scanning body, namely the machined workpiece tooth surface, is left on the tooth blank.
Texture microconstituent shape control
And (4) determining the shape of the tooth surface texture microscopic unit according to the cutting simulation of the processing method in the step 1. As shown in fig. 7, the simulation results show that the ultrasonic phase angle Δ θ between the cutting edges is a determining factor of the shape of the tooth surface texture, and Δ θ is set at 180 ° to obtain the web texture and set at 0 ° to obtain the wavy texture. In the range of 0-180 DEG or 180-360 DEG, the wavy texture gradually changes into the net-like texture with the change of delta theta. Simulation results prove that the ultrasonic phase angle delta theta of the example can obtain the reticular tooth surface texture when not being positioned in the range of [ -60 degrees, 60 degrees ].
3, control of texture density
The density of the tooth surface texture is determined according to the cutting simulation of the step 1 machining method, as shown in fig. 6. The microscopic appearance of the tooth surface in the ultrasonic hobbing processing is influenced by two directions of a knife grain direction and a vertical grain direction. The frequency f and the total number N of the cutting blades control the blade tracks along the knife line direction, the ultrasonic frequency f or the total number N of the cutting blades are increased, and the wave crests and wave troughs in the knife line direction are increasingly dense. And conversely, become loose. The amplitude A and the total number N of the cutting blades control the cutter grains in the direction vertical to the grains, the amplitude and the total number N of the cutter head are increased, and the cutter grains in the cutter tooth direction are increasingly dense. And conversely, become loose. The large tooth surface texture of the pressure angle is sparse, and the small tooth surface texture of the pressure angle is dense; the larger the amplitude is, the more overlapped parts of the knife grains are, and the closed grains are easy to form.

Claims (1)

1. A method for processing and controlling tooth surface textures of a spiral bevel gear by rotary ultrasonic hobbing is characterized by comprising the following steps:
1 st, processing of rotary ultrasonic generating tooth surface
1.1, movement model of cutting edge under cutter coordinate system
In the cutter head coordinate system Oc(xc,yc,zc) Taking one blade in the cutter head, wherein the vertex of the outer cutting edge of the blade is D, applying axial ultrasonic excitation with the frequency of f and the amplitude of A to the cutter head, wherein the motion of the hobbing blade in an ideal state can be understood as that the blade makes circular motion around an original point O in a cutter head coordinate system XOZ plane, and simultaneously the blade also vibrates along the Z-axis direction, and the radius of the cutter head at the vertex D of the cutting edge is RcElapsed time T0The three-dimensional coordinate of the movement of the tool tip vertex of the rear cutting edge is described as
Figure FDA0002717373030000011
In formula (1): n is the rotation speed of the cutter head, f is the frequency of ultrasonic vibration, the cutting surface of the blade is a scanning surface of the cutting edge along the motion track of the top point of the tool nose, and theta1The method comprises the steps that an initial phase angle corresponding to the fact that the tool nose vertex of the first blade tooth is subjected to ultrasonic vibration along the axial direction at the initial moment is shown, and when t is 0, the above formula can still show the coordinate position of the tool nose vertex of the first blade;
1.2 motion model of multiple knives
A plurality of groups of blades are uniformly distributed on the milling cutter disc, and the total number of the blades is recorded as m; let i denote the ith blade,
Figure FDA0002717373030000015
showing the initial phase angle of the 1 st blade rotating along with the cutter head,
Figure FDA0002717373030000016
represents the initial phase angle of the rotation of the ith blade, then
Figure FDA0002717373030000012
Wherein,
Figure FDA0002717373030000017
represents the initial phase angle of the rotation of the ith blade, wherein i is 1, 2, 3 … and m;
according to the condition that the ultrasonic propagation time is the same as the milling time of the milling cutter disc, the phase variation of the cutting edge
Figure FDA0002717373030000018
The relation with the ultrasonic phase variation delta theta is
Figure FDA0002717373030000013
Then
Figure FDA0002717373030000014
Wherein if theta1Representing the corresponding initial phase angle, theta, of the 1 st blade when ultrasonically vibratediRepresenting an initial phase angle corresponding to the cutter point vertex of the ith cutter tooth at the initial moment when ultrasonic vibration is carried out along the axial direction;
the coordinate of the tool nose vertex D corresponding to the ith blade
Figure FDA0002717373030000021
The ultrasonic phase angle between two adjacent blades is
Figure FDA0002717373030000022
1.3 tooth surface texture forming model
The milling cutter disc for machining the spiral bevel gear machine tool is in a frustum shape, cutting edges perform compound rotating ultrasonic machining motion in the meshing process to cut the tooth surfaces of workpieces, when one cutting edge rotates at intervals between the cutting edges, the next cutting edge starts to cut tooth blanks, repeated intermittent machining is carried out, each cutting edge mills a metal, and the tooth surfaces are milled after one cycle of machining;
the hobbing cutting process can be quantified by calculating the total number N of the cutting blades, wherein the total number N of the cutting blades refers to the number of the cutting blades which need to participate in cutting when a certain tooth surface is machined, and the cutting process is finished when the N cutting blades finish cutting; assuming that the time of cutting one tooth surface is T, the rotating speed of the cutter head is N, the total number of the plurality of groups of blades on the cutter head is m, and the calculation formula for determining the total number N of the cutting blades is
N＝mnT (7)
In the whole milling process, the milling tooth surface is formed by processing the milling cutter disc along the motion track of the milling cutter disc relative to the tooth blank, so that a model of the milling cutter disc is established; in the cutter head coordinate system Oc(xc,yc,zc) Center axis ZCThe milling cutter disc is composed of m cutting edges according to the discreteness of the cutting edges, and the initial angle of any milling edge i distributed on the circumference of the milling cutter disc is
Figure FDA0002717373030000025
OCThe vector to any point P on the milling edge is represented as
Figure FDA0002717373030000023
The normal vector is expressed as
Figure FDA0002717373030000024
In the formula: alpha is alphaeThe pressure angle, expressed as-alpha, for the inner cutting edge brought into the above formulaiR is the radius of the cutter head, and u represents the distance between a generatrix and the bottom surface of the circular truncated cone;
for numerical control generating milling processing by adopting a tool inclination processing method, the extracted process parameters comprise the rotating speed of a milling cutter disc n and the rotating angle range [ q ] of a cradle0,qs]And cradle speed omegaqCalculating the time T of each tooth surface to be milled
Figure FDA0002717373030000031
Cutting time t, t<T, cradle angle q from initial cradle0Rotate to qt
qt＝q0+ωqt (11)
For the milling edge i, from the initial angle
Figure FDA00027173730300000310
Rotate to
Figure FDA00027173730300000311
Figure FDA0002717373030000039
The relative movement between the milling cutter head and the blank is transformed by matrix M (q)t) Represents; the relevant vector of the cutting edge i is converted into a coordinate vector of any point on the curved surface j of the scanning surface through matrix transformation
Figure FDA0002717373030000034
Normal vector is
Figure FDA0002717373030000035
Performing ultrasonic movements on the basis of milling movements, OCThe vector to any point P on the milling edge i is represented as
Figure FDA0002717373030000032
The normal vector is expressed as
Figure FDA0002717373030000033
The coordinate vector of any point on the scanning surface j of the milling edge i is expressed as
Figure FDA0002717373030000036
The normal vector is expressed as
Figure FDA0002717373030000037
2 nd, rotating compound ultrasonic milling tooth surface texture control
2.1 texture micro-unit shape control
The ultrasonic phase angle delta theta is mainly related to the ultrasonic phase angle delta theta between cutting edges, the phase difference between two adjacent cutters influences the regional morphology formed between two cutter grains, the microscopic morphology of the whole tooth surface is further influenced, the ultrasonic phase angle delta theta is controlled by the number N of blades, the rotating speed N of a cutter head and the ultrasonic frequency f, and when the cutter head rotates for one blade interval
Figure FDA0002717373030000038
In order to ensure the ultrasonic phase interval, the design
The ultrasonic phase interval is 180 +/-30 degrees within the fluctuation range of the frequency f +/-100 and n +/-0.5;
2.2 control of the density of the knifelines
Determining the density of the texture of the tooth surface according to cutting simulation of the control method of the step 2.1, wherein the microscopic morphology of the tooth surface in ultrasonic hobbing processing is influenced by two directions of a 'direction along the texture' and a 'direction perpendicular to the texture', the blade track along the texture direction is controlled by the frequency f and the total number N of the participated cutting blades, the ultrasonic frequency f or the total number N of the participated cutting blades is increased, the 'wave crest-wave trough' in the texture direction is increasingly dense, and otherwise, the tooth surface becomes loose; the amplitude A and the total number N of the participated cutting blades control the cutter lines in the direction vertical to the grain direction, the amplitude and the total number N of the participated cutting blades are increased, the cutter lines in the cutter tooth direction are increasingly dense, and otherwise, the cutter lines are more sparse; the large tooth surface texture of the pressure angle is sparse, and the small tooth surface texture of the pressure angle is dense; the larger the amplitude is, the more overlapped parts of the knife grains are, and the closed texture is easily formed, so that the tooth surface texture is controlled by controlling the ultrasonic phase angle delta theta.
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Cited By (2)

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Publication number Priority date Publication date Assignee Title
CN114578760A (en) * 2022-01-29 2022-06-03 大连理工大学 Post-processing method for ultrasonic cutting of straight-edge sharp knife
CN114770217A (en) * 2022-05-05 2022-07-22 清华大学 Processing method and device for asymmetric bionic fish scale type microstructure

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