JPH09212222A - Machining simulation system for gear and simulation method - Google Patents

Abstract

PROBLEM TO BE SOLVED: To make it possible to set optimum gear specifications, machining tool shapes, etc., in advance by giving various basic dimensions of a gear to be machined and factors regarding the gear machining as parameters to a machining simulation system. SOLUTION: This system is composed of a graphics output device 20 as an output means, a floppy disk drive(FDD) 22 as an input means, an OS (operating system) 24 which performs basic control over a CPU 12, a RAM 26 which temporarily stores arithmetic results, a solver part 28 as an analyzing means stored with programs for machining simulation, a data base 30, etc. Then various basic dimensions that the gear to be machined has, various basic dimensions of an opposite gear to be meshed as to the gear machining, tool information used by a machining means, etc., are given as parameters to the machining simulation system 10 and the gear shape can be simulated almost in the actual machining state.

Description

Detailed Description of the Invention

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a machining simulation system and a simulation method in a machining process by a numerically controlled machine tool (M / C) in a gear manufacturing process, and particularly to basic specifications of a gear to be machined. ,
By giving factors (factors) related to gear machining to the machining simulation system as parameters, the gear shape is simulated in a state close to actual machining to determine the interference state, and the optimal gear specifications and tool shape in M / C are pre-determined. The present invention relates to a gear machining simulation system and a simulation method capable of setting the above items.

[0002]

2. Description of the Related Art Conventionally, as an analysis technique in the manufacturing process of a gear of this type, there is a technique disclosed in Japanese Patent Application Laid-Open No. 6-109593. In this technology, in addition to the data of a gear set consisting of a pinion and a gear, the tooth surface data of the pinion and the gear measured by a three-dimensional measuring device after each processing of the gear set is input to a three-dimensional CAD device, Based on the specification data of the set and the tooth surface data,
A three-dimensional CA is formed by forming a partial model of a pinion in the same coordinate system and a partial model of a gear meshing with the partial model.
This is to obtain meshing information by performing a simulation on the D device.

[0003]

However, although the above-mentioned prior art is effective as a method for analyzing gear meshing information, it is not a method for analyzing the machining process of the gear itself, and therefore M / When the gear is machined by C, it is impossible to quantitatively or visually grasp and judge the machining shape of the gear, the interference state of the tool to be machined, and the meshing state with the mating gear. At present, it is entrusted to such rules of thumb.

Therefore, if the gears are not actually processed to engage with each other, the goodness and badness of the gears cannot be specified, and an abnormal noise is generated due to the interference caused by the engagement, resulting in a product noise. There was an inconvenience that the quality was greatly affected.

The present invention solves the above-mentioned inconvenience, and the basic specifications of the gear to be machined and factors (factors) related to the gear machining are given as parameters to the machining simulation system to realize the actual machining. A gear machining simulation system that simulates the gear shape in a close state, determines the interference state between the gear and the tool, the interference state between the gear and the mating gear, and can set the optimal gear specifications and machining tool shape in advance. The purpose is to provide a simulation method.

[0006]

In order to achieve the above object, the present invention provides a roughened gear work,
When machining the gear work into a gear having a specific shape by a numerically controlled machine tool, it is a gear machining simulation system for simulating the machining state and determining the tool shape from the result, which is a basic model of the gear. An input means for inputting an element, basic specifications of a mating gear that meshes with the gear, and tool information mounted on a numerically controlled machine tool used in the step of machining the gear work to a machining simulation system; Based on each input information input from the means, simulate the machining state of the gear work, check the interference between the gear work and the tool in the machining state, and the meshing state of the gear and the mating gear after machining And a simulation means for performing interference check in the meshed state, Characterized in that it is constituted by an output means for outputting an interference check result by.

Further, according to the present invention, when a rough-worked gear work is machined into a gear having a specific shape by a numerically controlled machine tool, a machining state of the gear work is simulated. A machining simulation method of a gear for determining a tool shape, the step of inputting the basic specifications of the gear to a machining simulation system, and the tool information of a tool mounted on the numerically controlled machine tool to the machining simulation system. The step of inputting, the step of inputting the basic specifications of the mating gear that meshes with the gear to the processing simulation system, and the processing state of the gear work is simulated based on the input information that has been input, and the processing Step of checking the interference between the gear work and the tool in the state, Based on the information, a step of simulating the meshing state of the gear after machining and the mating gear and performing an interference check in the meshing state, and a tool shape for the gear work and a gear specification are determined from the interference check result. And the step of performing.

[0008]

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS The gear machining simulation system and simulation method according to the present invention will be described below in detail with reference to the accompanying drawings.

FIG. 1 is a block diagram showing the configuration of a gear machining simulation system 10 according to the present invention.

The machining simulation system 10 controls the overall control of the system 10 by a CPU 12, a CRT 14 as a display means, a keyboard 16 and a mouse 18 as input means arranged on the CRT 14, and an output means. Graphic output device 20, floppy disk device (FDD) 22 as an input / output means, and CPU 1
OS (operating system) that performs the basic control of 2
24, a RAM 26 for temporarily storing a calculation result, a solver unit 28 as an analysis means in which a program for performing a machining simulation according to the present invention is stored, and various data necessary for performing a machining simulation. It is composed of an accumulated database (storage device) 30.

Specifically, the solver unit 28 selects each machining simulation program stored in a plurality of files set in the magnetic disk device (HDD) 100, and selects and executes each machining simulation program. It is composed of a graphical user interface processing program such as a menu screen, and the database 30 has identification information of various gears to be machined, basic specifications of gears, basic specifications of mating gears that mesh with the gears, and various gears. Various numerically controlled machine tools (M /
Parameters used when performing a machining simulation, such as tool information attached to C) and M / C characteristic information unique to the various numerically controlled machine tools, are accumulated.

FIG. 1 shows the schematic operation and operation of the gear machining simulation system 10 configured as described above.
Will be described with reference to the block diagram of FIG. 4, the solver block diagram of FIG. 2, the process flowchart of FIG. 3, and the display screen displayed on the CRT 14 shown in FIGS.

FIG. 2 is a diagram showing a schematic configuration of a simulation program of the solver unit 28 in the gear machining simulation system 10 according to the present embodiment and a flow of its processing. The solver unit 28 includes a startup module 32, an input module 34, a database input module 36, a calculation start module 38, a calculation module (1) 40, and a calculation result output module (1) 4.
2. A calculation module (2) 44 and a calculation result output module (2) 46 are provided. Calculation module (1) 40
The calculation module (2) 44 and the calculation module (2) 44 have basically the same configuration, and differ only in the numerical control machine tool (M / C) and the input factor of the tool in the calculation processing.

That is, the calculation module (1) 40 performs a simulation calculation based on the input of characteristic values in a normal state of the numerically controlled machine tool (M / C) used in the machining process to be simulated, and the calculation module (2) In 44, the numerical control machine tool (M /
A simulation calculation is performed based on the input of the variable factor of the characteristic value of C).

FIG. 3 is a processing flowchart showing an outline of the interference analysis simulation processing of the machining simulation system 10 according to the present embodiment.

When the machining simulation system 10 is started by the operator and the solver unit 28 is started, the start-up module 32 displays the start menu screen shown in FIG. 4 on the CRT 14 (step S).
T1). On this start menu screen, the operator selects a specification input from the keyboard 16 or a specification file from the file of the database 30 by clicking the button of the mouse 18. Keyboard 16
5 is selected (step ST2), the input screen of FIG. 5 is displayed on the CRT 14 by the input module 34 (step ST3).

When the input screen is displayed on the CRT 14, the operator first pulls down the machining process according to the screen, hob + shaving (HOB + SV machining), hob + tooth grinding (HOB + GG machining), gear shaper + Either shaving process (GS + SV process) is selected. Hob (HOB), gear shaper (G
S) is gear cutting, shaving (SV) is finishing before heat treatment, and grinding (GG) is finishing after heat treatment.

Next, the model name is selected with the mouse 18, and the model name of the numerically controlled machine tool (M / C) used for machining is input from the keyboard 16. Next, according to the input screen of FIG. 5, specifications of gears which are basic specifications of gears, specifications of a hob cutter (HOB cutter) which is a tool used as data such as tool shape, specifications of a shaving cutter (SV cutter). , Mating gear specifications as meshing data, M
Numerically controlled machine tool (M / C) used as / C data
Of the normal characteristic of M, the characteristic peculiar to the M / C, for example, a variable element such as a shake during machining shown in FIG. 5 is input.

When the operator selects the specification input from the files stored in the database 30 (step ST4), the database input module 36 displays the file processing screen shown in FIG. 6 on the CRT 14.
In this file processing screen, the operator designates a file name, a directory, a drive, etc., creates and saves a required file, or calls a file saved in advance (steps ST5 and ST6). When the file is called, the input screen of FIG. 5 is displayed on the CRT 14, the machining process, model name, etc. are input, and then the specifications of the gear and the specifications of the hob cutter (HOB cutter) which is a tool are specified from the specified file. Original, shaving cutter (S
Various data such as specifications of the V-cutter), specifications of the mating gear, and characteristics peculiar to the selected numerically controlled machine tool (M / C) are input.

In addition to the above, the start menu shown in FIG.
The function of end processing selection (step ST7) is also shown in FIG.
In the input screen of, the calculation start (step ST10) that specifies the start of calculation, the print start (step ST11) that specifies the start of printing, and the file saving (step ST1)
2), calculation of tooth thickness (step ST13), selection of calling start menu (step ST14), and the like. Further, in the file processing screen of FIG. 6, selection of calling start menu (step ST8) and cancellation selection (step ST8). The function of step ST9) is prepared.

As described above, when the data input required for the machining simulation is completed and the start of calculation (step ST10) is instructed on the input screen of FIG. 5, the solver unit 28 starts calculation. A selection screen as to whether or not it is displayed on the CRT 14 (step ST15).
When “Yes” is selected, the calculation module (1) 40 and the calculation module (2) 4 are executed by the calculation module (1) 40 and the calculation module (2) 44 of the solver unit 28.
Required calculation is started as described later using the calculation formula prepared in advance in step 4 (step ST16).

Here, the case where the 0 ° side tooth profile diagram of the axis right-angled tooth profile is calculated is illustrated, and when the calculation of the 0 ° side tooth profile diagram is completed, the selection screen 1 (not shown) displays C.
Displayed on RT14 (step ST17), the operator "whether to print", "whether to return to the input screen", "whether to calculate the 180 degree side tooth profile",
"Whether to end the calculation" is sequentially selected according to the comment displayed on the screen (steps ST18, ST19,
ST20, ST21). When the calculation is completed (step S
T21), and returns to the start menu shown in FIG.

The above is the outline of the gear machining simulation system 10 according to the present invention, and the outline of the operating procedure and the operating procedure.

Next, the simulation of the interference state between the gear and the machining tool and the interference state between the gear and the mating gear that meshes with the gear will be described in detail according to a concrete machining example.

As an example, a case of machining a hob + shaving machined gear and a meshing interference simulation will be described.
First, the operator selects the start-up screen shown in FIG.
Alternatively, by using the input screen of FIG. 6, as the basic specifications of the gear to be processed, "number of teeth", "module", "helix angle",
"Pressure angle", "Outer diameter", "Rough machining tooth thickness, dislocation coefficient",
Enter "Finishing tooth thickness, dislocation coefficient". Generally, these specifications are the values of the right angle of the tooth, and are converted to the values of the cross section perpendicular to the axis in the simulation as needed.

Further, the operator selects a numerically controlled machine tool (M / C) to be used for hobbing, inputs its characteristic information and characteristic information specific to the selected M / C, and mounts it on the M / C. Enter the "amount of addendum", "amount of dedendam", "semi-top angle", "cutting edge radius", etc.
Similarly, the M / C used for shaving is selected, the characteristic information and the characteristic information specific to the selected M / C are input, and as the specifications of the tool (shaving cutter) attached to the M / C, "Number of teeth", "twist angle",
Enter "outer diameter", "SV cutter tooth thickness, dislocation coefficient".

Further, the operator inputs "inter-axis distance", "number of teeth", "outer diameter", "theoretical outer diameter", "finished tooth thickness, dislocation coefficient" as the specifications of the mating gear. If the hobbing is a prochu hob, pull down "Normal" and use the prochu processing tool (prochu balance cutter).
As the specifications, enter "Prochuhobcob width", "Prochuhobcob height", "Prochuhobcob hollow angle", etc.

When the operator finishes the above input and gives an instruction to start the calculation from the input screen (FIG. 5), the calculation module (1) 40 and the calculation module (2) 44 of the solver unit 28.
Performs required calculations according to the flowchart shown in FIG. 7 and performs machining and interference simulations.

FIG. 7 is a processing flow chart in the case of normal hob + shaving processing. The calculation module (1) 40 and the calculation module (2) 44 firstly cut the normal hob (after processing) in step ST31.
Calculate the machining shape of. In the calculation of the tooth profile of the semi-topping section involute AB shown in the sectional view of the gear 50 and the hob cutter 52 in FIG. 8, the semi-topping basic circle R
Let Xgγ be the half-angle (∠IOG) perpendicular to the axis of 1

[0030]

[Equation 1]

The condition of is satisfied. Therefore, the half angle Xgγ of the right angle of the axis is

[0032]

[Equation 2]

Then, an arbitrary point p '(xp', yp ') of the semi-topping portion involute AB tooth profile is φp'.
As a parameter

[0034]

(Equation 3)

## EQU1 ##

Next, the gear 50 and the hob cutter 52 shown in FIG.
In the calculation of the tooth profile of the involute BC shown in the cross-sectional view of, the half-angle (∠FOG) perpendicular to the axis of the base circle R2 is calculated as Xg.
Then

[0037]

(Equation 4)

From the above, the half-angle Xg of the tooth thickness perpendicular to the axis is

[0039]

(Equation 5)

Then, an arbitrary point p (xp, yp) on the involute BC is set with φp as a parameter.

[0041]

(Equation 6)

It becomes

Further, in the calculation of the shape of the root radius portion, in order to calculate the shape of the root R formed by the tip of the hob cutter 52, the coordinate axes (x, y) of the gear 50 shown in FIG. Generating pitch line L3 in contact with the reference pitch circle R3
And a coordinate axis (x ', y') consisting of a perpendicular line standing on the tooth bottom, and setting the coordinate (x ', y') of the tooth root R to be obtained,

[0044]

(Equation 7)

Coordinates are converted by the equation (3), and the coordinates (x,
y) is required.

In the above calculation, mn is a gear module, xh is a dislocation coefficient after gear cutting, DDN is a deden dam amount of the hob cutter, and Z1 is the number of teeth of the gear 50.

Next, in step ST32, the calculation module (1) 40 and the calculation module (2) 44 calculate the processed shape after the shaving process. First, the input data (numerical value of the tooth right angle) regarding the gear 50 is converted into the numerical value of the cross section perpendicular to the axis, and then the meshing pitch circle diameter (DB diameter) and the theoretical outer diameter (DFSV diameter) of the gear shown in FIG. , Involute start diameter (DFOMSV diameter), root diameter (DRSV diameter)
Calculate the important control diameter such as.

Next, the movement locus of the shaving cutter in the involute parts e to f of the gear 50 shown in FIG. 12 is calculated. In this calculation, replace the shape of the shaving cutter with a rack,

[0049]

(Equation 8)

It is calculated by In the above equation, xc is a dislocation coefficient and αn is a tooth normal pressure (pressure angle), which represents the gear specifications shown in FIG.

In the calculation of the root radius portion, the coordinate setting similar to the case of the above-described calculation of the shape of the root radius portion is performed,

[0052]

[Equation 9]

The equation of motion is obtained by The relationships among the variables used in the above equation are shown in FIGS. 13A to 13D. In this case, DK _SV is the outer diameter of the shaving cutter (input value), Z _SV is the number of teeth of the shaving cutter (input value), αbs is the Kamiai pressure angle, and αksv is the pressure angle perpendicular to the tip circle diameter of the shaving cutter. , Αbssv is the pressure angle perpendicular to the axis on the Kamiai pitch circle of the shaving cutter, and αbssv = cos ⁻¹ (Dbsv / Dgsv), AX _sv is the axial distance between the gear 50 and the shaving cutter, θ is a variable, and Γ is the gear 50. And the shaving cutter on the Kamiai pitch circle.

Upon completion of the above calculation, the calculation module (1) 40 and the calculation module (2) 44 of the solver unit 28.
Calculates the root clearance CL1 during machining and the effective diameter clearance CL2 during machining in steps ST33 and ST34. Then, step S
At T35, the black skin residue CL0 at the time of processing is calculated. If the black skin residue during processing does not satisfy CL0> 0, an error message is output, and if CL0> 0 is satisfied, calculation of the partner gear is performed in steps ST36 and ST39 as follows.

That is, the number of teeth Z2 of the mating gear, the finishing dislocation coefficient x _C2 , the theoretical outer diameter D _F2 , the outer diameter D _K2 , which are input to the machining simulation system 10 as the specifications of the mating gear,
Using the theoretical distance A _x , the gear 50 and the mating gear 5
14, the coordinate axes shown in FIG. 14 and the angles of the respective parts are set, and the trochoid curve drawn by the mating gear 54 is calculated based on the following mathematical formulas.

First, in the calculation of the tooth trochoid curve of the theoretical outer diameter D _F2 , if θ is used as a parameter, FIG.
The coordinates x ₀₂ , y ₀₂ of the O ₂ point are x ₀₂ = A _x · sin (δ ₁ + θ) (1-1) y ₀₂ = A _x · cos (δ ₁ + θ) (1-2) Here Then, δ ₁ = αbsG + XgC-tan φDM αbsG = cos ⁻¹ [(D _g + D _g2 ) / 2 · A _x ] D _g2 = (Z 2 · mn / cos β) × cos αs φDM = cos ⁻¹ (D _g / D _MIN ).

[0057]

(Equation 10)

Is as follows. In the above equation, β represents the twist angle of the gear specifications, and can be expressed as αn = tan ⁻¹ (tan αs / cos β) using the angle αs and the pressure angle αn shown in FIG.

Further, the coordinates xQ and yQ of the tip point Q of the mating gear 54 are as follows: xQ = x ₀₂ −1 / 2D _F2 · cosω yQ = y ₀₂ −1 / 2D _{F 2} · sinω where ω = π / 2 − [Δ ₁ + δ ₂ + θ + (Z1 / Z2) · θ] δ ₂ = sin ⁻¹ [(D _MIN · sin (αbsG−φDM)) / D _F2 ] ... (2).

From the above, -0.5 ^rad <θ <0.5 ^rad
, XQ, yQ in 0.001 ^rad steps
Is plotted, a tooth tip trochoidal curve with a theoretical outer diameter D _F2 is obtained.

Next, the outer diameter D_K2(D_MINState) tooth tip toro
In the calculation of the coid curve, the above equation (1-1),
In formulas (1-2) and (2), theoretical outer diameter D_F2To D_K2age
And D _MINTo D_KMINBy calculating as
You can get a coid curve. Tight Messi
Tooth tip in the unloaded state (no backlash state)
In the calculation of id curve, the axis of the tight mesh state
Distance A_x’A_x’＝ (D_g+ D_g2) / 2 × cos αbsG ′ (3), and using this equation (3), the outer diameter D_K2(D_MINCondition
Calculation of the tooth tip trochoidal curve.

Upon completion of the above calculation, the calculation module (1) 40 and the calculation module (2) 44 of the solver unit 28.
In step ST37, step ST38, step ST40, and step ST41, the meshing tooth bottom clearance CL4, the meshing effective diameter clearance CL5, and the meshing tooth bottom clearance CL7 and the meshing effective diameter clearance CL8 in the tight mesh state are calculated.

Next, the calculation module (1) 40 and the calculation module (2) 44 of the solver unit 28 perform step S
At T43, the interference point is calculated. FIG.
FIG. 4 is a diagram showing a trochoidal curve T ₁ (working with a hob cutter or a gear shaper) and a finish-working tooth top trochoidal curve T ₂ (working with a shaving cutter or a tooth grinding cutter) of a rough-processed tooth tip of the gear 50. In the calculation of the interference point, as shown in FIG. 15, the position of the machining step caused by the rough machining and the finishing machining is calculated from the trochoidal curves T ₁ and T ₂ as the interference point.

Polar coordinates of trochoidal curve T ₁ x = a
(Θ), y = b (θ), polar coordinates x = c (φ) of the trochoidal curve T ₂ , and y = d (φ), the equation for finding the intersection of the two curves is F (θ, φ) = a (θ) -c (φ), f (θ, φ) = b
(Θ) -d (φ), and the interference point P is obtained by finding the solution of these two equations as a multi-dimensional simultaneous nonlinear equation using the Newton's method theorem.

Next, the calculation module (1) 40 and the calculation module (2) 44 of the solver unit 28 execute step S
At T44, from the interference point P, the interference distance with the tooth tip trochoid curve of the mating gear is calculated.
FIG. 16 is a diagram for explaining calculation of the interference distance,
The minimum distance between the interference point P and the curve T obtained in step ST43 from the gear 50 and the meshing gear tooth tip trochoid curve T is the interference distance L.

For the interference distance L, the polar coordinates of the tooth mating trochoidal curve T of the mating gear are x = a (θ) and y = b (θ), and the position of the interference point P is A (x _a , y _a ), a point on the curve _{T B (x b, y b} ) When the distance between AB is represented by ^{_{(x a -x b) 2 +}} (y a -y b) 2 of the square root, line AB is for equivalent to the perpendicular at the point B, the _{(y a -y b) / (} x a -x b) = 1 / f (x b). Rearranging this equation, F (θ) = (y a -b (θ)) · b '(θ) + (x a -a (θ)) · a' (θ) = 0 , and the convergence of the formula The solution is obtained by calculation to obtain the solution, and the interference distance L is calculated.

Upon completion of the above calculation, the calculation module (1) 40 and the calculation module (2) 44 of the solver unit 28.
Calculates the meshing step clearance (theory) CL6 and the meshing step clearance (tight mesh state) CL9 in steps ST45 and ST46.

In the above processing, the result of the calculation in each step can be output to the CRT 14 or the graphic output device 20 by instructing on the input screen, the selection screen, etc. The state of interference with the mating gear can be visually determined, and the shape of the processing tool, the specification of the gear, and the like can be easily determined.

In the above example, the case of the normal hob in the hobbing process has been described as an example, but a similar simulation can be performed in the case of the protuberance hob. In addition to the hob + shaving process (HOB + SV process) described as an example, the hob + tooth grinding process (HOB +).
GG processing), gear shaper + shaving processing (GS
A machining simulation system can be similarly configured for + SV machining) and other machining.

[0070]

As described above, according to the gear machining simulation system and simulation method of the present invention, the basic specifications of the gear to be machined and the gear meshing, which is a factor related to gear machining, are engaged. The basic specifications of the mating gear, the tool information installed in the numerically controlled machine tool used in the machining process of the gear, and the M / C characteristic information unique to the numerically controlled machine tool are used as parameters in the machining simulation system. By giving it, the gear shape can be simulated in a state close to actual machining. Further, the operator can visually determine the interference state between the gear and the tool and the interference state between the gear and the mating gear, and can easily set the optimum gear specifications and the tool shape in advance. The effect is obtained.

[Brief description of drawings]

FIG. 1 is a block diagram showing a configuration of a gear machining simulation system according to the present invention.

FIG. 2 is a diagram showing a schematic configuration of a solver simulation program in a machining simulation system.

FIG. 3 is a processing flowchart showing an outline of interference analysis simulation processing in the processing simulation system.

FIG. 4 is a diagram showing a start menu screen in a startup module of a solver unit.

FIG. 5 is a diagram showing an input screen in an input module of a solver unit.

FIG. 6 is a diagram showing a file processing screen.

FIG. 7 is a processing flowchart in the case of normal hob + shaving processing.

FIG. 8 is a cross-sectional view of a gear and a hob cutter in calculation of a machining shape after normal hobbing.

FIG. 9 is a cross-sectional view of a gear and a hob cutter in calculation of a machining shape after normal hobbing.

FIG. 10 is a diagram illustrating coordinate axes of gears in calculating a tooth bottom.

FIG. 11 is a diagram for explaining a meshing pitch circle diameter and the like of gears.

FIG. 12 is a cross-sectional view showing the shape of the involute portion of the gear.

13A and 13B are diagrams illustrating a relationship between a shaving cutter and a gear, FIG. 13A is a perspective view, and FIG. 13B is FIG. 13A.
13C is a view seen from the Y (y) direction, FIG. 13C is a view seen from the Z direction of FIG. 13A, and FIG. 13D is a view seen from the z direction of FIG. 13A.

FIG. 14 is a diagram showing coordinate axes and angles for calculating a tooth tip trochoidal curve between theoretical axes.

FIG. 15 is a trochoidal curve T of a rough tooth tip of a gear.
₁ is a diagram illustrating the trochoidal curve T ₂ of the finishing tooth tip.

FIG. 16 is a diagram showing an interference distance between a gear and a tooth tip trochoid curve of a mating gear.

[Explanation of symbols]

10 ... Processing simulation system 12 ... CPU 14 ... CRT 16 ... Keyboard 18 ... Mouse 20 ... Graphic output device 22 ... FDD 24 ... OS 26 ... RAM 28 ... Solver section 30 ... Database 32 ... Startup module 34 ... Input module 36 ... Database input Module 38 ... Calculation start module 40 ... Calculation module (1) 42 ... Calculation result output module (1) 44 ... Calculation module (2) 46 ... Calculation result output module (2)

Claims (2)

[Claims] 1. When a rough-worked gear workpiece is machined into a gear having a specific shape by a numerically controlled machine tool, the machining state is simulated and the tool shape is determined from the result. A machining simulation system for a gear, which is mounted on a numerically controlled machine tool used in a machining step of the gear work, and basic specifications of the gear, a mating gear that meshes with the gear. Input means for inputting tool information to the machining simulation system, and based on each input information inputted from the input means, simulate the machining state of the gear work, and check the interference between the gear work and the tool in the machining state. While performing, simulate the meshing state of the gear and the mating gear after processing, in the meshing state Gear cutting simulation system to the analyzing means for performing negotiations check, characterized in that it is composed of an output means for outputting an interference check result of the simulation. 2. When a rough-machined gear work is machined into a gear having a specific shape by a numerically controlled machine tool, the machining state is simulated and the tool shape is determined from the result. And a step of inputting basic specifications of the gear to a machining simulation system, and a step of inputting tool information of a tool mounted on the numerically controlled machine tool to the machining simulation system. , A step of inputting the basic specifications of a mating gear that meshes with the gear to the machining simulation system, and simulating a machining state of the gear work based on the input information that has been input, and a gear work in the machining state And check the tool interference, and based on the above input information A step of simulating a meshing state of the gear after machining and the mating gear and performing an interference check in the meshing state; and a step of determining a tool shape and a gear specification for the gear work from the interference check result. A machining simulation method for a gear, comprising: