WO2011024626A1 - 内歯車加工方法及び内歯車加工機 - Google Patents
内歯車加工方法及び内歯車加工機 Download PDFInfo
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- WO2011024626A1 WO2011024626A1 PCT/JP2010/063351 JP2010063351W WO2011024626A1 WO 2011024626 A1 WO2011024626 A1 WO 2011024626A1 JP 2010063351 W JP2010063351 W JP 2010063351W WO 2011024626 A1 WO2011024626 A1 WO 2011024626A1
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- Prior art keywords
- error
- internal gear
- tooth
- correction amount
- wheel
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
- B23F—MAKING GEARS OR TOOTHED RACKS
- B23F5/00—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made
- B23F5/02—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made by grinding
- B23F5/04—Making straight gear teeth involving moving a tool relatively to a workpiece with a rolling-off or an enveloping motion with respect to the gear teeth to be made by grinding the tool being a grinding worm
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- 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
- B23F23/12—Other devices, e.g. tool holders; Checking devices for controlling workpieces in machines for manufacturing gear teeth
- B23F23/1218—Checking devices for controlling workpieces in machines for manufacturing gear teeth
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B19/00—Programme-control systems
- G05B19/02—Programme-control systems electric
- G05B19/18—Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form
- G05B19/182—Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form characterised by the machine tool function, e.g. thread cutting, cam making, tool direction control
- G05B19/186—Generation of screw- or gearlike surfaces
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B2219/00—Program-control systems
- G05B2219/30—Nc systems
- G05B2219/45—Nc applications
- G05B2219/45214—Gear cutting
Definitions
- the present invention relates to an internal gear machining method and an internal gear machining machine for grinding a tooth surface of an internal gear (tooth profile grinding) with a barrel-shaped threaded grindstone.
- a gear is formed by gear cutting on a predetermined gear material, and after the processed gear is heat-treated, finish processing (tooth profile grinding) is performed to remove distortion caused by the heat treatment. Processing).
- finish processing teeth profile grinding
- various tooth profile grinding methods using tools such as a WA-based grindstone and superabrasive (diamond, CBN, etc.) grindstone have been provided.
- the shapes of the tools used for these include an external gear shape, an internal gear shape, a screw (worm) shape, etc., depending on the shape of the gear to be ground.
- the internal gear and the barrel-shaped threaded grindstone are meshed with each other in a state of giving an axis crossing angle, and are rotated synchronously, thereby the barrel-shaped thread-shaped grindstone.
- a method of machining an internal gear for grinding the tooth surface of the internal gear is generated between the internal gear and the barrel-shaped threaded grinding wheel by the meshing rotation and the axis crossing angle of the internal gear and the barrel-shaped threaded grinding wheel.
- the tooth surface of the internal gear can be ground with the barrel-shaped threaded grindstone.
- Patent Document 1 proposes a method of correcting the tooth profile error and performing tooth profile grinding of the external gear with high accuracy.
- the diameter of the threaded grindstone gradually increases from both axial ends toward the middle. It is preferable that the barrel shape is formed, and the inventors of the present application conducted simulation (numerical calculation) and experiment of the tooth profile grinding process of the internal gear with this barrel shape screw-shaped grinding wheel.
- the present invention corrects the relative position between the barrel-shaped threaded grinding wheel and the workpiece (internal gear) when performing the tooth profile grinding of the internal gear using the barrel-shaped threaded grinding wheel. It is an object of the present invention to provide an internal gear machining method and an internal gear machining machine capable of reducing a shape error and realizing highly accurate tooth profile grinding.
- the inventors of the present application conducted a simulation or experiment of tooth profile grinding of an internal gear using a barrel-shaped threaded grindstone, and the relative position between the barrel-shaped threaded grindstone and the internal gear changed.
- tooth profile error pressure angle error, tooth trace error, tooth thickness error
- the inventors of the present application clarified the relationship between each tooth profile error (pressure angle error, tooth streak error, tooth thickness error) and the axis correction item through the simulation (see FIG. 7).
- the internal gear machining method and the internal gear machining machine of the present invention are based on such new knowledge and have the following characteristics.
- the internal gear machining method of the first invention that solves the above-mentioned problem is that the internal gear and the barrel-shaped threaded grindstone mesh with each other in a state of giving an axis crossing angle to each other, and rotate synchronously, thereby
- the measured pressure angle error in the tooth surface of the internal gear is reduced by correcting the radial position, the wheel lateral direction position, the wheel turning angle, and the helical motion
- the measured tooth trace error in the tooth surface of the internal gear is reduced by correcting the helical motion
- the tooth thickness error in the measured tooth surface of the internal gear is reduced by correcting the radial position, the lateral direction position of the grinding wheel, and the helical motion. It is characterized by.
- the internal gear machining method of the second invention is the internal gear machining method of the first invention, First, set a correction amount of helical motion that reduces the tooth trace error, Next, set the correction amount of the lateral position of the grinding wheel so that the asymmetric pressure angle error is reduced, Next, set the correction amount of the radial position and the correction amount of the grindstone turning angle so that the pressure angle error and the tooth thickness error are reduced, Based on each of these correction amounts, correcting the radial position, the lateral position of the grinding wheel, the turning angle of the grinding wheel, and the helical motion, It is characterized by.
- the internal gear machining method of the third invention is the internal gear machining method of the first or second invention
- the pressure angle error is affected by the radial position error, the wheel lateral position error, the wheel turning angle error, and the helical motion error
- the tooth line error is affected by the helical motion error
- the tooth thickness error is radial.
- the direction position error, the grinding wheel turning angle error, and the influence of the helical motion error are analyzed in advance, and the pressure angle error, the tooth trace error, and the tooth thickness error are reduced based on the analysis result.
- the radial position, the lateral position of the wheel, the helical movement, and the rotational angle of the grinding wheel are set, and the radial position, the lateral position of the grinding wheel, the helical movement, and the rotational angle of the grinding wheel are set based on these correction amounts. It is characterized by correcting.
- the internal gear machining method of the fourth invention is the internal gear machining method of any of the first to third inventions,
- the correction amount of the helical motion is set to zero.
- the internal gear machining machine of the fifth invention is configured such that the internal gear and the barrel-shaped threaded grindstone mesh with each other in a state of giving an axis crossing angle to each other and rotate synchronously, thereby the barrel-shaped threaded grindstone causes the internal gear to rotate.
- the internal gear machine that grinds the tooth surfaces of The measured pressure angle error at the tooth surface of the internal gear is reduced by correcting the radial position, the lateral position of the grinding wheel, the turning angle of the grinding wheel, and the helical motion, and is measured at the tooth surface of the measured internal gear.
- the tooth trace error is reduced by correcting the helical movement, and the measured tooth thickness error on the tooth surface of the internal gear is reduced by correcting the radial position, the lateral position of the grinding wheel, and the helical movement.
- tooth profile shape error correction means It is characterized by.
- the internal gear machining machine of the sixth invention is the internal gear machining machine of the fifth invention
- the tooth profile shape error correction means first sets a correction amount of the helical motion so that the tooth trace error is reduced, and then sets a correction amount of the lateral position of the grindstone so that the asymmetric pressure angle error is reduced. Next, set a radial position correction amount and a wheel turning angle correction amount so that the pressure angle error and the tooth thickness error are reduced, and based on each of these correction amounts, a radial value is set. Correcting the directional position, the lateral position of the wheel, the turning angle of the wheel, and the helical movement, It is characterized by.
- the tooth profile shape error correction means includes the influence that the pressure angle error is affected by the radial position error, the wheel lateral position error, the wheel turning angle error, and the helical motion error, and the effect that the tooth trace error is affected by the helical motion error. And the influence of the tooth thickness error on the radial position error, the wheel turning angle error, and the helical motion error, the pressure angle error, the tooth streak error, and the tooth thickness error are based on an analysis result obtained in advance.
- Each correction amount of radial position, wheel lateral position, helical motion and wheel turning angle is set to decrease, and based on each of these correction amounts, radial position, wheel lateral position, helical motion and wheel Correcting the turning angle, It is characterized by.
- An internal gear machining machine is the internal gear machining machine according to any one of the fifth to seventh aspects of the invention,
- the tooth profile shape error correction means sets the correction amount of the helical motion to zero.
- the pressure angle error in the tooth surface of the internal gear corrects the radial position, the lateral position of the grinding wheel, the grinding wheel turning angle, and the helical motion.
- the tooth line error in the tooth surface of the internal gear is reduced by correcting the helical motion, and the tooth thickness error in the tooth surface of the internal gear is reduced in the radial direction position and the grinding wheel lateral position.
- each tooth profile Correcting (decreasing) each tooth profile error by correcting the axis correction items (radial position error, wheel lateral position error, wheel rotation angle error, helical motion error) suitable for the shape error. ) It can be.
- the correction amount of the helical motion that reduces the tooth trace error is set, and then the asymmetric pressure angle error is reduced.
- Set the correction amount for the lateral position of the grinding wheel and then set the correction amount for the radial position and the correction amount of the wheel turning angle so that the symmetric pressure angle error and the tooth thickness error are reduced.
- each tooth profile error asymmetric pressure angle error, symmetric pressure angle error, tooth trace
- Each correction amount radial position error correction amount, grinding wheel lateral position error correction amount, grinding wheel turning angle error correction amount, helical motion error correction amount) corresponding to each error and tooth thickness error) is set appropriately in order. Then, it can be corrected.
- the pressure angle error is affected by the radial direction position error, the grinding wheel lateral direction error, the grinding wheel turning angle error, and the helical motion error, and Analyze in advance the effect of tooth-pitch error due to the helical motion error and the effect of the tooth-thickness error due to radial direction position error, grinding wheel turning angle error, and helical motion error.
- the radial position, the lateral position of the grinding wheel, the helical movement, and the rotational angle of the grinding wheel are set to reduce the pressure angle error, the tooth trace error, and the tooth thickness error, respectively, and based on these correction quantities.
- the tooth profile shape error of the internal gear can be corrected with high accuracy at an early stage, and workability is improved.
- the correction amount of the helical motion is set to 0, so that the internal gear is suitable for a spur gear. It becomes.
- FIG. 1 It is a perspective view which shows the structure of the internal gear grinding machine which concerns on the embodiment of this invention. It is a perspective view which shows a mode that an internal gear is ground with a barrel-shaped screw-shaped grindstone in the said internal gear grinding machine. It is a longitudinal cross-sectional view of the barrel-shaped threaded grindstone. It is a perspective view of the barrel-shaped threaded grindstone. It is a block diagram of the NC control device which controls the internal gear grinding machine. It is a figure which shows the mode of a tooth profile shape measurement. It is a table
- (A) is a diagram illustrating an asymmetric pressure angle error
- (b) is a diagram illustrating a symmetric pressure angle error.
- (A) is an involute tooth profile for explaining tooth profile error propagation analysis
- (b) and (c) are tooth profile charts for explaining tooth profile error propagation analysis.
- (A) is a tooth profile chart showing a tooth profile shape before correction
- (b) is a tooth profile chart showing a tooth profile shape after correction.
- the Xw axis, the Yw axis, and the Zw axis are reference axes of an orthogonal coordinate system (reference coordinate system) (fixed to the workpiece W) with respect to the workpiece W.
- the Xm axis, the Ym axis, and the Zm axis are 2 is a movement axis of an internal gear grinding machine (internal gear processing machine) 1.
- the Xw axis and the Xm axis are horizontal movement axes in the same direction, and the Zw axis and the Zm axis are vertical axes in the same direction.
- the Yw axis is a horizontal movement axis, but the details will be described later, but the Ym axis is not only in a horizontal state in the same direction as the Yw axis, but also in a state of turning and tilting. It can be a moving axis.
- the present invention is not limited to this, and the present invention can be applied even when the Ym axis is not inclined and is always a horizontal movement axis in the same direction as the Yw axis.
- a column 12 is supported on the bed 11 of the internal gear grinding machine 1 so as to be movable in the Xm axis (Xw axis) direction.
- the Xm axis (Xw axis) direction is a direction in which the grindstone rotation axis B1 moves so that the distance between the grindstone rotation axis B1 and the workpiece rotation axis C1 is adjusted.
- a saddle 13 is supported on the column 12 so as to be able to move up and down in the Zm axis (Zw axis) direction.
- a swing head 14 is parallel to the Xm axis (Xw axis) and is parallel to the Xm axis (Xw axis). It is supported so that it can turn.
- a grindstone head 16 is supported on the turning head 14 so as to be movable in the Ym-axis direction orthogonal to the grindstone rotation axis B1.
- the direction of the Ym axis coincides with the Yw-axis direction of the reference axis.
- a grindstone spindle (not shown) and a grindstone arbor 16a attached to the grindstone spindle are supported on the grindstone head 16 so as to be rotatable about the grindstone rotation axis B1, and a threaded grindstone 17 is provided at the tip of the grindstone arbor 16a. It is detachably attached.
- the threaded grindstone 17 turns around the grindstone turning axis A as indicated by an arrow c together with the turning head 14 and the grindstone head 16 (grindstone arbor 16 a).
- the Ym axis direction also turns around the grindstone turning axis A together with the turning head 14.
- the threaded grindstone 17 moves in the Ym-axis direction as indicated by an arrow d along with the grindstone head 16 (grindstone arbor 16 a).
- the threaded grindstone 17 together with the grindstone spindle and the grindstone arbor 16a rotates around the grindstone rotation axis B1 as indicated by an arrow e.
- a rotary table 18 is provided on the bed 11 in front of the column 12 so as to be rotatable around a vertical workpiece rotation axis C1.
- a cylindrical mounting jig 19 is provided on the upper surface of the rotary table 18, and a work W that is an internal gear is detachably mounted on the inner peripheral surface of the upper end of the mounting jig 19. Therefore, when the rotary table 18 is rotated, the workpiece W together with the rotary table 18 rotates around the workpiece rotation axis C1 as indicated by an arrow i.
- a dressing device 21 is provided on the bed 11 on the side of the rotary table 18.
- a disk-shaped disk dresser 22 for dressing the threaded grindstone 17 is detachably mounted on the dressing device 21.
- the dressing device 21 includes a base portion 23 provided on the bed 11 and a turning portion 24 provided on the upper portion of the base portion 23.
- the swivel portion 24 is supported by the base portion 23 so as to be indexable swivel (as indicated by an arrow f) around the vertical dresser advance / retreat axis C2 at the base end portion.
- a dresser rotation drive motor 25 is provided at the distal end of the swivel unit 24 so as to be able to swivel (as indicated by an arrow g) around a horizontal dresser swivel axis B2 passing between the blade edges (blade surfaces) of the disk dresser 22.
- the output shaft of the dresser rotation driving motor 25 to which the disk dresser 22 is mounted is rotatable around a dresser rotation axis C3 orthogonal to the dresser rotation axis B2 (as indicated by an arrow h).
- the workpiece W is attached to the mounting jig 19.
- the threaded grindstone 17 is swung around the grindstone turning axis A, and the axis crossing angle corresponding to the torsion angle of the workpiece W is reached.
- FIG. 2 shows a state when the threaded grindstone 17 and the workpiece W are engaged with each other.
- the threaded grindstone 17 is formed in a barrel shape such that its diameter gradually decreases from its axially intermediate portion toward both axial end portions.
- the threaded grindstone 17 interferes with the workpiece W even when the threaded grindstone 17 is inclined at the axis crossing angle ⁇ with respect to the workpiece W as shown in FIG. Without this, the blade of the threaded grindstone 17 can be engaged with the teeth of the workpiece W.
- the threaded grindstone 17 is provided with predetermined grindstone specifications so as to properly mesh with the workpiece W having the predetermined workpiece specifications.
- the axis crossing angle ⁇ is an angle formed between the workpiece rotation axis C1 and the grindstone rotation axis B1, and is obtained from the torsion angle of the workpiece W and the torsion angle of the threaded grindstone 17.
- the grindstone rotating shaft B1 threaded grindstone 17
- the workpiece rotating shaft C1 work W
- the screw-shaped grindstone 17 is swung (lifted) in the Zm-axis (Zw-axis) direction while moving to a predetermined position in the direction of cutting the workpiece W (Xm-axis direction).
- the threaded grinding wheel 17 cuts into the workpiece W, and the tooth surface of the workpiece W is ground by the blade surface of the threaded grinding wheel 17.
- the meshing position of the threaded grinding wheel 17 with the workpiece W at the time of this grinding is a contact (meshing) line 17a as shown in FIG. That is, in the grinding process of the workpiece W by the threaded grinding wheel 17, the plurality of blade surfaces of the threaded grinding wheel 17 grind the plurality of tooth surfaces of the workpiece W simultaneously. Further, during this grinding process, the threaded grindstone 17 rotates around the grindstone rotation axis B1 that intersects the workpiece rotation axis C1 at an axis crossing angle ⁇ , and as shown in FIG. A sliding speed (grinding speed) V is generated between the workpiece W and the workpiece W.
- the sliding speed V is a relative speed between the rotational angular speed ⁇ 2 of the threaded grinding wheel 17 and the rotational angular speed ⁇ 1 of the work W at the position where the blade surface of the threaded grinding wheel 17 and the tooth surface of the work W are engaged. By generating such a sliding speed V, the tooth surface of the workpiece W is reliably ground by the blade surface of the threaded grindstone 17.
- the operation unit (personal computer) 32 has an input screw shape.
- a machining target value is calculated according to the information of the grindstone 17 and the workpiece W, and an NC (numerical control) device 31 performs drive control of each part (each axis) of the internal gear grinding machine 1 based on the machining target value.
- tooth profile error pressure angle error, tooth streak error, tooth thickness error
- the necessary information to reduce the tooth profile error is the tooth profile error correction.
- the tooth profile measuring means measures the left and right pressure angles, tooth streaks, and tooth thickness on the ground surface of the ground workpiece W. From these measured values, the pressure angle error is measured. ⁇ fa L and ⁇ fa R , a tooth trace error ⁇ L, and a tooth thickness error ⁇ th are calculated.
- the NC device 31 instructed to reduce the pressure angle errors ⁇ fa L and ⁇ fa R , the tooth trace error ⁇ L, and the tooth thickness error ⁇ th reduces the positional error of the threaded grinding wheel 17 in the radial direction of the wheel ( Xw axis direction) position error ⁇ X, wheel lateral direction (Yw axis direction) position error ⁇ Y, wheel turning angle (A axis) error ⁇ , and further, a helical motion error ⁇ P is calculated, and these errors ⁇ X, ⁇ Y , ⁇ , ⁇ P, the movement (position) of the threaded grinding wheel 17 in the Xm-axis direction, the Ym-axis direction, and the Zm-axis direction in the internal gear grinding machine 1, and the turning angle around the turning axis A (axis crossing angle ⁇ ) Then, the correction amount of the rotational speed around the workpiece rotation axis C1 is determined and corrected, and the tooth profile grinding of the next workpiece W is performed.
- the radial direction position error ⁇ X is a position error in the Xm-axis (Xw-axis) direction (cutting direction with respect to the workpiece W) of the threaded grinding wheel 17.
- the grindstone lateral position error ⁇ Y is a position error of the threaded grindstone 17 in the Yw-axis direction.
- the grindstone turning axis B1 is inclined with respect to the workpiece rotation axis C1 at an axis crossing angle ⁇
- the Ym axis is also inclined with respect to the reference Yw axis.
- the correction amount of the grinding wheel lateral position error ⁇ Y is set in the Ym axis direction according to the inclination angle of the Ym axis with respect to the Yw axis (corresponding to the axis crossing angle ⁇ ). It is necessary to convert to a position correction amount and correct the position in the Ym-axis direction based on this correction amount.
- the position in the Zm-axis (Zw-axis) direction also changes, so that the thread-shaped grindstone 17 has a thread-like shape such as a machining start position in the Zm-axis (Zw-axis) direction.
- Deviation of the contact position between the grindstone 17 and the workpiece W occurs. For this reason, when performing position correction in the Ym-axis direction, it is desirable to perform position correction in the Zm-axis (Zw-axis) direction so that the displacement of the contact position does not occur. Therefore, in the internal gear grinding machine 1 of the present embodiment, the position correction in the Zm axis (Zw axis) direction is also performed.
- the position error (correction amount) in the Xm-axis direction is the same as the position error (correction amount) in the Xw-axis direction
- the correction amount in the Zm-axis direction position is the same as the correction amount in the Zw-axis direction position.
- the grindstone turning angle error ⁇ is a turning angle error around the turning axis A of the threaded grindstone 17, that is, an error of the axis crossing angle ⁇ .
- the helical motion error ⁇ P is a synchronization error between the rocking (up / down) motion of the threaded grinding wheel 17 in the Zm-axis (Zw-axis) direction and the rotational motion of the workpiece W around the workpiece rotational axis C1.
- the rotational motion of the workpiece W about the workpiece rotational axis C1 with respect to the rotational motion about the grinding wheel rotational axis B1 and the swinging (lifting) motion in the Zm-axis direction is corrected.
- the measurement of the tooth profile of the workpiece W is performed, for example, every time when a predetermined number of internal gears are processed or when the processing is performed immediately after the threaded grindstone 17 is replaced with a new one.
- a gear accuracy measuring device provided in the internal gear grinding machine 1 may be used, and a general gear measuring machine (that is, an external measuring machine) installed outside the internal gear grinding machine 1 is used. But you can.
- an external measuring machine the tooth profile of the workpiece W is measured by removing the workpiece W after the tooth profile grinding from the internal gear grinding machine 1 and installing it on the external measuring machine.
- FIG. 6 illustrates a state in which the tooth profile of the workpiece W after the tooth profile grinding is measured by the measuring element 41 of the gear accuracy measuring device 40 (see FIG. 5) provided in the internal gear grinding machine 1.
- the measuring element 41 moves the measuring element 41 and the workpiece W along the machining target value, so that the contact portion between the tip of the measuring element 41 and the surface (tooth surface) of the workpiece W It is possible to measure the left and right pressure angles on the tooth surface of the workpiece W, the tooth trace, and the tooth thickness. Then, pressure angle errors ⁇ fa L and ⁇ fa R , a tooth trace error ⁇ L, and a tooth thickness error ⁇ th are calculated from these measured values.
- the pressure angle errors ⁇ fa L and ⁇ fa R are represented by a point sequence of a maximum of 100 points on the Xw axis-Yw axis coordinates
- the tooth trace error ⁇ L is a point sequence of a maximum of 100 points on the Zw axis-Yw axis coordinates.
- a method of calculating ⁇ Pm and the correction amount ⁇ Zm in the Zm-axis direction position will be described.
- the pressure angle errors ⁇ fa L and ⁇ fa R calculated from the left and right pressure angles and tooth traces on the tooth surface of the workpiece W measured by the probe 41 and the tooth trace error ⁇ L are calculated.
- the tooth thickness th measured by the probe 41 is output to the correction amount calculation unit 33 of the NC device 31.
- the right and left pressure angle errors ⁇ fa L and ⁇ fa R of the workpiece W measured by the external measuring machine, the tooth streak error ⁇ L, and the tooth thickness error ⁇ th are directly or directly operated to the NC device 31. Input is performed via the unit 32.
- the correction amount calculation unit 33 includes a tooth thickness error calculation unit 34, a workpiece rotation axis motion (helical motion) correction unit 35, and a grindstone position correction unit 36.
- the tooth thickness error calculation unit 34 calculates a tooth thickness error ⁇ th from the target tooth thickness and the measured tooth thickness th.
- the workpiece rotation axis motion correction unit 35 sets a correction amount ⁇ Pm of a helical motion error (work rotation axis motion error) ⁇ P based on the pressure angle errors ⁇ fa L and ⁇ fa R , the tooth trace error ⁇ L, and the tooth thickness error ⁇ th. .
- the grindstone position correction unit 36 based on the pressure angle errors ⁇ fa L and ⁇ fa R and the tooth thickness error ⁇ th, the correction amount ⁇ Xm of the radial position error ⁇ X, the correction amount ⁇ Ym of the grindstone lateral position error ⁇ Y, and the grindstone turning angle A correction amount ⁇ m for the error ⁇ is set.
- the grindstone position correction unit 36 also sets a correction amount ⁇ Zm for the Zm-axis direction position.
- the radial direction position error ⁇ X, the grindstone lateral direction error ⁇ Y, the grindstone turning angle error ⁇ , and the helical motion error ⁇ P are converted into the pressure angle error ⁇ fa.
- the influence on L 1 , ⁇ fa R , tooth trace error ⁇ L, and tooth thickness error ⁇ th is analyzed in advance. This analysis is to calculate a differential coefficient (influence coefficient) and is performed in consideration of the workpiece specifications of the workpiece W (internal gear). Further, the tooth profile error (pressure angle errors ⁇ fa L , ⁇ fa R , tooth trace error ⁇ L, tooth thickness error ⁇ th) of the workpiece W is also measured by the tooth profile measuring means (gear accuracy measuring device 40).
- the pressure angle errors ⁇ fa L and ⁇ fa R , the tooth trace error ⁇ L, and the tooth thickness error ⁇ th are reduced.
- the correction amount related to the workpiece reference coordinate axis that is, the correction amount ⁇ Xw of the radial direction position error ⁇ X, the correction amount ⁇ Yw of the grindstone lateral position error ⁇ Y, and the correction amount ⁇ w of the grindstone turning angle error ⁇ (to minimize)
- a correction amount ⁇ Pw of the helical motion error ⁇ P is calculated.
- ⁇ Xw is a correction amount for the Xw-axis direction position
- ⁇ Yw is a correction amount for the Yw-axis direction position.
- the correction amount ⁇ Ym is set by converting the correction amount ⁇ Yw into the correction amount ⁇ Ym based on the inclination angle of the Ym axis with respect to the Yw axis so that the Yw-axis direction component of the correction amount ⁇ Ym is the same as the correction amount ⁇ Yw.
- the correction amount ⁇ Zm of the Zm-axis direction position is also set so that the contact position between the threaded grinding wheel 17 and the workpiece W such as the machining start position does not shift.
- the workpiece W (internal gear) is a helical gear.
- the correction amount ⁇ Pw ( ⁇ Pm) of the helical motion error ⁇ P is set to 0 (none). do it.
- the correction amount ⁇ Xw of the radial position error ⁇ X, the correction amount ⁇ Yw of the wheel lateral position error ⁇ Y, and the correction of the wheel turning angle error ⁇ are corrected.
- a method of calculating the amount ⁇ w and the correction amount ⁇ Pw of the helical motion error ⁇ P is as follows.
- the inventors of the present application first, when the tooth profile grinding of the workpiece W (internal gear) is performed using the barrel-shaped threaded grindstone 17, radial position error ⁇ X, grindstone lateral position error ⁇ Y, grindstone turning Simulation of the tooth profile grinding process by the barrel-shaped threaded grinding wheel 17 with respect to the effects of the angle error ⁇ and the helical motion error ⁇ P on the pressure angle errors ⁇ fa L and ⁇ fa R , the tooth trace error ⁇ L, and the tooth thickness error ⁇ th (numerical value) It was investigated by performing a calculation.
- the pressure angle errors ⁇ fa L and ⁇ fa R are the radial direction position error ⁇ X, the grindstone lateral direction error ⁇ Y, and the grindstone turning angle error ⁇ .
- the tooth trace error ⁇ L is affected only by one item of the helical motion error ⁇ P
- the tooth thickness error ⁇ th is a radial direction position error ⁇ X
- a grinding wheel turning angle error ⁇ It was found that the three items of the helical motion error ⁇ P are affected.
- pressure angle error .delta.fa L the effect of the grinding wheel lateral position error ⁇ Y given to .delta.fa R, asymmetrical pressure angle error .delta.fa L, appears as .delta.fa R, gives a pressure angle error .delta.fa L, the .delta.fa R
- radial position error ⁇ X and wheel turning angle error ⁇ appear as symmetric pressure angle errors ⁇ fa L and ⁇ fa R.
- the asymmetric pressure angle errors ⁇ fa L and ⁇ fa R are designed in such a way that the pressure angles of the left and right tooth surfaces Wa and Wb of the teeth of the workpiece W are indicated by solid lines as shown in FIG. ),
- the pressure angle errors ⁇ fa L and ⁇ fa R are asymmetrical with respect to the center line j of the tooth gap. Means the case.
- the symmetrical pressure angle errors ⁇ fa L and ⁇ fa R mean that the pressure angles of the left and right tooth surfaces Wa and Wb in the teeth of the workpiece W are designed (target) as shown by solid lines as shown in FIG.
- each error of the internal gear grinding machine 1 (radial position error ⁇ X, grinding wheel lateral position error ⁇ Y, grinding wheel turning angle error ⁇ , helical motion error ⁇ P) It was analyzed how the tooth profile error (pressure angle error ⁇ fa L , ⁇ fa R , tooth trace error ⁇ L, tooth thickness error ⁇ th) of (internal gear) is propagated.
- the tooth profile error propagation equations (1) to (4) for each error amount were obtained as follows.
- the workpiece W (internal gear) is a spur gear
- the helical motion error ⁇ P is 0 (none).
- each error (radial direction position error ⁇ X, grinding wheel lateral error) for correcting (decreasing) the tooth profile error (pressure angle error ⁇ fa L , ⁇ fa R , tooth thickness error ⁇ th, tooth trace error ⁇ L).
- the correction amounts ⁇ Xw, ⁇ Yw, ⁇ w, ⁇ Pw of the direction position error ⁇ Y, the grindstone turning angle error ⁇ , and the helical motion error ⁇ P) are performed in the following order (1) to (3).
- a correction amount ⁇ Pw for the helical motion error ⁇ P is obtained as a correction amount for correcting (decreasing) the tooth trace error ⁇ L.
- the correction amount ⁇ Pw of the helical motion error ⁇ P obtained here is a correction amount for correcting (decreasing) the pressure angle errors ⁇ fa L and ⁇ fa R and a correction amount for correcting (decreasing) the tooth thickness error ⁇ th.
- a correction amount for correcting (decreasing) the asymmetric pressure angle errors ⁇ fa L and ⁇ fa R a correction amount ⁇ Yw for the grinding wheel lateral position error ⁇ Y is obtained.
- each correction amount ⁇ Xw, ⁇ Yw, ⁇ w, ⁇ Pw will be described in detail. From the analysis results as described above, only the correction amount ⁇ Pw of the helical motion error ⁇ P is used to correct (decrease) the tooth trace error ⁇ L. First, the correction amount ⁇ Pw of the helical motion error ⁇ P is measured. It is calculated using a bisection method from the tooth trace error ⁇ L.
- the correction amount ⁇ Xw of the radial direction position error ⁇ X that corrects (decreases) the pressure angle errors ⁇ fa L and ⁇ fa R and the tooth thickness error ⁇ th;
- the correction amount ⁇ Yw of the grinding wheel lateral position error ⁇ Y and the correction amount ⁇ w of the grinding wheel turning angle error ⁇ are calculated using an optimization algorithm that solves an inverse problem such as the downhill simplex method.
- the inverse problem is a problem of estimating the cause from the result.
- the error (correction amount) of each axis that causes it is estimated from the resulting tooth profile shape error.
- the optimization algorithm for solving the inverse problem
- the square value of the pressure angle error ⁇ fa L of the left tooth surface The sum of the square value of the pressure angle error ⁇ fa R of the right tooth surface and the square value of the tooth thickness error ⁇ th is used as an evaluation function, and the correction amount ⁇ Xw of the radial position error ⁇ X that minimizes the evaluation function and the wheel turning A correction amount ⁇ w for the angular error ⁇ is obtained.
- the correction amount ⁇ Xw of the radial position error ⁇ X and the correction amount ⁇ w of the grindstone turning angle error ⁇ that can simultaneously correct (decrease) the asymmetric pressure angle errors ⁇ fa L and ⁇ fa R and the tooth thickness error ⁇ th are obtained.
- the tooth trace error ⁇ L is expressed on the Zw-Yw coordinate. Therefore, as shown in FIG. 6, the tooth profile curve at each end in the tooth width direction (the dashed line in FIG. 6).
- the tooth trace chart is obtained by determining how much each tooth profile curve has an error in the vicinity of the pitch circle, and the tooth trace error ⁇ L is obtained.
- how the tooth trace changes when the helical motion error ⁇ P occurs is obtained using the above-described equation (2).
- ⁇ L T ′ and ⁇ L B ′ at the upper and lower ends in the tooth width direction are obtained from ⁇ X and ⁇ Y, and the sum of these ⁇ L T ′ and ⁇ L B ′ is the tooth trace error near the pitch circle.
- ⁇ L ′ which is a tooth profile chart as shown in FIG.
- the correction amount ⁇ Pw of the helical motion error ⁇ P is obtained from the tooth line error ⁇ L ′ thus obtained by using a bisection method. That is, if the difference between the tooth streak error ⁇ L ′ and the measured tooth streak error ⁇ L becomes zero, the actual helical motion error ⁇ P has been accurately estimated, and in practice it will be minimized.
- the correction amount ⁇ Pw of the lyral motion error ⁇ P is obtained.
- the correction amount ⁇ Pw of the helical motion error ⁇ P is set in this manner, the correction amount of the lateral position error ⁇ Y of the grindstone is then determined from the pressure angle errors ⁇ fa L and ⁇ fa R of the left and right tooth surfaces and the tooth thickness error ⁇ th.
- a correction amount ⁇ Xw of ⁇ Yw and radial direction position error ⁇ X and a correction amount ⁇ w of the grinding wheel turning angle error ⁇ are obtained.
- pressure angle errors ⁇ fa L and ⁇ fa R and a tooth thickness error ⁇ th due to the correction amount ⁇ Pw of the helical motion error ⁇ P are obtained. It is necessary to consider the impact on That is, ⁇ X 0 and ⁇ Y 0 are obtained from the helical motion error ⁇ P using the above-described equation (2).
- the tooth profile chart corresponds to the machining target value
- how the tooth profile chart changes when the lateral position error ⁇ Y of the grindstone is generated is obtained using the above-described equation (4). That is, by inputting an appropriate numerical value to ⁇ Y in the equation (4), the involute tooth profile point sequence (X 0 ′, Y 0 ′) shown in FIG.
- the correction amount ⁇ Yw of the grinding wheel lateral position error ⁇ Y is obtained using an optimization algorithm (downhill simplex method or the like) that solves the inverse problem.
- an involute tooth profile (X 0 ′, Y 0 ′) is obtained by inputting an appropriate numerical value to the radial position error ⁇ X using the above-described equation (1).
- a tooth profile chart is obtained from the data (X 0 ′, Y 0 ′), and pressure angle errors ⁇ fa L ′ and ⁇ fa R ′ are obtained.
- an involute tooth profile (X 0 ′, Y 0 ′) is obtained by inputting an appropriate numerical value to the grindstone turning angle error ⁇ using the above-described equation (3).
- a tooth profile chart is obtained from the data (X 0 ′, Y 0 ′), and a tooth thickness error ⁇ th ′ is obtained.
- correction amounts ⁇ Xw, ⁇ Yw, ⁇ w, ⁇ Pw obtained in this way correction amounts ⁇ Xm, ⁇ Ym, ⁇ m, ⁇ Pm for each axis of the internal gear grinding machine 1 are set.
- the correction amounts ⁇ Xm, ⁇ m, and ⁇ Pm are set to the same values as the correction amounts ⁇ Xw, ⁇ Yw, ⁇ w, and ⁇ Pw, while the correction amount ⁇ Ym is calculated based on the inclination angle of the Ym axis with respect to the Yw axis.
- correction amount ⁇ Ym is calculated based on the inclination angle of the Ym axis with respect to the Yw axis.
- the correction amount ⁇ Zm of the Zm-axis direction position is also set so that the contact position between the threaded grinding wheel 17 and the workpiece W such as the machining start position does not shift.
- the correction amount ⁇ Pw ( ⁇ Pm) of the helical motion error ⁇ P may be set to 0 (none).
- Such calculation is performed by the NC device 31 shown in FIG.
- the pressure angle error ⁇ fa L of the left tooth surface, the pressure angle error ⁇ fa R of the right tooth surface, the tooth line error ⁇ L, and the tooth thickness error ⁇ th are displayed as measurement data of the workpiece W.
- the correction amount ⁇ Xm of the radial position error ⁇ X, the correction amount ⁇ Ym of the grinding wheel lateral position error ⁇ Y, the correction amount ⁇ m of the grinding wheel turning angle error ⁇ , the correction amount ⁇ Pw of the helical motion error ⁇ P, And the correction amount ⁇ Zm of the Zm-axis direction position is calculated by the NC device 31 and displayed on the display unit 37.
- the NC device 31 based on the correction amounts ⁇ Xm, ⁇ Ym, ⁇ Zm, ⁇ m, and ⁇ Pm, the position (cutting amount) in the Xm-axis direction, the position in the Y-axis direction, and the position in the Z-axis direction of the thread-like grindstone 17 Further, by correcting the turning angle (axis crossing angle ⁇ ) around the grindstone turning axis A and the rotation speed of the work W around the work rotation axis C1, for example, the tooth profile of the work W is as shown in FIG. It is possible to grind into a tooth profile that is close to a desired processing target value.
- the measured pressure angle errors ⁇ fa L and ⁇ fa R on the tooth surface of the workpiece W are the radial position and the grindstone lateral direction.
- the tooth error ⁇ L in the tooth surface of the measured workpiece W is decreased by correcting the helical motion.
- the tooth thickness error ⁇ th on the tooth surface is reduced by correcting the radial position, the lateral position of the grindstone, and the helical motion. Therefore, the tooth shape error (pressure) in the tooth profile grinding of the workpiece W by the barrel-shaped threaded grindstone 17 is reduced.
- the helical motion correction amount ⁇ Pm is set so as to reduce the tooth trace error ⁇ L, and then the asymmetric pressure angle errors ⁇ fa L and ⁇ fa are set.
- the grinding wheel lateral position correction amount ⁇ Ym is set so that R decreases, and then the radial position correction amount ⁇ Xm and the grinding wheel such that the symmetric pressure angle errors ⁇ fa L and ⁇ fa R and the tooth thickness error ⁇ th decrease.
- the correction amount ⁇ Ym of the error ⁇ Y, the correction amount ⁇ m of the grindstone turning angle error ⁇ , and the correction amount ⁇ Pm of the helical motion error ⁇ P) can be appropriately set in order to perform correction.
- the pressure angle errors ⁇ fa L and ⁇ fa R are the radial position error ⁇ X, the wheel lateral position error ⁇ Y, the wheel turning angle error ⁇ , and the helical motion error ⁇ P.
- the influence of the tooth line error ⁇ L due to the helical movement error ⁇ P, and the influence of the tooth thickness error ⁇ th due to the radial direction position error ⁇ X, the grinding wheel turning angle error ⁇ , and the helical movement error ⁇ P are analyzed in advance.
- the radial position, the wheel lateral position, the wheel turning angle, and the helical motion are corrected so that the pressure angle errors ⁇ fa L and ⁇ fa R , the tooth trace error ⁇ L, and the tooth thickness error ⁇ th are reduced.
- Amounts ⁇ Xm, ⁇ Ym, ⁇ m, ⁇ Pm are set, and based on these correction amounts ⁇ Xm, ⁇ Ym, ⁇ m, ⁇ Pm, the radial direction position, the grindstone lateral position, and the grindstone turning angle
- ⁇ Xm, ⁇ Ym, ⁇ m, ⁇ Pm the radial direction position, the grindstone lateral position, and the grindstone turning angle
- ⁇ fa L , ⁇ fa R tooth streak error ⁇ L and tooth thickness error ⁇ th of the workpiece W (internal gear)
- Each correction amount ⁇ Xm, ⁇ Ym, ⁇ m, ⁇ Pm of the helical movement (radial position error ⁇ X, grinding wheel lateral position error ⁇ Y, grinding wheel turning angle error ⁇ , and helical movement error ⁇ P) is calculated.
- the tooth profile shape error of the workpiece W can be corrected with high accuracy at an early stage, and workability is improved.
- the workpiece W is a spur gear
- the workpiece W is a spur gear by setting the correction amount ⁇ Pm of the helical motion to 0. Suitable for the case.
- the present invention relates to an internal gear machining method and an internal gear machining machine for grinding a tooth surface of an internal gear (tooth profile grinding) with a barrel-shaped threaded grindstone, correcting a tooth profile shape error generated in the internal gear, It is useful when applied to achieve highly accurate tooth profile grinding of internal gears.
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Abstract
Description
計測された前記内歯車の歯面における圧力角誤差は、ラジアル方向位置と砥石横方向位置と砥石旋回角とヘリカル運動とを補正することにより、減少させ、
計測された前記内歯車の歯面における歯すじ誤差は、ヘリカル運動を補正することにより、減少させ、
計測された前記内歯車の歯面における歯厚誤差は、ラジアル方向位置と砥石横方向位置とヘリカル運動とを補正することにより、減少させること、
を特徴とする。
まず、前記歯すじ誤差が減少するようなヘリカル運動の補正量を設定し、
次に、非対称な前記圧力角誤差が減少するような砥石横方向位置の補正量を設定し、
次に、対称な前記圧力角誤差と前記歯厚誤差が減少するようなラジアル方向位置の補正量と砥石旋回角の補正量とを設定して、
これらの各補正量に基づき、ラジアル方向位置と砥石横方向位置と砥石旋回角とヘリカル運動とを補正すること、
を特徴とする。
前記圧力角誤差がラジアル方向位置誤差と砥石横方向位置誤差と砥石旋回角誤差とヘリカル運動誤差とにより受ける影響と、前記歯すじ誤差が前記ヘリカル運動誤差により受ける影響と、前記歯厚誤差がラジアル方向位置誤差と砥石旋回角誤差とヘリカル運動誤差とにより受ける影響と、を予め解析しておき、この解析結果に基づいて前記圧力角誤差、前記歯すじ誤差及び前記歯厚誤差が減少するようなラジアル方向位置と砥石横方向位置とヘリカル運動と砥石旋回角の各補正量をそれぞれ設定し、これらの各補正量に基づいて、ラジアル方向位置と砥石横方向位置とヘリカル運動と砥石旋回角とを補正することを特徴とする。
前記内歯車がスパーギヤの場合、前記ヘリカル運動の補正量を0とすることを特徴とする。
計測された前記内歯車の歯面における圧力角誤差は、ラジアル方向位置と砥石横方向位置と砥石旋回角とヘリカル運動とを補正することにより、減少させ、計測された前記内歯車の歯面における歯すじ誤差は、ヘリカル運動を補正することにより、減少させ、計測された前記内歯車の歯面における歯厚誤差は、ラジアル方向位置と砥石横方向位置とヘリカル運動とを補正することにより、減少させる歯形形状誤差補正手段を備えたこと、
を特徴とする。
前記歯形形状誤差補正手段は、まず、前記歯すじ誤差が減少するようなヘリカル運動の補正量を設定し、次に、非対称な前記圧力角誤差が減少するような砥石横方向位置の補正量を設定し、次に、対称な前記圧力角誤差と前記歯厚誤差が減少するようなラジアル方向位置の補正量と砥石旋回角の補正量とを設定して、これらの各補正量に基づき、ラジアル方向位置と砥石横方向位置と砥石旋回角とヘリカル運動とを補正すること、
を特徴とする。
前記歯形形状誤差補正手段は、前記圧力角誤差がラジアル方向位置誤差と砥石横方向位置誤差と砥石旋回角誤差とヘリカル運動誤差とにより受ける影響と、前記歯すじ誤差が前記ヘリカル運動誤差により受ける影響と、前記歯厚誤差がラジアル方向位置誤差と砥石旋回角誤差とヘリカル運動誤差とにより受ける影響と、を予め解析した解析結果に基づいて前記圧力角誤差、前記歯すじ誤差及び前記歯厚誤差が減少するようなラジアル方向位置と砥石横方向位置とヘリカル運動と砥石旋回角の各補正量をそれぞれ設定し、これらの各補正量に基づいて、ラジアル方向位置と砥石横方向位置とヘリカル運動と砥石旋回角とを補正すること、
を特徴とする。
前記内歯車がスパーギヤの場合、前記歯形形状誤差補正手段は、前記ヘリカル運動の補正量を0とすることを特徴とする。
これらの各補正量に基づき、ラジアル方向位置と砥石横方向位置と砥石旋回角とヘリカル運動とを補正するため、各歯形形状誤差(非対称な前記圧力角誤差、対称な前記圧力角誤差、歯すじ誤差、歯厚誤差)に対応する各補正量(ラジアル方向位置誤差の補正量、砥石横方向位置誤差の補正量、砥石旋回角誤差の補正量、ヘリカル運動誤差の補正量)を順に適切に設定して、補正をすることができる。
次に、この算出したワーク基準の座標軸に関する補正量ΔXw,ΔYw,ΔΣw,ΔPwに基づいて、内歯車研削盤1の各軸に関する補正量ΔXm,ΔYm,ΔΣm,ΔPmを設定する。このとき、補正量ΔXm,ΔΣm,ΔPmは補正量ΔXw,ΔYw,ΔΣw,ΔPwと同じ値に設定する。一方、補正量ΔYmは、補正量ΔYmにおけるYw軸方向の成分が補正量ΔYwと同じになるよう、Yw軸に対するYm軸の傾斜角に基づいて補正量ΔYwを、補正量ΔYmに換算して設定する。また、この補正量ΔYmの設定にともなって、加工開始位置などのねじ状砥石17とワークWの接触位置のずれが生じないようにするためにZm軸方向位置の補正量ΔZmも設定する。
なお、図示例はワークW(内歯車)がヘリカルギヤの場合であるが、ワークW(内歯車)がスパーギヤの場合には、へリカル運動誤差ΔPの補正量ΔPw(ΔPm)を0(無し)にすればよい。
(2) 次に、非対称な圧力角誤差ΔfaL,ΔfaRを修正する(減少させる)ための補正量として、砥石横方向位置誤差ΔYに対する補正量ΔYwを求める。
(3) 次に、対称な圧力角誤差ΔfaL,ΔfaRと歯厚誤差Δthを修正する(減少させる)ための補正量として、ラジアル方向位置誤差ΔXに対する補正量ΔXwと、砥石旋回角誤差ΔΣに対する補正量ΔΣwとを求める。
ΔX=X0´-X0
ΔY=Y0´-Y0
であり、ΔX,ΔYから歯幅方向の上端と下端での歯すじ誤差ΔLT´,ΔLB´が求められ、これらのΔLT´,ΔLB´の合計がピッチ円付近での歯すじ誤差ΔL´となり、図9(b)に示すような歯形チャートとなる。
X0´=X0+ΔX
Y0´=Y0+ΔY
であるが、X0´,Y0´にはヘリカル運動誤差ΔPから(2)式にて求めたΔX0,ΔY0を加算する。すると、求めたデータ(X0´,Y0´)から図9(c)に示すような歯形チャートが得られ、圧力角誤差ΔfaL´(ΔfaR´)を求めることができる。
f=(ΔfaL´-ΔfaL)2+(ΔfaR´-ΔfaR)
この数式を用いて推定した砥石横方向位置誤差ΔYの補正量ΔYwに対して、評価関数fがf=0(もしくは最小)となれば、実際の砥石横方向位置誤差ΔYが正確に推定されたことになり、実際には、評価関数fが最小となる砥石横方向位置誤差ΔYの補正量ΔYwを求めたこととなる。
f=(ΔfaL´-ΔfaL)2+(ΔfaR´-ΔfaR)+(Δth´-Δth)2
この数式を用いて推定したラジアル方向位置誤差ΔX及び砥石旋回角誤差ΔΣの補正量ΔXw,ΔΣwに対して、評価関数fがf=0(もしくは最小)となれば、実際のラジアル方向位置誤差ΔX、砥石旋回角誤差ΔΣが正確に推定されたことになり、実際には、評価関数fが最小となるラジアル方向位置誤差ΔX及び砥石旋回角誤差ΔΣの補正量ΔXw,ΔΣwを求めたこととなる。
Claims (8)
- 内歯車と樽形ねじ状砥石とを互いに軸交差角を与えた状態で噛み合わせて同期回転させることにより、前記樽形ねじ状砥石によって前記内歯車の歯面の研削加工を行なう内歯車の加工方法において、
計測された前記内歯車の歯面における圧力角誤差は、ラジアル方向位置と砥石横方向位置と砥石旋回角とヘリカル運動とを補正することにより、減少させ、
計測された前記内歯車の歯面における歯すじ誤差は、ヘリカル運動を補正することにより、減少させ、
計測された前記内歯車の歯面における歯厚誤差は、ラジアル方向位置と砥石横方向位置とヘリカル運動とを補正することにより、減少させること、
を特徴とする内歯車加工方法。 - 請求項1に記載の内歯車加工方法において、
まず、前記歯すじ誤差が減少するようなヘリカル運動の補正量を設定し、
次に、非対称な前記圧力角誤差が減少するような砥石横方向位置の補正量を設定し、
次に、対称な前記圧力角誤差と前記歯厚誤差が減少するようなラジアル方向位置の補正量と砥石旋回角の補正量とを設定して、
これらの各補正量に基づき、ラジアル方向位置と砥石横方向位置と砥石旋回角とヘリカル運動とを補正すること、
を特徴とする内歯車加工方法。 - 請求項1又は2に記載の内歯車加工方法において、
前記圧力角誤差がラジアル方向位置誤差と砥石横方向位置誤差と砥石旋回角誤差とヘリカル運動誤差とにより受ける影響と、前記歯すじ誤差が前記ヘリカル運動誤差により受ける影響と、前記歯厚誤差がラジアル方向位置誤差と砥石旋回角誤差とヘリカル運動誤差とにより受ける影響と、を予め解析しておき、この解析結果に基づいて前記圧力角誤差、前記歯すじ誤差及び前記歯厚誤差が減少するようなラジアル方向位置と砥石横方向位置とヘリカル運動と砥石旋回角の各補正量をそれぞれ設定し、これらの各補正量に基づいて、ラジアル方向位置と砥石横方向位置とヘリカル運動と砥石旋回角とを補正することを特徴とする内歯車加工方法。 - 請求項1~3の何れか1項に記載の内歯車加工方法において、
前記内歯車がスパーギヤの場合、前記ヘリカル運動の補正量を0とすることを特徴とする内歯車加工方法。 - 内歯車と樽形ねじ状砥石とを互いに軸交差角を与えた状態で噛み合わせて同期回転させることにより、前記樽形ねじ状砥石によって前記内歯車の歯面の研削加工を行なう内歯車加工機において、
計測された前記内歯車の歯面における圧力角誤差は、ラジアル方向位置と砥石横方向位置と砥石旋回角とヘリカル運動とを補正することにより、減少させ、計測された前記内歯車の歯面における歯すじ誤差は、ヘリカル運動を補正することにより、減少させ、計測された前記内歯車の歯面における歯厚誤差は、ラジアル方向位置と砥石横方向位置とヘリカル運動とを補正することにより、減少させる歯形形状誤差補正手段を備えたこと、
を特徴とする内歯車加工機。 - 請求項5に記載の内歯車加工機において、
前記歯形形状誤差補正手段は、まず、前記歯すじ誤差が減少するようなヘリカル運動の補正量を設定し、次に、非対称な前記圧力角誤差が減少するような砥石横方向位置の補正量を設定し、次に、対称な前記圧力角誤差と前記歯厚誤差が減少するようなラジアル方向位置の補正量と砥石旋回角の補正量とを設定して、これらの各補正量に基づき、ラジアル方向位置と砥石横方向位置と砥石旋回角とヘリカル運動とを補正すること、
を特徴とする内歯車加工機。 - 請求項5又は6に記載の内歯車加工機において、
前記歯形形状誤差補正手段は、前記圧力角誤差がラジアル方向位置誤差と砥石横方向位置誤差と砥石旋回角誤差とヘリカル運動誤差とにより受ける影響と、前記歯すじ誤差が前記ヘリカル運動誤差により受ける影響と、前記歯厚誤差がラジアル方向位置誤差と砥石旋回角誤差とヘリカル運動誤差とにより受ける影響と、を予め解析した解析結果に基づいて前記圧力角誤差、前記歯すじ誤差及び前記歯厚誤差が減少するようなラジアル方向位置と砥石横方向位置とヘリカル運動と砥石旋回角の各補正量をそれぞれ設定し、これらの各補正量に基づいて、ラジアル方向位置と砥石横方向位置とヘリカル運動と砥石旋回角とを補正すること、
を特徴とする内歯車加工機。 - 請求項5~7の何れか1項に記載の内歯車加工機において、
前記内歯車がスパーギヤの場合、前記歯形形状誤差補正手段は、前記ヘリカル運動の補正量を0とすることを特徴とする内歯車加工機。
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EP10811676.5A EP2471621B1 (en) | 2009-08-24 | 2010-08-06 | Internal gear machining method |
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BR112012004138A BR112012004138A2 (pt) | 2009-08-24 | 2010-08-06 | método e aparelho de usinagem de engrenagem interna |
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