50 results about "Involute gear" patented technology

The invention belongs to the technical field of gear machining, and discloses a gear milling blade and a disc-shaped milling cutter. The gear milling blade is installed on the end faces of the two sides of a milling cutter disc and comprises a top edge, a side edge and an auxiliary edge, and the top edge is arranged between the side edge and the auxiliary edge. The outer contour line of the top edge protrudes towards the workpiece to be machined, the outer contour line of the top edge comprises a top edge arc line and a Bezier curve, one end of the top edge arc line is connected with the outer contour line of the side edge, and the other end of the top edge arc line is an end point E; one end of the Bezier curve is connected with the end point E and is tangent to the end point E, and the other end of the Bezier curve is connected with the outer contour line of the auxiliary blade. The gear milling blade has the outline shape of a Bezier curve, and can effectively improve curvature distribution on a tooth root transition curve, increase the curvature radius of the tooth root transition curve and reduce tooth root stress when cutting a tooth groove, so that the tooth root strength of an involute gear is improved.

The invention belongs to the technical field of gear machining, and discloses a gear milling blade and a disc-shaped milling cutter. The tooth milling blade comprises a side edge, a top edge and an auxiliary edge, wherein the top edge is arranged between the side edge and the auxiliary edge; the outer contour line of the top edge protrudes towards the workpiece to be machined, the outer contour line of the top edge comprises a top edge arc line and an oval arc line, one end of the top edge arc line is connected with the outer contour line of the side edge, and the other end of the top edge arc line is an end point E; one end of the elliptic arc line is connected with the end point E and is tangent to the end point E, and the other end of the elliptic arc line is connected with the outer contour line of the auxiliary blade. The tooth milling blade is provided with an elliptical profile curve, so that the curvature distribution on a tooth root transition curve can be effectively improved, the curvature radius of the tooth root transition curve is increased and the tooth root stress is reduced when a tooth groove is cut, and thus the tooth root strength of an involute gear is improved; and meanwhile, the elliptic arc line and the top edge arc line are connected and tangent at the end point E, so that the outer contour line of the top edge is ensured to be smooth.

The invention relates to the technical field of hard tubular bus grounding tools, and particularly discloses an extra-high voltage hard tubular bus grounding device, which comprises a fixed base; the movable pressing head is hinged to the fixed base through a rotating shaft, a pressing face is formed on the inner side of the movable pressing head, an involute gear structure is formed on the outer side of the movable pressing head, and ratchets are arranged on an involute gear; the driving handle is connected to the pawl, and the pawl is meshed with the ratchets on the movable pressing head; the pressure sensing module is embedded into the pressing surface of the movable pressing head or the pressure-bearing surface of the fixed base and is used for directly detecting the clamping pressure on the cable and the tubular bus; and the feedback module is connected with the pressure sensing module and used for providing perceptible feedback of the real-time clamping pressure. Therefore, the defects of a conventional grounding wire are overcome, and the cable can be safely, conveniently and reliably mounted on the hard tubular bus, so that the blank in the prior art is filled by providing a temporary grounding point with a clear state, and a safety guarantee is provided for the maintenance work of core equipment of an extra-high voltage transformer substation.

The application belongs to the technical field of gear machining, and discloses a gear milling blade and a disc-shaped milling cutter. The gear milling blade comprises a side blade, a top blade and a sub-blade, and the top blade is arranged between the side blade and the sub-blade. The outer contour line of the top blade is convex to a workpiece to be machined, and the outer contour line of the top blade comprises a top blade arc line and an elliptical arc line. One end of the top blade arc line is connected with the outer contour line of the side blade, and the other end of the top blade arc line is an end point E. One end of the elliptical arc line is connected with the end point E and is tangent to the end point E at the end point E, and the other end of the elliptical arc line is connected with the outer contour line of the sub-blade. The gear milling blade has an elliptical profile curve, which can effectively improve the curvature distribution on the dedendum transition curve, increase the curvature radius of the dedendum transition curve and reduce the dedendum stress when cutting the gear slot, so as to improve the dedendum strength of the involute gear. Meanwhile, since the elliptical arc line is connected with the top blade arc line at the end point E and is tangent to the top blade arc line at the end point E, the outer contour line of the top blade is smooth and smooth.

The invention provides a method for measuring and calculating the abrasion loss of an involute gear based on a self-reference datum. The method does not need to depend on an external reference, measurement errors caused by reference deviation are effectively reduced, an accurate and rapid calculation method is found, accurate calculation of different involute gear abrasion losses can be achieved by changing the basic parameters of the gear, and the calculation accuracy is improved. Similarly, the abrasion loss of corresponding involute parts, such as involute splines, can be accurately calculated. And a key technical support is provided for wear loss precision control and data reliability of the gear tooth surface in gear wear and gear contact fatigue tests and process and parameter design of the gear.

The application provides a measurement and calculation method based on self-reference reference involute gear wear amount. The method does not need to rely on external reference, effectively reduces the measurement error caused by reference deviation, and finds an accurate and fast calculation method. By changing the basic parameters of the gear, the accurate calculation of different involute gear wear amounts can be realized, and the wear amounts of corresponding involute parts, such as involute splines, can also be accurately calculated. The method provides key technical support for the precision control and data reliability of the gear tooth surface wear amount in the gear wear and gear contact fatigue test, and the process and parameter design of the gear.

The present application relates to a kind of gear machining process for one-way engagement.The present application includes S1, blanking: providing blank;The blank is annealed;Carry out shot blasting treatment;Phosphorus saponification surface treatment is carried out to facilitate surface lubrication;By the plastic deformation mode of extrusion material, form two connected cylinders of different sizes;Cold extrusion after the blank of shrinkage diameter is carried out cold extrusion flat processing;Preform outer circle spline extension initial step;Carry out recrystallization annealing treatment;Carry out shot blasting treatment;Phosphorus saponification surface treatment is carried out;One-time extrusion forming inner hole ratchet tooth, outer circle involute gear and involute straight spline;The workpiece after extrusion forming is turned;The workpiece after turning is treated by heat treatment carburizing quenching;The workpiece after carburizing quenching is treated by tempering;Carry out shot blasting treatment.The present application improves the single-tooth strength of inner hole ratchet tooth and outer circle involute gear, and can greatly improve production efficiency and reduce production cost.

A reference circle positioning device for an involute internal gear and a spline relates to the technical field of involute gear measurement and solves the problems that in the prior art, all gears cannot be used as a positioning reference, so that measurement errors exist, existing production requirements cannot be met and the like, the device comprises a positioning shaft system assembly, a positioning reference sleeve and a lever, the positioning shaft system assembly is installed in the positioning reference sleeve and moves and rotates. A positioning reference sleeve is fixed on a bottom plate, a lever is pressed down to lift up a positioning shaft in a positioning shaft system assembly, a measuring ball in a retainer shrinks, a detected product piece is put in, the lever is loosened, and the measuring ball in the retainer is pushed out to be extruded on a gear pitch circle in the detected product piece; and the detected product passes through the two retainers of the positioning shaft system assembly to realize the upper section and the lower section of the detected product. All teeth are considered as positioning references. And the positioning precision is improved.

The invention discloses a design method of a diamond roller for finishing a worm grinding wheel, which comprises the following steps of: firstly, finishing design of an involute gear tooth profile modification curve in a quadratic curve splicing manner, and obtaining a modification involute tooth surface equation based on an involute modification principle; then a meshing coordinate system based on a hypothetical rack method is established, a hypothetical rack tooth surface equation is obtained through meshing solving of the modification involute tooth surface equation, and furthermore, a worm grinding wheel tooth surface equation is obtained through secondary meshing solving of the hypothetical rack tooth surface equation; and finally, establishing a diamond roller trimming worm grinding wheel coordinate system, and obtaining a diamond roller profile according to the worm tooth surface equation in the step B on the basis of a contact line principle. According to the method, the problems that in the process of designing the diamond roller for the multi-section complex modified gear for the new energy automobile, the profile is prone to being concave inwards, and the precision is low are solved, accurate solving of the profile of the diamond roller is achieved, and the design and machining reliability of the diamond roller is improved.

The invention relates to a damage-free collecting device for ultralow single denier diacetate fiber tow production. The damage-free collecting device comprises a tow guiding device, an involute gear double-roller traction mechanism and a hydraulic lifting collecting system. The tow guiding device pre-gathers tows through a plurality of sections of arc bending restraining pieces and a conical contraction pipe, and the stability of the moving track is improved. The traction mechanism adopts a meshing pressure surface to replace traditional friction traction, and is matched with synchronous control of a servo motor to eliminate slipping and damage; the collecting system dynamically adjusts the height of a box body through a hydraulic lifting table, and tows are evenly laid. The method has the advantages that the yarn breakage rate can be effectively reduced, the production stability of the ultra-low single-denier tows for acetate staple fibers is improved, and the method can be suitable for efficient production of 1.3-denier ultra-low single-denier tows and the like.

The invention relates to the technical field of involute gear and spline gear shaping, in particular to an auxiliary centering device and centering method for an involute gear and spline gear shaping. The core purpose of the invention is to provide a novel auxiliary tool setting tool aiming at the technical defects of low tool setting precision and poor efficiency in the traditional gear shaping machining process, so that the tool setting precision problem is solved, and the production efficiency is improved; and finally, double optimization of the machining quality and the production efficiency is achieved.

The application discloses a kind of micro gear dynamics modeling methods containing rotation pair gap, belong to gear transmission system dynamics simulation technical field.The method is established by considering the calculation model of meshing stiffness of rotation pair gap based on the meshing principle of involute gear and potential energy method, deduces the calculation formula of important parameters such as gear meshing angle, side clearance, coincidence degree, and establishes the time-varying meshing stiffness calculation model of gear containing rotation pair gap;The application comprehensively considers the change of gear pair center distance caused by the existence of rotation pair gap, influences the meshing stiffness of gear, load distribution coefficient, meshing angle and side clearance etc., the change of these parameters will cause gear to present different nonlinear dynamic behavior, provide theoretical support for noise reduction and life extension of gear transmission system.

The invention discloses a reference circle positioning mandrel for an involute internal gear and an involute internal spline, and relates to the technical field of involute gear measurement. The problems that a gear measuring instrument or three coordinates are adopted for detecting the reference circles of the involute internal gear and the internal spline in the prior art, the actual production requirement cannot be guaranteed in the measuring time, only several reference circle points can be selected for measurement in the measuring process, and the measuring accuracy cannot be protected are solved. The tapered roller bearing comprises a tapered mandrel, a retainer formed by printing through the 3D technology, positioning steel balls, a first check ring and a second check ring. The first check ring and the second check ring are installed at the two ends of the taper mandrel, and the holder is installed on the taper mandrel and moves between the first check ring and the second check ring. A certain number of semispherical cavities are arranged in the involute ribs of the retainer, and positioning steel balls used for measuring an M value are mounted in the semispherical cavities. According to the positioning mandrel, all gears are considered in the measurement process, and the measurement repeatability and the measurement result are more accurate.

The invention relates to the technical field of harmonic speed reducers, and provides a high-stability gear speed reducer with a good heat dissipation effect, the high-stability gear speed reducer comprises an input shaft, an output shaft, a first cycloidal gear, a second cycloidal gear and a gear ring, and the output shaft, the first cycloidal gear, the second cycloidal gear and the gear ring are sequentially arranged in the axial direction of the axis of the input shaft; the first cycloidal gear and the second cycloidal gear are both meshed with the inner gear, the gear is an involute gear with short tooth height and large pressure angle, and synchronous reverse input of power is achieved through the arrangement of the first eccentric wheel, the second eccentric wheel and other structures and the arrangement of the input shaft, the first eccentric wheel and the second eccentric wheel which are oppositely arranged in the reverse direction. According to the technical scheme, rotary motion is converted into reciprocating motion of the cycloidal gear by combining the second transmission bearing and the third transmission bearing, efficient speed reduction transmission is achieved through meshing of the small-tooth-difference inner gear and the cycloidal gear, the single-stage transmission ratio is large, the structure is flattened, and the problems that in the prior art, speed reduction transmission efficiency is low and stability is insufficient are solved through the technical scheme.

The invention discloses a worm and gear grinding tooth surface forming method and a transmission error evaluation method considering multi-head grinding wheel base pitch errors, and the method comprises the steps: firstly obtaining parameters such as a gear, a grinding wheel, machining and multi-head grinding wheel base pitch errors, defining the base pitch errors, building a grinding wheel surface model considering the errors, and building a standard involute gear model; then the grinding wheel rotating coordinate system is sequentially converted into a gear rotating coordinate system through coordinate transformation, tooth surface generation operation is conducted, and the tooth surface morphology is obtained; and finally, carrying out fast Fourier transform analysis on the tooth surface ripples, extracting tooth surface features and evaluating the ghost frequency noise risk. According to the method, the influence of the base pitch error of the multi-head grinding wheel can be accurately considered in the tooth surface generation process, tooth surface morphology prediction and howling risk analysis are achieved, and high universality and engineering application value are achieved.

The invention relates to the asymmetrical curvilinear involute profile gear (10) used in external gear pumps, which reduces flow fluctuation and, thus, noise level, reduces cavitation phenomenon, and ensures efficient operation.

This invention discloses a precision shaping process for involute gear parts, comprising the following steps: placing the parts to be processed sequentially and intermittently on a strip of material, and processing the parts on the strip of material using a continuous die; punching guide holes in the strip of material with the parts to be processed; rough punching the parts to be processed to create positioning side edges and small holes; shaping the small holes of the parts after arranging two empty steps; shaping the positioning holes of the parts; performing semi-finish blanking on the tooth profile of the parts; and finishing the tooth profile of the parts and blanking. This precision shaping process for involute gear parts addresses the characteristics of small part size and small involute tooth width, resulting in a small amount of tooth profile shaping. By using a single continuous die, the parts are processed to achieve high-precision tooth profile dimensions and high-precision tooth profile surface roughness.

A gear having volume expansion for cavitation reduction in a gear pump mesh. The gear has a gear tooth profile; a body; a plurality of involute gear teeth extending radially outward from the body and including first and second neighboring gear teeth each having a respective tip and a root, the first and second neighboring gear teeth defining a space between them; and a root pocket formed directly into the roots of the gear teeth and in the space between the gear teeth, providing an increased gear root volume and adding trapped fluid compliance while leaving unaltered the gear tooth profile. Also disclosed is a gear pump including the gear.

The application discloses a high-power stepless speed regulation system based on differential planetary transmission and a control method, and belongs to the field of mechanical transmission. The system comprises a main shell, an inner spline groove is arranged in the middle section of the inner wall of the main shell, an input end cover is arranged on the axial right end surface of the main shell, an output end cover is arranged on the axial left end surface of the main shell, the input end cover and the output end cover are fixedly connected to the corresponding end flange mounting surfaces of the main shell through bolts, and a sun wheel shaft assembly, a planetary wheel assembly, an inner gear ring and a planetary carrier assembly are sequentially arranged in the main shell from inside to outside along the radial direction. The differential planetary transmission structure that the planetary wheel assembly is simultaneously rigid involute gear meshed with the outer teeth of the sun wheel and the inner teeth of the inner gear ring is arranged, all working torques are transmitted in a pure mechanical gear meshing mode, and therefore, the effects that the transmission efficiency is high, the bearing capacity is strong, and the power density is obviously superior to that of a hydraulic transmission and a friction transmission scheme are achieved.

The present invention belongs to the technical field of fluid machinery structures, and particularly relates to a composite gear pump structure. It comprises a pair of external meshing involute gear pumps and several pairs of internal meshing cycloid gear pumps. The external meshing involute gear pumps comprise a driving gear, a driven gear, a driving gear shaft, and a driven gear shaft. The driving gear shaft and the driven gear shaft are mounted on a lubricating oil pump mounting seat, with the driving gear mounted on the driving gear shaft and the driven gear mounted on the driven gear shaft. During operation, the driving gear shaft drives the driving gear and several pairs of internal meshing cycloid gear pumps mounted thereon to rotate in phase, the driving gear drives the driven gear to rotate in the opposite direction, the driven gear drives the driven gear shaft to rotate in phase, and the driven gear shaft drives several pairs of internal meshing cycloid gear pumps mounted thereon to rotate in phase. The present invention increases the operating speed range of the external meshing involute gear pump and shortens the axial length of the internal meshing cycloid gear pump to meet the design requirements of high-speed, high-flow lubricating oil pumps.

The invention discloses an on-machine measurement modification parameter identification method for a large-specification involute gear. The method specifically comprises the following steps: step 1, determining an optimal fitting order of an error curve by utilizing a moss growth optimization algorithm; 2, fitting on-machine measurement original data with the optimal fitting order to obtain an initial overall curve, and then obtaining an approximate derivative curve of the initial overall curve; 3, according to the approximate derivative curve, judging whether the shape modification type is upper and lower end portion edge modification or drum shape modification; 4, if edge trimming is carried out on the upper end and the lower end, a top edge trimming starting end point and a root edge trimming tail end point are recognized according to the approximate derivative curve, fitting is carried out according to the two end points to form a final error curve, and then the shape trimming amount is obtained according to the final error curve; 5, if drum shape modification is carried out, the bulging height is recognized, then parabola fitting is carried out, and the drum shape quantity is calculated. According to the method, the problem that fitting distortion is easy to occur when polynomial fitting is directly carried out on measured original data in the prior art is solved.

The application belongs to the technical field of tunneling construction equipment, and discloses a design method of a multi-tooth rock breaking cutter of a cutter head of a honeycomb type tunnel boring machine. The design method designs involute gear cutting tooth structure at the overall circumference of a cutter ring of a rolling cutter, and simultaneously uses radial force and shearing force generated by gear cutting to break rocks, so as to replace the traditional rolling cutter which only relies on the extrusion force and impact force of the cutter head to cut and break rocks, and to realize high-speed cutting construction of the tunnel boring machine. Meanwhile, the traditional solid connecting structure cutter shaft is improved to be a honeycomb type porous structure rolling cutter shaft. The honeycomb structure is composed of a series of hexagonal or other polygonal honeycomb structures arranged in the shaft body in a regular manner, and forms a continuous, uniform and periodic topological structure. The structure design improves the durability and stability of the cutter shaft under harsh working conditions on the premise of ensuring that the cutter shaft has sufficient strength and rigidity, thereby prolonging the service life of the cutter shaft.

The application belongs to the technical field of gear machining, and discloses a gear milling blade and a disc-shaped milling cutter. The gear milling blade is installed on the end face of the milling cutter disc, and comprises a top blade, a secondary blade and a side blade. The top blade is arranged between the side blade and the secondary blade. The outer contour line of the top blade protrudes towards the workpiece to be machined. The outer contour line of the top blade comprises a top blade arc line and a transition curve. One end of the top blade arc line is connected with the outer contour line of the side blade, and the other end of the top blade arc line is an end point E. One end of the transition curve is connected with the end point E and is tangent to the end point E. The other end of the transition curve is connected with the outer contour line of the secondary blade. The gear milling blade has the contour shape of the transition curve, which can effectively improve the curvature distribution on the dedendum transition curve, increase the curvature radius of the dedendum transition curve, and reduce the dedendum stress when cutting the gear slot, thereby improving the dedendum strength of the involute gear.

The invention relates to a steering engine speed reduction transmission system and method based on a linear gear. The transmission system comprises a shell assembly, a driving motor, an output shaft and a speed reduction mechanism. The speed reducing mechanism is arranged in the shell assembly and is configured to transmit the output torque of the driving motor to the output shaft; the speed reducing mechanism comprises at least one level of linear gear pair, and the linear gear pair is formed by meshing a driving linear gear and a driven linear gear; and the driving line gear and the driven line gear are respectively generated by a preset space curve and a conjugate curve thereof, and form point contact pure rolling in the meshing transmission process. Through cooperation of all the mechanisms, the single-stage large-transmission-ratio design is achieved through the small tooth number by means of the characteristic that a linear gear is free of undercutting limitation. Compared with a steering engine adopting an involute gear, the friction loss is reduced, the vibration noise is reduced, the structure compactness is improved, and the steering engine is suitable for micro steering engines, robot joints, precise executing mechanisms and other scenes.

A separation device for a friction plate group relates to the field of friction plate groups of clutches. The present invention aims to solve the problems of low axial positioning accuracy of friction elements in existing wet friction clutches, which leads to large clutch drag torque, and poor clutch maintainability and low power density due to the use of cylindrical coil springs and guide rod separation in dry friction clutches. In the separation device for a friction plate group described in the present invention, an end plug is sealed at the head end of the involute gear ring of the clutch, a retaining ring is located between the end plate of the clutch and the flange, and is in close contact with the flange, an outer ring of the retaining ring is interference-fitted with an inner ring of the involute gear ring, a first wave spring is provided between the end plug and the first friction plate of the clutch, and the end plug and the first wave spring are fixedly connected, a second wave spring is provided between two adjacent friction plates of the clutch, and between the rear friction plate of the clutch and the retaining ring, and a third wave spring is provided between two adjacent plates of the clutch.

The invention relates to the asymmetrical curvilinear involute profile gear (10) used in external gear pumps, which reduces flow fluctuation and, thus, noise level, reduces cavitation phenomenon, and ensures efficient operation.

The invention discloses a device and a method for measuring M values of involute internal and external gears and internal splines, relates to the technical field of involute gear measurement, and solves the problem that the M values of large-size products cannot be measured by the existing measurement of the measured M values. The limiting seat, the optical axis supporting seat, the positioning block and the connecting seat are used for fixing the three-pipe frame structure; the three-pipe frame structure comprises a supporting pipe and two hollow optical shafts; after the two hollow optical shafts penetrate through two holes of the limiting seat, the positioning block and the optical shaft supporting seat respectively, the positioning block is fastened through screws, and locking of the two hollow optical shafts is achieved; the supporting pipe sequentially penetrates through the through holes in the tops of the two connecting bases to be parallel to the two hollow optical shafts, and the bottoms of the two connecting bases are fastened through the positioning blocks and the optical shaft supporting bases respectively. The measuring device provided by the invention solves the problem of measurement of the ultra-large modulus gear, and adopts a cake shape, and the maximum diameter of the measuring head can be 100 mm.

The invention relates to an inertia slip meshing speed reduction type one-way clutch and a control method thereof. The transmission comprises an input shaft; an inner spline matched with the involute spline is arranged in an inner hole of the spline shaft sleeve; an involute gear matched with an engine gear ring is arranged on the outer circle of the driving gear, a wedge-shaped roller path is arranged in a right inner hole of the driving gear, and a pin roller and a supporting spring are arranged in the wedge-shaped roller path; the transmission gear sleeves the periphery of the input shaft; the centrifugal mechanism generates a centrifugal effect at the moment when the transmission gear drives the spline shaft sleeve to rotate; the spacer sleeve is connected to the periphery of the second step of the input shaft in a sleeving mode, the locating cover I is connected to the periphery of the spacer sleeve in a sleeving mode, and the locating cover II is connected to the periphery of the locating cover I and the left outer circle of the driving gear in a sleeving mode; the left end of the compression spring abuts against the positioning cover I, and the right end of the compression spring abuts against the positioning cover II. The invention has the advantages of compact size, small volume and light weight, and is suitable for mass production.

The utility model relates to the technical field of petroleum machinery, in particular to a jar high-torsion-resistance transmission structure which comprises a mandrel, a transmission structure is arranged on the outer arc surface of the mandrel, the transmission structure comprises outer teeth, the outer teeth are fixedly connected to the outer arc surface of the mandrel in a circumferential array shape, a spline body is arranged on the outer arc surface of the mandrel, and the spline body is fixedly connected with the mandrel. The inner teeth are fixedly connected to the inner arc surface of the spline body in a circumferential array shape, the outer teeth are meshed with the inner teeth, and a first limiting hole is formed in the outer arc surface of the mandrel. According to the internal and external splines, involute tooth transmission is adopted, the number of teeth is increased, meanwhile, due to the particularity of the tooth shape, stress is more uniform compared with other structures, and the service life of the internal and external splines is prolonged. The defects that the structure is fast in abrasion and short in service life can be overcome, the transmission efficiency is improved, the matching precision is improved, the torsional strength of the jar is improved, impact in the torque transmission process is reduced, the assembly difficulty is reduced, the service life of a product is prolonged, and a large amount of use cost is saved.

The invention discloses a self-reference measuring and positioning method for tooth profile parameters of a standard involute gear, and belongs to the field of gear parameter measurement. The implementation method comprises the following steps of: measuring the tooth profile of the involute gear by using a three-coordinate measuring machine to obtain involute coordinate measurement sequence points; a measurement curve involute of a gear tooth profile is approximate to a sine curve in shape in a tooth profile application interval section, so that when the tooth profile is represented, an optimal demarcation point is optimized and determined in a residual effective value balancing mode; a left curve waveform and a right curve waveform are used, local sine curve approximate characterization of an involute is carried out, regression residual estimation is carried out in a local sine curve fitting mode, approximate parameterization characterization is carried out on the involute through double-sine model parameters, and starting point parameters and ending point parameters of a fitting sine curve interval section are found out; and an involute interval boundary corresponding to the tooth profile of the gear is obtained, a complete tooth profile parameter measurement and characterization result with a self-reference characteristic is obtained, and self-reference measurement positioning is realized.