Large-convexity logarithmic curve superfinishing guide roller design and roller machining method
Through the design of the logarithmic curve super-finishing roller and the roller processing method of large convexity logarithmic curve function formulas, the problem that the shape of the roller busbar is difficult to meet the design requirements is solved, and the roller convexity is significantly improved Value, meet product standards.
Patent Information
- Application Number
- CN202411444926.X
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-10-16
- Publication Date
- 2024-12-17
AI Technical Summary
The shape of the roller busbar processed in the existing super-finished test is difficult to meet the product design requirements, resulting in the roller convexity not meeting the expected value.
The design and roller machining method of large convex logarithmic curve superfine guide rollers are adopted. By deriving the logarithmic curve function formula, the shape grinding drawing of the superfine guide roller busbar is designed, and superfine processing and inspection are carried out to ensure the outer diameter of the roller. The convexity meets the design requirements.
The convexity of the roller processed through this method is greatly improved compared with the traditional method, and the convexity value has increased by nearly three times, meeting the product design requirements, and verifying that the convexity meets the standards through the contourmeter detection.
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Figure CN119150487A_ABST
Abstract
Description
Technical Field
[0001] The invention relates to the technical field of bearings, and in particular to a design of a large-convexity logarithmic curve super-precision guide roller and a roller processing method, which are used for processing rollers in cylindrical rollers. Background Art
[0002] The rolling element is a radial rolling bearing with cylindrical rollers. The internal structure of the cylindrical roller bearing adopts parallel arrangement of rollers, and spacers or isolation blocks are installed between the rollers to prevent the rollers from tilting or rubbing against each other, effectively preventing the increase of rotational torque. It has a large radial load capacity and a small friction coefficient.
[0003] The outer diameter convexity of the bearing roller can improve the stress distribution in the rolling contact area of the bearing, reduce or eliminate the edge stress concentration, and help to increase the service life of the bearing. There are many types of generatrix convexity on the outer diameter surface of the roller, such as full convexity, trimmed line type and logarithmic curve type. Among them, the logarithmic curve generatrix shape can ensure uniform stress distribution when the roller is under load, effectively eliminate the edge stress concentration phenomenon, and increase the service life of the bearing.
[0004] Commonly used bearing rollers are short cylindrical rollers, and the generatrix shape of cylindrical rollers is a logarithmic curve shape. The four types of rollers are φ12×12, which is measured from 0.9mm from the end face, with a convexity value of 0.008~0.012; φ14×16, which is measured from 1mm from the end face, with a convexity value of 0.01~0.014; φ18×18, which is measured from 1mm from the end face, with a convexity value of 0.012~0.016; φ21×21, which is measured from 1.2mm from the end face, with a convexity value of 0.017~0.021.
[0005] The existing rollers processed by super-precision tests have the problem that the generatrix shape is difficult to meet the product design requirements. Summary of the invention
[0006] The purpose of the present invention is to solve the problem that the generatrix shape of the roller processed by the existing superfinishing test is difficult to meet the product design requirements, and further provide a large crown logarithmic curve superfinishing guide roller design and roller processing method.
[0007] The technical solution of the present invention is:
[0008] The design of a large crown logarithmic curve super-precision guide roller and a roller processing method include the following steps:
[0009] Step 1: Based on the formula and convexity value given in the product diagram, derive the logarithmic curve function formula;
[0010]
[0011] Where, Y: ordinate of the logarithmic curve;
[0012] X: The distance from the roller center along the roller generatrix direction, x<0.5Lwe;
[0013] V12, V22: Poisson's ratio of roller to material, for bearing steel V = 0.277;
[0014] E1, E2: elastic modulus of roller and raceway materials, for bearing steel, E = 2.2005 × 1011 N / m 2 ;
[0015] Qmax: external force and maximum load on the roller;
[0016] Qmax=5Fr / Z, Fr: actual use load of the bearing, Z: number of rollers;
[0017] Lwe: effective length of roller;
[0018] Step 2: Design and process logarithmic curve guide rollers;
[0019] Step 21: Design the super-precision guide roller generatrix shape grinding drawing according to the derived logarithmic curve formula;
[0020] Step 22: Grind the outer diameter generatrix of the super-precision guide roller according to the grinding drawing;
[0021] Step 3: Roller outer diameter superfinishing test and inspection;
[0022] Step 31: Calculate the distance between guide rollers;
[0023] The guide roller spacing is calculated based on the guide roller diameter, roller diameter, and the pressure angle γ between the roller center line and the line connecting the two guide rollers:
[0024] Step 32: Setting the superfinishing parameters of the roller outer diameter;
[0025] S1: Grinding degree: roller speed is 110-150r / min, amplitude is 1.5-2mm; frequency: 900-1200 times / min; oilstone pressure is 1-3bar (kg / cm 2 );
[0026] S2: Super lapping outer diameter: roller speed 60-80r / min, amplitude 1.5-2mm; frequency: 450-600 times / min; oilstone pressure 0.4-0.6bar (kg / cm 2 );
[0027] Step 33: Busbar convexity and shape detection;
[0028] The shape and convexity of the roller generatrix are tested by a profilometer. The test results show that the convexity of the roller generatrix processed by the above method meets the design requirements.
[0029] Furthermore, when the logarithmic curve function formula in step 1 is applied to the processing of cylindrical rollers in the type 4 roller bearing, the coefficients of the logarithmic curve formula are calculated using a reverse algorithm.
[0030] Furthermore, the logarithmic curve formula of the cylindrical roller in the four-type roller bearing is as follows:
[0031] Type 1: The length of the φ14×16 roller is 16mm, the starting point of the convexity measurement is 1mm away from the end face, and the convexity value is: 0.01~0.014mm. The logarithmic curve function formula is derived:
[0032] Y=3.36×10-3Ln1 / [1-(2x / 14.2)2],X≠14.2 / 2
[0033] Type 2: φ18×18 roller length 18mm, convexity measurement starting point 1mm from the end face, convexity value: 0.012~0.016mm, derived logarithmic curve function formula:
[0034] Y=3.78×10-3Ln1 / [1-(2x / 16.2)2],X≠16.2 / 2
[0035] Type 3: φ12×12 roller length 12mm, convexity measurement starting point 0.9mm from end face, convexity value: 0.008~0.012mm, derived logarithmic curve function formula:
[0036] Y=3.06×10-3Ln1 / [1-(2x / 10.4)2],X≠10.4 / 2
[0037] Type 4: φ21×21 roller length 21mm, convexity measurement starting point 1.2mm from the end face, convexity value: 0.017~0.021mm, derived logarithmic curve function formula:
[0038] Y=4.93×10-3Ln1 / [1-(2x / 10.4)2],X≠10.4 / 2.
[0039] Furthermore, in step 22, the diameter difference between the corresponding positions of a pair of rollers used in the process of grinding the outer diameter generatrix of the super-precision guide roller is 0.01 mm, the grinding surface roughness is Ra0.2 mm, and the super-precision surface roughness is Ra0.1 mm.
[0040] Furthermore, the roller guide roller spacing formula in step 31 is: X = {[(Dw+d) / 2×cos(γ)]-Dw}×2
[0041] Dw: maximum diameter of the middle part of the guide roller; d: roller diameter; γ: pressure angle.
[0042] Furthermore, the generatrix convexity requirement of the type 4 roller in step 33 is:
[0043] Type 1 φ14×16: The convexity requirement at 1mm from the end face is 10-14μm;
[0044] Type 2 φ18×18: The convexity requirement at 1mm from the end face is 12-16μm;
[0045] Type 3 φ12×12: The convexity requirement at 0.9mm from the end face is 8-12μm;
[0046] Type 4 φ21×21: The convexity requirement at 1.2mm from the end face is 17~21μm.
[0047] Furthermore, the convexity detection of the type 4 roller in step 33 is as follows:
[0048] Type 1 φ14×16: The convexity value detection data is 11.5~13μm;
[0049] Type 2 φ18×18: The convexity value detection data is 14~16μm;
[0050] Type 3 φ12×12: The convexity value detection data is 10~11μm;
[0051] Type 4 φ21×21: The convexity value detection data is 17~19μm.
[0052] Compared with the prior art, the present invention has the following effects:
[0053] 1. The design of a large crown logarithmic curve super-precision guide roller and the roller processing method of the present invention are researches carried out around the large crown logarithmic curve roller processing technology. Through the research on the logarithmic curve formula, the processing of the guide roller and the super-precision test of the roller, the specific results are as follows:
[0054] (1) Based on the formula and convexity value given in the product drawing, derive the logarithmic curve function formula;
[0055] (2) Design and processing of logarithmic curve guide rollers; design the super-precision guide roller generatrix shape grinding drawing based on the derived logarithmic curve formula.
[0056] (3) Roller outer diameter superfinishing test and inspection.
[0057] Under the combined effect of the above steps, a roller with a busbar shape that meets the product design requirements is processed.
[0058] 2. The convexity of the cylindrical roller processed by the processing method of the present invention is nearly three times greater than the convexity value of 0.0035 to 0.0055 measured from the chamfered edge of the φ12×12 roller processed in the past. BRIEF DESCRIPTION OF THE DRAWINGS
[0059] Figure 1 It is a structural diagram of the guide roller of the present invention;
[0060] Figure 2 This is the grinding drawing of the guide roller;
[0061] Figure 3 This is a real picture of the large crown logarithmic curve super precision guide roller;
[0062] Figure 4 It is a schematic diagram of the guide roller spacing and roller position;
[0063] Figure 5 This is a picture of the outer diameter convexity and profile detection of a φ12×12 roller;
[0064] Figure 6 This is a picture of the outer diameter convexity and profile detection of a φ14×16 roller;
[0065] Figure 7 This is a picture of the outer diameter convexity and profile detection of a φ18×18 roller;
[0066] Figure 8 This is a picture of the outer diameter convexity and profile detection of a φ21×21 roller;
[0067] Fig. 9 This is the convexity and contour detection picture of the φ14×16 outer diameter 2mm from the end face;
[0068] Fig.10 This is a picture of the outer diameter convexity and contour detection of φ14×16, 3mm from the end face. DETAILED DESCRIPTION
[0069] Specific implementation method 1: Combination Figures 1 to 10 To illustrate this implementation, this implementation includes the following steps: Step 1: deriving a logarithmic curve function formula based on the formula and convexity value given in the product diagram;
[0070]
[0071] Where, Y: ordinate of the logarithmic curve;
[0072] X: The distance from the roller center along the roller generatrix direction, x<0.5Lwe;
[0073] V12, V22: Poisson's ratio of roller to material, for bearing steel V = 0.277;
[0074] E1, E2: elastic modulus of roller and raceway materials, for bearing steel, E = 2.2005 × 1011 N / m 2 ;
[0075] Qmax: external force and maximum load on the roller;
[0076] Qmax=5Fr / Z, Fr: actual use load of the bearing, Z: number of rollers;
[0077] Lwe: effective length of roller;
[0078] Step 2: Design and process logarithmic curve guide rollers;
[0079] Step 21: Design the super-precision guide roller generatrix shape grinding drawing according to the derived logarithmic curve formula;
[0080] Step 22: Grind the outer diameter generatrix of the super-precision guide roller according to the grinding drawing;
[0081] Step 3: Roller outer diameter superfinishing test and inspection;
[0082] Step 31: Calculate the distance between guide rollers;
[0083] The guide roller spacing is calculated based on the guide roller diameter, roller diameter, and the pressure angle γ between the roller center line and the line connecting the two guide rollers:
[0084] Step 32: Setting the superfinishing parameters of the roller outer diameter;
[0085] S1: Grinding degree: roller speed is 110-150r / min, amplitude is 1.5-2mm; frequency: 900-1200 times / min; oilstone pressure is 1-3bar (kg / cm 2 );
[0086] S2: Super lapping outer diameter: roller speed 60-80r / min, amplitude 1.5-2mm; frequency: 450-600 times / min; oilstone pressure 0.4-0.6bar (kg / cm 2 );
[0087] Step 33: Busbar convexity and shape detection;
[0088] The profiler is used to test the shape and convexity of the roller generatrix. The test results show that the convexity of the roller generatrix processed by the above method meets the design requirements.
[0089] Specific implementation method 2: Combination Figures 1 to 10 To illustrate this embodiment, when the logarithmic curve function formula in step 1 of this embodiment is applied to process cylindrical rollers in a type 4 roller bearing, the coefficients of the logarithmic curve formula are calculated using a reverse algorithm.
[0090] In this configuration, since the actual use load of the bearing, the Poisson's ratio of the heat-resistant steel material, the elastic modulus and other parameters are not implemented in the product diagram, the coefficients of the logarithmic curve formula are calculated using the reverse algorithm. The other components and connection relationships are the same as those in the first specific implementation method.
[0091] Specific implementation method three: Combination Figures 1 to 10 To illustrate this embodiment, the logarithmic curve formula of the cylindrical roller in the four-type roller bearing of this embodiment is as follows:
[0092] Type 1: The length of the φ14×16 roller is 16mm, the starting point of the convexity measurement is 1mm away from the end face, and the convexity value is: 0.01~0.014mm. The logarithmic curve function formula is derived:
[0093] Y=3.36×10-3Ln1 / [1-(2x / 14.2)2],X≠14.2 / 2
[0094] Type 2: φ18×18 roller length 18mm, convexity measurement starting point 1mm from the end face, convexity value: 0.012~0.016mm, derived logarithmic curve function formula:
[0095] Y=3.78×10-3Ln1 / [1-(2x / 16.2)2],X≠16.2 / 2
[0096] Type 3: φ12×12 roller length 12mm, convexity measurement starting point 0.9mm from end face, convexity value: 0.008~0.012mm, derived logarithmic curve function formula:
[0097] Y=3.06×10-3Ln1 / [1-(2x / 10.4)2],X≠10.4 / 2
[0098] Type 4: φ21×21 roller length 21mm, convexity measurement starting point 1.2mm from the end face, convexity value: 0.017~0.021mm, derived logarithmic curve function formula:
[0099] Y=4.93×10-3Ln1 / [1-(2x / 10.4)2],X≠10.4 / 2.
[0100] The other components and connection relationships are the same as those in the first or second specific implementation mode.
[0101] Specific implementation method four: Combination Figures 1 to 10To illustrate this embodiment, in step 22 of this embodiment, the diameter difference between the corresponding positions of a pair of rollers used in the process of grinding the super-precision guide roller outer diameter busbar is 0.01mm, the grinding surface roughness is Ra0.2mm, and the super-precision surface roughness is Ra0.1mm.
[0102] Such arrangement facilitates improving the grinding accuracy of the roller. The other structures and components are the same as any one of the specific implementation modes 1 to 4.
[0103] Specific implementation method five: Combination Figures 1 to 10 To illustrate this embodiment, the roller guide roller spacing formula in step 31 of this embodiment is: X = {[(Dw+d) / 2×cos(γ)]-Dw}×2;
[0104] Wherein, Dw: maximum diameter of the middle part of the guide roller; d: roller diameter; γ: pressure angle.
[0105] The other components and connection relationships are the same as any one of the specific implementation modes 1 to 3.
[0106] Specific implementation method six: Combination Figures 1 to 10 To illustrate this embodiment, the generatrix convexity requirement of the type 4 roller in step 33 of this embodiment is:
[0107] Type 1 φ14×16: The convexity requirement at 1mm from the end face is 10-14μm;
[0108] Type 2 φ18×18: The convexity requirement at 1mm from the end face is 12-16μm;
[0109] Type 3 φ12×12: The convexity requirement at 0.9mm from the end face is 8-12μm;
[0110] Type 4 φ21×21: The convexity requirement at 1.2mm from the end face is 17~21μm.
[0111] The other components and connection relationships are the same as any one of the specific implementation modes 1 to 6.
[0112] Specific implementation method seven: Combination Figures 1 to 10 To illustrate this embodiment, the convexity detection of the type 4 roller in step 33 of this embodiment is as follows:
[0113] Type 1 φ14×16: The convexity value detection data is 11.5~13μm;
[0114] Type 2 φ18×18: The convexity value detection data is 14~16μm;
[0115] Type 3 φ12×12: The convexity value detection data is 10~11μm;
[0116] Type 4 φ21×21: The convexity value detection data is 17~19μm.
[0117] With this setting, from the above data and Figures 5 to 8 It can be seen from the picture that the convexity value meets the requirements of the design drawings. The other components and connection relationships are the same as any one of the specific implementation methods 1 to 7.
[0118] Since the profiler cannot produce standard graphs of the upper and lower deviations of the roller logarithmic curve according to the formula, the current method relies on the derived logarithmic curve formula, inputting two coordinate points in the X-axis direction, and calculating the Y-axis coordinate value to determine whether the logarithmic curve shape meets the requirements.
[0119] Table 1 Corresponding point detection data
[0120]
[0121]
[0122] Combination Fig. 9 and Fig.10 , and from the above data it can be seen that the outer diameter busbar profile shape is within the standard shape tolerance range.
[0123] The above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit the same. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that the technical solutions described in the aforementioned embodiments may still be modified, or some of the technical features may be replaced by equivalents. However, these modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the embodiments of the present invention.
Claims
1. A design of a large crown logarithmic curve super-precision guide roller and a roller processing method, characterized in that: It includes the following steps: Step 1: Based on the formula and convexity value given in the product diagram, derive the logarithmic curve function formula; Where, y: the ordinate of the logarithmic curve; X: The distance from the roller center along the roller generatrix direction, x<0.5Lwe; V12, V22: Poisson's ratio of roller to material, for bearing steel V = 0.277; E1, E2: elastic modulus of roller and raceway materials, for bearing steel, E = 2.2005 × 1011 N / m 2 ; Qmax: external force and maximum load on the roller; Qmax=5Fr / Z, Fr: actual use load of the bearing, Z: number of rollers; Lwe: effective length of roller; Step 2: Design and process logarithmic curve guide rollers; Step 21: Design the super-precision guide roller generatrix shape grinding drawing according to the derived logarithmic curve formula; Step 22: Grind the outer diameter generatrix of the super-precision guide roller according to the grinding drawing; Step 3: Roller outer diameter superfinishing test and inspection; Step 31: Calculate the distance between guide rollers; The guide roller spacing is calculated based on the guide roller diameter, roller diameter, and the pressure angle γ between the roller center line and the line connecting the two guide rollers: Step 32: Setting the superfinishing parameters of the roller outer diameter; S1: Grinding degree: roller speed is 110-150r / min, amplitude is 1.5-2mm; frequency: 900-1200 times / min; oilstone pressure is 1-3bar (kg / cm 2 ); S2: Super lapping outer diameter: roller speed 60-80r / min, amplitude 1.5-2mm; frequency: 450-600 times / min; oilstone pressure 0.4-0.6bar (kg / cm 2 ); Step 33: Busbar convexity and shape detection; The shape and convexity of the roller generatrix are tested by a profilometer. The test results show that the convexity of the roller generatrix processed by the above method meets the design requirements.
2. The large crown logarithmic curve super-precision guide roller design and roller processing method according to claim 1 is characterized by: When the logarithmic curve function formula in step 1 is applied to the processing of cylindrical rollers in type 4 roller bearings, the coefficients of the logarithmic curve formula are calculated using a reverse algorithm.
3. The large convexity logarithmic curve super-precision guide roller design and roller processing method according to claim 2 is characterized by: The logarithmic curve formula of the cylindrical roller in the four-type roller bearing is as follows: Type 1: The length of the φ14×16 roller is 16mm, the starting point of the convexity measurement is 1mm away from the end face, and the convexity value is: 0.01~0.014mm. The logarithmic curve function formula is derived: Y=3.36×10-3Ln1 / [1-(2x / 14.2)2],X≠14.2 / 2 Type 2: φ18×18 roller length 18mm, convexity measurement starting point 1mm from the end face, convexity value: 0.012~0.016mm, derived logarithmic curve function formula: Y=3.78×10-3Ln1 / [1-(2x / 16.2)2],X≠16.2 / 2 Type 3: φ12×12 roller length 12mm, convexity measurement starting point 0.9mm from end face, convexity value: 0.008~0.012mm, derived logarithmic curve function formula: Y=3.06×10-3Ln1 / [1-(2x / 10.4)2],X≠10.4 / 2 Type 4: φ21×21 roller length 21mm, convexity measurement starting point 1.2mm from the end face, convexity value: 0.017~0.021mm, derived logarithmic curve function formula: Y=4.93×10-3Ln1 / [1-(2x / 10.4)2],X≠10.4 / 2.
4. The large crown logarithmic curve super-precision guide roller design and roller processing method according to claim 3 is characterized by: In step 22, the diameter difference between the corresponding positions of a pair of rollers used in the process of grinding the outer diameter busbar of the super-precision guide roller is 0.01mm, the grinding surface roughness is Ra0.2mm, and the super-precision surface roughness is Ra0.1mm.
5. The design of the large convex logarithmic curve super-precision guide roller and the roller processing method according to claim 4 are characterized in that: The formula for the roller guide roller spacing in step 3 is: X = {[(Dw+d) / 2×cos(γ)]-Dw}×2 Dw: maximum diameter of the middle part of the guide roller; d: roller diameter; γ: pressure angle.
6. The large crown logarithmic curve super-precision guide roller design and roller processing method according to claim 5, characterized in that: The requirements for the generatrix convexity of the type 4 roller in step 3 are: Type 1 φ14×16: The convexity requirement at 1mm from the end face is 10-14μm; Type 2 φ18×18: The convexity requirement at 1mm from the end face is 12-16μm; Type 3 φ12×12: The convexity requirement at 0.9mm from the end face is 8-12μm; Type 4 φ21×21: The convexity requirement at 1.2mm from the end face is 17~21μm.
7. The large crown logarithmic curve super-precision guide roller design and roller processing method according to claim 6 is characterized by: The convexity test of the type 4 roller in step 3 is as follows: Type 1 φ14×16: The convexity value detection data is 11.5~13μm; Type 2 φ18×18: The convexity value detection data is 14~16μm; Type 3 φ12×12: The convexity value detection data is 10~11μm; Type 4 φ21×21: The convexity value detection data is 17~19μm.
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