Tapered roller bearing
11542982 · 2023-01-03
Assignee
Inventors
Cpc classification
F16C2240/54
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C33/6681
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C2240/60
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C33/6666
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C33/36
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C19/547
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C33/64
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C2223/14
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C33/585
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C2240/70
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C2361/61
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C2202/04
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C19/548
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C19/364
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C33/62
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C33/366
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C2204/66
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C2223/16
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
Y02T10/86
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
F16C2240/50
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
International classification
F16C19/36
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F16C33/58
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
Abstract
A tapered roller bearing includes an inner ring having a tapered raceway surface and a large-collar surface on a large-diameter side of the raceway surface, and tapered rollers. Each of the rollers has a large end surface guided by the large-collar surface. When R represents a set curvature radius of the large end surface and R.sub.BASE represents a base curvature radius from a vertex of a cone angle of each of the tapered rollers to the large-collar surface, the base curvature radius R.sub.BASE is 100 mm or less, and a ratio R/R.sub.BASE of the set curvature radius R to the base curvature radius R.sub.BASE is set to 0.90 or less. When R.sub.ACTUAL represents an actual curvature radius of the large end surface of each of the tapered rollers, a ratio R.sub.ACTUAL/R of the actual curvature radius R.sub.ACTUAL to the set curvature radius R exceeds 0.5.
Claims
1. A tapered roller bearing, comprising: an outer ring having a tapered raceway surface on an inner periphery thereof; an inner ring having a tapered raceway surface on an outer periphery thereof, and comprising a large-collar surface on a large-diameter side of the tapered raceway surface; a plurality of tapered rollers arrayed between both of the tapered raceway surfaces so as to be freely rollable; and a cage configured to receive the tapered rollers, wherein each of the tapered rollers has a large end side including an end surface chamfer, a relief portion, and a large end surface located between the end surface chamfer and the relief portion, the large end surface to be held in contact with and guided by the large-collar surface of the inner ring during use of the bearing, wherein when R represents a set curvature radius of the large end surface of each of the tapered rollers, and R.sub.BASE represents a base curvature radius from a vertex of a cone angle of each of the tapered rollers to the large-collar surface of the inner ring, the base curvature radius R.sub.BASE is 100 mm or less, and a ratio R/R.sub.BASE of the set curvature radius R to the base curvature radius R.sub.BASE is set to 0.90 or less, wherein the large end surface of each of the tapered rollers is formed by an annular surface centered on a tapered roller centerline and has two arc-shaped convex cross sections in a vertical cross section of the tapered roller, the two arc-shaped convex cross sections each having an actual curvature radius R.sub.ACTUAL that is smaller than the set curvature radius R in the vertical cross section of the tapered roller, and wherein the actual curvature radius R.sub.ACTUAL is defined as a radius of an arc curve passing through three points of each of the two arc-shaped convex cross sections, which are a connection point between the large end surface and the end surface chamfer, a connection point between the large end surface and the relief portion, and a midpoint between the connection points, in the vertical cross section of the tapered roller, and a ratio R.sub.ACTUAL/R of the actual curvature radius R.sub.ACTUAL to the set curvature radius R is a value exceeding 0.5.
2. The tapered roller bearing according to claim 1, wherein the ratio R/R.sub.BASE of the set curvature radius R to the base curvature radius R.sub.BASE is set within a range of from 0.70 to 0.90.
3. The tapered roller bearing according to claim 1, wherein the large end surface of each of the tapered rollers and the large-collar surface of the inner ring are superfinished surfaces.
4. The tapered roller bearing according to claim 1, wherein the large-collar surface of the inner ring has a relief surface.
5. The tapered roller bearing according to claim 1, wherein the tapered raceway surface of the inner ring and the tapered raceway surface of the outer ring each have a straight shape or a full-crowning shape having an arc, and wherein the tapered rollers each have a rolling surface with a logarithmic crowning shape.
6. The tapered roller bearing according to claim 5, wherein at least one of the inner ring, the outer ring, and the tapered rollers has a nitrogen-enriched layer, and a depth of the nitrogen-enriched layer is 0.2 mm or more.
7. The tapered roller bearing according to claim 5, wherein at least one of the inner ring, the outer ring, and the tapered rollers has a nitrogen-enriched layer, and a grain size number of austenite crystal grain in the nitrogen-enriched layer is larger than No. 10.
8. The tapered roller bearing according to claim 1, wherein the tapered roller bearing is used for a transmission or a differential for an automobile.
Description
BRIEF DESCRIPTION OF DRAWINGS
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EMBODIMENTS OF THE INVENTION
(23) A tapered roller bearing according to a first embodiment of the present invention is described with reference to
(24) As illustrated in
(25) A ground relief portion 12f is formed at a corner portion at which the raceway surface 12a of the inner ring 12 and a large-collar surface 12e of the large-collar portion 12c intersect each other, and a ground relief portion 12g is formed at a corner portion at which the raceway surface 12a and a small-collar surface 12d of the small-collar portion 12b intersect each other. As described above, the ground relief portions 12f and 12g are formed on the raceway surface 12a of the inner ring 12, and hence an effective raceway surface width LG (see
(26) The rolling surface 16 having a tapered shape is formed on an outer periphery of the tapered roller 14. A small end surface 14a is formed on a small-diameter side of the tapered roller 14, and a large end surface 14b is formed on a large-diameter side of the tapered roller 14. The large end surface 14b of the tapered roller 14 is received by the large-collar surface 12e of the inner ring 12. During use of the tapered roller bearing 1, the large end surface 14b is held in contact with and guided by the large-collar surface 12e of the inner ring 12. As illustrated in
(27) A gap S between the small end surface 14a of the tapered roller 14 and the small-collar surface 12d illustrated in
(28) The outline of the tapered roller bearing 1 according to this embodiment is described above. Next, characteristic configurations of the tapered roller bearing 1 according to this embodiment are described with reference to
(29) As illustrated in
(30)
[Expression 1]
h=1.64×10.sup.−3(η.sub.oū).sup.0.74R.sub.x.sup.0.41w.sup.−0.074 (1) R.sub.x: Equivalent curvature radius in a direction of motion ū: Average speed w: Load η.sub.o: Viscosity at normal pressure
(31) In terms of the optimum value of the oil film thickness, as described in Patent Literature 1, the ratio R/R.sub.BASE is in a range of from 0.75 to 0.87. However, when an actual curvature radius R.sub.ACTUAL after processing is small with respect to the optimum curvature radius of the large end surface 14b of the tapered roller 14, that is, the set curvature radius R, collar surface pressure larger than assumed is induced in a contact portion between the large end surface 14b of the tapered roller 14 and the large-collar surface 12e of the inner ring 12. In particular, under circumstances in which reduction in bearing size has been demanded, the problem described above in the tapered roller bearing with R.sub.BASE of 100 mm or less, which belongs to a small class, is an industrially important problem, and the present invention focuses on such a problem.
(32) In view of this, a relationship between the optimum curvature radius of the large end surface 14b of the tapered roller 14, that is, the set curvature radius R and the actual curvature radius R.sub.ACTUAL after processing was studied. The curvature radius R of the large end surface 14b of the tapered roller 14 shown in
(33) However, in actuality, as illustrated in
(34) The set curvature radius R and the actual curvature radius R.sub.ACTUAL are obtained as follows. The curvature radius R.sub.1564 of the entire large end surface 14b of
(35) Next, description is made of an influence due to a difference between the set curvature radius R and the actual curvature radius R.sub.ACTUAL. The large end surface 14b of the tapered roller 14 and the large-collar surface 12e of the inner ring 12 are brought into contact with each other only at a portion having the curvature radius R.sub.152 on the one side or the curvature radius R.sub.364 on the another side. Thus, in actuality, when the large end surface 14b and the large-collar surface 12e are brought into contact with each other with the actual curvature radius R.sub.ACTUAL (R.sub.152, R.sub.364) smaller than the set curvature radius R (R.sub.1564). Accordingly, contact surface pressure between the large end surface 14b and the large-collar surface 12e increases. The above-mentioned problem was found through verification of the actual grinding.
(36) As a result of extensive study about the relationship between the set curvature radius R and the actual curvature radius R.sub.ACTUAL after processing, the following analysis and novel idea have led to characteristic configurations of this embodiment. (1) In the tapered roller bearing with R.sub.BASE of 100 mm or less, which belongs to a small class, a tapered roller used therein becomes inevitably smaller, and the set curvature radius R of the large end surface of the tapered roller is small, with the result that collar portion surface pressure is liable to increase. In addition, a processing surface is small, and hence the tapered roller bearing is liable to be influenced by a processing condition as compared with a large tapered roller. It is found that the collar portion surface pressure is directly influenced by a ratio of the actual curvature radius R.sub.ACTUAL after processing of the large end surface of the tapered roller to the set curvature radius R. (2) In the tapered roller bearing with R.sub.BASE of 100 mm or less, which belongs to a small class, the tapered roller is small, and hence the problem of skew is alleviated. (3) As a result, the following novel idea was obtained. Specifically, it is indispensable in the tapered roller bearing with R.sub.BASE of 100 mm or less, which belongs to a small class, to properly set both a range of the ratio R/R.sub.BASE of the set curvature radius R to the base curvature radius R.sub.BASE from the vertex of the cone angle of the tapered roller to the large-collar surface of the inner ring and a range of the ratio R.sub.ACTUAL/R of the actual curvature radius R.sub.ACTUAL after processing to the set curvature radius R.
(37) Based on the idea described above, in order to find the proper ranges of both the ratio R/R.sub.BASE and the ratio R.sub.ACTUAL/R, the functional characteristics of tapered roller bearings with R.sub.BASE of 100 mm, 80 mm, and 60 mm were studied. The study condition is as follows.
(38) <Study Condition>
(39) [Bearing Specifications] ⋅R.sub.BASE=100 mm: model number 4T-30302 (having an inner diameter of φ15 mm, an outer diameter of φ42 mm, and a width of 14.25 mm) ⋅R.sub.BASE=80 mm: model number 4T-30203 (having an inner diameter of φ17 mm, an outer diameter φ40 mm, and a width of 13.25 mm) ⋅R.sub.BASE=60 mm: model number 4T-30305D (having an inner diameter of φ25 mm, an outer diameter of φ62 mm, and a width of 18.25 mm) [Lubricating oil]: turbine oil having ISO viscosity grade of VG32
(40) In the study of the functional characteristics described above, the lubricating oil was the turbine oil having ISO viscosity grade of VG32 often used for a transmission. The viscosity of VG32 at a temperature of 120° C. was 7.7 cSt (=7.7 mm.sup.2/s), and the oil film thickness “h” was obtained by Expression 1. The oil film thickness “h” was equal to the oil film thickness “t” of
(41) When the contact surface pressure increases under the environment in which the oil film is insufficiently provided as described above, contact between the large end surface 14b of the tapered roller 14 and the large-collar surface 12e is unstable, with the result that the oil film parameter decreases. When the oil film parameter is smaller than 1, boundary lubrication occurs, which leads to beginning of metal-to-metal contact, and hence a risk of sharp temperature rise may increase. Thus, the collar portion surface pressure and the oil film parameter are set as the evaluation items. Here, the oil film parameter is defined by a ratio Λ (=h/σ) of the oil film thickness “h” determined by the elastohydrodynamic lubrication theory to a composite roughness σ of a root mean square roughness of the large end surface 14b of the tapered roller 14 and a root mean square roughness of the large-collar surface 12e of the inner ring 12.
(42) The result of study of the functional characteristics is shown in
(43) From the result of
(44) Further, it is verified that the tapered roller bearing with R.sub.BASE of 100 mm or less, which belongs to a small class, is practicable when the ratio R/R.sub.BASE is in a range of from 0.70 to 0.90, and the ratio R.sub.ACTUAL/R exceeds 0.5. This verification result has an important implication in finding that, in the tapered roller bearing with R.sub.BASE of 100 mm or less, which belongs to a small class, the degree of decrease in oil film formation is dull even when the ratio R/R.sub.BASE is lower than 0.7, but the lower limit of the ratio R/R.sub.BASE under a condition that the actual curvature radius R.sub.ACTUAL of the large end surface 14b of the tapered roller 14 becomes smaller by the ratio R.sub.ACTUAL/R is 0.7.
(45) From the result of
(46) Further, surface textures of the large end surface 14b of the tapered roller 14 and the large-collar surface 12e of the inner ring 12 were studied. As a result, the oil film parameter depends on the composite roughness of the large end surface 14b of the tapered roller 14 and the large-collar surface 12e of the inner ring 12. Thus, such a conclusion is drawn that it is desired that the large end surface 14b and the large-collar surface 12e be superfinished surfaces. Therefore, in this embodiment, the large end surface 14b and the large-collar surface 12e are the superfinished surfaces. Surface roughness of the large end surface 14b of the tapered roller 14 is equal to or smaller than 0.10 μmRa, and surface roughness of the large-collar surface 12e of the inner ring 12 is equal to or smaller than 0.063 μmRa. The superfinished surfaces described in Claims have the surface roughness described above.
(47) Next, an advantageous configuration of the tapered roller bearing 1 according to this embodiment is described with reference to
(48) As illustrated in
(49) The nitrogen-enriched layer 12B may be formed only on the inner ring 12, the nitrogen-enriched layer 13B may be formed only on the outer ring 13, or the nitrogen-enriched layer 14B may be formed only on the tapered roller 14. Alternatively, the nitrogen-enriched layers may be formed on two of the inner ring 12, the outer ring 13, and the tapered roller 14.
(50) In the tapered roller 14, the nitrogen-enriched layer 14B is formed on the surface, and the rolling surface 16 has crowning. As illustrated in
(51) In a manufacturing process of the tapered roller 14, when treatment for forming the nitrogen-enriched layer 14B (carbonitriding treatment) is to be performed, the tapered roller 14 has no crowning, and the outer shape of the tapered roller 14 is a surface 14E before finishing, which is indicated by the broken line of
(52) Next, the details of the nitrogen-enriched layers are described with reference to
(53) [Thickness of Nitrogen-Enriched Layer]
(54) The depth of the nitrogen-enriched layer 14B in the tapered roller 14 illustrated in
(55) For example, in the example illustrated in
(56) Also in the nitrogen-enriched layers 12B and 13B of the inner ring 12 and the outer ring 13 illustrated in
(57) [Crystal Structure of Nitrogen-Enriched Layer]
(58)
(59) A measurement method for the characteristic of the nitrogen-enriched layer is described.
(60) [Measurement Method for Distance from Outermost Surface to Bottom of Nitrogen-Dnriched Layer]
(61) For each of the inner ring 12 and the outer ring 13, hardness distribution is measured in the cross section, which is measured in the above-mentioned measurement method for a nitrogen concentration, from the surface in a depth direction. A vickers hardness tester can be used as a measurement device. For each of the inner ring 12 and the outer ring 13, hardness measurement is performed at a plurality of measurement points arranged in the depth direction, for example, measurement points arranged at 0.5 mm intervals in the surface direction. Then, a region having a vickers hardness of HV450 or more is determined as the nitrogen-enriched layer.
(62) For the tapered roller 14, hardness distribution in the depth direction is measured as described above in the cross section at the first measurement point 31 illustrated in
(63) [Measurement Method for Grain Size Number]
(64) As a measurement method for the grain diameter of the prior austenite crystal grain, the method defined in JIS standard G0551:2013 is used. A cross section to be measured is a cross section measured in the measurement method for the distance to the bottom of the nitrogen-enriched layer.
(65) Next, the details of a crowning shape are described with reference to
(66)
(67)
(68) The load Q, the length L of the effective contact portion in the generating-line direction, and the equivalent elastic modulus E′ are given as the design conditions, and the length “a” from the origin to the end portion of the effective contact portion is a value determined in accordance with the position of the origin.
(69) In Expression 2 given above, z(y) indicates the drop amount of the crowning 22A at the position “y” of the tapered roller 14 in the generating-line direction, and the coordinates of the starting point O1 of the crowning 22A are (a−K.sub.2a,0). Thus, a range of “y” in Expression 2 is y>(a−K.sub.2a). Further, the region from the origin O to the starting point O1 of the crowning 22A is a center portion (straight portion) having no crowning, and hence, when a relationship of 0≤y≤(a−K.sub.2a) holds, a relationship of z(y)=0 is satisfied.
(70) The design parameter K.sub.1 indicates the factor of the load Q, and geometrically indicates the degree of the curvature of the crowning 22A. The design parameter K.sub.2 indicates a ratio of a length ym of the crowning 22A in the generating-line direction to the length “a” in the generating-line direction from the origin to the end portion of the effective contact portion (K.sub.2=ym/a). The design parameter z.sub.m indicates the drop amount at the end portion of the effective sacontact portion, that is, a maximum drop amount of the crowning 22A.
(71) As an optimization method for the design parameters K.sub.1, K.sub.2, and z.sub.m, various optimization methods can be employed, and, for example, direct search methods such as the Rosenbrock method can be employed. Here, damage that occurs at the surface in the rolling surface of the tapered roller depends on surface pressure. Thus, the objective function of the optimization is set to the surface pressure, thereby being capable of obtaining crowning capable of preventing oil film shortage on the contact surface in an extremely severe lubrication state.
(72) As illustrated in
(73) The crownings 24A, 22A of the crowning portions 16b, 16c of the tapered roller 14 in this embodiment are the logarithmic crowning determined by Expression 2 given above. However, the expression for determination of the logarithmic crowning is not limited to Expression 2 given above, and the logarithmic curve may be determined with use of another logarithmic crowning expression.
(74) The crowning shape of the tapered roller 14 can be measured by any method. For example, the crowning shape of the tapered roller 14 may be measured by a surface texture measuring machine.
(75) Next, a method of manufacturing the tapered roller bearing is described.
(76) As illustrated in
(77) After that, the heat treatment step S200 is performed. In this step, predetermined heat treatment is performed to secure the characteristics of the above-mentioned bearing components. For example, in order to form the nitrogen-enriched layer 12B, 13B, or 14B on at least one of the inner ring 12, the outer ring 13, and the tapered roller 14, carbonitriding treatment or nitriding treatment, quenching treatment, tempering treatment, and the like are performed. An example of the heat treatment pattern in this step S200 is illustrated in
(78) According to the above-mentioned heat treatment, as compared with a case in which, subsequent to ordinary quenching, namely, carbonitriding treatment, and quenching is performed once as it is, fracture resistance can be increased while a surface layer portion of the bearing component is subjected to carbonitriding, and a ratio of dimensional change over time can be reduced. According to the above-mentioned heat treatment step S200, in the nitrogen-enriched layer 12B, 13B, or 14B being the quenched structure, it is possible to obtain the microstructure as illustrated in
(79) Next, a processing step S300 is performed. In this step, finishing (for example, grinding and superfinishing) is performed so that each bearing component has a final shape. As illustrated in
(80) Finally, an assembly step S400 is performed. In this step, the bearing components prepared as described above are assembled, thereby obtaining the tapered roller bearing 1 illustrated in
(81) In the tapered roller bearing according to this embodiment, logarithmic crowning is formed on the rolling surface of the tapered roller, and the raceway surface of the inner ring and the raceway surface of the outer ring are each formed into a straight shape or a full-crowning shape having a gentle single arc. The shape of the rolling surface of the inner ring in the generating-line direction is specifically described with reference to
(82) As illustrated in
(83) As illustrated in
(84) In the above, the shape of the raceway surface 12a of the inner ring 12 in the generating-line direction is described. A shape of the raceway surface 13a of the outer ring 13 in the generating-line direction is similar to the shape of the raceway surface 12a of the inner ring 12 in the generating-line direction, and hence description thereof is omitted.
(85) As the advantageous configuration of the tapered roller bearing according to this embodiment, description is made of the case in which the inner ring 12, the outer ring 13, and the tapered rollers 14 are each made of high-carbon chromium bearing steel (for example, SUJ2 material), and at least one of the bearing components among the inner ring 12, the outer ring 13, and the tapered rollers 14 is subjected to the heat treatment for forming the nitrogen-enriched layer, but the present invention is not limited thereto. The inner ring 12 and the outer ring 13 may be made of carburized steel such as chromium steel (for example, SCR435) or chromium-molybdenum steel (for example, SCM435). Carburizing, quenching, and tempering applied conventionally may be applied as the heat treatment.
(86) Finally, as suitable application of the tapered roller bearing according to the embodiments, the outline of a transmission for an automobile and the outline of a differential for an automobile are described with reference to
(87)
(88) Next, a differential is described with reference to
(89) The link gear 103 is coupled to a differential gear case 105, and the differential gear case 105 is supported by a pair of tapered roller bearings 1.sub.7 and 1.sub.8 so as to be freely rotatable with respect to the differential case 100. Inside the differential gear case 105, a pair of pinion gears 106 and a pair of side gears 107, which mesh with the pair of pinion gears 106, are arranged. The pinion gears 106 are mounted to a pinion shaft 108, and the side gears 107 are mounted to the differential gear case 105. Right and left drive shafts (not shown) are coupled (for example, serration-coupled) to inner diameter portions of the side gears 107. The tapered roller bearing according to the embodiments of the present invention corresponds to each of the above-mentioned tapered roller bearings 1.sub.5 to 1.sub.8. Drive torque is transmitted via the drive pinion gear 104, the link gear 103, the differential gear case 105, the pinion gears 106, the side gears 107, and the drive shafts in the stated order.
(90) The present invention is not limited to the above-mentioned embodiment. As a matter of course, the present invention may be carried out in various modes without departing from the spirit of the present invention. The scope of the present invention is defined in claims, and encompasses equivalents described in claims and all changes within the scope of claims.
DESCRIPTION OF REFERENCE SIGNS
(91) 1 tapered roller bearing
(92) 12 inner ring
(93) 12B nitrogen-enriched layer
(94) 12a raceway surface
(95) 12b small-collar portion
(96) 12c large-collar portion
(97) 12d small-collar surface
(98) 12e large-collar surface
(99) 12h relief surface
(100) 13 outer ring
(101) 13B nitrogen-enriched layer
(102) 13a raceway surface
(103) 14 tapered roller
(104) 14B nitrogen-enriched layer
(105) 14a small end surface
(106) 14b large end surface
(107) 15 cage
(108) 16 rolling surface
(109) 16a straight portion
(110) 16b crowning portion
(111) 16c crowning portion
(112) 22A crowning
(113) 24A crowning
(114) LG effective raceway surface width
(115) LW effective rolling surface width
(116) Ov vertex
(117) R set curvature radius
(118) R.sub.ACTUAL actual curvature radius
(119) R.sub.BASE base curvature radius
(120) T1 depth of nitrogen-enriched layer
(121) T2 depth of nitrogen-enriched layer
(122) T3 depth of nitrogen-enriched layer