Internal Gears. No. of teeth (60) Module (1) Others (Ring Gear) Type (Internal Gear) Material (S45C)
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1 ph: (410)8-10 (0) fx: (410)8-142 (0) rfq form: Internal Internal Miter CP Racks & Pinions Racks Helical Spur SI Steel Internal SIR Steel Ring m0. ~ Page 184 m2 ~ Page 186 Catalog Number of KHK Stock The Catalog Number for KHK stock gears is based on the simple formula listed below. Please order KHK gears by specifying the Catalog Numbers. (Example) Internal Geas S I R 1 - No. of teeth () Module (1) Others (Ring Gear) Type (Internal Gear) Material (S4C) Material Type S S4C I Internal Other Information R Ring Screw Worm Gear Pair Gearboxes Other s Feature Icons RoHS Compliant Re-machinable Finished Ground Gear Resin Injection Molded Heat Treated Stainless Copper Alloy Black Oxide coated 181 ph: (410)8-10 (0) fx: (410)8-142 (0) rfq form:
2 ph: (410)8-10 (0) fx: (410)8-142 (0) rfq form: Internal Characteristics KHK stock internal gears are offered in modules 0. to in to 0 teeth. They can be used in many applications including planetary gear drives. Catalog No. SI SIR Module 0. ~ 2~ Material S4C S4C Heat Treatment Tooth Surface Finish Cut Cut Precision JIS B :1998 N8 NOTE 1 N9 Secondary Operations Possible Possible Features A popular type of internal gear; low cost and suitable for many applications. Selection Hints Ring gear large in size / number of tooth. It can be cut to make segment gears and corner racks. Note 1 The accuracy class having a module less than 0.8 corresponds to 'equivalent' as shown in the table. Please select the most suitable products by carefully considering the characteristics of items and contents of the product tables. It is also important to read all applicable notes before the final selection. Established equipment and technology. Custom are also available. Diameter φ700mm maximum, Module 6. maximum, Cutting Stroke 170 mm Gear cutting by CNC Gear Shaper 1. Caution in Selecting the Mating KHK stock internal gears can mate with any spur gears of the same module, however, there are cases of involute, trochoid and trimming interference occurrences, depending on the number of teeth of the mating gear. Various types of interference and their symptoms and causes are tabulated below, also shown, the number of teeth of allowable mating pinions. Interferences and the symptoms TYPE SYMPTOMS CAUSES Involute interference Trochoid interference Trimming interference The tip of the internal gear digs into the root of the pinion. The exiting pinion tooth contacts the internal gear tooth. Pinion can slide in or out axially but cannot move radially. Too few teeth on the pinion. Too little difference in number of teeth of the two gears. Too little difference in number of teeth of the two gears. Allowable Mating Pinions and Number of Teeth Internal Gear Lower limit No. of teeth by Involute interference Allowable Mating Pinions Upper limit No. of teeth by Trochoid interference Upper limit No. of teeth by Trimming interference Caution in Selecting Based on Gear Strength The gear strength values shown in the product pages were computed by assuming a certain application environment. Therefore, they should be used as reference only. We recommend that each user computes his own values by applying the actual usage conditions. The table below contains the assumptions established for these products in order to compute gear strengths. Calculation assumptions for Bending Strength of Item Catalog No. SI SIR Formula NOTE 1 Formula of spur and helical gears on bending strength (JGMA1-01) mating gears 0 Rotation rpm Durability Over 10 7 cycles Impact from motor Uniform load Impact from load Uniform load Direction of load Bidirectional Allowable beam stress at root σ Flim (kgf/mm 2 )Note 2 19 Safety factor S F 1.2 Calculation assumptions for Surface Durability (Except where it is common with bending strength) Formula NOTE 1 Formula of spur and helical gears on surface durability (JGMA2-01) Kinematic viscosity of lubricant cst( ) Gear support Symmetric support by bearings Allowable Hertz stress σ Hlim (kgf/mm 2 ) 49 Safety factor SH 1.1 Note 1 The gear strength formula is based on JGMA (Japanese Gear Manufacturers Association) The units for the rotational speed (rpm) and the stress (kgf/mm 2 ) are adjusted to the units needed in the formula. Note 2 The allowable bending stress at the root σ Flim is calculated from JGMA1-01, and set to 2/ of the value in the consideration of the use of planetary-, idler-, or other gear systems, loaded in both directions. 182 ph: (410)8-10 (0) fx: (410)8-142 (0) rfq form:
3 ph: (410)8-10 (0) fx: (410)8-142 (0) rfq form: Application Hints KHK Technical Information In order to use KHK stock internal gears safely, read the Application Hints carefully before proceeding. Also 1. Caution on Performing Secondary Operations,. Notes on Starting Operations and 4. Other Points to Consider in Applications in the spur gear section should be consulted (Page 2). 1. Point of Caution in Assembling 1KHK stock internal gears are designed to give the proper backlash when assembled using the center distance given by the formula below. The amount of backlash is given in the product table for each gear. a = d 2 - d 1 2 Where a :Center distance d 1 :Pitch diameter of Pinion d 2 :Pitch diameter of Internal Gear To use as a planetary gear drive, the following conditions must be satisfied. Condition on number of teeth in planetary mechanism Condition 1 zc = za + 2zb za + zc Condition 2 N = Integer 1 Condition zb + 2 <(za + zb)sin N za : Sun Gear zb : Planet zc : Internal Gear N :No. of Planet Example of combinations 2 Note that the direction of rotation of the internal gear is different from that of two spur gears in mesh. internal gear No. of planet gears sun gear planet gears Reduction ratio of planetary type Reduction ratio of solar type Reduction ratio of star type Gear Ratio and Direction of Rotation Drive n 1, z 1 Driven n 2, z 2 Types of planetary gear reduction mechanism C (Fixed) C C B B B Driven Internal gear is driven n 2, z 2 Drive Internal gear is drives n 1, z 1 D A (Fixed) A D A D (Fixed) Gear Ratio i = z2 z1 = n1 n2 z :No. of teeth n :Rotational speed (a) Planetary type (b) Solar type (c) Star type Application Examples * The illustration is a design example, not a design for machinery or a device in actual use. Output Input Output Input Reduction Ratio a Sun Gear : a Planetary : a Internal Gear : No. of a Planetary : Reduction Ratio a fixed Sun Gear : a Planetary : a rotating Sun Gear :61 * *Negative dislocation Planetary Gear Mechanism used in a reduction gear * Mechanical Paradox Gear Mechanism used in a large reduction gear 18 ph: (410)8-10 (0) fx: (410)8-142 (0) rfq form:
4 ph: (410)8-10 (0) fx: (410)8-142 (0) rfq form: SI Steel Internal Specifications Precision grade JIS grade N8 (JIS B1702-1: 1998) * JIS grade 4 (JIS B1702: 1976) Gear teeth Standard full depth Module 0. ~ Steel Internal Spur Pressure angle Material S4C Heat treatment Helical Internal Racks CP Racks & Pinions Miter Screw Catalog No. New items indicated in blue letters. SI0.- SI0.- SI0.- SI0.8- SI0.8- SI0.8- SI1- SI1- SI1- SI1.- SI1.- SI1.- SI1.- SI2- SI2- SI2- SI2- SI2.- SI2.- SI2.- SI- SI- [Caution on Characteristics] [Caution on Secondary Operations] Module m0. m0.8 m1 m1. m2 m2. m No. of teeth Internal dia. Pitch dia. Outside dia. Face width Allowable torque (N m) Allowable torque (kgf m) Backlash Shape A C D E Bending strength Surface durability Bending strength Surface durability (mm) Tooth hardness less than 194HB * The precision grade of products with a module of less than 0.8 is equivalent to the value shown in the table ~ ~ ~ ~ ~ ~ ~ ~ ~0. 0.1~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~0.41 Weight (kg) The backlash values shown in the table are the theoretical values for the normal direction for the internal ring in mesh with a 0 tooth SS spur gear. 2 The allowable torque shown in the table are the calculated values according to the assumed usage conditions. Please see page 182 for more details Please check for the involute interference, trochoid interference and trimming interference prior to using internal gears. 1 Please read Caution on Performing Secondary Operations (Page 2) when performing modifications and/or secondary operations for safety concerns. KHK Quick-Mod, the KHK's system for quick modification of KHK stock gears is also available. 2 Avoid performing secondary operations that narrow the tooth width as it affects precision and strength. Gearboxes Worm Gear Pair Other s * For products not categorized in our KHK Stock Gear series, custom gear production services with short lead times is available. For details see page ph: (410)8-10 (0) fx: (410)8-142 (0) rfq form:
5 ph: (410)8-10 (0) fx: (410)8-142 (0) rfq form: Planetary Gear Systems created by using KHK Stock S I P planetary gears are used P.C.D O.D I P S P.C.D 4 planetary gears are used O.D KHK s stock internal and spur gears working together will allow you to create planetary gear devices. In the table below, we introduce examples of planetary gear systems, where gears are assembled without meshing interference. The velocity ratio (*Note 1) in the table are for planetary gear systems created with a stationary internal gear. Used as speed deceleration devices from input by the sun gear and output by the carrier. Selection of the number of teeth also enables you to create various planetary gear devices with different transmission ratios. Stock gears used in the system Allowable transmission torque (kgf m) Total weight Velocity ratio Internal gears ( I ) Planetary gears ( P ) Sun gear ( S ) Sun gear _ Planetary carrier _T2 (kg) Note 1 OD(mm) Catalog No. No. of teeth Catalog No. No. of teeth Quantity P.C.D(mm) Equal angles Catalog No. No. of teeth Bending strength Surface durability Bending strength Surface durability 6 SI0.- SS0.-24A 18 SSS SI0.8- SS0.8-24A 28.8 SSS SI1- SSA SSS SI1.- SSA SS SI2- SSA SS SI2.- SSA SS SI- SSA SS SI0.- SS0.-2A 24 SS0.-16A SI0.8- SS0.8-2A 8.4 SS0.8-16A SI1- SSA SS SI1.- SSA SS SI2- SSA SS SI2.- SSA SS SI0.- SS0.-A 0 SS0.-A SI0.8- SS0.8-A 48 SS0.8-A SI1- SSA SS SI1.- SSA SS SI2- SSA2-1 SS SI0.- SS0.-0A SS0.-A SI0.8- SS0.8-0A SS0.8-A SI1- SSA1-0 SS SI1.- SSA SS SI2- SSA2-0 SS SI2.- SSA SS SI0.- SS0.-A 0 SS0.-A SI0.8- SS0.8-A 48 SS0.8-A SI1- SSA1- SS SI1.- SSA SS SI2- SSA2-1 SS SI2.- SSA2.- 1 SS SI0.- SS0.-A 7. SS0.-A SI0.8- SS0.8-A SS0.8-A SI1- SSA1-7 1 SS SI1.- SSA SS SI2- SSA2-1 SS Calculation of Allowable Transmission Torque One advantage of a planetary gear system is that they share load burdens by grouping multiple planetary gears, enabling high torque capacity transmission. The following formula is the calculation method for (Allowable transmission torque of Sun Gear) and T2 (Allowable transmission torque of Planetary Carrier), shown in the table. =Ts Zp η (kgf m) ( 1 ) T2=Ts Zp u η (kgf m) ( 2 ) Where: Ts Zp u η :Allowable transmission torque for a Sun gear (kgf m) on a meshed pair of sun gear and planetary gear. For a sun gear meshed with a planetary gear, the number of revolutions is set to rpm. :Number of planetary gears used in the system :Velocity ratio :Contact efficiency for torque transmission In consideration of machining accuracy, variation in tooth thickness or other factors on the planetary carrier, the contact efficiency is set to 7%. 18 ph: (410)8-10 (0) fx: (410)8-142 (0) rfq form:
6 ph: (410)8-10 (0) fx: (410)8-142 (0) rfq form: SIR Steel Ring Specifications Precision grade JIS grade N9 (JIS B1702-1: 1998) JIS grade (JIS B1702: 1976) Gear teeth Standard full depth Module 2 2. Internal Ring Spur Pressure angle Material S4C Heat treatment Helical Internal Racks CP Racks & Pinions Catalog No. SIR2-1 SIR2-0 SIR2.-1 SIR2.-0 SIR-1 SIR-1 [Caution on Characteristics] [Caution on Secondary Operations] Module No. of teeth 1 m2 0 m m 1 Internal dia. Pitch dia. Outside dia. Face width Allowable torque (N m) Allowable torque (kgf m) Backlash Shape A C D E Bending strength Surface durability Bending strength Surface durability (mm) Tooth hardness less than 194HB ~0.7 0.~ ~ ~ ~ ~0.4 Weight (kg) The backlash values shown in the table are the theoretical values for the normal direction for the internal ring in mesh with a 0 tooth SS spur gear. 2 The allowable torque shown in the table are the calculated values according to the assumed usage conditions. Please see Page 182 for more details Please check for the involute interference, trochoid interference and trimming interference prior to using internal gears. 1 Please read Caution on Performing Secondary Operations (Page 2) when performing modifications and/or secondary operations for safety concerns. KHK Quick-Mod, the KHK's system for quick modification of KHK stock gears is also available. 2 Avoid performing secondary operations that narrow the tooth width as it affects precision and strength. Other s Worm Gear Pair Gearboxes Screw Miter * For products not categorized in our KHK Stock Gear series, custom gear production services with short lead times is available. For details see page ph: (410)8-10 (0) fx: (410)8-142 (0) rfq form:
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