Industrial robot RV-C type reducer
By performing positive equidistance-positive displacement combined shaping and adjusting the eccentric shaft phase difference on the cycloid wheel, the thermal expansion seizure problem of domestic RV reducers was solved, the accuracy and life were improved, and interchangeability with Japan's Nabo RV-C reducers was achieved.
Patent Information
- Application Number
- CN202010571024.8
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2020-06-22
- Publication Date
- 2025-09-30
- Estimated Expiration
- 2040-06-22
AI Technical Summary
There is a gap between domestic RV reducers and Japanese Nabtesco reducers in terms of accuracy retention, life, heat generation and noise. This is mainly due to the lack of research on the reasonable meshing clearance and thermal expansion of the cycloid wheel, which makes the meshing parts easily stuck due to expansion due to excessive temperature.
Adopting the thermal expansion theory and anti-backlash cycloid technology, by performing positive equidistance-positive displacement combined shaping on the cycloid wheel, setting reasonable radial clearance and side clearance, and adjusting the phase difference of the eccentric shaft, it is ensured that the thermal expansion of the cycloid wheel under rated torque does not cause interference friction, and adopting a reasonable relationship between radial clearance and thermal expansion to eliminate backlash.
The cycloid wheel does not get stuck during thermal expansion, which improves the adaptability and practicality of the reducer. It can be interchangeable with Japan's Nabo RV-C reducer, reducing manufacturing difficulty and cost.
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Figure CN111765210B_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the technical field of industrial robot reducers, and in particular to a hollow industrial robot RV-C type reducer that uses thermal expansion theory to solve the defects of heat generation and short life in the background technology. Background Art
[0002] On September 18, 2019, Professor Zhang Yueming, chief scientist of Beijing Zhitong Technology, said: The biggest gap between domestic reducers and Japanese Nabtesco reducers lies in accuracy retention and lifespan.
[0003] On November 23, 2019, the inventor of No. 2019111606018 of Ningbo Zhongda Lide Company stated: The invention "Cycloidal Pinwheel Transmission Structure" is used to solve the problem of unsatisfactory RV transmission accuracy in the current domestic stage.
[0004] On December 17, 2019, Yigong Technology, a source of innovative driving technology, pointed out in its promotion of the localization of RV reducers: "Despite several years of development, domestic RV reducers still face pain points: high heat generation, high noise, insufficient rigidity, and insufficient precision retention."
[0005] It shows that by the end of 2019, there is still a large gap between domestic RV reducers and Japan's Nabo. The reasons are analyzed as follows:
[0006] (1) Domestic researchers lack theoretical research on the reasonable meshing clearance of cycloid gear modification
[0007] The Gear Transmission Design Manual, page 804, states: "The reasonable modification of the cycloid gear tooth profile should meet the following requirements:
[0008] a. A reasonable meshing backlash and radial clearance can be formed to compensate for actual manufacturing and installation errors while ensuring a sufficient number of simultaneously meshing teeth; b. The working portion of the tooth profile should be as close to the conjugate tooth profile as possible to ensure smooth transmission; c. The grinding process is simple.
[0009] Both theory and practice have proved that the above-mentioned ideal tooth shape can be obtained by adopting the positive equal distance-positive shift optimization combined modification method.
[0010] When grinding a cycloidal wheel with positive offset profile modification, the arc radius of the grinding wheel (equivalent to the pin tooth profile radius) is increased from the standard rz to rz + Δrz; positive offset profile modification moves the grinding wheel a small distance ΔRz away from the center of the worktable. This means that during grinding, the radius of the pin tooth center circle Rz is increased to Rz + ΔRz.
[0011] The literature search shows that there is no research on the theoretical values of reasonable side clearance and radial clearance of cycloid gear modification in China.
[0012] (2) Physics explains that reasonable meshing clearance is closely related to the thermal expansion of the cycloid gear
[0013] North China University of Technology "RV reducer thermal-structural coupling analysis": "Domestic research on RV reducer thermal-structural coupling
[0014] The reducer is grease lubricated, which has poor heat dissipation conditions. Various conditions during operation are closely related to heat.
[0015] The impact of temperature on the volume of parts to prevent expansion and jamming due to excessive temperature. (2016.06)
[0016] Researchers have done little research on the thermal-structural coupling of RV reducers. Various operating conditions are closely related to heat, and the cycloid gear is the main source of heat. If the gap is too small, it will inevitably get stuck due to excessive temperature. The following is an analysis of the thermal expansion of the cycloid gear:
[0017] Physics explains that solids expand in the same way in all directions. Therefore, the linear expansion law of a solid in one direction can be used to characterize its expansion. That is, the linear expansion coefficient αt = (d- d0) / (d0Δt) = Ω / (d0·Δt), so:
[0018] Thermal expansion Ω=(αt·Δt)d0;
[0019] (3) Domestic researchers have determined that the eccentric axis phase difference ΔΨ=180°, so only negative shift-negative equal distance modification can be used
[0020] It was found that domestic researchers determined that the phase difference of the eccentric shaft of the RV reducer is 180 degrees. The following table is a list of more than 80 examples in the literature. Small part
[0021]
[0022] However, theoretical calculations have shown that the negative offset-negative offset combination has a fatal characteristic: the side clearance ΔC is too small, which not only fails to compensate for thermal expansion and manufacturing errors caused by temperature rise, but also cannot prevent seizure due to temperature rise and expansion. Examples are as follows:
[0023] (Example 1) Dalian Jiaotong University, "Research on Meshing Stiffness of Cycloidal Gears in RV Transmissions," April 2017: RZ = 77, e = 1.50, Za = 39, K1 = 0.7792, Δrz = - 0.022, ΔRZ = - 0.027: Backlash Δc = 0.003 (mm) (too small);
[0024] (Example 2) Harbin Institute of Technology's "Design Research on Small and Medium-Power Shell-Fixed RV-E Reducers" RV-450E: RZ=155, e=3.0, Za=37, K1=0.7355, Δrz=-0.015, ΔRZ=-0.03, side clearance Δc=0.007 (mm) (too small);
[0025] (Example 3) Professor × of Tongji University, "Research on Gear Clearance of High-Precision RV Reducer Based on..." RV-40E parameters: RZ=64,
[0026] e=1.30, Za=39; K1= 0.8125, Δrz= - 0.002, ΔRZ= - 0.008, side clearance Δc= 0.003 (mm) (too small). Summary of the Invention
[0027] The present invention aims to solve the defects of the background technology such as heat generation and short life by using thermal expansion theory and anti-backlash cycloid, and to provide a hollow RV-C type reducer for industrial robots with good dynamic characteristics and interchangeable with Japanese Nabtesco products.
[0028] In order to solve the above technical problems, the present invention adopts the following technical features:
[0029] Provided is an RV-C type reducer for an industrial robot, comprising a pinion housing and a two-stage reduction component disposed therein: the first stage comprises a driving wheel, a duplex gear, and a planetary gear on a servo motor; the duplex gear comprises a driven wheel and a sun gear, the driven wheel meshing with the driving wheel, the sun gear meshing with the planetary gear, the planetary gear connected to the eccentric shaft extension end of the second-stage reduction component; a wire tube is provided in the inner hole of the duplex gear; the two sides of the duplex gear are supported by first and second bearings at corresponding positions on a right rigid disk and a robot body, respectively; the second stage comprises two evenly distributed eccentric shafts, a cycloid wheel, a needle, a left rigid disk, and a right rigid disk; the cycloid wheel comprises a first cycloid wheel and a second cycloid wheel; eccentric bearings for supporting the cycloid wheel are provided on the two eccentric sections of the eccentric shaft; the shaft extensions on both sides of the eccentric section are supported in peripheral holes of the left and right rigid disks, respectively, by tapered roller bearings; the left and right rigid disks are supported on both sides of the pinion housing by main bearings, respectively; the flange on the left rigid disk passes through the corresponding hole on the cycloid wheel and is connected to the right rigid disk to form a rigid body; after the cycloid wheel is shaped:
[0030] (A) Create a reasonable radial clearance Δj between the pin and the cycloid tooth groove to ensure that under rated torque, the thermal expansion of the cycloid wheel does not cause the meshing parts to be in interference friction. Therefore, the reasonable radial clearance Δj must be related to the thermal expansion Ω:
[0031] Radial clearance Δj = (0.18~0.5)Ω (mm),
[0032] Thermal expansion Ω=(αt·Δt)d0,
[0033] Where: temperature rise Δt = 45℃, d0 is the average diameter of the cycloid gear tooth top circle and tooth root circle, if the thermal expansion coefficient of the cycloid gear bearing steel is α t =1.379·10 -5 (1 / ℃),
[0034] Then the thermal expansion is: Ω=(αt·Δt)d0=0.00062·d0,
[0035] The relationship between radial clearance and thermal expansion is: Δj = (0.18~0.5)Ω (mm);
[0036] (B) The cycloid wheel adopts positive equidistance-positive displacement combination shaping, and its shaping amount depends on the radial gap Δj:
[0037] Positive isometric modification amount Δr z =Δj / (1-K), positive displacement correction amount ΔR z =KΔr z , Δr z -ΔR z =Δj, where:
[0038] K=(1-K1 2 ) 0.5 , short amplitude coefficient K1=e Z b / Rz, e is the eccentricity, Z b is the number of needle teeth, R z is the radius of the center circle of the needle teeth,
[0039] (C) The positive equidistant shaping amount Δrz and the positive displacement shaping amount ΔRz determine the size of the side clearance Δc, which represents the size of the backlash. According to the anti-backlash gear principle, the first eccentric section of the eccentric shaft of the RV reducer deviates by a small angle θ, so that one of the cycloid wheels approaches the needle pin clockwise; the second eccentric section deviates by a small angle θ in the opposite direction, so that the other cycloid wheel approaches the needle pin counterclockwise. At this time, the phase difference between the two eccentric sections of the eccentric shaft of the RV reducer is ΔΨ=180°-2θ or ΔΨ<179°, so as to reduce or eliminate the backlash.
[0040] In a preferred embodiment of the present invention, the radial gap Δj between the needle pin and the cycloid tooth groove is (0.183-0.4)Ω.
[0041] In a preferred embodiment of the present invention, the radial gap Δj between the needle pin and the cycloid tooth groove is: 0.186Ω≤Δj≤0.3Ω.
[0042] In a preferred embodiment of the present invention, the side clearance Δc values of various RV models are calculated based on the following formula:
[0043] According to the principle of anti-backlash gear, the phase difference between the two eccentric sections of the eccentric shaft is ΔΨ=177.7°~178.9°.
[0044] In a preferred embodiment of the present invention, corresponding to the size of the side clearance Δc values of various RV models, according to the principle of anti-backlash gears, the phase difference between the two eccentric sections of the eccentric shaft is: 177.8°≤ΔΨ≤178.8°.
[0045] The beneficial effects of the present invention are as follows: after the cycloid wheel is reshaped, a reasonable gap (radial gap Δj and side gap Δc) is generated between the needle pin and the cycloid wheel tooth groove, so that when the reducer is under rated load and the cycloid wheel thermally expands, the meshing parts will not be stuck, and high manufacturing precision is not required. It can also be interchangeable with Japan Nabo RV-C type reducer, thereby improving the adaptability and practicality of the product. BRIEF DESCRIPTION OF THE DRAWINGS
[0046] In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the following briefly introduces the drawings required for describing the embodiments. Obviously, the drawings described below are only some embodiments of the present invention. Those skilled in the art can also derive other drawings based on these drawings without inventive work, among which:
[0047] Figure 1 It is a schematic cross-sectional view of a preferred embodiment of the present invention;
[0048] In the figure: 1. Pinion housing, 2. Main bearing, 3. First cycloidal gear, 4. Second cycloidal gear, 5. Right rigid plate, 6. Driven gear, 7. Sun gear, 8. Duplex gear, 9. Second bearing, 10. First bearing, 11. Eccentric shaft, 12. Planetary gears, 13. Driving gear, 14. Tapered roller bearing, 15. Eccentric bearing, 16. Left rigid plate, 17. Pin. DETAILED DESCRIPTION
[0049] The following is a clear and complete description of the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative efforts are within the scope of protection of the present invention.
[0050] See also Figure 1, an industrial robot RV-C type reducer, including a pinion housing 1 and a two-stage reduction component placed therein: the first-stage reduction component includes a driving wheel 13 on the servo motor, a double gear 8 and a planetary gear 12, the double gear 8 includes a driven wheel 6 and a sun gear 7, the driven wheel 6 is meshed with the driving wheel 13, the sun gear 7 is meshed with the planetary gear 12, the planetary gear 12 is connected to the shaft extension end of the eccentric shaft 11 of the second-stage reduction component, a wire tube is set in the inner hole of the double gear 8, and the two sides of the double gear 8 are supported by a first bearing 10 and a second bearing 9 on the right rigid disk 5 and the corresponding position of the robot body respectively; the second-stage reduction The speed component includes 2 to 3 evenly distributed eccentric shafts 11, a cycloidal wheel, a needle pin 17, a left rigid disk 16 and a right rigid disk 5. The cycloidal wheel includes a first cycloidal wheel 3 and a second cycloidal wheel 4. The two eccentric sections of the eccentric shaft 3 are provided with eccentric shaft bearings 15 for supporting the cycloidal wheel. The shaft extensions on both sides of the eccentric section are supported by tapered roller bearings 14 in the peripheral holes of the left rigid disk 16 and the right rigid disk 5 respectively. The left rigid disk 16 and the right rigid disk 5 are supported by main bearings 2 on the inner holes on both sides of the needle gear housing 1 respectively. The evenly distributed flanges on the left rigid disk 16 pass through the corresponding holes on the cycloidal wheel and are connected to the right rigid disk 5 with screws and positioning pins to form a rigid body.
[0051] The cycloid gear of an industrial robot RV-C type reducer must be reshaped:
[0052] (A) When reshaping the cycloid wheel, a reasonable radial clearance Δj needs to be created between the pin and the cycloid tooth groove to ensure that under rated torque, the thermal expansion of the cycloid wheel does not cause interference friction of the meshing parts. Therefore, the reasonable radial clearance Δj must be related to the thermal expansion Ω.
[0053] Physics explains that solids expand in the same way in all directions, and the expansion of solids can be characterized by the linear expansion law in one direction: αt = (d- d0) / (d0Δt) = Ω / (d0·Δt), so the thermal expansion Ω = (αt·Δt)d0,
[0054] The relationship between radial clearance and thermal expansion is: Δj = (0.18~0.5)Ω (mm),
[0055] If the thermal expansion coefficient of bearing steel is αt=1.379·10 -5 (1 / ℃),
[0056] Then the thermal expansion Ω=(αt·Δt})d0= 0.00062·d0 (mm).
[0057] Where, d0 is the average diameter of the cycloid gear tooth top circle and tooth root circle, and the temperature rise Δt is 45°C.
[0058] Although these data may change, they can all be measured using current technical means.
[0059] Furthermore, the radial clearance Δj between the needle pin 4 and the cycloid gear groove is (0.183-0.4) Ω mm.
[0060] Furthermore, the radial clearance Δj between the needle pin 4 and the cycloid wheel tooth groove is: 0.186Ω≤Δj ≤0.3Ωmm.
[0061] (B) The cycloid wheel adopts positive equidistance-positive displacement combination shaping, and its shaping amount depends on the radial gap Δj:
[0062] Δr z =Δj / (1-K), ΔR z =K Δr z And Δrz - ΔRz = Δj (mm), where:
[0063] K=(1-K1 2 ) 0.5 , short amplitude coefficient K1=eZ b / Rz, e is the eccentricity, Z b is the number of needle teeth, and Rz is the radius of the center circle of the needle teeth.
[0064] The force between the gear teeth and the pins in the positive equidistance-positive displacement modification is 49% of that in the negative equidistance-negative displacement modification; the bearing capacity in the positive equidistance-positive displacement modification is 1.71 times that of the negative equidistance-negative displacement modification. ("Pin Cycloidal Transmission Tooth Profile Optimization and Dynamic Return Error Analysis")
[0065] in,
[0066] Equidistant shaping: the grinding wheel grinding radius increases to positive equidistant; conversely, it decreases to negative equidistant;
[0067] Shifting and shaping: When the grinding wheel moves away from the center of the worktable, it is a positive shift; otherwise, it moves forward, which is a negative shift.
[0068] (C) The positive equidistant shaping amount Δrz and the positive displacement shaping amount ΔRz determine the value of the side clearance Δc, which represents the size of the backlash. To eliminate the backlash, according to the anti-backlash gear principle, the phase difference between the two eccentric sections of the eccentric shaft of the RV reducer cannot be equal to 180°: the first eccentric section deviates by a small angle θ, so that the cycloid wheel approaches the needle pin clockwise; the second eccentric section deviates by a small angle θ in the opposite direction, so that the other cycloid wheel approaches the needle pin counterclockwise. The phase difference between the two eccentric sections ΔΨ=180°-2θ or ΔΨ<179° can reduce or eliminate the backlash.
[0069] The backlash Δc value is dependent on factors such as the accuracy of the needle pin spacing, needle diameter accuracy, clearance between the needle pin and the semi-buried hole, cycloidal gear pitch deviation, assembly deviation, and the RV machine model. If the backlash Δc is too small, thermal expansion of the cycloidal gear causes interference friction between components, leading to increased noise, wear, vibration, and shortened service life. If the backlash Δc is too large and the input speed is too high, vibration is more likely to occur.
[0070] The principle of anti-backlash gears is described in the doctoral thesis "Anti-backlash gear systems... and their impact on dynamic performance":
[0071] "Relying on methods to improve processing accuracy to ensure transmission accuracy will significantly increase processing costs. ... Effective backlash elimination methods should be used to control transmission errors and improve the transmission accuracy of the mechanism,..."
[0072] "The spring-loaded double-piece gear anti-backlash mechanism (abbreviated as anti-backlash gear) can not only eliminate the tooth clearance caused by gear manufacturing errors, but also eliminate the idle motion caused by temperature changes. Therefore, it is widely used in industrial robots, precision servo mechanisms, radar antennas and inertial stabilized platforms. Inertial stabilized platforms (ISPs) are used in mobile carrier systems such as satellites and missiles."
[0073] "Anti-backlash gear mechanisms not only require high-speed, high-precision, and high-stability dynamic characteristics, but their gear systems also operate under load conditions involving frequent starting, braking, and forward and reverse rotation, resulting in significant variations in operating conditions."
[0074] Furthermore, corresponding to the size of the side clearance Δc value of various RV models, according to the principle of anti-backlash gear,
[0075] The phase difference between the two eccentric sections of the eccentric shaft is ΔΨ=177.7°~178.9°.
[0076] Furthermore, corresponding to the size of the side clearance Δc value of various RV models, according to the principle of anti-backlash gear,
[0077] The phase difference between the two eccentric sections of the eccentric shaft is: 177.8°≤ΔΨ≤178.8°.
[0078] The phase difference ΔΨ≠180° between the two eccentric segments of the eccentric shaft of the present invention forms an anti-backlash gear similar to that of a high-precision CNC machine tool, an anti-backlash cycloid gear structure, which has the effect of eliminating backlash. The required shaping accuracy is much lower than the 0.001 (mm) of RV-250AⅡ.
[0079] Theoretical calculations confirm that when the eccentric segment phase difference is 177.8°≤ΔΨ≤178.8°, the unbalanced centrifugal force is very small because the eccentric segment deflects clockwise and counterclockwise around the center of mass of the rotor (i.e., the eccentric segment) in a thin crescent shape and has a very small mass, as shown in the following table:
[0080]
[0081] Further calculations confirmed that when the eccentric phase difference is 177.8°≤ΔΨ≤178.8°, the maximum allowable unbalance reaches G1. There are 11 levels of balance quality: G0.4, G1, G2.5, G6.3, G1600, and G4000.
[0082] Take RV-80E as an example: the mass of the second eccentric section is m=192 (g), the speed is n=1000rpm,
[0083] Permissible unbalance eper = 1.0 (60·10 3 / 2π·1000) = 9.55 (g·mm / kg),
[0084] Permissible unbalance Uper = m· eper = (192 / 1000)·9.55 = 1.834·10 3 (g mm),
[0085] Uper Ⅰ=1.834·10 3 (0.5L / L) = 0.917·10 3 (g·mm), UpeⅡ= UpperⅠ,
[0086] Therefore, Uper Ⅰ+Upe Ⅱ=0.917·10 3 +0.917·10 3 =1.834·10 3 (g·mm).
[0087] The beneficial effects of the industrial robot RV-C type reducer of the present invention are:
[0088] (1) After the cycloid wheel of the present invention is modified, a reasonable gap (radial gap Δj and side gap Δc) is generated between the needle pin and the cycloid wheel tooth groove, so that the meshing parts will not be stuck when the cycloid wheel expands thermally under the rated load of the reducer;
[0089] (2) The present invention only requires the use of domestic machine tools and conventional manufacturing precision, and the processing and manufacturing difficulty is low;
[0090] (3) The external dimensions of the present invention are the same as those of the RV reducer of Japan's Nabtesco, and thus the present invention can be interchanged with the RV reducer, thereby improving the adaptability and practicality of the product.
[0091] The above descriptions are merely embodiments of the present invention and are not intended to limit the patent scope of the present invention. Any equivalent structure or equivalent process transformation made using the contents of the present invention specification, or directly or indirectly applied in other related technical fields, are also included in the patent protection scope of the present invention.
Claims
1. An RV-C type speed reducer for an industrial robot, comprising a pinion housing and a two-stage speed reduction component disposed therein: the first stage speed reduction component comprises a driving wheel, a duplex gear, and a planetary gear on a servo motor; the duplex gear comprises a driven wheel and a sun gear, the driven wheel meshing with the driving wheel, the sun gear meshing with the planetary gear, the planetary gear connected to the eccentric shaft extension end of the second stage speed reduction component; a wire conduit is provided in the inner hole of the duplex gear; and both sides of the duplex gear are supported by a first bearing and a second bearing at corresponding positions on the right rigid disk and the robot body, respectively; the second stage speed reduction component The component includes 2 to 3 evenly distributed eccentric shafts, cycloid wheels, needle pins, left rigid discs and right rigid discs. The cycloid wheels include a first cycloid wheel and a second cycloid wheel. The two eccentric sections of the eccentric shaft are provided with eccentric shaft bearings for supporting the cycloid wheels. The shaft extensions on both sides of the eccentric section are supported in the peripheral holes of the left rigid disc and the right rigid disc respectively by tapered roller bearings. The left rigid disc and the right rigid disc are supported in the inner holes on both sides of the pin gear housing by main bearings. The evenly distributed flanges on the left rigid disc pass through the corresponding holes on the cycloid wheel and are connected to the right rigid disc by screws and positioning pins to form a rigid body. The characteristics are as follows: (A) Create a reasonable radial clearance Δj between the pin and the cycloid tooth groove to ensure that under rated torque, the thermal expansion of the cycloid wheel does not cause the meshing parts to be in interference friction. Therefore, the reasonable radial clearance Δj must be related to the thermal expansion Ω: Radial clearance Δj = (0.18~0.5)Ω, Thermal expansion Ω=(α t ·Δt)d0, Where: temperature rise Δt = 45°C, d0 is the average diameter of the cycloid gear tooth top circle and tooth root circle; (B) The cycloid wheel adopts positive equidistance-positive displacement combination shaping, and its shaping amount depends on the radial gap Δj: positive equidistance shaping amount Δr z =Δj / (1-K), positive displacement correction amount ΔR z =KΔr z , Δr z -ΔR z =Δj, where: K=(1-K1 2 ) 0.5 , short amplitude coefficient K1=e Z b / Rz, e is the eccentricity, Z b is the number of needle teeth, R z is the radius of the center circle of the needle teeth, (C) The positive equidistant modification Δrz and the positive displacement modification ΔRz determine the size of the backlash Δc, which represents the size of the backlash. According to the anti-backlash gear principle, the first eccentric section of the eccentric shaft of the RV reducer deviates by a small angle θ, causing one cycloid wheel to approach the needle pin clockwise; the second eccentric section deviates by a small angle θ in the opposite direction, causing the other cycloid wheel to approach the needle pin counterclockwise. At this time, the phase difference between the two eccentric sections of the eccentric shaft of the RV reducer is 177.8°≤Δ Ψ ≤178.8° to reduce or eliminate hysteresis.
2. The RV-C type reducer for industrial robots according to claim 1, characterized in that: The radial clearance Δj between the needle pin and the cycloid wheel tooth groove is: 0.186Ω≤Δj≤0.3Ω.
3. The RV-C type reducer for industrial robots according to claim 1, characterized in that: Thermal expansion coefficient α of cycloid bearing steel t =1.379·10 -5 (1 / ℃),Ω=(α t ·Δt)d0 = 0.00062·d0, the units of Δj and Ω are mm.