A decoupling method for multi-stage gear transmission error
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Keywords:
Decoupling (probability)
Non-circular gear
SIGNAL (programming language)
In industrial robot design, selecting a motor and reducer is one of the essential elements in the design process. The typical mechanical reducer type is a gear train or planetary gear set. Unfortunately, the gear train and the planetary gear have a meager gear ratio, while their weight is too heavy, the transmission repetition accuracy is low and has a high backlash. On the other hand, the harmonic reducer system developed from the transmission gear has an elastic strain wave, which gives a better gear ratio per weight than those two gear systems. In this paper, a harmonic gear reducer is designed according to the transmission requirements and applied rotation to the base of a Puma 560 industrial robot. The harmonic drive is designed under gear physical requirements and robot techniques properties. The required gear ratio of the rotary joint of 1/50, gear geometry design, manufacturing, calculation, and simulation of strength, the safety factor, and experimental results have verified the designs.
Harmonic drive
Non-circular gear
Gear train
Worm drive
Gear ratio
Drivetrain
Cycloid gear
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Based on ANSYS finite element analysis of the gear shaft in the oil-submerged planetary gear reducer
In this paper,the gear shaft with accurate tooth profile is set up with 3-D mechanical software(pro/e),then on the basis of the theory of the engagement of gear teeth,this article analyze the stress and strain distribution of the gear shaft in the oil-submerged planetary gear reducer through the large-scale analysis software(ANSYS),which is big power and low rotate speed,it gives one method to check the strength of the gear shaft in the oil-submerged planetary gear reducer,which provides a theoretical basis for the reliability optimization of oil-submerged planetary gear reducer.
Non-circular gear
Gear train
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Several kinds of reducing gears probably with small space and great transmission ratio are analyzed and compared. Transmission with small teeth difference which is equipped with the first level bevel gear pair and the second level beveloid gear is adopted as the transmission mode of the microminiaturization reducing gear. Besides, the vertical shaft transmission power is also adopted. Meanwhile, second level transmission with small teeth difference is introduced for beveloid gear considering reducing the vibration and return difference. The characteristics of the beveloid gear are also analyzed in this thesis. In the meantime, the thesis provides selection for main parts materials, efficiency calculation, bearing selection, and shaft design as well as assembly diagram. This paper constructs mathematical models for the backlash of bevel gear pair, beveloid gear pair and drive system according to the structural features of reducer. Through the analyses on the influencing factors of bevel gear backlash and the influence of adjusted clearance quantum of beveloid gear on the whole machine backlash of reducer, the influencing parameters of backlash are found out, the calculation on backlash is adjusted, and finally a quantitative calculation is conducted. The design results ensure that the backlash of reducer can achieve the predetermined design requirements, and also ensure the operating requirements from large gear ratio, high torque and large bending moment of the whole reducer system.
Bevel gear
Non-circular gear
Hobbing
Gear ratio
Transmission system
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Compared with traditional mechanical gears, magnetic gears have the advantages of no friction, low noise and low vibration. Although magnetic gear has a wide development prospect, there are few research papers on magnetic gear reducers. The calculation formula of the transmission torque is also more complicated, and there is a certain degree of error. This paper designs a magnetic gear reducer. Firstly, the transmission principle and characteristics of magnetic gear reducer are analyzed. Then the torque calculation formula is deduced and simplified. The three-dimensional model is constructed and the relevant simulation analysis is completed. Finally, the physical construction and experimental analysis are completed, and it is applied to the common life scenes of tower cranes, which proved the practical feasibility of the design.
Magnetic gear
Non-circular gear
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By analysing and comparing the existing solutions of universal gear reducers with helical gears of the leading manufacturers, it can be noticed the effort to increase the load capacity of the gear reducer within the same axis height. In this way, the manufacturers can offer smaller (cheaper) gear reducers, as well as to simultaneously increase the values of the largest gear ratios. This concept enables the offer of lower-stage (cheaper) gear reducers with higher gear ratios in certain segments of gear ratios. By these efforts, it is reached the maximum, but the further increase is possible only by changing the current concept of universal gear drives. Within this paper, it is given an overview and analysis of one of the possible new conceptual solutions of modern universal motor gear reducer.
Non-circular gear
Gear train
Cycloid gear
Gear ratio
Gear pump
Worm drive
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A new type of harmonic magnetic gear reducer, which is completely different from the established one, is presented in this paper. It uses the magnetic gear instead of the mechanical gear. The wave generator is composed of a pair of protruding pole permanent magnet rotors. It is the quicker rotor of the reducer. The cup shaped rigid magnetic gear, which does not deform, is used instead of the flexible gear. It is the slower rotor of the reducer. The fixed annular gear is also replaced by the magnetic gear. It is the stator of the reducer. The mesh between the magnetic gears is the contactless mesh.
Magnetic gear
Non-circular gear
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The cyclo gear reducer has a deceleration ratio of engagement that is two and three times higher than the usual spur wheel or involute gears. Since the curved shape of the teeth used in an epitrochoid gear are not sharp, the gear can be made using a 3D processing. Our purpose is to develop the cyclo gear reducer that can semi-continuously change the deceleration ratio by installing the mechanism where the slide moves along the direction of the rotation axis in the epitrochoid gear, as one of the applications of the cyclo gear reducer.
Non-circular gear
Cycloid gear
Gear ratio
Gear train
Hobbing
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We explain the applications of the cyclo gear reducer. For the epitrochoid gear that we design, one epitrochoid curve gear forming from several parameters is installed on the side, and the other gear consisting of different epitrochoid curve shape is installed on the other side. The slide link with the small roller as one part of the internal sun gear moves along the direction of the rotation axis of the epitrochoid gear in the cyclo gear reducer in order to achieve the variable transmission.
Non-circular gear
Gear train
Cycloid gear
Gear ratio
Worm drive
Gear pump
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The dynamic model of a cylindrical gear transmission system was built considering time-varying mesh stiffness,gear errors and bearing supporting. Dynamic load of the bearing was taken as an excitation,Vibration and noise radiation of a gear reducer were studied by using FEM / BEM. In case of no gear manufacturing errors,changes of radiated noise of the gear reducer versus rotation speed and load were calculated,respectively by using both numerical simulation and Kato's formulae,the results of both two methods agreed well. The influence of gear precision on the gear reducer noise was analyzed,then the relation between gear precision and the gear reducer noise was built. A gear reducer noise prediction formula was fitted in consideration of coupling effect between gear precision and operating conditions. The accuracy of the formula was validated with gear reducer noise measuring tests.
Non-circular gear
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Worm gear speed reducers are comprised of the terms “gearbox” and “speed reducer” that are used interchangeably in the world of power transmission and motion control. Gearboxes are used for speed reduction and torque multiplication. A hybrid term of “gear reducer” is also commonly used when talking about gearboxes. This is simply a gearbox (or speed reducer, or gear reducer) with a motor directly mounted to the input. A gearbox designed using a worm and worm-wheel will be considerably smaller than one made from plain spur gears and has its drive axes at 90° to each other. With a single start worm, for each 360° turn of the worm, the worm-gear advances only one tooth of the gear. Therefore, regardless of the worm's (sensible engineering limits notwithstanding), the gear ratio is the size of the worm gear - to - 1. Given a single start worm, a 20 tooth worm gear will reduce the speed by the ratio of 20:1. With spur gears, a gear of 12 teeth (the smallest permissible, if designed to good engineering practices) would have to be matched with a 240 tooth gear to achieve the same ratio of 20:1. Therefore, if the diametrical pitch of each gear was the same, then, in terms of the physical of the 240 tooth gear to that of the 20 tooth gear, the worm arrangement is considerably smaller in volume. This paper talks about the 3-D design and assembly of a worm gear reducer using the design software tool from PTC, Creo Parametric 2.0. This CAD tool was instrumental in designing the 20 individual parts and hence creating the assembly of the gear reducer as a w hole. This project was aimed to test and optimize the CAD knowledge and sharpen the design skills. Creo Parametric is a very user-friendly design software which was very useful for this purpose. Furthermore, certain manufacturing activities like facing, cutting, milling and drilling activities were also completed on the designed parts. The manufacturing changes were reviewed in Vericut. Thus, to sum it up, designing a worm gear reducer takes a lot of patience and hard work, eventually leading to the potential development of 3-D design attributes.
Worm drive
Non-circular gear
Gear ratio
Cycloid gear
Gear train
Gear pump
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