Cutter position calculation of machining equal base circle bevel gears with a pot-shaped milling cutter

Wang, Bin; Fan, Mingxing; Sun, Xun; Li, Jubo; Xu, Aijun; Li, Genggeng; Yang, Jianjun

doi:10.1007/s00170-016-8657-6

Cited by 13 publications

(13 citation statements)

References 8 publications

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“…From the above studies, it can be seen that the traditional modification design is mainly realized by changing the size and center position of the grinding wheel in the generation process. At present, the gear grinding technology and precision measurement technology are increasingly mature [18][19][20], so the modification methods of cycloidal gears are more flexible [21] and various tooth profile optimization technologies are available. The profile shape of a cycloidal gear directly affects its transmission performance and the pressure angle distribution on the cycloid profile determines the force transmission performance of gear teeth in meshing.…”

Section: Introductionmentioning

confidence: 99%

A New Tooth Profile Modification Method of Cycloidal Gears in Precision Reducers for Robots

Deng³

et al. 2020

Applied Sciences

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The tooth profile modification of cycloidal gears is important in the design and manufacture of precision reducers or rotary vector (RV) reducers for robots. The traditional modification design of cycloidal gears is mainly realized by setting various machining parameters, such as the size and center position of the grinding wheel. The traditional modification design has some disadvantages such as complex modification calculation, uncontrollable tooth profile curve shape and unstable meshing performance. Therefore, a new tooth profile modification method is proposed based on the consideration of the comprehensive influences of pressure angle distribution, meshing backlash, tooth tip and root clearance. Taking the pressure angle and modifications of tooth profile as the parameters of the modification function and the meshing backlash of gear teeth as constraints, the mathematical model for tooth profile modifications is built. The modifications are superimposed on the normal direction of the theoretical profile—the force transmission direction. The mathematical relationship between the modifications and the pressure angle distribution, which determines the force transmission performance, is established. Taking the straight line method, cycloid method and catenary method as examples, by means of the tooth contact analysis technology, the transmission error and minimum meshing backlash, which reflects the lost motion, of the newly modified profile are analyzed and verified. This proposed method can flexibly control the shape change of the modification profile and accurately pre-control the transmission accuracy of the cycloid-pin gear. It avoids the disadvantages of traditional modification methods, such as uncontrollable tooth profile shape and unstable meshing accuracy. The method allows good meshing characteristics, high force transmission performance and more precise tooth profile curve. The study provides a new design method of the modified profile of cycloidal gears.

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Section: Introductionmentioning

confidence: 99%

A New Tooth Profile Modification Method of Cycloidal Gears in Precision Reducers for Robots

Deng³

et al. 2020

Applied Sciences

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“…Based on CAD/CAM integration Alves et al [21] achieved the 5-axis CNC milling of spiral bevel gear. Additionally, Deng et al [22] and Wang et al [23] proposed the method of machining equal base circle bevel gears with a pot-shaped gear cutter, established the tooth cutting coordinate systems and model of pot-shaped cutter, calculated the cutter positions and states, and finally realized the machining of equal base circle bevel gears upon a general NC machine tool. Tsuji et al [24] studied the manufacturing method of large-sized spiral bevel gears in Klingelnberg cyclo-palloid system using multi-tasking machine tool with five-axis control.…”

Section: Introductionmentioning

confidence: 99%

An integration method of design and machining for spiral bevel gears based on universal CNC machine tools

Gao

Zhang

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

Self Cite

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The machining methodologies of spiral bevel gears based on universal computer numerical control (CNC) machine tools open up a new way for the flexible and diversified machining of spiral bevel gears. In order to improve the information interrelatedness and traceability in isolated machining mode of spiral bevel gears based on universal CNC machine tools, a novel integrated design and machining mode of spiral bevel gears based on universal CNC machine tools is proposed in this paper, and the spiral bevel gears integrated design and machining scheme is established. On this basis, a communication control framework for spiral bevel gear integrated design and machining is set up, and an information integration management system for spiral bevel gears is developed, which achieve the information communication and integration management of the whole spiral bevel gear integrated design and machining process. Finally, the feasibility and practicability of the integrated design and machining mode and the information integration management system are verified by the integrated design and machining example of one kind of spiral bevel gears. The proposed integrated design and machining mode accomplishes the isolated-to-integrated transformation of spiral bevel gear machining mode based on universal CNC machine tools and meets the modern integrated design and machining demands for spiral bevel gears based on universal CNC machine tools.

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“…These advances will make the error compensation and correction technology for cycloidal gears more convenient and diverse. Moreover, good engineering results have been achieved using a digital correction method to control and improve the machining accuracy of spiral bevel gears (Li et al, 2019;Wang et al, 2016;.…”

Section: Introductionmentioning

confidence: 99%

Quantitative correction method for the grinding errors of cycloidal gears in precision reducer

Deng

et al. 2020

JAMDSM

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The motion accuracy of a precision reducer mainly depends on the transmission quality of the cycloid-pin gear, which is determined by the grinding accuracy of the cycloidal gear. The poor meshing characteristics caused by grinding errors in the cycloidal gear are the primary reasons for the low motion accuracy and short service life of a precision reducer. This paper proposes a quantitative correction method based on the grinding error of a cycloidal gear. This method allows the error in machine-tool grinding settings to be quickly and accurately corrected based on mathematical analysis and reverse engineering. A mathematical model of the grinding motion could be constructed based on the particularity of the continuous and closed profile of a cycloidal gear, and a cycloidal profile equation with the grinding settings as variables could be derived. A transitive equation for the grinding settings and tooth profile error was constructed using the closed reconstruction and optimal matching technology, and the essential relationship between the error extraction and quantitative correction was clarified. On this basis, a correction model was constructed, the correction strategy was planned, and the quantified correction of the grinding settings was realized using the numerical optimization method. Experimental results demonstrated that the quantitative correction method could quickly and accurately produce correction values for the machine-tool grinding settings. The tooth profile error could effectively be reduced with just one correction and two grinding operations. This study solved the technical problems that occur in the traditional machining process, which can only be corrected qualitatively and not quantitatively, and provided an effective way to improve the machining precision of the key parts of the precision reducer.

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Cutter position calculation of machining equal base circle bevel gears with a pot-shaped milling cutter

Cited by 13 publications

References 8 publications

A New Tooth Profile Modification Method of Cycloidal Gears in Precision Reducers for Robots

A New Tooth Profile Modification Method of Cycloidal Gears in Precision Reducers for Robots

An integration method of design and machining for spiral bevel gears based on universal CNC machine tools

Quantitative correction method for the grinding errors of cycloidal gears in precision reducer

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