Information description and integration of spiral bevel gear manufacturing process under networked manufacturing mode

Li, Jubo; Zhang, Pingze; Feng, Lixin; Yin, Guoxian; Chen, Zhu; Ma, Wensuo; Xu, Aijun; Nie, Shouping; Zhang, Hua

doi:10.1007/s40430-019-1737-4

Cited by 4 publications

(5 citation statements)

References 24 publications

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“…The transmission error is an important index for evaluating the profile modification quality. Its existence directly affects the meshing performance of the cycloid-pin gear and causes certain shock and vibration [12,20,22]. However, the profile shape of the cycloidal gear has a great influence on the transmission error and the lost motion.…”

Section: Transmission Error Of the Modified Profilementioning

confidence: 99%

“…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%

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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: Transmission Error Of the Modified Profilementioning

confidence: 99%

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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“…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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“…Yang et al [16] rationally planned the grinding path during machining, which improved the machining accuracy of spiral bevel gears. Li et al [17] built a closed-loop manufacturing system of spiral bevel gears based on the precise measurement of the gear measurement center, which greatly improved the processing accuracy and production efficiency. Li et al [18,19] analyzed the measuring motion principles of hypoid gears and cycloidal gears, and completed the precise measurement and evaluation on the gear measuring center using a 1D probe, which laid the theoretical foundation for the 3D model measurement in this paper.…”

Section: Introductionmentioning

confidence: 99%

A measurement method for tooth surface errors of straight bevel gears based on 3D model

Li¹,

Li²,

Deng³

et al. 2020

Meas. Sci. Technol.

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Due to the inconsistency between a theoretically designed tooth surface and the actual measured reference surface, the tooth surface error data obtained by the traditional measurement method is unreliable, and incorrectly reflects the machining accuracy of straight bevel gears. This has become a key problem in the current measurement process, and needs to be resolved. In this paper, a new measurement method is proposed to achieve accurate measurement and evaluation of the machining error of straight bevel gears. The 3-dimensional (3D) model surface designed by the manufacturer is directly extracted as a theoretical reference to complete the measurement, which ensures the correctness of the error results. A measurement strategy of normal rotation of the measured point is adopted to make up for the disadvantages of the one-dimensional (1D) probe and improve the measurement accuracy. The problem of the sensitive direction of the probe deviating from the normal direction is compensated for by increasing the dimension of the 1D probe and reducing the dimension of the 3D normal. According to the constructed error calculation model, the minimum tooth surface error is obtained through reconstruction and optimal matching techniques. Finally, the accuracy and effectiveness of the measurement method are verified through measurement comparison experiments. This method solves the technical problem of the inconsistency of the measured reference surface, and uses a low-cost 1D probe to achieve precise measurement of the 3D surface. It not only improves the disadvantages of current measurement methods, but also provides effective technical support for other gear measurements.

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Information description and integration of spiral bevel gear manufacturing process under networked manufacturing mode

Cited by 4 publications

References 24 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

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

A measurement method for tooth surface errors of straight bevel gears based on 3D model

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