Computer-aided manufacturing of spiral bevel and hypoid gears by applying optimization techniques

Lin, Chen-Hao P.; Tsay, Chung-Biau; Fong, Zhang‐Hua

doi:10.1016/s0924-0136(01)00734-8

Cited by 82 publications

(29 citation statements)

References 11 publications

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“…The gear volume considered in calculations would be the volume of the pinion only. The pinion volume can be simplified to a truncated cone at the pitch cone (Fang 2000;Deng et al 2001;Lin et al 2001). The volume of a truncated cone is given as below:…”

Section: Details Of Reference Circle Methodsmentioning

confidence: 99%

Volume calculation of the spur gear billet for cold precision forging with average circle method

Cheng

Chi

Wang

et al. 2014

Int J Coal Sci Technol

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Forging spur gears are widely used in the driving system of mining machinery and equipment due to their higher strength and dimensional accuracy. For the purpose of precisely calculating the volume of cylindrical spur gear billet in cold precision forging, a new theoretical method named average circle method was put forward. With this method, a series of gear billet volumes were calculated. Comparing with the accurate three-dimensional modeling method, the accuracy of average circle method by theoretical calculation was estimated and the maximum relative error of average circle method was less than 1.5 %, which was in good agreement with the experimental results. Relative errors of the calculated and the experimental for obtaining the gear billet volumes with reference circle method are larger than those of the average circle method. It shows that average circle method possesses a higher calculation accuracy than reference circle method (traditional method), which should be worth popularizing widely in calculation of spur gear billet volume.

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Section: Details Of Reference Circle Methodsmentioning

confidence: 99%

Volume calculation of the spur gear billet for cold precision forging with average circle method

Cheng

Chi

Wang

et al. 2014

Int J Coal Sci Technol

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“…Machining error may exist for a number of reasons, such as machine tool setting inaccuracies, machine constant error, and machine flexibility [8]. Error analysis and compensation should focus on the interaction of these sources rather than considering each error in isolation.…”

Section: Error Analysismentioning

confidence: 99%

A generating method for digital gear tooth surfaces

Wang

et al. 2005

Int J Adv Manuf Technol

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Based on the theories of digital conjugate surface and gear meshing, a generating method for digital gear tooth surfaces (DGTS) is demonstrated in this paper. The research focuses on the conjugate motion between the DGTS, represented by discrete points, and the cutter figuration determined by analytic function in the manufacture process. Conjugate points in the cutter section corresponding to the discrete points on the digital surface and conjugate movements are solved. Automated sequence arrangements of the generating movement parameters have been performed and the discrete generating movements are interpolated in a continuous conjugate motion along the order. Strategies of error analysis and error compensation are also discussed in this paper. Computer-simulated examples of the generating machining of involute DGTS and non-standard shaped DGTS, the parameters of machining motions and real tooth surfaces verify the developed method. The research develops a new idea for the machining of DGTS, which breaks the limitations of conventional approaches based on analytic surfaces. It is of important theoretical and practical value to manufacture digital surfaces. Our method is not only be applicable in generating machining of discrete DGTS and analytic gear tooth surfaces with complex geometric design, but also in contributing to the processing of discrete digital cam and other 3-D digital surfaces.

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“…Wang Zhe, Liu Qingmin et al [8][9][10][11][12] introduced the exact duplex helical method about the blank design, the determination of machine settings and calculating point. TSAY and LIN et al [13,14] established the mathematical model of the spiral bevel and hypoid gears using duplex helical method. ZHANG Yu, YAN Hongzhi et al [15] established the mathematical model of spiral bevel and hypoid gears by half-formate duplex helical method and proposed a new method of TCA.…”

Section: Introductionmentioning

confidence: 99%

Comparative Analysis of Meshing Performance of Spiral Bevel Gears Generated by Duplex Helical and SGM Method

Guo-bing¹,

Yan²,

Zhian³

et al. 2017

dtcse

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In order to get a deeper understanding of duplex helical method, the mathematical model of spiral bevel gear pair by duplex helical method was established and two models of gear pairs generated by duplex helical method and SGM method respectively were built for meshing performance analysis. The duplex helical method for pinion generating was introduced in detail through the process of the pinion modeling. The meshing performance of the gear pairs modeled was analyzed by finite element analysis software. The results show that the meshing performance of the gear pair by SGM method is superior to that by duplex helical method. The contact pressure, contact force and transmission error of the gear pair by SGM method are preferable while severe edge contact happens to that by duplex helical method and its contact path is discontinuous. For duplex helical method, tooth modification should be done to get better meshing performance.

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Computer-aided manufacturing of spiral bevel and hypoid gears by applying optimization techniques

Cited by 82 publications

References 11 publications

Volume calculation of the spur gear billet for cold precision forging with average circle method

Volume calculation of the spur gear billet for cold precision forging with average circle method

A generating method for digital gear tooth surfaces

Comparative Analysis of Meshing Performance of Spiral Bevel Gears Generated by Duplex Helical and SGM Method

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