Meshing theory of offsetting Archimedes cylindrical worm drive

References

• Donno, M. D., and F. L. Litvin. 1999. Computerized design, generation and simulation of meshing of a spiroid worm-gear drive with a ground double-crowned worm. Journal of Mechanical Design 121 (2):264–73. doi:10.1115/1.2829453.
   Web of Science ®Google Scholar
• Dong, X. Z. 1987. Design of worm drives. Vol. 2. Beijing: China Machine Press.
   Google Scholar
• Dong, X. Z. 1989. Foundation of meshing theory for gear drives. Beijing: China Machine Press.
   Google Scholar
• Dudás, I. 2000. The theory and practice of worm gear drives. London: Penton Press.
   Google Scholar
• Dudley, D. W. 1962. Gear handbook. New York: McGraw-Hill Book Company, Inc.
   Google Scholar
• Goldfarb, V. I. 2006. What we know about spiroid gears. Proceedings of the International Conference on Mechanical Transmissions, Chongqing, China,19–26.
   Google Scholar
• Goldfarb, V. I., D. V. Glavatskikh, E. S. Trubachev, A. S. Kuznetsov, and E. V. Lukin. 2011. Spiroid gearboxes for pipeline valves. Moscow: Veche Publishers ( in Russian).
   Google Scholar
• Kristopher, T. 2016. Differential geometry of curves and surfaces. Switzerland: Springer International Publishing.
   Google Scholar
• Litvin, F. L. 1997. Development of gear technology and theory of gearing. Cleveland OH: NASA Reference Publication.
   Google Scholar
• Litvin, F. L., and M. D. Donno. 1998. Computerized design and generation of modified spiroid worm-gear drive with low transmission errors and stabilized bearing contact. Computer Methods in Applied Mechanics and Engineering 162 (1–4):187–201. doi:10.1016/S0045-7825(97)00343-5.
   Web of Science ®Google Scholar
• Litvin, F. L., and A. Fuentes. 2004. Gear geometry and applied theory. 2nd ed. New York: Cambridge University Press.
   Google Scholar
• Litvin, F. L., A. Nava, Q. Fan, and A. Fuentes. 2002. New geometry of worm face gear drives with conical and cylindrical worms: Generation, simulation of meshing, and stress analysis. Computer Methods in Applied Mechanics and Engineering 191 (27–28):3035–54. doi:10.1016/S0045-7825(02)00235-9.
   Web of Science ®Google Scholar
• Meng, Q. X., Y. P. Zhao, J. Cui, and G. F. Li. 2022. Curvature interference characteristic of plane worm gear in offsetting cylindrical worm drive. Mechanisms and Machine Science 85:52–61.
   Google Scholar
• Nelson, W. D. 1961. Spiroid gearing, Part 1, 2, and 3. Machine Design 33 (4):136–144; 33 (5):93–100; 33 (6):165–71.
   Google Scholar
• Radzevich, S. P. 2016. Dudley’s handbook of practical gear design and manufacture. 3rd ed. Boca Raton: CRC Press.
   Google Scholar
• Saari, O. E. 1960. Skew axis gearing. US Patent 2954704, filed October 4, 1957, and issued April 10, 1960.
   Google Scholar
• Saari, O. E. 1954. Speed reduction gearing. US Patent 2696125, filed July 12, 1954, and issued December 7, 1954.
   Google Scholar
• Yang, L. C., Q. X. Yang, Y. Tao, and S. Y. Hong. 1986. An experimental study of deviation cylinder worm drive of arc-tooth-shape. Journal of Taiyuan University of Technology 3:51–64.
   Google Scholar
• Yue, Q. 2010. An analysis on meshing performance of offset cylindrical worm gearing and a study on worm processing. Thesis, Tianjin University.
   Google Scholar
• Zhao, Y. P. 2017. Axial tooth profile of conical surface enveloping spiroid. Proceedings of the JSME International Conference on Motion and Power Transmissions, Tokyo, Japan, 1–9.
   Google Scholar
• Zhao, Y. P., and X. W. Kong. 2018. Meshing principle of conical surface enveloping spiroid drive. Mechanism and Machine Theory 123:1–26. doi:10.1016/j.mechmachtheory.2018.01.012.
   Web of Science ®Google Scholar
• Zhao, Y. P., and X. Zhang. 2020. Meshing limit line of conical worm pair. Mechanisms and Machine Science 89:247–55.
   Google Scholar
• Zhao, Y. P., and Y. M. Zhang. 2017. Computing method for induced curvature parameters based on normal vector of instantaneous contact line and its application to Hindley worm pair. Advance in Mechanical Engineering 9:1–15.
   Web of Science ®Google Scholar