Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지

Design and Simulation of Meshing of New Type of Worm-Gear Drive with Localized Contacts

  • Seol, In-Hwan (Agency for Defence Development) ;
  • Chung, Soon-Bae (Agency for Defence Development)
  • Published : 2000.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

The design and simulation of meshing of a single enveloping worm-gear drive with modified surfaces is presented. Generally worm-gear is generated by the hob which is identical to the worm. This process guarantees the conjugation between the worm and the gear but results in a line contact at every instant which is very sensitive to misalignment. The localization of bearing contact is necessary to reduce the sensitivity of the worm-gear drive to misalignment. Practically this localization is achieved by application of an oversized worm type hob to cut the worm-gear. The oversized hob approach is very practical and effective to localize bearing contact but can not provide the conjugation between the worm and the modified worm-gear. This work proposes an analytical procedure to make the worm surface conjugate to the worm-gear which is cut by the oversized hob. The developed computer program allows the investigation of the influence of misalignment on the shift of the bearing contact and the determination of the transmission errors, the contact ratio and the principle curvatures. The developed approach has been applied for ZK type of single-enveloping worm-gear drives and the developed theory is illustrated with a numerical example.

Keywords

References

  1. Bair, B. W. and Tsay, C. B., 1998, 'ZK- Type Dual-Lead Worm and Worm-Gear Drives: Contact Teeth, Contact Ratio and Kinematic Errors,' ASME Journal of Mechanical Design, Vol. 120, pp. 422-428
  2. Buckingham, E., 1963. 'Analytical Mechanics of Gears,' 2nd ed. Dover Publication
  3. Colbourne, J. R., 1989, 'The Use of Oversize Hobs to Cut Worm Gears,' AGMA paper 89FTB8
  4. Dudley, D. W., Gear Handbook. The Design, Manufacture, and Application of Gears. McGraw-Hill, NY, 1962
  5. Dudley, D. W., 1954. Practical Gear Handbook, McGraw-Hill, NY
  6. Gu, Inhoy, 1997, 'Design of Antibacklash Pin Gearing,' KSME International Journal, Vol. 11, No. 6, pp. 611-619
  7. Hong-Sheng Fang and Chung-Biau Tsay, 1996 (a), 'Effects of the Hob Cutter Regrinding and Setting on ZE-Type Worm Gear Manufacture,' Int. J. Mach. Tools Manufact. Vol. 36, No. 10, pp. 1123-1135 https://doi.org/10.1016/0890-6955(96)00020-X
  8. Fang, H. S. and Tsay, C. B., 1996(b), 'Mathematical Model and Bearing Contacts of the ZK-Type Worm Gear Set Cut by Oversize Hob Cutter,' Mechanism and Machine Theory, Vol. 31, No. 3, pp. 271-282 https://doi.org/10.1016/0094-114X(95)00062-4
  9. Litvin, F. L., 1994, Gear Geometry and Applied Theory. Prentice Hall NJ
  10. Litvin, F. L. and Hsiao, C. L, 1993, 'Computerized Simulation of Meshing and Contact of Enveloping Gear Tooth Surfaces,' Computer Methods in Applied Mechanics and Engineering https://doi.org/10.1016/0045-7825(93)90054-2
  11. Litvin, F. L. and Kin. V., 1992, 'Computerized Simulation of Meshing and Bearing Contact for Single-Enveloping Worm-Gear Drives,' ASME Journal of Mechanical Design. Vol. 114, pp. 313-316
  12. Litvin, F. L., Kin, V. and Zhang, Y., 1990, 'Limitations of Conjugate Gear Tooth Surfaces,' ASME Journal of Mechanical Design. Vol. 112, pp 230-236
  13. Seol, I. H. and Litvin, F. L., 1996, 'Computerized Design, Generation and Simulation of Meshing and Contact of Modified Involute, Klingelnberg and Flender Type Worm-Gear Drives,' ASME Journal of Mechanical Design. Vol. 118, pp. 551-555
  14. Simon, V. V., 1998, 'Characteristics of a New Type of Cylindrical Worm Gear Drive,' ASME Journal of Mechanical Design. Vol. 120, pp. 139 -146