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Torsional Rigidity of a Two-stage Cycloid Drive

이단 사이클로이드 드라이브의 비틀림 강성

  • 김경홍 (숭실대학교 대학원 기계공학과) ;
  • 이춘세 (숭실대학교 대학원 기계공학과) ;
  • 안형준 (숭실대학교 기계공학과)
  • Published : 2009.11.01

Abstract

This paper presents a finite element (FE) analysis of the torsional rigidity of a two-stage cycloid drive. The cycloid disk makes contact with a number of pin-rollers simultaneously and eccentric shafts transmit not only torque of the spur gear stage to the cycloid disk, but also that of the cycloid disk to the output disk. Contacts between the disk and pin-rollers are simplified as linear spring elements, and the bearing of eccentric shaft is modeled as a rigid ring that has frictional contact to the disk and an elastic support. FE analysis for an ideal solid cycloid drive was performed and verified by a theoretical calculation. Accurate contact forces were then estimated by iterating between FE analysis for contact forces and Hertz theory calculations for nonlinear contact stiffness. In addition, torsional rigidity of the cycloid drive is analyzed to show that the bearing and nonlinear Hertz contact theory should be considered in analysis and design of a cycloid drive, which was verified with experiments. Finally, the effects of contact stiffness, bearing stiffness and cycloid disk structural stiffness according to the cycloid disk rotation on the torsional rigidity were investigated.

Keywords

Cycloid Drive;FE Analysis;Hertz Contact Theory;Torsional Rigidity

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