2009The Proceedings of the JSME international conference on motion and power transmissionsOpen access

GSD-12 TORSIONAL RIGIDITY OF A CYCLOID DRIVE CONSIDERING FINITE BEARING AND HERTZ CONTACT STIFFNESS(GEAR STRENGTH AND DURABILITY, INCLUDING GEAR MATERIALS AND HEAT TREATMENT TECHNIQUES)

Kyoung-hong Kim, Chun-se Lee, Hyeong-Joon Ahn

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Abstract

This paper presents the contact force and torsional rigidity analysis of a cycloid drive considering finite bearing and Hertz contact stiffness. Contacts between the disk and pin-rollers are simplified as linear spring elements, and the bearing is modeled as a rigid ring that has frictional contact to the disk and an elastic support. FE analysis for contact force and Hertz theory calculation for contact stiffness are performed iteratively until the contact stiffness converges less than 1%. Contact force and pressure distributions under different contact and bearing stiffness are analyzed. In addition, effects of the cycloid disk rotation are discussed. Finally, the torsional rigidity of the cycloid drive is analyzed. The results show that the bearing and nonlinear Hertz contact stiffness should be considered in analysis and design of the cycloid drive.

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What this paper is about

This paper presents the contact force and torsional rigidity analysis of a cycloid drive considering finite bearing and Hertz contact stiffness. Contacts between the disk and pin-rollers are simplified as linear spring elements, and the bearing is modeled as a rigid ring that has frictional contact to the disk and an elastic support. FE analysis for contact force and Hertz theory calculation for contact stiffness are performed iteratively until the contact stiffness converges less than 1%. Contact force and pressure distributions under different contact and bearing stiffness are analyzed. In addition, effects of the cycloid disk rotation are discussed. Finally, the torsional rigidity of the cycloid drive is analyzed. The results show that the bearing and nonlinear Hertz contact stiffness should be considered in analysis and design of the cycloid drive.

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Available abstract

This paper presents the contact force and torsional rigidity analysis of a cycloid drive considering finite bearing and Hertz contact stiffness. Contacts between the disk and pin-rollers are simplified as linear spring elements, and the bearing is modeled as a rigid ring that has frictional contact to the disk and an elastic support. FE analysis for contact force and Hertz theory calculation for contact stiffness are performed iteratively until the contact stiffness converges less than 1%. Contact force and pressure distributions under different contact and bearing stiffness are analyzed. In addition, effects of the cycloid disk rotation are discussed. Finally, the torsional rigidity of the cycloid drive is analyzed. The results show that the bearing and nonlinear Hertz contact stiffness should be considered in analysis and design of the cycloid drive.

Key concepts: Hertz, Cycloid, Contact theory, Stiffness, Rigidity (electromagnetism), Contact analysis, Contact mechanics, Contact force

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GSD-12 TORSIONAL RIGIDITY OF A CYCLOID DRIVE CONSIDERING FINITE BEARING AND HERTZ CONTACT STIFFNESS(GEAR STRENGTH AND DURABILITY, INCLUDING GEAR MATERIALS AND HEAT TREATMENT TECHNIQUES) — Research Paper | ScholarLens