Generation of tooth profile for roots rotor based on virtual linkage associated with Assur group

Cai, Y; Yao, L; Wei, G

Abstract

This article, for the first time, presents the generation of Roots rotor tooth profiles based on an Assur-group-associated
virtual linkage method. Taking the original Roots rotor as an example, structure and geometry of the Roots rotor are
introduced, and based on the principle of inversion, an equivalent virtual linkage is identified for generating dedendum
tooth profile of the rotor. Using linkage decomposition associated with elemental Assur groups, algorithm for computing
the tooth curve is constructed leading to the explicit expression of rotor profile and the corresponding numerical simulation,
verifying the validity of the proposed approach. For demonstration purpose, the virtual linkage method is then
extended to the generation of tooth profiles for the variants of Roots rotors with arc-cycloidal curves and arc-involute
curves. Integrated with computer-aided design, computer-aided engineering and computer-aided manufacturing software
platforms, as well as the three-dimensional printing technology, this article provides an efficient and intuitive approach
for Roots rotor system design, analysis and development.

Citation

Cai, Y., Yao, L., & Wei, G. (2016). Generation of tooth profile for roots rotor based on virtual linkage associated with Assur group. Advances in Mechanical Engineering, 8(12), 1-8. https://doi.org/10.1177/1687814016683352

• Journal Article Type: Article
• Acceptance Date: Nov 16, 2016
• Online Publication Date: Dec 1, 2016
• Publication Date: Dec 1, 2016
• Deposit Date: Jan 9, 2017
• Publicly Available Date: Jan 9, 2017
• Journal: Advances in Mechanical Engineering
• Print ISSN: 1687-8132
• Electronic ISSN: 1687-8140
• Publisher: SAGE Publications
• Volume: 8
• Issue: 12
• Pages: 1-8
• DOI: https://doi.org/10.1177/1687814016683352
• Publisher URL: http://journals.sagepub.com/doi/abs/10.1177/1687814016683352?ai=1gvoi&mi=3ricys&af=R
• Related Public URLs: http://journals.sagepub.com/home/ade