| 摘要(英) |
The purpose of this study is to analyze the meshing characteristics of harmonic drives (HD) with involute profile and double-circular-arc profile. Firstly, the 2-D mathematical model of flexsplines (FS) with involute tooth profile and double-circular-arc profile were developed by using respective rack cutter based on the theory of gearing. Then the engaging circular spline (CS) with conjugate tooth profile of FS was derived based on the enveloping theory and kinematic model of HD. Additionally, a mesh generation program was developed to discretize the FS based on the 2-D mathematical model. Furthermore, 2-D FEA was conducted to explore the engagement movement of the FS, the torsional stiffness, transmission ratio, fillet stress and contact stress of the FS during meshing process and the engaged area of teeth of the HD under various conditions. In this study, an optimization method was adopted in the parametric design of 2-D tooth profile. The optimization aims to achieve the maximum torsional stiffness, and the constraints are that the stress is smaller than the fatigue limit of the FS material and no interference between the teeth of FS and CS is presented. An 2-D tooth profile optimization processing combining c++, finite element analysis and optimization algorithm was successfully performed. Moreover, a preliminary 3-D FEA was conducted to explore the torsional stiffness and the engaged area of teeth of the HD under two conditions, such as HD with lead crowning or HD without lead crowning by adding in axial parameters, including cup length, tooth width and so on. Finaly, The results from 2-D FEA and 3-D FEA were compared and discussed. The proposed methodology in this study paved the way for future investigations of 3-D FEA and 3-D optimization.
keywords：harmonic drive, torsional stiffness, engaged area of teeth, involute tooth profile, double-circular-arc profile, finite element analysis, optimization
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| 參考文獻 |
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