Abstract
Two imaginary skew rack cutter curves with stepped triple circular-arc teeth are presented in this paper. A helical gear pair that includes the gear and pinion surfaces was generated by using two matched imaginary skew rack cutter surfaces. The mathematical models of the helical gear pair with stepped triple circular-arc teeth were developed based on theory of gearing. With the use of these models, the analysis of kinematic errors can be illustrated and evaluated by computer programming and tooth contact analysis (TCA). The assembly errors used had several kinds: ideal assembly errors, vertical misalignment angles, horizontal misalignment angles, manufacturing errors of helical angles, and center distance deviation. TCA revealed that the sensitivity of horizontal misalignment angles was lower than that of manufacturing errors of helix angles but higher than that of vertical misalignment angles.
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Recommended by Associate Editor Eung-Soo Shin
Xiao-Shun Xie received his B.E. and M.E. degrees in Mechanical Engineering from Department of Industrial Education and Technology, National Changhua University of Education, Taiwan (R.O.C) in 2009 and 2011, respectively. Xie is currently a Teacher of Department of Mechanical Engineering of National Kangshan Agricultural and Industrial Vocational Senior High School, Taiwan(R.O.C). He have taught in the Municipal Kaohsiung Senior Vocational Industrial High School and The Affiliated Senior High School of National University of Tainan, Taiwan (ROC) in 2011 and 2013, respectively. His research field is design technology of gear model.
Hsueh-Cheng Yang received B.S. and M.S. degrees in Mechanical Engineering and Power Mechanical Engineering from National Chiao Tung University in 1994 and National Tsing Hua University in 1995, respectively. He got Ph.D. of Mechanical Engineering at National Cheng Kung University in 1999. Prof. Yang is currently a professor of was a professor of a studying gear region at Graduate Institute of Vehicle Engineering, National Changhua University of Education University, Changhua City, Taiwan. His research fields are gear theory and application and biomass energy in engine application.
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Xie, XS., Yang, HC. Kinematic errors on helical gear of triple circular-arc teeth. J Mech Sci Technol 28, 3137–3146 (2014). https://doi.org/10.1007/s12206-014-0722-1
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DOI: https://doi.org/10.1007/s12206-014-0722-1