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.
| Original language | English |
|---|---|
| Pages (from-to) | 3137-3146 |
| Number of pages | 10 |
| Journal | Journal of Mechanical Science and Technology |
| Volume | 28 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 2014 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Mechanics of Materials
- Mechanical Engineering
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Kinematic errors on helical gear of triple circular-arc teeth. / Xie, Xiao Shun; Yang, Hsueh-Cheng Yang.
In: Journal of Mechanical Science and Technology, Vol. 28, No. 8, 01.01.2014, p. 3137-3146.Research output: Contribution to journal › Article
TY - JOUR
T1 - Kinematic errors on helical gear of triple circular-arc teeth
AU - Xie, Xiao Shun
AU - Yang, Hsueh-Cheng Yang
PY - 2014/1/1
Y1 - 2014/1/1
N2 - 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.
AB - 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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UR - http://www.scopus.com/inward/citedby.url?scp=84906249635&partnerID=8YFLogxK
U2 - 10.1007/s12206-014-0722-1
DO - 10.1007/s12206-014-0722-1
M3 - Article
AN - SCOPUS:84906249635
VL - 28
SP - 3137
EP - 3146
JO - Journal of Mechanical Science and Technology
JF - Journal of Mechanical Science and Technology
SN - 1738-494X
IS - 8
ER -