题名

階梯式圓弧形螺旋齒輪對之創成及應力分析

并列篇名

Generation and Stress Analysis of a Circular-Arc Helical Gear Pair with Ladder-Shaped Teeth

作者

陳建發(Chien-Fa Chen);林嘉政(Zih-Yang Lin);黃冠禎(Kuan-Chen Huang)

关键词

階梯式 ; 圓弧形 ; 螺旋齒輪 ; 應力分析 ; Ladder-shaped ; Circular-arc ; Helical Gear ; Stress Analysis

期刊名称

聯大學報

卷期/出版年月

12卷2期(2015 / 12 / 01)

页次

151 - 164

内容语文

繁體中文

中文摘要

本文利用齒輪原理及微分幾何的觀念,推導階梯式圓弧形螺旋齒輪對輪廓曲線數學方程式及應力分析。首先將圓弧形齒條刀之齒面及齒腹分別往內外偏移,並以兩個在節點處相切的圓弧分別與之相切,進行階梯式圓弧形螺旋齒輪對之創成。其次利用有限元素分析軟體ABAQUS/Standard進行齒輪對之應力分析。最後,本文利用數個範例說明齒輪對的設計參數對應力分佈之影響。

英文摘要

Based on the gear theory and the concept of differential geometry, this paper presents the mathematical model of a circular-arc helical gear pair with ladder-shaped teeth. The stress distribution is also investigated using the commercial FEA package, ABAQUS/Standard. Furthermore, several examples are presented to demonstrate the influences of the gear’s design parameters on the stress distribution.

主题分类 人文學 > 人文學綜合
人文學 > 歷史學
基礎與應用科學 > 基礎與應用科學綜合
社會科學 > 社會科學綜合
参考文献
  1. Studer, R. M. (1961). US Patent No.47..
  2. Novikov, M. L. (1956). USSR Patent No.109, 750..
  3. Chen, C. F.,Lin, H. T.,Tsay, C. B.(2001).Mathematical Model and Undercutting Analysis of Modified Helical Gears with Smaller Teeth Number.中國機械工程學會第十八屆全國學術研討會論文集,台北:
  4. Chen, C. F.,Tsay, C. B.(2005).Tooth profile design for the manufacture of helical gear sets with small numbers of teeth.Proceeding of the 2005 International Journal of Machine Tools & Manufacture
  5. Chen, Y. C.,Tsay, C. B.(2002).Stress analysis of a helical gear set with localized bearing contact.Finite Elements in Analysis and Design,38,707-723.
  6. Fan, G.,Zhang, G.(2001).Coupling Cooperation Agent Parallel Designing Development Environment.Journal of Mechanical Engineering,38,73-76.
  7. Kudrjavtsev, V.N.(1966).Epicycloidal Trains.Mashgis.
  8. Litvin, F. L.(1989).Theory of Gearing.Washington D.C.:NASA.
  9. Tsay, C. B.(1988).Helical Gears With Involute Shaped Teeth: Geometry, Computer Simulation, Tooth Contact Anaysis, and Stress Analysis.Journal of Mechanisms, Transmissions, Automation in Design,110,482-486.
  10. Tsay, C. B.,Fong, Z. H.(1989).Tooth Contact Analysis for Helical Gear with Pinion Circular Arc Teeth and Gear Involute Shaped Teeth.Transactions of the ASME,111,278-284.
  11. Zhang, G.,Xu, H.,Long, H.,Kato, M.,Deng, G.(1994).The Double Involute Gear with Ladder-Shaped Teeth.International Gearing Conference
  12. 林文翰(2001)。碩士論文(碩士論文)。新竹,國立交通大學機械工程學系。
  13. 陳建發(2005)。少齒數漸開線螺旋齒輪之齒形設計。機械月刊,齒輪專輯,27-35。