刮齒機刮削模擬與齒形接觸分析

Simulation of Gear Shaving Machines and Gear Tooth Contact Analysis

林宏政(Hung-Jeng Lin)

國立虎尾科技大學/工程學院/動力機械工程研究所/碩士(2006年)

摘要

刮齒是常用的齒輪精加工方法之ㄧ，主要的原因是它具有快速及精確的加工特性。在實際的齒輪製造時，常常利用冠狀修整的方式，以使得齒輪組在具軸偏差時，其接觸點仍能落於齒面的中央位置附近，以避免齒緣接觸現象的發生，此一方法稱之為隆齒。本文除介紹齒輪刮削運動的基本概念外，並依據齒輪原理及微分幾何的觀念，配合刮齒機台之設定參數與運動模擬，可求得工件齒輪具隆齒作用時之幾何數學模式。本文將比較Litvin所提出之拋物線形隆齒刮齒方法與國內和大工業所生產的刮齒機台作為分析對象，針對刮齒機刮削運動特性作深入探討，並模擬當刮齒機台設定參數改變時對工件齒輪齒形以及隆齒量的影響，之後，進一步分析工件齒輪在具有隆齒作用時在理想裝配與具裝配誤差狀況下之接觸分析、接觸齒印分析與傳動誤差分析。

並列摘要

Gear shaving is commonly used for gear finishing process, due to it has higher efficiency and accuracy. When the gear pair having axis misalignment, crowning is popularly used for the gears making the contact point located at the middle region of the tooth face to keep off the phenomenon of edge contact. Besides introducing the basic concept of the gear shaving motion, this research also uses the theories of gearing and the differential geometry to derive the mathematical models of the shaved gear with crowning by considering the parameters adjustment of the gear shaving machine. This research compares the crowning method proposed by Professor Litvin and the crowning action generated by the shaving machine manufactured by a local company -HOTA. Considering the shaving motion of the two crowning methods, the mathematical models of the work gears are developed. The effects of the parameters of the shaving machine can thus be studied. Then, the tooth contact analysis (TCA), contact pattern analysis, and transmission error analysis are investigated when the work gears are meshing in theoretical condition or with the axis misalignment.

參考文獻

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