三維直傘齒輪齒面接觸分析

Three-Dimensional Tooth Contact Analysis of Straight Bevel Gears

李韋慶(Wei-Ching Li)

指導教授 ： 王培郁

國立虎尾科技大學/工程學院/機械設計工程研究所/碩士(2012年)

摘要

一般齒輪動態接觸分析，其分析時間過長，影響後續的齒輪設計與加工流程。為縮短齒輪接觸分析時間，本論文建立一套三維直傘齒輪接觸分析模組，以齒條刀形式，透過微分幾何及嚙合理論，建構直傘齒輪數學模式，藉由數學計算軟體Mathematica進行程式撰寫，將其計算得到之點資料匯入PRO/E中建構三維模型，再將三維模型匯入HyperMesh進行有限元素模型網格劃分，完成規劃網格模型後匯入Workbench進行材料性質設定、接觸模式選擇、載荷設定與分析控制等，最後以ANSYS進行分析求解運算，得到齒輪於靜態接觸負載下齒面接觸應力。本論文使用齒輪接觸模型，與一般微分幾何計算不同，在齒輪接觸分析上能反映真實齒輪之接觸情形，並在Workbench的結構靜力分析之前處理設定上進行調整，可以短時間完成齒輪接觸分析，比一般動態分析更大幅縮短分析時間。

關鍵字

直傘齒輪 ； 分析時間 ； 結構靜力分析

並列摘要

The common gear dynamic contact analysis, its analysis time has grown, affects the following gear design and the processing flow. In order to reduce the gear contact analysis time, the present paper establishes a set of three dimensional straight bevel gear contact analysis mold train, by the rack cutter form, the penetration differential geometry and the meshing theory, constructs the straight bevel gear mathematical model, carries on the formula composition because of mathematical computation software Mathematica, obtains its computation the spot material to converge in PRO/E to construct the three-dimensional model, again converges the three-dimensional model HyperMesh to carry on the limited element model grid division, after completes the plan grid model to converge Workbench to carry on the material nature hypothesis, the contact pattern choice, the load hypothesis and the analysis control and so on, finally carries on the analysis solution operation by ANSYS, obtains the gear in the static contact load lower teeth surface contact stress. The present paper use gear contact model, is different with the general differential geometry computation, in the gear contact analysis can reflect contact of situation real gear, and before Workbench structure static analysis processes in the hypothesis to carry on the adjustment, may the short time complete the gear contact analysis, compared to general dynamic analysis larger reduction analysis time.

並列關鍵字

Straight bevel gears ； analysis time ； structure static analysis

參考文獻

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