應用拓樸最佳化於工具機結構設計

賴彥伯(Yen-Po Lai)

指導教授 ： 劉德騏

國立中正大學/工學院/機械工程學系/碩士(2015年)

摘要

本研究使用拓樸最佳化方法應用於工具機結構設計程，再應用有限元素軟體分析整機與每個部件在各種運動狀態下的靜態強度分析與動態分析。工具機結構除了承擔機器每一部份的重量外，還要承受由切削所造成的各種力量，而磨齒切削力非常複雜，如何有效鑑別其來源將為本研究的重點項目之ㄧ。
本研究之目標以應用拓樸最佳化設計工具機結構的高剛性與輕量化。首先建立ㄧ有限元素模型，搭配整機模態實驗與磨削力鑑別，與特定磨齒機機台性能相互匹配，進行有限元素模型驗證。再進行拓樸最佳化設計並考慮主軸前端部件不同位置之靜動剛性、重心、重量、特徵點位移量、以及實際鑄造條件，達到高剛性與輕量化之最佳化目標。最後將拓樸最佳化模型與有限元驗證模型進行比對，證明本研究應用拓樸最佳化設計流程於工具機結構設計的可靠性。

關鍵字

有限元素法 ； 拓樸最佳化 ； 工具機

並列摘要

This study using topology optimization applied to the structural design of the machine tool design process, and then use finite element analysis software to the machine and each component of static and dynamic characteristics under various motion states. In addition to bear the weight of each part of the machine, the machine tool structure also required to withstand the forces caused by the cutting, however, grinding force is very complex, therefore, one of the major goal for this study is to identify the maximum cutting force used for design.
The purpose of this study is using topology optimization technique to design the characteristic of machine tool structure involved lightweight and high stiffness. First, build a reliable machine tool finite element model which is validated by modal testing. And considering the static/dynamic stiffness in different spindle location, mass point, weight, displacement of critical point and practical casting condition in the topology optimization technique to achieve the optimization goal of lightweight and high stiffness in the machine tool structure. Finally, compare the optimization results with original FEM model for validating the effectively of the optimization process in this study.

並列關鍵字

Machine Tool ； Finite Element Method ； Topoplogy

參考文獻

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