史都華平台(Stewart platform)的工作空間因其複雜、難以分析與設計，一直是其發展上的重大瓶頸。本研究以史都華平台用於工具機為主題，針對三軸及五軸工作空間的圖示方法及工作空間的設計提出簡化的概念，以助於使用者選用適當的加工範圍，以及加速設計流程。
本研究利用既有的圖示方法及尋求幾何上的關係，將複雜工作空間合理地簡化成為簡單的幾何形狀加以表示。簡化的結果可以捨去機械效率不高且不規則形狀的部分，且獲得如下的好處：(1) 迅速地在給定設計參數之後畫出簡易工作空間；(2) 可以從簡化式中尋求各設計參數與工作空間大小的定性關係，做為設計的依據；(3) 配合機械效率分析之常態工作空間(normal workspace)，設計桿長運動範圍，突破以往難以選擇設計參數的困難。

利用本研究成果可以快速地分析與設計工作空間。

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