本論文的目的在於以機構基本迴路與接頭特性為基礎，發展出一種新的設計概念，增加機構概念設計方法的彈性與適用範圍，並配合問題實際合成出全新的機構。
　　首先進行現有文獻的整理與分析，將設計方法分為三類，第一類是以機構拓樸構造為基礎；第二類是以模組化概念為基礎，第三類則以經驗與資料庫為基礎，詳細分析前兩類專門針對機構概念設計而產生的設計方法及其適用的範圍與優缺點，並以模組化概念為基礎，機構拓樸構造為工具，提出新的設計概念，稱為基元式設計方法。
　　此方法的核心在於基本單元與幾何限制，基本單元為分解或組合的模組，而幾何限制則為分解或組合的介面。在詳細研究所有概念接頭、簡單接頭、以及撓性件與壓性件所產生的虛軸之後，提出接頭碼以清楚表示由運動對所產生的幾何限制，並以此為基礎發展出適當的圖畫與矩陣表示法，能清楚表示機構的鄰接關係、桿件特性、以及幾何限制，以作為設計重要的工具。
　　設計的分析與合成兩個範疇，皆發展成系統化的設計流程。在拓樸構造分析方面，包括機構抽象化、固定限制放開、基本單元選定、桿件分解、以及幾何限制分解等五個主要步驟，以得到組成機構的所有基本單元；而在拓樸構造合成方面，包括組合單元選定、幾何限制組合、桿件組合、固定限制給定、以及具體化等五個主要步驟，以得到由選定單元組成之所有可行的概念。此外，針對自由度計算的問題，提出了兩種計算方式，皆能正確的計算出機構的有效自由度。設計方法並輔以設計實例，並將結果與文獻比較，以驗證本方法正確性。
　　最後，以撓性傳動與差速機構為例，說明設計方法如何應用於不同類型的設計問題，並合成出許多全新的機構概念，亦證明了本論文所提基元式機構概念設計方法是可行的。

　　The purposes of this dissertation are to develop a new design method based on the geometric constraints of joints and to synthesize new concepts of mechanisms.
　　Basically, there are three types of methodology for conceptual mechanism design: based on the derivation from topological structure, based on the modular concept, and based on the experiences and database. Each type is suitable for different design problems with different advantages and disadvantages. Based on the derivation from topological structure and the modular concept, the work develops a new methodology for conceptual mechanism design by the fundamental entities.
　　By improving graph and matrix representations, modified graph and matrix representations are provided for clearly expressing the fundamental entities and geometric constraints of mechanisms. Accordingly, a new design process for structural analysis and synthesis is proposed by way of decomposing and composing geometric constraints of fundamental entities.
　　Regarding analysis of conceptual mechanism design, there are five main steps: to represent by graphs or matrixes, to remove fixed constraints, to select fundamental entities, to decompose links, and to decompose geometric constraints. And regarding synthesis, there are also five main steps: to select fundamental entities, to compose geometric constraints, to compose links, to assign fixed constraints, and to particularize the results.
　　Two examples, flexible connecting mechanisms and differential transmission mechanisms, are given and proved the propose approach for conceptual mechanism design.

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