在動力傳輸方面應用廣泛的兩種鏈條為滾子鏈與靜音鏈。這兩種鏈條各有各的特性且根據其特性而應用於不同的領域上，滾子鏈適合於低速與高扭力的情況，具有較佳的耐磨耗性，而靜音鏈適合於高速及高傳動效率的需求，並擁有低噪音的優點。本論文的研究內容是以創新產品的理念來設計新的鏈條，把以上兩種鏈條的特性結合在一起，並將其實際應用於自行車鏈條上，進行初步的測試。
本論文提供了兩種設計方案，分別為齒形雙目鏈及齒形單目鏈。設計構想以滾子鏈為結構基礎，加上靜音鏈的齒形概念。本論文根據嚙合曲面理論進行齒形鏈條的運動分析，主要是採用齒面接觸分析方法（Tooth Contact Analysis, TCA）搭配幾何拘束和力量平衡限制條件。
本論文研究結果顯示，齒形雙目鏈主要運動過程為緊邊期、左齒嚙合期、暫時固定期、右齒嚙合期以及固定期。齒形單目鏈模式Ⅰ的運動過程為從緊邊期直接進入固定期，沒有嚙合作用產生。齒形單目鏈模式Ⅱ則是從緊邊期進入嚙合期，接近假設固定點卻沒有真正固定，雖有嚙合產生但是在嚙合初期沒有固定於鏈輪上，形成多鏈目同時嚙合情況。本論文並比較齒形雙目鏈與齒形單目鏈的弦線作用，發現齒形單目鏈模式Ⅱ其弦線作用最低，齒形單目鏈模式Ⅰ次之，而齒形雙目鏈弦線作用是最大。此外，將齒形雙目鏈實際應用於自行車傳動系統上，經過實際運轉測試，且修改變速器上的導輪，確認了齒形雙目鏈可以在自行車上使用。

Two of the most popular chain drives in power transmission applications are roller chains and silent chains. Each of the two types of chains has its characteristic and can be applied to different fields. Roller chains are superior in wear-resistance and they are suitable for low-speed and high-torque applications. Silent chains have the advantage of low noise and are suitable for high-speed and high transmission efficiency applications. This thesis aims at designing new chains by considering the characteristics of both types of chain. Then the innovative chains are applied to bicycle transmissions, and the prototypes are built and tested.
This thesis discusses two kinds of design: double-tooth and single- tooth link plates. Based on conjugate theory, the motion analyses of chains with double-tooth and single-tooth link plates are conducted. These tooth-shaped chains are analyzed by using the techniques of tooth contact analysis with geometric constraints and force constraints incorporated.
The tooth contact analysis shows that a double-tooth link plate undergoes the following five stages: tight-span, left-tooth contact, stationary, right-tooth contact, and fixed stages. For one kind of single- tooth chains, its link plates undergo only tight-span and fixed stages. For the other kind of single-tooth chains, its link plates undergo only tight-span and contact stages. There is no fixed stage in this case, and multiple link plates are in contact with the sprocket. Comparing the chordal actions of double-tooth and single-tooth chains, the single-tooth design is better because its chordal action is smaller. This thesis also reports the application of the double-tooth chains to the bicycle transmission system and shows that it is indeed practical and useable.

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