依據指定增益型態進行齒輪機構之運動合成

Kinematic Synthesis of Geared Mechanisms According to Specified Gain Type

陳彥均(Yen-Chun Chen)

指導教授 ： 陳達仁

國立臺灣大學/工學院/機械工程學研究所/碩士(2009年)

https://doi.org/10.6342/NTU.2009.10438

摘要

本論文旨在運動合成一具有特定增益型態之齒輪機構。利用運動分解的概念，一齒輪機構可被分解為數個單自由度的運動單元，每一運動單元皆用以進行齒輪機構內的運動傳輸。藉由整合每一運動單元內部之輸入與輸出間的運動傳輸所得到的單元增益，單元與單元之間的拓墣介面，以及齒輪機構在指定其輸入與輸出桿之後所得到的運動傳輸路徑，齒輪機構的整體增益則得以決定且可表示為齒數比的連乘積形式。整體增益按照其齒數比的形式可分類為普通型、相減型以及分式型等三種型態。而一具有同軸條件的齒輪機構是指該機構在指定輸入與輸出桿後其輸入對或輸出對具有藉由同軸重置而改變的可能性。對於不具有同軸條件的齒輪機構或具有但不使用該同軸條件來重置輸入對或輸出對的齒輪機構，其所得到之整體增益稱為原始型整體增益。而對於一齒輪機構的輸入對或輸出對藉由其旋轉對的同軸重置而發生改變，其對於齒輪機構之整體增益的影響也被加以探究，並將改變之輸入對或輸出對與整體增益之間的關係整理成一系列的規則。藉由這些規則，則改變輸入對或輸出對之後其齒輪機構的整體增益亦可被得到，並將此類型之整體增益定義為衍生型整體增益。根據其所可能產生的原始型與衍生型整體增益之增益型態，可將一自由度至六桿與二自由度至七桿的齒輪機構加以分類，則依據一特定增益型態之齒輪機構的運動合成亦得以執行。

關鍵字

行星齒輪 ； 運動合成 ； 運動分解 ； 增益

並列摘要

In this paper, based on the internal conversions of each fractionated KUs, the global gain in terms of product of gear ratios can be predicted by the propagation path and the thin-edge type of common linkage. Also, the variation of global gains due to rearrangement of input/output pair is investigated, and assignment of input and output pairs of GKCs according to specified gain type can be accomplished without forming the redundant links. The coaxial conditions contained in GKCs are identified, and a GKC with coaxial condition is capable of rearranging input/output pair. The GKCs are classified according to the type of coaxial condition. The global gain of the GKCs without coaxial condition and the GKCs with coaxial condition but is not applied to rearranging the input/output pair are defined as generic global gains. The formulation of the generic global gains are carried out by the type of propagation path and the internal conversion of each fractionated KUs, and the classification of the geared mechanisms is obtained according to the gain types, ordinary, subtractive, fractional. Rules for the variation of global gain due to the rearrangement of input/output pair are established. The global gain of GKC with rearranged input/output pair are defined as derived global gains and can be easily obtained by applying the rules. Several exemplary design of ground-adjacent input and output links geared mechanisms with desired gain type are provided for the illustration of the proposed methodology. Thus, numerous atlas of GKCs are substantially utilized in the kinematic synthesis of geared mechanisms.

並列關鍵字

geared kinematic chain ； kinematic synthesis ； kinematic fractionation ； gain

參考文獻

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