蝸桿蝸輪組為空間交錯軸傳動機構，相比於圓柱型蝸桿蝸輪組，雙包絡蝸桿蝸輪組具有較高接觸比、傳動效率高與負載能力大等特點。圓柱型蝸桿蝸輪組在工業中已經大量運用，且參數設計已有相關規範，但雙包絡蝸桿蝸輪組沒有明確的設計準則，導致設計參數取得困難、製造成本過高以及精度難以控制，使得無法量產普及，其優勢也無法得到有效的發揮。 本論文旨在分析ZK型雙包絡蝸桿蝸輪組，應用齒輪原理，根據刀具與工件齒輪交錯軸相對運動關係，建立此型蝸桿蝸輪組之齒面數學模式，並利用蝸桿型滾刀與蝸輪齒面之關係，探討共軛之齒輪組線接觸型式。此外，為了將齒輪組由線接觸型式改為點接觸型式，本文提出三種蝸輪齒面修整方式，將蝸輪齒面進行齒形修整、導程修整以及綜合前述兩者之修整方式，進行齒輪齒面修整。最後，進行無負載下齒面接觸分析，包含接觸軌跡、接觸齒印與傳動誤差等，並探討齒輪組各組裝誤差下對系統的影響。 ;The worm gear set is a spatial crossed axis transmission mechanism, compared to the cylindrical worm drive, the double-enveloping worm drive has the characteristics of higher contact ratio, higher transmission efficiency and larger load capacity. Since cylindrical worm drive have been widely used in industry, and there are relevant specifications for standard parameter design, but the double-enveloping worm drive does not have a clear design standard. The difficulty design of the parameters, production costs stay at a relative high level, and difficult control of precision, contribute to mass production is popular, and its advantages cannot be effectively utilized. The purpose of this study is to analyze ZK-Type double enveloping worm gear set. Firstly, the mathematical model of worm gear set was developed based on the theory of gearing. Based on the relationship between the ZK-Type worm-type hob cutter and the conjugate tooth surface of the worm gear, the line contact of the conjugate gear set were discussed. In addition, in order to change the worm gear set from line contact to point contact, three methods were proposed on the worm gear tooth surface modified including tooth profile modification, lead modification, and double crowning modification. Finally, the contact paths, contact patterns and transmission errors were calculated by unloaded tooth contact analysis. The effects of assembly errors on the contact paths and contact patterns were also investigated and discussed.
