- 學位論文
擺線齒輪減速機之運動誤差及背隙分析與其容差設計
Kinematic Error and Backlash Analysis of a Cycloidal Speed Reducer and Its Tolerance Design
摘要
擺線齒輪減速機因具有高傳動效率、高負荷性、高精密度、高減速比與體積小之優點，所以在工業界上的使用率越來越高。理論上，擺線齒輪應為全齒接觸，每一擺線齒和針齒的接觸皆沒有餘隙產生。但在實際製造上，會因為各零件的製造誤差而產生餘隙或干涉，導致裝配困難。然而修形後的擺線齒輪加上各零件的製造誤差，會使擺線齒輪減速機之精密度降低；因此如何在既定的精密度內獲得修形量及製造容差，是目前亟需探討的主題。 本研究先針對擺線齒輪減速機齒面接觸分析之問題，提出齒面輪廓離散點法，快速且不失準確地計算出擺線齒輪減速機之運動誤差及背隙。接著分析擺線齒輪減速機零件之主要誤差及靈敏度，以提供在設計減速機時，所需注意之限制。最後，本文透過基於可靠度之最佳加工精度設計，以獲得製造擺線齒輪減速機最低成本之設計參數的公差帶；之後，以此公差帶，分析其運動誤差及背隙，驗證所得容差設計之可靠度。此法可用於以最低加工成本製造少量或大量生產擺線齒輪減速機的優點。
並列摘要
The cycloidal speed reducer is increasingly used from motion/torque transmission industry because of its high efficiency, high workload, high precision, high speed reduction ratio and compact characteristics. Theoretically, the teeth of the cycloidal drive should contact with the corresponding pins with no clearance in between. However, this geometric feature often leads to assemble difficulties due to manufacturing error on main components of reducer. Therefore, modification of cycloidal gear is needed in order to allow tolerances for those errors. Nevertheless, modification on cycloidal gear and manufacturing error combined will decrease the precision. The goal of this work is to design the tolerance for the cycloidal drive under a certain of accuracy requirement. In this research, the Tooth Profile Discrete Point Method (TPDPM) is developed to replace the traditional Tooth Contact Analysis (TCA) to carry out kinematic error and backlash analysis of cycloidal speed reducer in order to reduce calculating time. Furthermore, this research renders the essential constraints which can be applied into design by analyzing the main components error and sensitivity. Finally, the design parameters of tolerances with the lowest manufacturing cost as well as the optimal modification is established by using reliability-based optimal design of machining accuracy. The reliability of the design result is also verified by analyzing the samples. This method manifests the advantage of manufacturing the reducer with the lowest cost not only individually but also in mass production.