| 摘要: | 高接觸率正齒輪對雖具有無軸向力、可降低噪音和振動的優點，但容易受到變形與軸偏差的影響，使得齒面接觸產生齒頂邊緣接觸，進而導致振動和齒面破壞問題。在實務上則多應用齒面修整解決。由齒面修整係人為設計的特定齒形誤差，所以必須事先掌握修整後的齒面接觸特性。然而現有的受載齒面接觸分析方法主要針對靜態負載下的齒面接觸問題，尚無納入動態負載效應的影響。因此本研究將以兩年為期進行規劃，針對完整的齒輪－軸－軸承系統，建立正齒輪對之動態受載齒面接觸分析模型，以探討具齒面修整之高接觸率正齒輪對動態負載下的齒面接觸特性；並同時以其他常用方法進行比對驗證。本計畫為第一年度計畫，將聚焦在動態受載齒面接觸分析基本模型建立，除可以應用修整齒面之瞬時嚙合剛度分析齒輪動態行為特性外，亦能呈現出嚙合齒面的接觸特性。計畫中將僅先考慮兩齒輪之完整齒對嚙合接觸，齒頂邊緣接觸以及軸扭轉變形的影響，而不納入軸與軸承其他變形與誤差，以及磨擦力的影響。研究方法上共分成四個子項目：透過「修整型高接觸率正齒輪對設計與嚙合分析」，建立「動態受載齒面接觸分析模型」以分析不同配置、齒面修整與接觸率狀況下之高接觸率正齒輪對在齒輪系統動態特性以及齒面接觸應力變化狀況，同時以「齒輪動態系統模型分析」以及「MSC.Adams與MSC.Marc軟體協同模擬」，分別進行比較驗證。本計畫成果除可應用在航太高速齒輪設計與開發外，亦可再延續發展螺旋齒輪傳動與行星齒輪傳動機構的動態負載齒面接觸分析，有助於國內高速齒輪與電動車傳動齒輪設計領域之技術提升。 ;Although the high-contact-ratio spur gear pair has the advantages of no axial force and reduced noise and vibration, it is easily affected by deformation and shaft deviation, which causes tip corner contact on tooth surface. As a result, vibration and tooth surface damage occurs. In practice, tooth flank modification is often used. However, the flank modification is an artificially designed tooth profile error, so the contact characteristics of the modified tooth surface must be simulated in advance. However, the existing loaded tooth contact analysis method is mainly aimed at the problem of tooth contact under static load, which has not yet incorporated the effect of dynamic load.Therefore, the aim of the study, as planned for two years, is to develop a dynamically loaded tooth contact analysis model for spur gear pairs based on the complete gear-shaft-bearing system. The tooth contact characteristics of the high-contact-rate spur gear pair having flank modification under dynamic load can be thus explored and also compared by other commonly used methods.This project, the first-year project, will focus on the development of the basic model for dynamically loaded tooth contact analysis. Not only the dynamic behavior of the gear drive can be analyzed by applying the actually calculated instantaneous meshing stiffness of the modified tooth flanks, but also the contact characteristics of the engaged modified tooth surface. The teeth of the gears always in contact, the tip corner contact and the torsional deformation of the shaft are only considered in this project, and the effects of errors, shaft deflection shaft, bearing deformation and friction forces are excluded. The research method is divided into four sub-items. Through "design and gear mesh analysis of modified high-contact-ratio spur gear pairs", a "dynamically loaded tooth contact analysis model" is established to analyze the dynamic characteristics of the gear system and the variation in the contact stress distribution on the tooth surface under the different conditions for gear-bearing arrangement, tooth flank modification and contact ratio. The calculated results are also are compared and verified by the "gear dynamic system model analysis" and "Co-Simulation with MSC.Adams and MSC.Marc software", respectively.The results of this project can be applied to design and develop of aerospace high-speed gears, and can also further to develop the dynamically loaded tooth contact analysis model for helical gear transmission and planetary gear transmission, which is helpful to improve the design technology in the field of high-speed gears and electric vehicle transmission gears. |
