多階差動式行星齒輪傳動機構具有高功率密度之優點，相當適合高速比之重負載或輕量化傳動機 構設計。但因其結構複雜，不易掌握在構件變形與誤差影響下之嚙合齒面接觸應力特性。 本研究計畫將延續前三年關於單階修整型直齒行星齒輪傳動機構之受載齒面接觸分析模型以及 誤差影響分析、齒面修整與實驗驗證等研究成果，規劃在未來三年內聚焦於多階螺旋行星齒輪傳動機 構之受載齒面接觸分析相關研究主題。在研究課題上將涵蓋： 負載分配：包括各階內之行星齒輪間之負載分配以及各階之間分流的負載分配率。 齒面負載分佈：分析各種修整齒面之齒面負載分佈。 誤差影響分析：考慮各種組裝/加工誤差對齒輪之嚙合位置、傳動誤差、背隙，以及對齒面受載接 觸特性之影響。 齒面修整影響分析：針對螺旋齒輪之特點，建立以展成磨、成形磨等精加方式工之修整齒面數學 模式，以分析各嚙合齒面在有/無誤差下之接觸特性。 本計畫所建立理論模型之分析結果將與有限元素分析軟體比對驗證。計畫之成果將有助於國內傳動產 業建立高端傳動設備設計能力。 ;Multi-stage differential planetary gear drives have the advantage of high power density and therefore are suitable to apply in high gear ration transmission for heavy duty or lightweight requirements. However, it is not easy to grasp the contact stress characteristics of the engaged flanks under the influences of the deformation and errors of the relevant components, because of the complex structure of the drives. Following the research results of the previous project on the single stage of spur planetary gear drives, such as load analysis, influence analysis of errors, flank modification and experimental validation, this three-years-project will focus on development of a computerized loaded tooth contact analysis (LTCA) model for helical planetary gear drives with multi-stage differential design concept. Some following related analysis topics are conducted in the project. Load sharing: the shared loads among the planets within the planet stage as well as the split loads into the two stages are analyzed. Load distribution on various modified flanks is analyzed. Influence analysis of errors: the influences of various assembly and manufacturing errors on the gear meshing, the transmission errors, the backlash and the contact characteristics of loaded tooth are discussed. Influence analysis of flank modification: the mathematical models of the modified helical gears manufactured by generation and profile grinding are established and used for analysis of the contact characteristics in presence of or free of errors. The analysis results from the developed LTCA model will be compared with the FEM results to validate the feasibility of the model. The research results are useful to enhance the design ability of high end transmission equipments.
