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NN型擺線鋼球行星傳動性能分析及模糊可靠性優(yōu)化

發(fā)布時間:2018-09-01 18:10
【摘要】:擺線鋼球行星傳動是一種新型精密傳動形式,具有無回差、承載能力強、嚙合效率高等一系列好的應用特性,在精密機械中具有較好的應用前景。本文在單級擺線鋼球行星傳動的理論基礎上,深入研究了NN型擺線鋼球行星傳動的結構、傳動原理、力學特性、傳動效率等,并在此基礎上,,針對該傳動機構的整體尺寸和傳動效率進行了模糊可靠性優(yōu)化,得到了滿意的結果。 分析了NN型擺線鋼球行星傳動的傳動原理、結構組成及結構類型,從理論上研究了內(nèi)、外擺線槽實際齒廓的連續(xù)傳動條件,并對兩級嚙合副分別進行了運動分析,推導出鋼球的運動軌跡及任意時刻各鋼球的位置矢量方程。 建立了NN型擺線鋼球行星傳動的受力模型,分別對兩級嚙合副進行了力學分析和強度分析,推導出最大接觸應力的計算公式。在此基礎上,運用模糊可靠性理論對嚙合副進行了接觸疲勞強度模糊可靠性分析。 研究了NN型擺線鋼球行星傳動的封閉功率流向,分別對四種結構類型進行了封閉功率分析,推導出機構內(nèi)部不存在封閉功率的齒數(shù)條件。分析了該傳動機構的效率組成,并利用嚙合功率法推導出該傳動機構的嚙合效率。 建立了NN型擺線鋼球行星傳動模糊可靠性優(yōu)化的數(shù)學模型,以體積小和效率高為目標函數(shù),運用多目標粒子群優(yōu)化方法對其進行了模糊可靠性優(yōu)化設計,得到了在滿足約束條件下的最佳機構參數(shù)組合。
[Abstract]:Cycloidal steel ball planetary transmission is a new type of precision transmission, which has a series of good application characteristics, such as no return error, strong bearing capacity, high meshing efficiency and so on, so it has a good application prospect in precision machinery. Based on the theory of single-stage cycloidal ball planetary transmission, the structure, transmission principle, mechanical properties, transmission efficiency and so on of NN type cycloidal ball planetary transmission are studied in this paper. The fuzzy reliability optimization of the whole size and transmission efficiency of the transmission mechanism is carried out, and the satisfactory results are obtained. The transmission principle, structure composition and structure type of NN cycloidal ball planetary transmission are analyzed. The continuous transmission conditions of the actual tooth profile of the inner and outer cycloid slots are studied theoretically, and the kinematics of the two stage meshing pairs are analyzed respectively. The motion path of steel ball and the position vector equation of steel ball at any time are derived. The mechanical model of NN cycloidal ball planetary transmission is established. The mechanical analysis and strength analysis of the two-stage meshing pair are carried out, and the formula for calculating the maximum contact stress is derived. On this basis, the fuzzy reliability analysis of contact fatigue strength of meshing pairs is carried out by using fuzzy reliability theory. The closed power flow direction of NN cycloidal ball planetary transmission is studied. The closed power analysis of four structural types is carried out, and the tooth number condition without closed power in the mechanism is deduced. The efficiency composition of the transmission mechanism is analyzed, and the meshing efficiency of the transmission mechanism is deduced by the meshing power method. A mathematical model of fuzzy reliability optimization for NN cycloidal ball planetary transmission is established. Taking small size and high efficiency as objective function, fuzzy reliability optimization design is carried out by using multi-objective particle swarm optimization method. The optimal combination of mechanism parameters is obtained under the constraint condition.
【學位授予單位】:燕山大學
【學位級別】:碩士
【學位授予年份】:2012
【分類號】:TH132.425

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