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NN型擺線鋼球行星傳動(dòng)性能分析及模糊可靠性優(yōu)化

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【摘要】:擺線鋼球行星傳動(dòng)是一種新型精密傳動(dòng)形式,具有無回差、承載能力強(qiáng)、嚙合效率高等一系列好的應(yīng)用特性,在精密機(jī)械中具有較好的應(yīng)用前景。本文在單級擺線鋼球行星傳動(dòng)的理論基礎(chǔ)上,深入研究了NN型擺線鋼球行星傳動(dòng)的結(jié)構(gòu)、傳動(dòng)原理、力學(xué)特性、傳動(dòng)效率等,并在此基礎(chǔ)上,,針對該傳動(dòng)機(jī)構(gòu)的整體尺寸和傳動(dòng)效率進(jìn)行了模糊可靠性優(yōu)化,得到了滿意的結(jié)果。 分析了NN型擺線鋼球行星傳動(dòng)的傳動(dòng)原理、結(jié)構(gòu)組成及結(jié)構(gòu)類型,從理論上研究了內(nèi)、外擺線槽實(shí)際齒廓的連續(xù)傳動(dòng)條件,并對兩級嚙合副分別進(jìn)行了運(yùn)動(dòng)分析,推導(dǎo)出鋼球的運(yùn)動(dòng)軌跡及任意時(shí)刻各鋼球的位置矢量方程。 建立了NN型擺線鋼球行星傳動(dòng)的受力模型,分別對兩級嚙合副進(jìn)行了力學(xué)分析和強(qiáng)度分析,推導(dǎo)出最大接觸應(yīng)力的計(jì)算公式。在此基礎(chǔ)上,運(yùn)用模糊可靠性理論對嚙合副進(jìn)行了接觸疲勞強(qiáng)度模糊可靠性分析。 研究了NN型擺線鋼球行星傳動(dòng)的封閉功率流向,分別對四種結(jié)構(gòu)類型進(jìn)行了封閉功率分析,推導(dǎo)出機(jī)構(gòu)內(nèi)部不存在封閉功率的齒數(shù)條件。分析了該傳動(dòng)機(jī)構(gòu)的效率組成,并利用嚙合功率法推導(dǎo)出該傳動(dòng)機(jī)構(gòu)的嚙合效率。 建立了NN型擺線鋼球行星傳動(dòng)模糊可靠性優(yōu)化的數(shù)學(xué)模型,以體積小和效率高為目標(biāo)函數(shù),運(yùn)用多目標(biāo)粒子群優(yōu)化方法對其進(jìn)行了模糊可靠性優(yōu)化設(shè)計(jì),得到了在滿足約束條件下的最佳機(jī)構(gòu)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(xué)位授予單位】:燕山大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2012
【分類號】:TH132.425

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