NN型摆线钢球行星传动性能分析及模糊可靠性优化
发布时间：2018-09-01 18:10
【摘要】：摆线钢球行星传动是一种新型精密传动形式，具有无回差、承载能力强、啮合效率高等一系列好的应用特性，在精密机械中具有较好的应用前景。本文在单级摆线钢球行星传动的理论基础上，深入研究了NN型摆线钢球行星传动的结构、传动原理、力学特性、传动效率等，并在此基础上，，针对该传动机构的整体尺寸和传动效率进行了模糊可靠性优化，得到了满意的结果。 分析了NN型摆线钢球行星传动的传动原理、结构组成及结构类型，从理论上研究了内、外摆线槽实际齿廓的连续传动条件，并对两级啮合副分别进行了运动分析，推导出钢球的运动轨迹及任意时刻各钢球的位置矢量方程。 建立了NN型摆线钢球行星传动的受力模型，分别对两级啮合副进行了力学分析和强度分析，推导出最大接触应力的计算公式。在此基础上，运用模糊可靠性理论对啮合副进行了接触疲劳强度模糊可靠性分析。 研究了NN型摆线钢球行星传动的封闭功率流向，分别对四种结构类型进行了封闭功率分析，推导出机构内部不存在封闭功率的齿数条件。分析了该传动机构的效率组成，并利用啮合功率法推导出该传动机构的啮合效率。 建立了NN型摆线钢球行星传动模糊可靠性优化的数学模型，以体积小和效率高为目标函数，运用多目标粒子群优化方法对其进行了模糊可靠性优化设计，得到了在满足约束条件下的最佳机构参数组合。
[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.
【学位授予单位】：燕山大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.425
本文编号：2217959
[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.
【学位授予单位】：燕山大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.425
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