多指标约束下齿轮传动机构模糊可靠性优化设计及评价

发布时间：2018-06-20 22:58

本文选题：齿轮传动 + 多指标约束　；参考：《重庆交通大学》2015年硕士论文

【摘要】：随着石油工业的不断发展,泥浆泵在油田开采中得到了广泛应用,齿轮传动机构作为连接原动机和动力端(泥浆泵)的设备起着举足轻重的作用。工程实际中,泥浆泵工作环境恶劣、震动冲击严重、传动功率较大,这就要求研究人员在设计齿轮传动机构时需充分考虑其工作可靠性和实用性。随着齿轮传动优化设计理论研究的不断深入,发现常规可靠性优化设计中广泛地存在着随机因素和模糊因素,并且有实验验证模糊因素对设计结果有着较大的影响。齿轮的润滑问题是影响其工作性能的重要因素,在润滑问题的讨论中润滑油膜厚度受到较为广泛的关注,一些国际组织和机构也致力于将弹流油膜厚度计算纳入到齿轮传动的设计中。同时为提高齿轮传动的效率,降低其动载荷和动应力,需运用振动理论,在静态优化模型中引入动态性能指标。针对以上问题,本文以模糊数学为基础,将可靠性理论与优化设计方法相结合,以泥浆泵齿轮传动机构为对象,开展在多指标约束下的模糊可靠性优化设计研究,并基于熵权法和层次分析法对齿轮传动系统的设计质量进行模糊综合评判,主要研究工作如下:(1)全面分析影响齿轮传动性能的因素,探讨斜齿轮及弧线圆锥齿轮的体积计算方法,以体积最小为目标函数,选取相互独立且可控制的设计参数作为自变量,考虑最小油膜厚度、临界转速比的影响,根据可靠性理论,建立齿轮传动机构可靠性优化设计数学模型。(2)结合模糊数学理论,研究分析模糊约束转换方法,选取合适的隶属函数对模糊约束条件进行转化,并运用二级模糊综合评判法求解最优水平截集值,得到经过转化的普通约束条件,为下一步优化设计模型的求解打下基础。(3)根据所建模型特点,选取合适的优化设计求解方法,探讨离散型自变量处理的问题。通过运用Matlab遗传算法编程技术,对优化设计模型进行求解,并对所求结果进行分析。(4)深入探讨设计质量评价方法,基于熵值法和层次分析法,将定性、定量分析有效结合,对泥浆泵齿轮传动机构设计质量进行科学的、系统的模糊综合评价。经过上述研究,不仅使齿轮传动机构的体积减小,而且其可靠度、润滑指标、动态性能指标都得到了合理改善,实例分析证明了优化方法的正确性、合理性。
[Abstract]:With the continuous development of petroleum industry mud pump has been widely used in oil field exploitation. Gear drive mechanism plays an important role as the equipment connecting the prime mover and the power end (mud pump). In engineering practice, the working environment of mud pump is bad, the vibration shock is serious, and the transmission power is large, which requires researchers to fully consider its reliability and practicability when designing the gear transmission mechanism. With the development of the theory of gear transmission optimal design, it is found that there are random factors and fuzzy factors in the conventional reliability optimization design, and the fuzzy factors have great influence on the design results. The lubrication problem of gears is an important factor affecting its working performance. In the discussion of lubrication problem, the thickness of lubricating oil film is paid more and more attention. Some international organizations and institutions also work to incorporate the calculation of EHL film thickness into the design of gear transmission. At the same time, in order to improve the efficiency of gear transmission and reduce the dynamic load and stress, the dynamic performance index should be introduced into the static optimization model by using vibration theory. Aiming at the above problems, this paper, based on fuzzy mathematics, combines reliability theory with optimization design method, and takes gear drive mechanism of mud pump as an object to carry out fuzzy reliability optimization design under multi-index constraints. Based on the entropy weight method and the analytic hierarchy process, the design quality of the gear transmission system is evaluated by fuzzy comprehensive evaluation. The main research work is as follows: 1) the factors affecting the gear transmission performance are analyzed comprehensively. The volume calculation method of helical gear and arc bevel gear is discussed. The minimum volume is taken as the objective function, the independent and controllable design parameters are chosen as independent variables, and the effects of minimum oil film thickness and critical speed ratio are considered. According to the reliability theory, the mathematical model of reliability optimization design of gear transmission mechanism is established. (2) combined with fuzzy mathematics theory, the fuzzy constraint conversion method is studied and analyzed, and the appropriate membership function is selected to transform the fuzzy constraint condition. By using the two-level fuzzy comprehensive evaluation method to solve the optimal horizontal cut set value, the transformed general constraint conditions are obtained, which lay the foundation for the solution of the next optimal design model. (3) according to the characteristics of the established model, the appropriate optimization design solution method is selected. The problem of discrete independent variable processing is discussed. By using Matlab genetic algorithm programming technology, the optimization design model is solved, and the result is analyzed. The evaluation method of design quality is deeply discussed. Based on entropy method and analytic hierarchy process, the qualitative and quantitative analysis are effectively combined. The design quality of gear transmission mechanism of mud pump is evaluated scientifically and systematically. Through the above research, not only the volume of gear transmission mechanism is reduced, but also its reliability, lubrication index and dynamic performance index are improved reasonably. The example analysis proves the correctness and rationality of the optimization method.
【学位授予单位】：重庆交通大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TH132.41

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