高强度人字齿行星传动系统优化设计

发布时间：2018-03-11 02:26

本文选题：行星传动系统　切入点：人字齿　出处：《安徽理工大学》2012年硕士论文　论文类型：学位论文

【摘要】：人字齿行星传动系统作为主要应用在高速、重载机构中的一种传动部件,具有传动可靠、运转平稳的优点,其结构的优劣直接影响到设备的性能。开展人字齿行星传动系统结构的优化设计和齿轮强度规律的研究,对优化结构尺寸、减轻齿轮重量及提高人字齿强度有重要的理论和现实意义。按照行星传动理论设计了人字齿行星传动系统优化设计数学模型：选取了模数、行星轮各轮的齿数和变位系数、螺旋角、齿宽系数共九个设计变量；分别建立了以实际中心距最小、齿轮总重量最轻为单目标,以实际中心距最小且齿轮总重量最轻为多目标的优化设计目标函数；确定了各种等式和不等式的约束条件。由于进行人字齿行星传动系统优化设计齿轮强度计算非常复杂,而且采用单一的优化设计方法难以获得理想的结果。遗传优化算法的优化解是全局最优,但是求解精度不高,而序列二次规划法的优化解精度较高,但是只是局部最优,故本文提出并设计了采用遗传优化算法和序列二次规划法相结合的混合优化设计方法。首先,利用遗传优化算法进行优化设计,得到的优化设计变量结果作为序列二次规划法的系统初始值；然后,利用序列二次规划法进行优化设计,进一步提高解的精度,从而获得精度较高的全局最优解。在建立的人字齿行星传动系统优化设计数学模型的基础上,设计开发了人字齿行星传动系统优化设计软件。本文结合优化实例进行了优化设计,得出了分别以实际中心距最小和齿轮总重量最轻为单目标,以实际中心距最小且齿轮总重量最轻为多目标的优化设计结果,并对不同的优化设计结果进行了比较、分析。按照本文的混合优化设计方法比单纯的利用遗传优化算法或序列二次规划法,得到的优化设计目标结果要理想的多。为更好地设计出高强度人字齿轮行星传动系统,本文在人字齿行星传动系统优化设计软件中设计开发了人字齿行星传动系统强度计算模块,研究了齿形参数对人字齿行星传动系统强度的影响。通过计算得出的齿顶高系数、顶隙系数和螺旋角与人字齿行星传动系统接触强度安全系数、弯曲强度安全系数和胶合承载能力安全系数的关系图,总结出齿形参数对系统三大强度安全系数的影响规律,为高强度人字齿轮行星传动系统的设计提供理论依据。图[30]表[25]参[42]
[Abstract]:The herringbone planetary transmission system, which is mainly used in high-speed and heavy-duty mechanism, has the advantages of reliable transmission and stable operation. The advantages and disadvantages of the structure directly affect the performance of the equipment. The optimum design of the structure of the herringbone planetary transmission system and the study of the law of gear strength are carried out. It has important theoretical and practical significance to reduce gear weight and increase the strength of herringbone teeth. According to the planetary transmission theory, the mathematical model of the optimal design of the herringbone planetary transmission system is designed. Nine design variables are selected: the modulus, the tooth number and the modification coefficient, the helical angle and the tooth width coefficient of the planetary gear; The optimal design objective function with the smallest actual center distance, the lightest gear weight and the least actual center distance is established, and the constraint conditions of all kinds of equality and inequality are determined. Due to the complexity of gear strength calculation in the optimal design of the herringbone planetary transmission system, it is difficult to obtain ideal results by using a single optimization design method. The optimal solution of genetic optimization algorithm is the global optimum, but the accuracy of the solution is not high. But the accuracy of sequential quadratic programming method is high, but it is only local optimal. Therefore, a hybrid optimization method combining genetic optimization algorithm and sequential quadratic programming method is proposed and designed in this paper. Genetic optimization algorithm is used to optimize the design, and the result of optimal design is used as the initial value of the sequential quadratic programming method, and then, the optimization design is carried out by using the sequential quadratic programming method to further improve the accuracy of the solution. Thus the global optimal solution with high precision is obtained. On the basis of the mathematical model of the optimal design of the herringbone planetary transmission system, the optimal design software of the herringbone planetary transmission system is designed and developed. The optimum design results with the minimum actual center distance and the lightest total weight of the gear as the single objective, and the minimum actual center distance and the lightest total weight of the gear as the multi-objective are obtained, and the results of different optimization design are compared. Analysis. According to the hybrid optimization design method in this paper, the result is much more ideal than using genetic optimization algorithm or sequential quadratic programming method. In order to better design the high-strength herringbone gear planetary transmission system, the strength calculation module of the herringbone planetary transmission system is designed and developed in the optimization design software of the herringbone planetary transmission system. The influence of tooth shape parameters on the strength of the herringbone planetary transmission system is studied. The tooth top height coefficient, the top gap coefficient and the contact strength safety factor between the helical angle and the herringbone planetary transmission system are calculated. The relationship between the safety factor of bending strength and the safety factor of glued bearing capacity is drawn, and the influence of tooth shape parameters on the safety factor of three major strength of the system is summarized. To provide theoretical basis for the design of high strength herringbone gear planetary transmission system. Fig [30] Table [25] Ref [42]
【学位授予单位】：安徽理工大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.425

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