渐开线圆柱直齿轮修形的分析与研究

发布时间：2018-10-09 10:16

【摘要】：摘要：本文运用齿轮啮合原理和数值模拟方法对渐开线直齿轮的修形展开研究与分析。目的是探索最理想的齿轮修形效果,从而提高齿轮传动时的承载能力、降低振动和噪音。首先推导出直齿轮的齿廓修形和齿向修形的曲线方程,运用Pro/E软件建立了渐开线直齿轮和修形齿轮的精确参数化模型。运用此模型,只需要输入齿轮的主要参数和修形参数便可以生成标准的齿轮模型,提高了修形齿轮的建模效率。其次,借助ANSYS Workbench,将Pro/E齿轮模型导入有限元软件中进行修形齿轮的接触力学数值实验。设定符合实际工况的边界条件和约束载荷,对齿轮进行瞬态动力学分析,研究齿轮啮合过程中的齿面接触应力变化情况。并运用赫兹公式进行理论分析,比较数值实验和理论分析两者的差异,从而推断数值实验的合理性。通过数值分析得到了齿轮啮合过程的一些基本规律,为齿轮修形奠定了理论基础。本文分析比较了常用的齿轮修形方法,运用有限元对齿廓修形齿轮进行数值模拟。仿真结果表明Walker修形曲线较直线修形曲线具有更好的修形效果：同时得出了不同修形量对齿廓修形齿轮影响的规律。通过数值实验分析发现,轴承间的非对称装配会导致齿轮齿向载荷发生偏载,而现有的鼓形修形不能达到较好的修形效果。于是提出采用二次曲线和三次曲线来进行齿向修形,通过对三种曲线的数值实验分析,结果表明两种新曲线较鼓形曲线都有明显的改善,其中三次曲线的修形效果最好。采用Matlab编写了修形计算程序,此程序能够快速计算出齿轮修形的最大修形量,大大提高了设计效率。
[Abstract]:Abstract: in this paper, the gear meshing principle and numerical simulation method are used to study and analyze the modification of involute spur gear. The aim of this paper is to explore the ideal gear shape modification effect so as to improve the bearing capacity of gear transmission and reduce vibration and noise. First, the curve equations of tooth profile modification and tooth modification of spur gears are derived, and the precise parameterized models of involute spur gears and modified gears are established by using Pro/E software. By using this model, the standard gear model can be generated only by inputting the main parameters and modification parameters of the gear, and the modeling efficiency of the modified gear can be improved. Secondly, the Pro/E gear model is introduced into the finite element software with ANSYS Workbench, to carry out the contact mechanics numerical experiment of the modified gear. The transient dynamic analysis of gear was carried out by setting the boundary conditions and constraining loads in accordance with the actual working conditions, and the change of tooth surface contact stress during gear meshing was studied. The difference between the numerical experiment and the theoretical analysis is compared with the Hertz formula, and the rationality of the numerical experiment is inferred. Some basic laws of gear meshing process are obtained by numerical analysis, which lays a theoretical foundation for gear shape modification. In this paper, the common gear modification methods are analyzed and compared, and the finite element method is used to simulate the gear profile modification. The simulation results show that the Walker profile correction curve has better modification effect than the straight line profile modification curve. At the same time, the law of the influence of different modification quantities on the profile modified gear is obtained. It is found by numerical experiments that the asymmetric assembly between bearings will lead to the bias load of gear teeth, but the existing drum modification can not achieve a better shape modification effect. Therefore, the conic curve and the cubic curve are proposed to modify the tooth profile. Through the numerical experiment analysis of the three curves, the results show that the two new curves are obviously improved compared with the drum curve, among which the cubic curve has the best shape modification effect. In this paper, Matlab is used to program the modification calculation program, which can quickly calculate the maximum modification of gear profile, and greatly improve the design efficiency.
【学位授予单位】：北京交通大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TG61;TH132.417

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