圆柱正弦活齿传动力学分析和模态仿真

发布时间：2018-04-26 11:02

本文选题：圆柱正弦活齿减速器 + 主曲率　；参考：《燕山大学》2012年硕士论文

【摘要】：随着现代科技的飞速发展，减速器逐步趋向小型化、高速化、高可靠度化。微型减速器在航天、能源、交通等重要部门的应用越来越广泛。圆柱正弦活齿减速器具有体积小、重量轻、传动比大、润滑性能好等优点，具有广阔的应用前景。本文对圆柱正弦活齿减速器主要构件进行了受力分析和模态仿真研究。首先，依据主动轴和壳体正弦滚道的齿廓方程，对正弦滚道齿面做了仿真分析，得出合理的齿廓曲线。计算出正弦滚道和活齿接触点处的主曲率，分析了减速器的结构参数变化对主曲率的影响规律，得到主曲率随活齿位置角的变化规律；推导出活齿与壳体内正弦滚道接触点处的相对滑动速度计算公式，分析了减速器结构参数变化对相对滑动速度的影响规律，结果表明：正弦滚道周期数对相对滑动速度的影响最大；此外，建立了活齿传动的空间力学模型，对活齿进行了受力分析，计算了活齿与主动轴和壳体之间的接触应力。其次，利用三维建模软件Pro/E建立了减速器的三维实体模型，验证了壳体和导架模型的正确性。应用有限元分析软件ANSYS对减速器进行了模态分析，，给出了减速器的低阶固有频率以及相应的各阶振型图。分析了不同工况下减速器的模态变化；结果表明：在减速器轴线垂直于地面的工况下，一阶固有频率最低。最后，结合深井采油的实际工作环境，给定具体的工作参数，设计出满足工作条件的减速器模型，并利用ANSYS Workbench对模型进行了静力分析，结果表明：减速器模型满足实际工作条件，参数与结构设计结果可行。
[Abstract]:With the rapid development of modern science and technology, reducer tends to miniaturization, high speed and high reliability. Micro-speed reducers are more and more widely used in aerospace, energy, transportation and other important departments. Cylindrical sinusoidal gear reducer has many advantages, such as small volume, light weight, large transmission ratio and good lubricity. In this paper, the force analysis and modal simulation of the main components of cylindrical sinusoidal movable teeth reducer are carried out. Firstly, according to the tooth profile equations of the driving shaft and the shell sinusoidal raceway, the tooth surface of the sinusoidal raceway is simulated and analyzed, and the reasonable tooth profile curve is obtained. The principal curvature of sinusoidal raceway and contact point of movable teeth is calculated, and the influence of structural parameters of reducer on principal curvature is analyzed, and the variation of principal curvature with the position angle of movable teeth is obtained. A formula for calculating the relative sliding velocity at the contact point of sinusoidal raceway between the movable teeth and the shell is derived, and the influence of the structural parameters of the reducer on the relative sliding velocity is analyzed. The results show that the sinusoidal raceway cycle number has the greatest influence on the relative sliding velocity, in addition, the spatial mechanical model of the movable tooth transmission is established, and the force analysis of the movable tooth is carried out, and the contact stress between the movable tooth and the active shaft and shell is calculated. Secondly, the 3D solid model of the reducer is established by using the 3D modeling software Pro/E, which verifies the correctness of the shell model and the guide model. The modal analysis of the reducer is carried out by using the finite element analysis software ANSYS. The low order natural frequency of the reducer and the corresponding modes of the reducer are given. The modal changes of the reducer under different working conditions are analyzed and the results show that the first order natural frequency is the lowest under the condition that the axis of the reducer is perpendicular to the ground. Finally, considering the actual working environment of deep well oil production and given the specific working parameters, the reducer model satisfying the working conditions is designed, and the static analysis of the model is carried out by using ANSYS Workbench. The results show that the reducer model meets the practical working conditions and the design results of parameters and structures are feasible.
【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】：TH132.41

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