斜齿轮建模及其受力分析

发布时间：2018-06-03 00:45

本文选题：有限元分析 + 接触　；参考：《东北大学》2012年硕士论文

【摘要】：齿轮系统是机械系统的重要组成部分,其工作性能对整个系统有着至关重要的影响。随着速度和功率的提高,齿轮传动正朝着高速、重载方向发展。其动力学行为的研究便成为国内外学者所关注的课题。本文以一对斜齿轮传动系统为研究对象,运用非线性接触有限元法进行了静态接触分析。然后结合齿轮齿向修形理论,提出斜齿轮的齿向修形(鼓形修整)的方案,并通过仿真对修形的效果进行了验证。最后应用ADAMS对其进行了动力学分析。首先,根据渐开线齿轮啮合原理得到渐开线方程、齿根过渡曲线方程及螺旋线方程,以此为基础在PRO/E中进行斜齿轮的三维建模。其次,将齿轮传动模型导入ANSYS中进行接触有限元分析,通过与经典赫兹接触应力结果的比较,验证ANSYS中进行非线性接触分析的有效性。然后,应用齿轮鼓形修整原理和方法,根据轴心的弯曲变形和齿轮的扭转变形,得出齿轮鼓形修整所需的参数,并在PRO/E中对齿轮进行修形；将修形后的齿轮传动模型进行非线性接触分析,并通过与未修形的分析结果进行对比,验证修形方案的可行性。最后,基于振动理论,建立齿轮传动系统动力学模型的数学方程;研究了齿轮系统振动和噪声的产生机理,将引起齿轮振动噪声的内部原因归结为三种激励,即刚度激励、误差激励和啮合冲击激励,并对它们进行数值模拟；将齿轮传动模型导入ADAMS进行动力响应分析。
[Abstract]:Gear system is an important part of mechanical system, its working performance has a vital impact on the whole system. With the increase of speed and power, gear transmission is developing towards high speed and heavy load. The study of its dynamic behavior has become a topic concerned by scholars at home and abroad. In this paper, the static contact analysis of a pair of helical gear transmission system is carried out by nonlinear contact finite element method. Based on the theory of gear tooth modification, the scheme of tooth modification (drum dressing) of helical gear is put forward, and the effect of modification is verified by simulation. At last, ADAMS is used to analyze its dynamics. Firstly, according to the meshing principle of involute gear, the involute equation, tooth root transition curve equation and helix equation are obtained. Based on this, the three-dimensional modeling of helical gear is carried out in PRO/E. Secondly, the gear transmission model is introduced into ANSYS for contact finite element analysis, and the effectiveness of nonlinear contact analysis in ANSYS is verified by comparing the results of contact stress with classical Hertz contact stress. Then, by applying the principle and method of gear drum dressing, according to the bending deformation of axis center and the torsional deformation of gear, the parameters needed for gear drum dressing are obtained, and the gear shape is modified in PRO/E. The nonlinear contact analysis of the modified gear transmission model is carried out, and the feasibility of the modification scheme is verified by comparing the results with the results of the unmodified gear transmission model. Finally, based on the vibration theory, the mathematical equations of the dynamic model of the gear transmission system are established, and the generating mechanism of the vibration and noise of the gear system is studied. The internal causes of the vibration and noise of the gear system are reduced to three kinds of excitation, that is, the stiffness excitation. Error excitation and meshing shock excitation are numerically simulated, and the gear transmission model is introduced into ADAMS for dynamic response analysis.
【学位授予单位】：东北大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41

【参考文献】