正交面齿轮传动及其分扭系统动力学分析

发布时间：2018-10-05 09:53

【摘要】：面齿轮传动是一种圆柱齿轮与面齿轮相啮合的传动，它在直升机主减速器分扭传动装置中具有良好的应用前景，因此对面齿轮传动及其分扭系统进行动力学分析十分重要。首先，本文研究了正交面齿轮传动的动力学特性。基于ANSYS对正交面齿轮传动的啮合刚度进行了研究，分析了主要设计参数对啮合刚度的影响。基于集中参数法，建立了正交面齿轮传动的动力学模型，推导了微分方程。分析平均啮合刚度、圆柱齿轮的支撑刚度以及面齿轮的支撑刚度对固有频率的影响。研究了正交面齿轮传动系统的动态响应特性，包括各自由度的时域响应以及动载特性，探讨了输入转速、圆柱齿轮支撑刚度、齿轮传动误差以及输入扭矩对动载系数的影响。结果表明，较小的圆柱齿轮支撑刚度、较小的传动误差以及较大的输入扭矩能够使得正交面齿轮传动的动载荷系数明显下降。其次，本文对正交面齿轮传动分扭系统的动力学特性进行了分析。建立了正交面齿轮传动分扭系统的动力学模型。分析了面齿轮平均啮合刚度、输入轴的弯曲刚度以及扭转刚度对系统固有频率的影响；研究了输入轴的弯曲刚度和扭转刚度以及输入扭矩对系统均载特性的影响。研究结果表明，输入轴的弯曲刚度对系统的均载系数有着较大的影响，相比于输入轴的弯曲刚度，输入轴的扭转刚度对系统的均载特性影响要小很多。同时，当输入扭矩较大时，系统的均载性能较好。为了对理论分析进行验证，，研制了正交面齿轮传动分扭系统均载特性试验台。进行了分扭系统均载特性试验，并对试验数据进行性了分析比较。结果表明，理论分析模型是正确可行的。基于MATLAB，编制了参数化正交面齿轮动力学特性分析软件，包括正交面齿轮传动动力学分析模块和正交面齿轮传动分扭系统动力学分析模块。
[Abstract]:Surface gear transmission is a kind of cylindrical gear meshing with face gear. It has a good application prospect in helicopter main reducer. Therefore, the dynamic analysis of opposite gear transmission and its torsional system is very important. Firstly, the dynamic characteristics of orthogonal face gear transmission are studied. The meshing stiffness of orthogonal face gear transmission is studied based on ANSYS, and the influence of main design parameters on meshing stiffness is analyzed. Based on the lumped parameter method, the dynamic model of orthogonal face gear transmission is established, and the differential equation is derived. The effects of mean meshing stiffness, support stiffness of cylindrical gear and bracing stiffness of surface gear on natural frequency are analyzed. The dynamic response characteristics of orthogonal face gear transmission system are studied, including the time-domain response and dynamic load characteristics of each degree of freedom. The effects of input speed, support stiffness of cylindrical gear, gear transmission error and input torque on dynamic load coefficient are discussed. The results show that the dynamic load coefficient of orthogonal face gear transmission can be obviously decreased by smaller support stiffness, smaller transmission error and larger input torque. Secondly, the dynamic characteristics of the torsional system of orthogonal face gear transmission are analyzed in this paper. The dynamic model of the torsional system of orthogonal face gear transmission is established. The effects of the mean meshing stiffness, the bending stiffness of the input shaft and the torsional stiffness on the natural frequency of the system are analyzed, and the effects of the bending stiffness and torsional stiffness of the input shaft and the input torque on the load sharing characteristics of the system are studied. The results show that the bending stiffness of the input shaft has a great influence on the load sharing coefficient of the system. Compared with the bending stiffness of the input shaft, the torsional stiffness of the input shaft has a much smaller effect on the load sharing characteristics of the system. At the same time, when the input torque is high, the load-sharing performance of the system is better. In order to verify the theoretical analysis, a load sharing test rig for orthogonal face gear drive torsional system was developed. The load-sharing characteristic test of the torsional system was carried out, and the experimental data were analyzed and compared progressively. The results show that the theoretical analysis model is correct and feasible. Based on MATLAB, a parameterized software for analyzing the dynamic characteristics of orthogonal face gear is developed, which includes the dynamic analysis module of orthogonal face gear transmission and the dynamic analysis module of orthogonal face gear drive split torsion system.
【学位授予单位】：南京航空航天大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41

【参考文献】