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正交面齿轮传动及其分扭系统动力学分析

The Dynamic Analysis of Orthogonal Face Gear Transmission and Torque-split Transmission System

【作者】 张乐

【导师】 朱如鹏;

【作者基本信息】 南京航空航天大学 , 机械设计及理论, 2012, 硕士

【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】 The face gear drive is formed by an involute pinion and conjugated face gear. The application inhelicopter is widely, so it’s very important to do the research of the dynamic analysis of torque-splitface gear transmission system.The dynamic characteristic of orthogonal face gear transmission was studied. Based on ANSYS,the meshing stiffness of orthogonal face gear was researched, including the influence of tooth width,the modulus and the pressure angle. Based on the lumped mass method, the vibration model oforthogonal face gear transmission was built, and the dynamic equations were performed. The naturalfrequency was calculated, and the influence of the average meshing stiffness, the brace stiffness of thepinion and the face gear to the natural frequency was studied. The equations were solved byRunge-Kutta method. The dynamic performance was researched, including the time-domain responseof each freedom, and the dynamic load coefficient, and the influence of input rotation speed, the bracestiffness of pinion, the transmission error and the input torque to the dynamic load coefficient. Theresult shows that the dynamic load coefficient will be decreased when the brace stiffness of pinion andthe transmission error is small.Based on the lumped mass method, the dynamic model of orthogonal torque-split face geartransmission system was built, including the torsional vibration and the transverse movement.According to the dynamic model, the dynamic equations were performed. The natural frequency ofthe system was solved, and the influence of the meshing stiffness of face gear, the bending stiffnessand torsional stiffness of the input shaft to the natural frequency was studied. The bending stiffnessand torsional stiffness of the input shaft to the load sharing coefficient of the system were researched,and the result shows that he bending stiffness of input shaft has great influence to the characteristic ofload sharing, meanwhile, the influence of the torsion stiffness of the input shaft is small, and thebigger input torque would result in the better load sharing.The testing facility of the torque-split face gear transmission system was designed. Theexperiment was done and the experiment data wad processed to be compared to the theoretical model.The result shows that the theoretical model is correct.Based on MATLAB, the analysis software of the dynamic of face gear system was written.

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