重载齿轮修形研究

发布时间：2018-03-15 18:39

本文选题：支撑刚度　切入点：内啮合　出处：《湘潭大学》2012年硕士论文　论文类型：学位论文

【摘要】：在机械产品应用的领域和范围越来越广泛的同时，人们对产品的性能要求也越来越高。作为最传统的传动部件之一的齿轮，近年来正朝着高速重载和低速重载的方向发展，因此，对于重载齿轮，其传动的平稳性和承载能力成为齿轮设计者越来越关注的命题。为了能够在不改变齿轮几何尺寸和大幅提高生产成本的前提下保证重载齿轮的传动性能和使用寿命，对齿轮进行适当的齿廓修形和齿向修形是齿轮设计者常用的设计方法。本文围绕重载齿轮中齿廓修形和齿向修形中几个主要修形参数的确定做了以下工作：首先用有限元迭代方法求得齿轮轴轴承的支承刚度，在综合考虑支承刚度和齿轮轴弹性变形的影响下用石川方法求得齿轮的啮合刚度，同时推导了内齿轮当量齿形的几何尺寸以便于石川方法在内啮合中的使用。在此基础上，本文以齿轮啮合过程中啮入时刻的齿轮副的综合弹性变形量作为齿廓修形的最大齿廓修形量，并用石川方法求得这一变形量，从而得到了考虑支承刚度和齿轮轴弹性变形作用下的齿廓最大修形量。在齿向修形上，，考虑了齿轮轮齿啮合时齿厚方向上的接触变形和由于轴和轮齿的弹性变形以及空间几何因素影响而产生的齿轮的歪斜双重因素，从而得到最大鼓形量。得到最大鼓形量的同时以获得最大的轮齿强度而保证互相啮合的两轮齿相切而不相割的原则下求得齿轮修鼓的鼓形中心。然后根据前面得到的齿廓最大修形量、鼓形量、鼓形中心的计算方法，运用Visual C++平台开发齿轮修形计算软件，并用该计算软件计算XE-93型号风电变桨减速器输出轴齿轮齿廓最大修形量、鼓形量以及鼓形中心，同时确定其他一些相关修形参数从而确定齿轮的修形方案，并与国外提供的修形参数对比。确定齿轮修形方案后，在三维软件中建立齿轮模型并导入到有限元分析软件ABAQUS和动力学分析软件ADAMS中进行有限元和动力学分析，得到齿轮修形前后啮入啮出时刻齿轮应力分布云图、齿轮副接触面积随时间变化规律、以及输出轴齿轮配对内齿圈转速随时间的变化规律，并对这些分析数据进行比较。最后，搭建试验台对齿轮进行接触疲劳性试验，验证修形齿轮的可靠性。
[Abstract]:As the fields and scope of mechanical products are more and more extensive, the performance requirements of products are becoming more and more high. As one of the most traditional transmission components, gear is developing in the direction of high speed and heavy load and low speed and heavy load in recent years. So, for heavy-duty gears, In order to ensure the transmission performance and service life of heavy-duty gears without changing the geometric dimensions of the gears and greatly increasing the production cost, the stability and bearing capacity of the gears become a more and more important proposition for the gear designers. Gear profile modification and tooth profile modification are commonly used by gear designers. In this paper, the main modification parameters of tooth profile and tooth modification in heavy-duty gear are determined as follows:. Firstly, the bearing stiffness of gear shaft bearing is obtained by means of finite element iteration method, and the meshing stiffness of gear shaft is obtained by Shi Chuan method under the influence of bearing stiffness and elastic deformation of gear shaft. At the same time, the geometric dimensions of the equivalent tooth profile of the inner gear are deduced to facilitate the use of Shi Chuan's method in the internal meshing. In this paper, the synthetic elastic deformation of the gear pair at the moment of gear meshing is taken as the maximum profile modification of the tooth profile, and the deformation is obtained by Shi Chuan's method. In this way, the maximum modification of tooth profile under the consideration of supporting stiffness and elastic deformation of gear shaft is obtained. Taking into account the contact deformation in the tooth thickness direction during gear gear tooth meshing and the double factors of gear skew caused by the elastic deformation of shaft and gear tooth and the influence of spatial geometric factors, The maximum drum shape is obtained and the drum center of gear repair drum is obtained under the principle of obtaining the maximum gear tooth strength and ensuring the tangent but not cutting of the two gears engaged in each other. Then, according to the calculation method of the tooth profile maximum modification, the drum shape and the drum center, the software of gear profile modification is developed by using Visual C platform. The calculation software is used to calculate the maximum profile modification, the drum shape and the drum center of the output shaft gear of the XE-93 type wind power variable propeller reducer. At the same time, some other relevant modification parameters are determined to determine the modification scheme of the gear. The gear model is established in 3D software and imported into finite element analysis software ABAQUS and dynamic analysis software ADAMS for finite element and dynamic analysis. The stress distribution of the gear before and after the gear modification, the change of the contact area with time, and the variation of the speed of the inner ring of the output shaft gear pair with time are obtained, and the analysis data are compared. The contact fatigue test was carried out on the test rig to verify the reliability of the modified gear.
【学位授予单位】：湘潭大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41;TG61

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