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基于有限元法的TI蜗杆副传动强度及热分析

Analysis of Transmission Strength and Thermal for TI Worm-gearing Based on Finite Element Method

【作者】 冯景莉

【导师】 孙月海;

【作者基本信息】 天津大学 , 机械设计及理论, 2007, 硕士

【摘要】 基于齿轮啮合、轮齿接触分析及传热学理论,利用有限元分析研究方法,对TI蜗杆副及ZC1蜗杆副的传动强度及轮齿温度分布进行了系统分析。通过探讨一般实体的三维造型技术,提出了基于虚拟制造技术及齿轮加工范成法实现ZC1蜗杆副有限元建模的构建方法;以pro/e造型软件和ansys分析软件为技术平台,根据蜗杆副的数学模型及构造特点,获得了有益于有限元分析的蜗杆副有限元模型,为TI型与ZC1型蜗杆传动强度的比较分析建立了基础。基于三维弹性接触有限元法,探讨了一定载荷条件下,选用传统材料副时,TI蜗杆传动的啮合接触特点及应力分布状态;分析了相同设计参数下不同材料副TI蜗杆传动接触性能的差异;对不同载荷作用下的硬齿面副TI蜗杆传动齿间载荷分配进行了研究;并对基本相同条件下ZC1型与TI型蜗杆传动的承载能力进行了比较分析。研究结果表明,与ZC1型圆柱蜗杆传动相比,TI型环面蜗杆传动的瞬时接触齿对多,齿间载荷分配相对均匀,轮齿最大接触应力小。运用传热学的基本知识,借鉴一般热系统的分析方法,建立了蜗杆减速器热系统模型;借助热电比拟原理,应用热网络方法模拟减速器热态网络,并建立了蜗杆传动系统的热网络图;数值计算得到给定中心距条件下蜗杆减速器的温度场分布,探讨了利用蜗杆减速器表面温度预测减速器效率的方法;基于热网络法获得的边界条件,通过有限元法分析了蜗杆副轮齿的温度场分布,验证了热网络分析方法的可靠性及有效性。

【Abstract】 According to the theories of differential geometry and gearing meshing, tooth contact analysis and thermal transmission, the transmission strength of TI and ZC1 worm gearing and tooth temperature are studied systematically by finite element method.Based on the study of three-dimensional building for general solid, the FE model construction approach for ZC1 worm drive is obtained through the combination of virtual manufacture technique and generating cutting method. Considering the mathematic pattern and structure feature, the ZC1 model for finite element analysis is established by molding software and analysis software, which is made a base for further comparison and analysis of the transmission strength of the TI and ZC1 worm gearing.Under a certain load condition, the meshing contact characteristics and stress distribution state of the TI worm gearing with traditional material pair is studied by means of elastic contact analysis. The deference of transmission performance with deferent material pairs is analyzed and the load distribution between gear teeth on harden tooth pairs are discussed in the condition of different loads. The load-bearing capability of ZC1 and TI worm gearing with the same design parameters is carried out for comparison, and the results suggest that, compared to ZC1 cylinder worm gearing, the instantaneous contact tooth of the TI hourglass worm drive is more, the load distribution between engaging gear tooth is relatively uniform, and the maximum contact stress is smaller.Using the analysis method of general thermal system for reference, the heat system model of worm speed reducer is obtained by thermal transfer theory. Meanwhile, on the base of thermal-electricity analogy principle, the thermal network method is applied on the establishment of the speed reducer thermal state chart. Then the temperature field of the speed reducer under certain center distance is calculated, and the method for predicting the transmission efficiency by temperature is discussed. Finally, the finite element method is utilized for analyzing the tooth temperature with the boundary condition obtained from the thermal network results.

  • 【网络出版投稿人】 天津大学
  • 【网络出版年期】2009年 04期
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