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渐开线圆柱蜗杆传动承载啮合理论与实验研究

Theoretical and Experimental Research on Loaded Meshing of Involute Cylinder Worm-drive

【作者】 彭泽良

【导师】 秦大同;

【作者基本信息】 重庆大学 , 机械电子工程, 2003, 硕士

【摘要】 在动力传动中蜗杆传动是一种简单的方式。蜗杆传动具有传动比大、体积小、运转平稳、噪音小等特点,在现代工业中应用非常广泛,在机床制造业中,普通圆柱蜗杆传动的应用尤为普遍,并且几乎成了一般低速传动工作台和连续分度机构的唯一传动形式。渐开线圆柱蜗杆是普通圆柱蜗杆中的其中一种,但由于加工这种蜗杆的机床的专用性太强,我国没有广泛发展这种机床,因此我国对渐开线蜗杆的研究还不够深入。本文的中心内容是渐开线圆柱蜗杆承载啮合理论与实验分析。为此,论文在以下几个方面开展研究。1.根据渐开线圆柱蜗杆传动的创成方法,建立了渐开线圆柱蜗杆和蜗轮的接触线方程式、齿面方程式,分析了渐开线圆柱蜗杆传动的刚性啮合特性,如蜗杆与蜗轮啮合时的诱导法曲率、一类界限曲线、二类界限曲线和蜗杆与蜗轮间相对速度方向和接触线方向的夹角对传动性能的影响;2.通过渐开线圆柱蜗杆、蜗轮的齿面方程式,利用IDEAS-5.0软件建立了传动比为1/50的渐开线圆柱蜗杆传动的实体几何模型,在此基础上应用接触有限元方法对该传动进行了弹性接触分析,包括接触区的形状、位置、载荷在瞬时啮合齿对的分配状况;3.考虑到安装误差和载荷作用下的弹性变形等非共轭因素耦合作用,分析了渐开线蜗杆传动在安装时存在中心距误差,轴间相对位置误差,轴间相对夹角误差对其承载啮合的影响;4.从渐开线蜗轮蜗杆传动的啮合效率和润滑条件两个方面对不同传动比的渐开线圆柱蜗杆的传动效率进行理论分析,并通过传动比分别为1/50和6/31的渐开线圆柱蜗杆设计参数得到蜗杆润滑条件的理论分析结果和蜗杆啮合效率、传动效率的变化趋势,同时利用电测法对蜗杆传动的传动效率、润滑油平衡温度进行测试,将测试数据与理论计算结果进行对比分析,得出理论分析结果的正确性。

【Abstract】 The worm-drive provides a simple solution in power transmission application and possesses some characteristics with large drive ratio, small volume and so on. It can operate smoothly and steadily, so its noise is small. The worm-drive is widely used in modern industry, especially the ordinary cylinder worm-drive in machine tool manufacturing sector. Main disadvantages of worm dives are lubrication and wear problems due to relatively high sliding at the tooth contacts. The ordinary cylinder worm-drive has almost become an exclusive selection in general low speed transmission work-platform and continuous graduation mechanism. The involute cylinder worm gear is one of the ordinary cylinder worm gears. Because of the specificity of the machine tool for this worm gear, its machine tool is not extensively developed in our country. The deep research on the involute worm gear is lack in our country. The central content of this thesis is theoretic and experimental analysis on involute cylinder worm gear under the coupling of the load and the mounting errors. The thesis involves mainly in several aspects of this worm drive as follows:1. Tooth surface equations and contact line equations of the involute worm gearing are established according to its machining methodology. Meshing characteristics in rigidity condition are studied. These characters include the inductive normal curvature along the contact line on the worm surface, the first and the second limit lines during the engage of the worm gear, and the influence of the intersect angle between the contact line the relative velocity of the worm and the gear on transmission performance.2. Solid model of the involute worm gearing solid model with drive ratio 1/50 is built by using IDEAS-5.0, then the elastic contact analysis is proceeded on the basis of contact FEM. The dynamic evolution image of the area of the contact zone, the load sharing among instantaneous meshing tooth pairs, the distribution of the contact force, and tooth stress are obtained.3. After considering the coupling of the mounting errors and elastic deformation, the meshing influences of the error of the center distance, the setting parametric error in the axial direction, and the intersect angle between the two axes on transmission performance are investigated.4. On the basis of the engage efficiency and lubricious conditions, theoretical transmission efficiency with the different drive ratios (1/50 and 6/31) of involute cylinder worm gears is analyzed. At the same time, the change trend of engage efficiency and transmission efficiency with different design parameters is discussed. The experimental investigation on transmission efficiency<WP=6>of this worm drive and lubrication oil temperature is carried out using electrometric method. The test results verify the theoretical analysis.

  • 【网络出版投稿人】 重庆大学
  • 【网络出版年期】2004年 01期
  • 【分类号】TH132.44
  • 【被引频次】3
  • 【下载频次】324
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