自升式平台齿轮齿条强度有限元分析

Strength analysis of rack and pinion of jack-up platform by finite element method

基于有限元软件ANSYS建立某自升式平台升降系统齿轮齿条的三维模型,并计算平台在预压状态下齿轮齿条的应力,分析齿轮齿条在不同啮合位置时的Von mises应力和齿面接触应力的分布情况,并将其与公式计算值进行对比。结果表明:齿轮齿条啮合过程中接触面上应力呈带状分布,最大应力出现在带状区域的两端,带状区域的中部应力相对较小;齿面和齿根是齿轮齿条啮合接触过程中容易失效的部位,升降系统齿面接触应力与齿根弯曲应力偏高,在升降系统的设计中应采取措施降低相应应力或提高材料强度;基于有限元方法的计算结果与公式计算值误差较小,可以作为该齿轮齿条强度分析的依据。

Based on ANSYS software,a three-dimensional model of the rack and pinion of a jack-up platform was built.The distribution of stresses on the rack and pinion was calculated when the platform was under preload condition.By analyzing the Von mises stresses and contact stresses on tooth surface for rack and pinion under different engagement positions,and comparing them with those calculated by the formula,the accuracy of finite element method（FEM） analysis was verified.The results indicate that during the course of meshing,the distribution of surface stresses on the rack and pinion is stripped.Maximum stress occurs at both ends of the ribbon region,and the stress of the middle belt region is relatively small.Tooth surface and tooth root are sites easy to fail.The contact stress at tooth surface and bending stress at tooth root are high in lifting system,and the design of the lifting system should take measures to reduce stress or improve the material strength.The calculation results based on FEM simulation could be used to analyze the strength and direct the design of rack and pinion.