粘弹性接触研究及其在水润滑橡胶合金轴承中的应用

发布时间：2018-06-12 09:55

本文选题：半解析法 + 共轭梯度法　；参考：《重庆大学》2013年硕士论文

【摘要】：本论文研究了高分子聚合物粘弹性材料的接触力学行为。通过对粘弹性材料蠕变和应力松弛相关特性研究，建立相应的数学、力学模型，分析和计算了粘弹性接触界面的力学行为。新开发的算法能有效避免全解析法和全数值解的弊端，做到快速求解复杂表面的粘弹性接触问题。本论文提出了一种基于半解析法（SAM）的粘弹性接触快速算法。由于蠕变效应具有路径相关性，需计算时考虑前步求解结果。首先用解析的方法得到基本解，然后使用叠加原理得到任意基本解的组合解，并使用共轭梯度法（CGM）和快速傅里叶变换（FFT）求解接触压力。该方法能有效克服解析法只能求解简单边界条件，以及全数值法的计算效率低下的弊端。特别是在粗糙表面接触研究上体现出良好的优越性。通过对比钢球压入三参数固体模型和Maxwell材料的解析解，验证该算法的正确性。进一步，本文采用半解析法（SAM）对单峰体表面、V型脊表面和正弦粗糙表面的粘弹性接触进行了研究。通过分析纹理表面对压力和应力的影响，揭示粘弹性材料破坏机理并实现接触零件的性能优化。并得到结论：表面纹理显著影响接触压力和接触面积；给定一个时刻，光滑表面的接触面积最大；随着时间的增加，，接触压力降低而接触面积增加。然后，本文研究了典型加工表面的粘弹性接触行为，分析了磨削加工实测表面的接触特性，微凸体峰顶部分压力最大，压力随微凸体的分布而呈起伏状。粗糙表面微凸体间的接触会引起接触压力的剧烈震荡，接触区分布在许多不连通区域，随着时间的增加，接触区逐渐联通。最后，本方法用来分析水润滑橡胶合金轴承橡胶中粘弹性材料的接触问题，采用将橡胶合金轴承接触等效为线接触的方法。论文分别对水润滑橡胶合金轴承的工作面形状、硫化橡胶和加载压力等影响因数做了研究，得到不同工况下接触压力分布的特点和变化规律。结果表明：水润滑橡胶合金轴承橡胶硫化之后，弹性模量显著提高，可以有效地提高轴承的负载能力与耐磨性能，确保了极端工况条件下的正常运行。此外，平面型水润滑橡胶合金轴承抗摩擦效果优于凹面型轴承，可以承担更大的压力。
[Abstract]:In this paper, the contact mechanics behavior of viscoelastic materials is studied. Through the study of the creep and stress relaxation properties of viscoelastic materials, the corresponding mathematical and mechanical models are established and the mechanical behavior of the viscoelastic contact interface is analyzed and calculated. The new algorithm can effectively avoid the disadvantages of the full analytical method and the full numerical solution. We can quickly solve the viscoelastic contact problem of complex surfaces.
In this paper, a fast algorithm for viscoelastic contact based on semi analytic method (SAM) is proposed. Due to the path dependence of the creep effect, the result of the forward step is considered when the calculation is needed. First, the basic solution is obtained by the analytic method. Then the combination of the basic solutions is obtained by the superposition principle, and the conjugate gradient method (CGM) and fast Fu Li are used. Ye Bianhuan (FFT) is used to solve the contact pressure. This method can effectively overcome the problem that the analytical method can only solve the simple boundary conditions and the low efficiency of the total numerical method. In particular, it shows good superiority in the rough surface contact study. By comparing the analytical solution of the three parameter solid model and the Maxwell material of the steel ball pressure, the calculation is verified. Further, the viscoelastic contact of the surface of the single peak body, the V type ridge surface and the sine rough surface is studied by semi analytic method (SAM). By analyzing the effect of the texture surface on the pressure and stress, the failure mechanism of the viscoelastic material is revealed and the performance of the contact zero is optimized. The conclusion is that the surface texture is obvious. The contact area of the contact pressure and the contact area is affected. The contact area of the smooth surface is the largest at a given time, and the contact area increases with the increase of time. Then, the viscoelastic contact behavior of the typical surface is studied. The contact characteristics of the surface of the grinding machining, the partial pressure of the top of the micro convex body peak are analyzed. The maximum pressure is fluctuating with the distribution of the micro convex body. The contact between the rough surface of the micro convex body will cause the violent shock of contact pressure. The contact area is distributed in many disconnected regions. With the increase of time, the contact area is gradually connected.
Finally, this method is used to analyze the contact problem of the viscoelastic material in the rubber bearing rubber of water lubricated rubber alloy, and the contact of the rubber alloy bearing is equivalent to the line contact. The influence factors of the working face, vulcanized rubber and loading pressure of the water lubricated rubber bearing are studied in this paper, and the contact is obtained under different working conditions. The characteristics and change rules of pressure distribution show that the elastic modulus of the rubber bearing rubber is improved remarkably after the vulcanization of the rubber bearing rubber, which can effectively improve the bearing capacity and wear resistance, and ensure the normal operation under the extreme working conditions. In addition, the friction effect of the plane type water lubricated rubber alloy bearings is superior to the concave surface. Type bearing, which can bear greater pressure.
【学位授予单位】：重庆大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：O343.3;TH133.3

【参考文献】