Elucidation of Pattern Formation Phenomena Generated in Contact Rotating Systems

1. 将工件在无心磨削过程中的多边形变形现象建模为具有时间滞后的线性系统，并对其进行了理论分析和数值计算。将理论结果与实验结果进行了比较。结果表明，所提出的理论结果可以解释所有的实验结果。结果表明，无心磨削过程非常不稳定。实验研究了由一组金属轧辊组成的轧辊系统中图案形成的现象。在以titan、SCM、SUS、S45C为卷筒材料的实验中，根据材料的易磨损、硬、软等特性，有选择地产生垂直和水平振动。观察了模式现象形成的过程。研究结果对热矫直辊多边形磨损试验装置的设置具有重要意义。实验进一步证实了直流电机产生的闪络现象。然而，这种模式似乎在增长，但在实验中途停止了增长，因此闪络尚未得到证实。我们又做了一次基本的实验，我们又重新开始分析，因为很清楚旋转体的固有频率对图案的形成有影响。由于实验结果与理论结果在以下几点上存在差异，因此将对直流电机产生的电磁力进行检验：(1)在分析结果中，实际电机换向器上出现的四个多边形图案并不明显。(2)在实际机器中只产生均匀多边形变形，不能用分析来解释。将造纸机多级压光辊系统产生的不稳定振动作为一种图案形成现象进行了分析，实验结果与分析结果吻合较好。由于较高的振动模式而形成的模式是显著的。分析了炼钢机热矫直机轧辊的多边形磨损。首先，测量已经废弃的轧辊的形状。然后，对实际热矫直机进行了振动测量。然后建立了轧辊多边形磨损的解析模型。在不久的将来，将提出轧辊多边形磨损的延迟对策，并继续进行详细的分析。少

1. The polygonal deformation phenomena of a workpiece in centerless grinding process were modeled as a linear system with time lag accompanied by grinding and friction, and were analyzed theoretically and computed numerically. The theoretical results were compared with the usual experimental results. As a results, the presented theoretical results can explain all the experimental ones. It was made clear that the centerless grinding process was very unstable.2. Pattern formation phenomena generated in a roll system consisting of a piece of metal rolls were experimentally taken into account. In the experiments using titan, SCM, SUS, and S45C as roll material, the vertical and horizontal vibrations occurred selectively according to the material characteristics like materials easy to wear, hard and soft materials. The process in which the pattern phenomena grew up were observed. The results do a major service to setting of an apparatus for polygonal wear of hot leveler rolls.3. The experim … More ent to confirm the flashover phenomena generated in DC motor was performed. However, the pattern seems to grow up, but the growth stops during an experiment halfway, so the flashover is not yet confirmed. Basic experiments were performed once more, and we started the analysis all over again, since it was made clear that the natural frequencies of rotating body have effects upon the pattern formation. Since disagreement between experimental and theoretical results was found on the following points, the electric force generated in DC motor will be examined : (1) Four polygonal pattern which occurs on the commutator in the actual machine is not remarkably generated in the analytical results. (2) Generation of only even polygonal deformation in actual machine can not be explained by the analysis.4. Regarding the unstable vibration generated in the multi-stage calender roll system of paper making machine as a pattern formation phenomena, the analysis was performed and a good agreement between experimental and analytical results was confirmed. Pattern formations due to higher vibration modes are remarkable.5. The polygonal wear of rolls in hot leveler of steel making machine was analyzed. First, the shape of rolls disused already was measured. Next, the vibration measurement of the actual hot leveler was performed. Then an analytical model for polygonal wear of rolls was presented. Delay countermeasure of polygonal wear of rolls will be proposed in the near future, and the detail analysis will be continued. Less