Polygonal Deformation of Roll-Covering Visco-Elastic Body in Rolling Contact Systems

存在许多旋转机械系统，其中转子在转子外周与与转子接触的其他系统之间的恒压条件下进行旋转。伴随着系统本身结构元件的变形，生长过程的发展往往在机器中产生强烈的振动，使其无法继续工作。研究了造纸机的光滑辊和纺织机的卷绕系统中一对辊子相互接触并旋转时产生的不稳定振动，并试图分析粘弹性面覆盖在辊子周围的多边形变形现象，阐明其发生机理。在基本分析中，他们将这些系统视为由于橡胶和弹性纱球的粘弹性变形引起的辊间接触问题，并应用拉普拉斯变换和稳定性分析对不稳定区域进行了数值计算，给出了辊和弹性纱球的多边形变形的本质特征。作者还进行了一个实验，以确定分析模型中使用的参数。他们从测试结果中发现，卷覆橡胶的变形恢复特性与时间有关。将理论计算结果与实际机器和实验设备上的观测结果进行了比较，证实两者吻合较好。

There exist many rotatory machine systems in which a rotor is rotating under the condition of a constant pressure between outer circumference of the rotor and the other system being in contact with the rotor. Accompanying the deformation of the structure elements of the system itself, the development of the growth process into a strong vibration is often generated in the machine so that the continuous operatin is not possible any more.The authors investigated the instability vibration generated in a rolling contact systems such as smoother roll of the paper making machine and winder system of textile machine in which a pair of rolls are in contact with each other and are rotating, and they tried to analyze the phenomenon of the polygonal deformation of the viscoelastic surface covering the roll circumfernces and to clarify the occurrence mechanism. In the basic analysis, they regard these systems as contact problem between rolls with retardation due to the viscoelastic deformation of the rubber and the elastic yarn ball, and compute the unstable regions numerically by applying the Laplace transformation and the stability analysis, and show the essential feature with respect to the polygonal deformation of roll and elastic yarn ball. The authors also conducted an experiment to identify the parameters used in the analytical model. They found from the test results that deformation recovery characteristics of the roll-covering rubber are time-dependent. The theoretical results are compared with those observed in the actual machines and the experimental apparatus, and a good agreement between them is confirmed.