Design method to prevent the pattern formation phenomena in contact rotating systems

防止接触旋转系统中图案形成现象的设计方法

• 批准号: 13650255
• 负责人: KONDOU Takahiro
• 金额: $ 2.24万
• 依托单位: Kyushu University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2002
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13650255/
• 关键词: Pattern Formation Phenomena; Contact Rotating System; Time Delay System; Energy Factor; Model Analysis; Unstable Vobration; Stability Analysis; Optimum Design

In many contact rotating systems used in the field of mechanical engineering, a large vibration often occurs in operation along with a spontaneous growth of deformation of system components, and then a periodic deformation pattern is formed on the peripheral surfaces. The stability of such phenomena is usually analyzed by obtaining the characteristic roots of a linear time delay system. However, the analytical method is not available for a prevention measure of many-degree-of-freedom systems, since a large amount of complicated numerical computation is required. In our previous study, the numerical difficulty was overcome by applying the concept of modal analysis and by separating a characteristic equation of many-degree-of-freedom system into those of one-degree-of-freedom systems for each mode. In addition, the simplified method of stability analysis, which did not need the computation of characteristic roots, was developed by considering the energy balance. The fol- lowing subjects … More were mainly studied to improve the simplified method.1. The simplified method was applied to two practical examples in which the longitudinal bending deformation of shaft was considered. One is a model of three-roll-system which is the most basic model of a paper making machine constructed from many rolls, and the other is a model with Controlled Dumper Roll which is very effective against the pattern formation phenomena. Moreover, by combining the simplified method and the concept of optimum design, an effective method was developed to determine rationally the system parameters which prevent the occurrence of pattern formation phenomena.2. It became clear from our studies that the effect of nonlinearity contained in the system unavoidably had to be considered to get the overall property of the pattern formation phenomena and to devise the countermeasure. As a fundamental study, the nonlinear vibration phenomena generated in a viscoelastic system and a grinding system were investigated. Less

在机械工程领域使用的许多接触旋转系统中，在运行中经常会发生较大的振动，同时系统部件的变形会自发增长，然后在外围表面上形成周期性的变形模式，这种现象的稳定性受到影响。通常通过获取线性时滞系统的特征根来进行分析，但由于需要大量复杂的数值计算，因此解析方法不适用于多自由度系统的预防措施。研究中，通过应用以下方法克服了数值困难模态分析的概念，并通过将多自由度系统的特征方程分解为每个模态的单自由度系统的特征方程，此外，还提出了不需要计算的简化的稳定性分析方法。为了改进简化方法，主要研究了以下几个问题： 1．将简化方法应用于考虑轴纵向弯曲变形的两个实例。的一个模型三辊系统是由许多辊构成的造纸机的最基本模型，另一种是带有受控翻斗辊的模型，它对图案形成现象非常有效，而且通过将简化方法与模型相结合。优化设计的概念，提出了一种有效的方法来合理地设置系统参数，防止图案形成现象的发生。2．图案形成现象的整体性质和作为一项基础研究，对粘弹性系统和磨削系统中产生的非线性振动现象进行了研究。