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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

基本信息

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

项目摘要

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

在机械工程领域中使用的许多接触旋转系统中，在操作中经常发生大的振动沿着着系统部件的变形的自发增长，然后在外周表面上形成周期性的变形图案。这种现象的稳定性分析通常是通过获得一个线性时滞系统的特征根。然而，分析方法不适用于多自由度系统的预防措施，因为需要大量复杂的数值计算。在我们以前的研究中，通过应用模态分析的概念，并通过将多自由度系统的特征方程分离为每个模态的单自由度系统的特征方程，克服了数值困难。此外，考虑能量平衡，提出了不需要计算特征根的稳定性分析简化方法。以下主题 ...更多信息主要研究改进简化方法.将简化方法应用于两个考虑轴纵向弯曲变形的实例。一个是三辊系统模型，它是由多个辊构成的造纸机的最基本模型，另一个是具有受控倾卸辊的模型，它对图案形成现象非常有效。同时，将简化方法与优化设计的思想相结合，提出了一种有效的方法来合理确定系统参数，以防止斑图现象的发生.从我们的研究中可以清楚地看出，必须充分考虑系统中所包含的非线性效应，以获得图案形成现象的总体性质并设计对策。作为基础研究，研究了粘弹性系统和磨削系统中的非线性振动现象。少