Pattern Formation Phenomena in Contact Rotating Systems (1st Report, Simplified Method for Stability Analysis and Prevention Measure by Using Energy Factor)

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Abstract

In the field of mechanical engineering, a large number of contact rotating systems are used. While the systems are operating, periodic polygonal deformation patterns are often formed on the peripheral surfaces of rolls due to viscoelastic deformation, plastic deformation, cutting, grinding, wear and so on. Such phenomena are caused by the unstable vibrations generated in time delay systems. In this report, the authors suggest a simplified method for stability analysis by using energy factor, and develop a very efficient and rational measure based on the simplified method to avoid the unstable vibration. The energy factor is derived by applying the modal analysis and represents the intensity of instability of the time delay systems. As the most fundamental example, the simplified stability analysis and the prevention measure are formulated for the contact rotating systems with two- and three-degree-of-freedom. The validity of the present methods is confirmed from the numerical computational results.

Original languageEnglish
Pages (from-to)2121-2128
Number of pages8
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume67
Issue number659
DOIs
Publication statusPublished - Jan 1 2001

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Time delay
Mechanical engineering
Modal analysis
Plastic deformation
Wear of materials

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

Cite this

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abstract = "In the field of mechanical engineering, a large number of contact rotating systems are used. While the systems are operating, periodic polygonal deformation patterns are often formed on the peripheral surfaces of rolls due to viscoelastic deformation, plastic deformation, cutting, grinding, wear and so on. Such phenomena are caused by the unstable vibrations generated in time delay systems. In this report, the authors suggest a simplified method for stability analysis by using energy factor, and develop a very efficient and rational measure based on the simplified method to avoid the unstable vibration. The energy factor is derived by applying the modal analysis and represents the intensity of instability of the time delay systems. As the most fundamental example, the simplified stability analysis and the prevention measure are formulated for the contact rotating systems with two- and three-degree-of-freedom. The validity of the present methods is confirmed from the numerical computational results.",
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