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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More From: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C
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