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AUTHOR(S): Ivan Kazachkov
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ABSTRACT The paper is devoted to investigation of the nonlinear effects in a system of the coupled longitudinaltorsional parametric vibrations of a rotating rod. The developed and studied mathematical model allowed calculating the resonance conditions of the nonlinear oscillations. In addition, we found the ratio of the parameters that require changing the sign of the coefficient in front of the term defining the possible reverse of torsional vibrations. The latter is a new phenomenon, a special mode, where the parametric action in the form of longitudinal vibrations at one end of the rod (for example, periodic strikes in the rod's end with a certain frequency) can lead to torsional vibrations due to nonlinear parametric interaction of oscillations. In the context of this, the reverse leads to control not only the rotation parameters, but also the direction of rotation, and there are possible torsional oscillations, which can be used in precision mechanics devices. |
KEYWORDS Torsional Vibrations, Nonlinear Effects, Parametric Control, Mathematical Model, Rod Rotating |
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Cite this paper Ivan Kazachkov. (2024) Parametric Control of Longitudinal-Rotational Rod Oscillations and Phenomenon of Excitation of the Nonlinear Reverse Rotational Vibrations. International Journal of Theoretical and Applied Mechanics, 8, 24-29 |
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