Parametric Excitation in the Self-excited Vibration System with Dry Friction : 1st Report, Parametric Resonance
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概要
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An application of solutions of linear Mathieu equation by a new method gives approximate solutions in a parametrically excited self-excitation system with dry friction. Steady solutions and the stability in the regions of parametric resonance of first and second orders are determined. Solutions outside the regions of parametric resonances are approximated by two limit cycles. One corresponds to a stable solution and the other corresponds to an unstable solution. Beyond a certain value of dry friction self-excited vibrations are completely suppressed and a parametric resonance of second order soon disappears, so that only a parametric resonance of first order remains within a certain interval of frequency. Numerical results by the present analysis almost agree with those by Runge-Kutta method and it is seen that the proposed approximate methods have high accuracy.
- 一般社団法人日本機械学会の論文
著者
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Yano Sumio
Faculty Of Engineering Fnkui University
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Yano Sumio
Faculty Of Engineering Fukui University
関連論文
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- Instability of Motion of a Disc Supported by an Asymmetric Shaft in Asymmetric Bearings : Influence of External Damping
- Periodic Solutions and the Stability in a Non-linear Parametric Excitation System
- Suppression Phenomena of Resonant Oscillations in Strongly Nonlinear Systems due to Additional Asynchronous Excitations
- Parametric Excitation in the Self-excited Vibration System with Dry Friction : 2nd Report, In the Neighborhood of the Region of Parametric Resonance
- Parametric Excitation in a Self-exciting System : 1st Report, Behaviors in the Region of Subharmonic Resonance of Order 1/2
- Parametric Excitation in a Self-excited Vibration System : 3rd Report, The Influence of Cubic Non-linearity
- Parametric Excitation in a Self-exciting System : 4th Report, Region of Subsuperharmonic Resonance of Order 2/3
- Parametric Excitation in the Self-excited Vibration System with Dry Friction : 1st Report, Parametric Resonance
- Parametric Excitation in a Self-exciting System : 2nd Report, Behaviors in the Regions of Resonances of Orders 1/3 and 2