Parametric Excitation in a Self-excited Vibration System : 3rd Report, The Influence of Cubic Non-linearity
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In a self-excited vibration system with the restoring force expressed as the product of a non-linear function of deflection and a periodically variable coefficient, parametric resonances and subharmonic vibrations occur. In the present paper the influence of cubic non-linearity which is considered to induce subharmonic vibrations on such a system is investigated in detail. Approximate solutions of a system with the non-linear restoring force expressed as a cubic function are determined by the previously reported method. Consideration of that system without a self-excitation suggests the occurrence regions of a subharmonic resonance of order 1/2 and parametric resonances of first and second orders. In some numerical examples conforming to the suggestion, the system dealt with in the previous report is also considered in detail.
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関連論文
- Parametric Excitation with an Asymmetric Characteristic in a Self-exciting System
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- 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