201 水平支持されたジェフコットロータに発生する1/2次分数調波共振  [in Japanese] 201 1/2-Order subharmonic resonance in Horizontally Supported Jeffcott Rotor  [in Japanese]

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Abstract

This study deal with nonlinear dynamics of a horizontally supported Jffcott rotor. When the rotational speed of the rotor is in the neighborhood of twice the natural frequency, it is expected that 1/2-order subharmonic resonance can be produced. By applying the method of multiple scales to the dimensionless equations of motions, we describe the linear unstable region which corresponds to the bifurcation set of sub-harmonic resonance and theoretically predict the occurence. Furthermore, using a simple apparatus, we experimentally confirm the prediction and clarify the nonlinear characteristics of the frequency response curve. While the frequency responce curve is hard-spring type in the case of the lower resonance in the lateral direction, it is soft-spring type in the case of the higher one. These nonlineaer characteristics correspond to those of the backbone curves clarified in the previous study.

Journal

  • The Proceedings of the Dynamics & Design Conference

    The Proceedings of the Dynamics & Design Conference 2009(0), _201-1_-_201-5_, 2009

    The Japan Society of Mechanical Engineers

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