Dynamics & Design Conference
Online ISSN : 2424-2993
セッションID: 555
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555 水平支持されたジェフコットロータにおける定常応答 : 回転速度が固有振動数の二倍付近の場合
吉田 直高野 朋幸藪野 浩司井上 剛志石田 幸男
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会議録・要旨集 フリー

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A rotary machine is a significant component of many mechanical systems and it is important to clarify the dynamic characteristics under many rotational conditions. In this paper, we theoretically and experimentally analyze the steady state responses in a horizontally supported Jeffcott rotor produced in the cases when the rotational speed is in the neighborhood of twice the natural frequencies in the horizontal and vertical directions. First, we derive the equations of motion by considering the effects of gravity and the cubic nonlinearity of restoring force by the support condition. These synergistic effects produce the difference between the linear natural frequencies in the vertical and horizontal directions and make the stiffness in the vertical direction asymmetric. Secondly, we perform nonlinear analysis by the method of multiple scales and derive two unstable regions and frequency response curve. These indicate that the nonlinear resonances can be produced in the neighborhood of twice the natural frequencies in the horizontal and vertical directions and the frequency response curve of the resonance near twice the horizontal natural frequency is hardening-type, while the frequency response curve of the resonance near twice the vertical natural frequency is softening-type.
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© 2012 一般社団法人 日本機械学会
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