Dynamics & Design Conference
Online ISSN : 2424-2993
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非対称行列系で発生する自励振動(モード間の連成を考慮した近似特性根)
*嶋立 裕太近藤 孝広宗和 伸行森 博輝谷口 智之
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The effectiveness of a dynamic absorber for self-excited vibration has been known for several years. However, in the case of self-excited vibration, the operating mechanism of a dynamic absorber is still poorly understood. In this paper, a simple and fundamental model with three degrees of freedom (DOFs), which is consisted of a two-DOF system with an asymmetric stiffness matrix and a single dynamic absorber, are considered and the operating mechanism is investigated. As an analytical tool to clarify the operating mechanism, a new type of complex modal analysis is developed for accurately evaluating the energy for each mode. By applying the new method, the damping matrix can be diagonalized exactly in addition to the symmetric mass and stiffness matrices of the system, and the equation of motion for a multi-DOF system can be converted into modal equations for a single-DOF system in the form of real second-order differential equations. From the modal equation, we derive the approximate solutions of the coupled vibration of two modes. However, these approximate solutions are not accurate due to the other modal coupling. In this paper, we derive the more accurate approximate solutions by considering effects of modal coupling.

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