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Parametric instability of flexible disk rotating at periodically varying angular speed

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Abstract

Under considering the inertial force of angular acceleration and the shear stress due to the varying rotational speed, parametric instability of a flexible disk rotating at periodically varying angular speed is analyzed via an improved Hill’s method which is suitable for harmonic balance processing. The causation of parametric instability is interpreted innovatively, and new parameter region of instability is found. The analysis shows that the parametric instability occurs when a positive and a negative traveling wave intersect and overlap each other, and each intersection can result in its own instability region. The instability region is enlarged with increasing amplitude of the speed variation, but is reduced by increasing the difference between harmonic numbers of corresponding negative and positive traveling wave. And the shear stress enhances modes interaction of the disk and affects the instability regions considerably.

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Authors and Affiliations

  1. Institute of Mechanical Science and Engineering, Jilin University, Nanling Campus, Changchun, 130025, People’s Republic of China

    Yong-Chen Pei & Qing-Chang Tan

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  1. Yong-Chen Pei
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  2. Qing-Chang Tan
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Correspondence to Yong-Chen Pei.

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Pei, YC., Tan, QC. Parametric instability of flexible disk rotating at periodically varying angular speed. Meccanica 44, 711–720 (2009). https://doi.org/10.1007/s11012-009-9208-0

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  • DOI: https://doi.org/10.1007/s11012-009-9208-0

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