Parametric instability analysis of rotating truncated conical shells with different boundary conditions

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (16) : 1-6.

DAI Qiyi1，QIN Zhaoye1，CHU Fulei1，CAO Qingjie2

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Abstract

In this paper, we studied the parametric vibration characteristics of rotating truncated conical shells with different boundary conditions using the Haar wavelet combined with Floquet exponent method methods. The present work is based on the Love first-approximation theory for classical thin shells. The governing equations of motion for the shell are reduced into a system of Mathieu-Hill equations by means of the Haar wavelet method. In consideration of the fact that Bolotin method could not be applied to gyroscopic systems and the multi-scale method limited to small parameters, Floquet exponent method is employed to conduct parametric stability analysis of rotating truncated conical shells. The correctness of present method is validated by comparing the results with those reported in the literature. In addition, numerical results are presented to bring out the influences of rotation speed and semi-vertex angle on the parametric instability regions of rotating conical shells under four different boundary conditions.

Key words

rotating conical shells / parametric instability / boundary conditions / Floquet exponent method

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DAI Qiyi1，QIN Zhaoye1，CHU Fulei1，CAO Qingjie2. Parametric instability analysis of rotating truncated conical shells with different boundary conditions[J]. Journal of Vibration and Shock, 2020, 39(16): 1-6

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