Traveling wave resonance characteristics of thin walled cylindrical shells

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (13) : 73-81.

WANG Yu, XIA Xin, YANG Zhihong, YU Xiaoguang

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Abstract

Here, based on the principle of Viogt-Reuss and the transfer matrix method, traveling wave resonance characteristics of thin-walled cylindrical shells with high rotating speed and hard coating damping were studied. Firstly, according to Viogt-Reuss equivalent principle of composite structure, considering the influence of Coriolis force, the vibration differential equation of a thin-walled cylindrical shell with high rotating speed and hard coating damping was established based on Love thin-walled shell theory. Secondly, the transfer matrix method was introduced, the overall transfer matrix of the shell was derived according to relation formulas between state vectors of shell segments. Finally, under boundary conditions of fixed-free, simply supported-simply supported and fixed-fixed, traveling wave resonance characteristics of the shell were solved. The results showed that the rationality of the proposed analysis method is verified through comparing with the data published in literature; the first order modal shape of the static thin-walled cylindrical shell is not affected by hard coating material, but its modal frequency shifts, and the sequence of the first 6 order modes changes with increase in mode order; hard coating material has no effect on modal shape of the shell, but static-state natural frequency values of the shell with hard coating NiCrAlY are higher than those of the shell with hard coating NiCrAlCoY+YSZ; rotating speed has larger effects on the first 6 order traveling wave frequencies of the shell, under action of operating rotating speed and the excitation force with double-the first order modal frequency of the shell, the resonance critical rotating speed point with the resonance margin less than 10% changes with variation of boundary condition and hard coating, the varying of resonance mode with variation of resonance critical rotating speed point is easy to cause the corresponding order modal vibration; hard coating changes traveling wave resonance characteristics of thin-walled cylindrical shells.

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high rotating speed / hard coating damping / thin walled cylindrical shells / travelling wave resonance / Viogt-Reuss principle

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WANG Yu, XIA Xin, YANG Zhihong, YU Xiaoguang. Traveling wave resonance characteristics of thin walled cylindrical shells[J]. Journal of Vibration and Shock, 2021, 40(13): 73-81

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