Travelling wave resonance characteristics of a high speed rotating thin short cylindrical shell with sealing teeth in various boundary conditions

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (10) : 20-26.

WANG Yu1，YU Xiao-guang1，LUO Zhong2，XIE Zhi-wen1

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Abstract

The travelling wave resonance characteristics of a highspeed rotating thin short cylindrical shell component with circumferential sealing teeth were studied in various boundary conditions based on the transfer matrix method. The vibration differential equations of the rotating thin cylindrical shell were set up based on the Love’s shell theory, in which centrifugal forces, coriolis forces and inertial forces were involved. Utilizing the continuity of state vectors at the interfaces between subsegments, the transfer matrix method was introduced to derive the transfer matrix of the overall structure. Then, its resonance characteristics were solved by the highprecise integration method in simply supportedsimply supported, clampedclamped, clampedsimply supported, clampedfree and simply supportedfree boundary conditions. The examples’ results show that the firstorder modal vibration occurs in the (1,3) order in clampedfree boundary condition, while the firstorder mode vibrations occur in the (1,4) order in other boundary conditions. The distribution of the first six order modals is also different when the boundary conditions are various, but the vibration modals are mainly presented in circumferential direction in the five boundary conditions. In the speed range of 3×104 r/min，the backward traveling wave frequencies are greater than the forward ones due to the coriolis force with the gradual increase of rotating speed. The influence of different boundary conditions on the resonant characteristics is different, and the traveling wave frequency lines intersect the excitation frequency lines of K= 1 or K= 2 in the vicinity of the operating speed. At the same time, the resonant speed points with a resonance tolerance of less than 10% appear, and it is easier to cause the corresponding order resonance with a smaller resonant tolerance value, so it is necessary to take measures to avoid the occurrence of resonance phenomenon.

Key words

high-speed rotating / thin short cylindrical shell / circumferential sealing teeth / boundary condition / travelling wave resonance

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WANG Yu1，YU Xiao-guang1，LUO Zhong2，XIE Zhi-wen1. Travelling wave resonance characteristics of a high speed rotating thin short cylindrical shell with sealing teeth in various boundary conditions[J]. Journal of Vibration and Shock, 2018, 37(10): 20-26

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