Linear vibration characteristics of a thin ring with rotary acceleration based on wave method

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (23) : 213-218.

LIN Jie,HUANG Dishan

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Abstract

Using Hamilton’s principle, the in-plane linear partial differential dynamic equations of a thin ring with rotary acceleration were established on the basis of Euler-Bernoulli beam theory considering effects of Coriolis force and centrifugal one.The wave method was used to solve the differential equations, and natural frequencies of the ring under its rotating state were computed and compared with those published in literature to verify the correctness of these dynamic equations.Effects of rotating angular acceleration and angular velocity on mode characteristics of the thin ring were analyzed.The study results provided the wave method for calculating linear vibration characteristics of a thin ring with rotary acceleration, and widened the scope of dynamic calculation with the wave method.

Key words

rotary acceleration / thin ring / mode characteristics / wave method

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LIN Jie,HUANG Dishan. Linear vibration characteristics of a thin ring with rotary acceleration based on wave method[J]. Journal of Vibration and Shock, 2019, 38(23): 213-218

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