&nbsp;An elastic ring impacting against a rigid wall and rebounding

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (11) : 12-17.

An elastic ring impacting against a rigid wall and rebounding

LI Fengyun 1 WU Zhipeng 1 ZHENG Yuxuan 1 ZHOU Fenghua 1 YU Tongxi1,2

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Abstract

As a kind of typical structural unit, after impacting against a rigid-wall, a thin-walled ring’s coefficient of restitution (COR) is significantly less than 1 under the condition of its full elasticity. The processes of the elastic ring impacting against the rigid-wall under different working conditions were analyzed numerically. The results showed that the ring’s COR is mainly concentrated within 0.76 ~ 0.8, this COR is more smaller under a certain working conditions. Then elastic ring was equivalent to a curved beam. A micro-element analysis was done for the curved beam. Combined with equilibrium equations and geometric equations, the ring’s vibration modal shapes and modal frequencies were solved. Combining with the numerical simulation results, is was shown that within a certain range of material parameters and impacting velocity, the full elastic ring mainly presents its 1st order translation mode and 2nd order free vibration mode in the process of its impacting against a rigid-wall, its COR keeps approximately a constant value.

Key words

elastic ring / coefficient of restitution / vibration / modal analysis

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LI Fengyun 1 WU Zhipeng 1 ZHENG Yuxuan 1 ZHOU Fenghua 1 YU Tongxi1,2. An elastic ring impacting against a rigid wall and rebounding[J]. Journal of Vibration and Shock, 2018, 37(11): 12-17

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