| 摘要: |
| 目的 研究弹性薄壁圆环低速冲击理想弹性柱的碰撞回弹行为。方法 实验方面，使用高速数码显微系统记录铜环冲击 3 种不同橡胶柱的碰撞相互作用的全过程。理论方面，应用模态叠加法和拉格朗日方程法导出圆环约束运动阶段和自由运动阶段的运动控制方程，并建立 2 组方程间的迭代关系，据此描述碰撞相互作用的全过程。结果 碰撞次数随着刚度比的增大而增加，无量纲回弹时间和恢复系数随着刚度比的增大而减小。多次碰撞的临界刚度比随着圆环厚径比的增大而增大。结论 理论方法成功预测了弹性薄壁圆环低速冲击理想弹性柱的碰撞回弹行为，可为防撞结构的几何与材料参数选择，以及实验模态分析中的锤头选择提供理论指导。 |
| 关键词: 弹性圆环 碰撞回弹 弹性柱 多次碰撞 恢复系数 |
| DOI：10.19554/j.cnki.1001-3563.2018.15.001 |
| 分类号:O326 |
| 基金项目:国家自然科学基金（11472240，11532011，11621062） |
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| Collision and Rebound Behavior of Elastic Circular Ring Impinging on Elastic Column |
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YANG Yu-liang, WANG Yong, HUANG Zhi-long
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Zhejiang University, Hangzhou 310027, China
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| Abstract: |
| The work aims to investigate the collision and rebound behaviors of elastic thin-wall circular ring with low velocity impinging on ideal elastic column. In experimental tests, a high-speed digital microscope system was used to record the whole process of collision interaction of brass ring impinging on three kinds of elastic columns. In theoretical aspect, the modal superposition method and Lagrange equation method were applied to derive the governing equations of motion for the constrained motion stage and the free motion stage of the circular ring, respectively. The iterative relationship between the two sets of equations was then established, from which the whole process of collision interaction was described. The number of collisions increased and the non-dimensional rebounding time and coefficient of restitution decreased as the stiffness ratio increased. The critical stiffness ratio of multiple collisions increased with the increase of the thickness-radius ratio of the circular ring. The theoretical method successfully predicts the collision and rebound behaviors of elastic thin-wall circular ring with low velocity impinging on elastic column and can provide some theoretical guidance on the selection of geometric and material parameters in anti-collision structure and the selection of hammer head in experimental modal analysis. |
| Key words: elastic circular ring collision and rebound elastic column multiple collisions coefficient of restitution |
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