浮筏系统中的碰撞动力学离散模型(1):确定性模型

Discrete Models of Impact Dynamics in Floating Raft(1):Deterministic Model

本文研究浮筏中刚性连结的零部件冲击受损后在有限空间的碰撞振动,应用碰撞动力学理论建立其确定性离散动力学模型,导出确定性系统的碰撞庞加莱映射。实例分析指出,零部件的质量和冲击后外激励的频率不影响零部件与设备之间的碰撞,碰撞主要发生在零部件与筏体之间,而且随着零部件质量的增加碰撞次数发生有限次的增加。冲击后外激励的频率对零部件与筏体之间的碰撞次数有一定的影响。从碰撞庞加莱图可以看出碰撞系统的振动表现为亚谐振动。

The vibro-impact was studied after the rigid connected part of floating raft was damaged. Based on the impact dynamics theories, the deterministic models were built. The impact Poincaré Map for the deterministic system was proposed. As example, the deterministic model was investigated. The impacts between the part and the equipment have not been influenced by the mass of part and the frequency of force. The impacts has been aroused between the part and the raft. The impacts between the part and the raft have been increased by the mass of part and influenced by the frequency of the force. The vib-impact is sub-harmonic vibration from the impact Poincaré Map.