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脉动流下两端简支细长圆柱动力学行为分析
引用本文:舒亚锋,武建军,杨永伟,李佳骏.脉动流下两端简支细长圆柱动力学行为分析[J].振动与冲击,2020,39(13):49-56.
作者姓名:舒亚锋  武建军  杨永伟  李佳骏
作者单位:1.兰州大学西部灾害与环境力学教育部重点实验室,土木工程与力学学院,兰州730000;
2.中国科学院近代物理研究所,兰州730000
摘    要:在考虑由附加轴向力引起非线性项基础上,建立了轴向脉动流下两端简支圆柱的非线性动力学模型。为了研究该描述系统的动力学特性,进一步讨论关键参数脉动频率对系统动力学行为的影响。从分岔图可以看出系统在一定的频率范围内可能存在混沌,并且通过三个特定脉动频率下的相图、庞加莱映射、功率谱、以及最大Lyapunov指数等统计特征来分析该系统的动力学特性。该研究结果对反应堆中脉动流引起燃料棒流致振动的安全评估具有指导意义。

关 键 词:非线性项    脉动流    分岔图    动力学特性  

Dynamic behavior analysis for a two-end simply-supported slender cylinder subjected to pulsating flow
SHU Yafeng,WU Jianjun,YANG Yongwei,LI Jiajun.Dynamic behavior analysis for a two-end simply-supported slender cylinder subjected to pulsating flow[J].Journal of Vibration and Shock,2020,39(13):49-56.
Authors:SHU Yafeng  WU Jianjun  YANG Yongwei  LI Jiajun
Affiliation:1.MOE Key Lab of Mechanics on Disaster and Environment in Western China, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, China;  2.Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
Abstract:The nonlinear dynamic model of a two-end simply-supported cylinder subjected to axial pulsating flow was established considering a nonlinear term caused by additional axial force. In order to study dynamic characteristics of the system, effects of key parameter’s pulsating frequency on dynamic behaviors of the system were further discussed. From bifurcation diagram, it was observed that chaos may exist in the system within a certain frequency range. Phase diagrams, Poincare mapping and statistical features, such as, power spectrum and the maximum Lyapunov exponent under 3 special pulsating frequencies were used to analyze dynamic characteristics of the system. It was shown that the results provide a guide for safety assessment of flow induced vibration of a fuel rod caused by pulsating flow in a reactor system.
Keywords:nonlinear term                                                      pulsating flow                                                      bifurcation diagram                                                      dynamic characteristics
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