摘要
将滞变支撑所做的虚功引入到管道的能量方程中,利用Hamilton体系的变分原理,导出了带滞变支撑悬臂输流管的非线性运动方程。进而利用Galerkin法对偏微分方程进行离散,以Matlab为平台编制了带滞变支撑悬臂输流管流致振动的计算程序。通过滞变支撑退化模型与现有文献结果比较,验证了本文模型的有效性;随后,考察了该系统的动力学行为,并分析了滞变支撑刚度对悬臂输流管稳定性的影响。结果表明,滞变支撑悬臂输流管表现出丰富的动力学行为,刚度的变化不仅使使得系统的分叉类型、分叉方式与分叉路径发生了的显著变化,也改变了周期运动的周期数,并使其出现复杂响应的参数范围发生了改变。
Abstract
By introducing the hysteretic forces acting on the pipe into Hamilton’s principle through the principle of virtual work, the nonlinear equations of motion of cantilevered pipes conveying fluid with hysteretic supports are derived. Galerkin’s discretization method is applied to the motion equations, numerical simulation of dynamic responses are performed based on the platform of MATLAB, First,the reasonableness of the hysteretic model has been proved by comparing the results of its degenerate model and the results by other researchers. Then, numerical simulations of dynamic response of system and parametric researches about structural nondimensional stiffness are conducted. Results show abundant dynamic phenomenon of the system, the variety of nondimensional stiffness can lead to the changes of bifurcation style, bifurcation path, period number and parameter range.
关键词
流致振动 /
滞变支撑 /
悬臂输流管 /
结构稳定性
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Key words
fluid-induced vibration /
hysteretic supports /
cantilevered pipes conveying fluid /
the structural stability
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黄茜;臧峰刚;张毅雄;叶献辉;蔡逢春.
带滞变支撑悬臂输流管的动力响应分析[J]. 振动与冲击, 2011, 30(11): 8-12
Huang Qian;Zang Feng-gang;Zhang Yi-xiong;Cai Feng-chun;Ye Xian-hui.
The nonlinear dynamic analysis of cantilevered pipes conveying fluid with hysteretic supports[J]. Journal of Vibration and Shock, 2011, 30(11): 8-12
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脚注
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