力学与实践 ›› 2020, Vol. 42 ›› Issue (5): 558-564.DOI: 10.6052/1000-0879-20-037

• 应用研究 • 上一篇    下一篇

轴向变速运动局部浸液单向板的组合共振1)

李红影2), 李欣, 王雪琦   

  1. 东北大学理学院,沈阳 110819
  • 收稿日期:2020-02-10 修回日期:2020-02-20 出版日期:2020-10-08 发布日期:2020-10-22
  • 通讯作者: 2) 李红影,副教授,主要研究方向为板壳结构的非线性振动、流固耦合和振动控制。E-mail: lihy@mail.neu.edu.cn
  • 基金资助:
    1) 国家自然科学基金(11502050)和中央高校基本科研业务专项(N2005009)资助项目

COMBINATION RESONANCES OF AN AXIALLY MOVING UNIDIRECTIONAL PLATE PARTIALLY IMMERSED IN FLUID WITH TIME-DEPENDENT AXIAL SPEED1)

LI Hongying2), LI Xin, WANG Xueqi   

  1. College of Science, Northeastern University, Shenyang 110819, China
  • Received:2020-02-10 Revised:2020-02-20 Online:2020-10-08 Published:2020-10-22

摘要: 论文研究了时变速度作用下局部浸液板的组合共振动力学特性。基于Von Kármán大挠度板理论,考虑流固耦合、轴向张力、轴向时变速度等因素,建立局部浸液板的非线性动力学方程,并应用Galerkin法将进行离散,获得模态坐标上的非线性方程组。分别采用多尺度法和数值方法分析了平均速度、脉动速度、张力等参数对系统非线性动力学特性的影响。结果表明:系统发生组合共振时,展现出复杂的动力学行为;第一阶模态响应幅值远大于第二阶模态响应幅值;平均速度、脉动速度幅值对系统幅频响应曲线的影响较为显著。

关键词: 局部浸液单向板, 时变速度, 流固耦合, 组合共振

Abstract: This paper studies the dynamic characteristics of combination resonances of a plate partially immersed in fluid with a time-dependent axial speed. Based on the theory of von Kármán large deflection plate and taking into account of the effects of the fluid-structure interaction, the tension force and the time-dependent speed, the nonlinear dynamic equations of the plate partially immersed in fluid are established. By applying the Galerkin method to discretize the equations, the nonlinear dynamic equation set in modal coordinates is then obtained. The effects of parameters such as the average speed, the pulsating speed and the tension force on the nonlinear dynamic characteristics of the system are analyzed through the multiple scale method and the numerical method. It is revealed that when a combination resonance occurs, the system shows a complex dynamic behavior, the amplitude of the first order modal response is far larger than that of the second order, and the influence of the average speed and the pulsating speed on the frequency-response curve is quite remarkable.

Key words: unidirectional plate partially immersed in fluid, time-dependent axial speed, fluid-structure interaction, combination resonances

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