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运动薄膜的速度对非线性强迫振动的影响研究

邵明月 武吉梅 王砚 应戍狄 赵凡

邵明月, 武吉梅, 王砚, 应戍狄, 赵凡. 运动薄膜的速度对非线性强迫振动的影响研究[J]. 机械科学与技术, 2018, 37(12): 1817-1822. doi: 10.13433/j.cnki.1003-8728.20180087
引用本文: 邵明月, 武吉梅, 王砚, 应戍狄, 赵凡. 运动薄膜的速度对非线性强迫振动的影响研究[J]. 机械科学与技术, 2018, 37(12): 1817-1822. doi: 10.13433/j.cnki.1003-8728.20180087
Shao Mingyue, Wu Jimei, Wang Yan, Ying Shudi, Zhao Fan. The Effect of Moving Membrane Velocity on Nonlinear Forced Vibration[J]. Mechanical Science and Technology for Aerospace Engineering, 2018, 37(12): 1817-1822. doi: 10.13433/j.cnki.1003-8728.20180087
Citation: Shao Mingyue, Wu Jimei, Wang Yan, Ying Shudi, Zhao Fan. The Effect of Moving Membrane Velocity on Nonlinear Forced Vibration[J]. Mechanical Science and Technology for Aerospace Engineering, 2018, 37(12): 1817-1822. doi: 10.13433/j.cnki.1003-8728.20180087

运动薄膜的速度对非线性强迫振动的影响研究

doi: 10.13433/j.cnki.1003-8728.20180087
基金项目: 

国家自然科学基金项目 61671376

西安理工大学博士学位论文创新基金项目 310-252071702

陕西省自然科学基金项目 2018JM5119

陕西省自然科学基金项目 2018JM1028

陕西省自然科学基金项目 2018JM5023

国家自然科学基金项目 11272253

详细信息
    作者简介:

    邵明月(1989-), 博士研究生, 研究方向为薄膜的振动特性, shaomingyue_xaut@163.com

    通讯作者:

    武吉梅, 教授, 博士生导师, wujimei@xaut.edu.cn

  • 中图分类号: O322

The Effect of Moving Membrane Velocity on Nonlinear Forced Vibration

  • 摘要: 研究了运动薄膜的速度对非线性强迫振动的影响。基于Von Karman薄板理论推导出轴向运动薄膜大挠度振动方程,应用Galerkin方法对振动偏微分方程组进行离散,得到系统的状态方程,采用4阶Runge-Kutta法对系统状态方程进行数值求解,利用分岔图分析了薄膜非线性振动特性与速度的关系,得到了薄膜产生混沌的区间和稳定工作区间。通过时程图、相图、Poincare截面图和功率谱分析系统的周期运动和混沌运动。
  • 图  1  轴向运动薄膜力学模型

    图  2  外激励力值与位移分岔图

    图  3  速度和位移分岔图

    图  4  ω=1, γ=0.1, r=1, p=0.4, c=0.294时, 时程图、相图、Poincare截面图和功率谱

    图  5  ω=1, γ=0.1, r=1, p=0.4, c=0.59时, 时程图、相图、Poincare截面图和功率谱

    图  6  ω=1, γ=0.1, r=1, p=0.4, c=0.6时, 时程图、相图、Poincare截面图和功率谱

    图  7  ω=1, γ=0.1, r=1, p=0.4, c=0.636时, 时程图、相图、Poincare截面图和功率谱

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出版历程
  • 收稿日期:  2017-10-10
  • 刊出日期:  2018-12-05

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