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Flutter Mechanism of Timoshenko Beams in Supersonic Flow

机译：超声波流动中TIMOSHENKO梁的扑波机制

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摘要

The flutter mechanism for cantilevered beam in supersonic flow is studied based on Timoshenko beam model and piston theory. The partial differential equations governing transverse deflection and rotation angle of the beam are derived by analyzing the finite section of the beam. Based on the mode functions of the unperturbed system, complex natural frequencies are investigated to predict the instability of the beam by Galerkin truncation. The mechanism of both coupled-mode and single-mode flutter caused by the supersonic flow are spotted for different flow velocity with consideration of the shear deformation and rotary inertia in the beam structure by the analytical method. The instability region is discussed by Routh-Hurwitz criterion. The critical Mach number for the panel motion becoming unstable is calculated for given values of the dimensional parameters. (c) 2019 American Society of Civil Engineers.
机译：基于Timoshenko梁模型和活塞理论，研究了超音速流动中悬臂梁的颤动机构。通过分析光束的有限部分来导出控制横梁横向偏转和旋转角的局部微分方程。基于未受干扰的系统的模式功能，研究了复杂的自然频率，以预测Galerkin截断的梁的不稳定性。通过通过分析方法考虑横梁变形和旋转惯性，通过超声波流动引起的耦合模式和单模颤动的机理通过分析方法考虑梁结构中的剪切变形和旋转惯性。 Routh-Hurwitz标准讨论了不稳定区域。针对尺寸参数的给定值计算面板运动的关键马赫编号变得不稳定。 （c）2019年美国土木工程学会。

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  • 来源
    《Journal of aerospace engineering》 |2019年第4期|04019033.1-04019033.8|共8页
  • 作者

    Qian Ying-Jing; Yang Xiao-Dong; Zhang Wei; Liang Feng; Yang Tian-Zhi; Ren Yuan;

  • 作者单位

    Beijing Univ Technol Coll Mech Engn Beijing Key Lab Nonlinear Vibrat & Strength Mech Beijing 100124 Peoples R China;

    Beijing Univ Technol Coll Mech Engn Beijing Key Lab Nonlinear Vibrat & Strength Mech Beijing 100124 Peoples R China;

    Beijing Univ Technol Coll Mech Engn Beijing Key Lab Nonlinear Vibrat & Strength Mech Beijing 100124 Peoples R China;

    Beijing Univ Technol Coll Mech Engn Beijing Key Lab Nonlinear Vibrat & Strength Mech Beijing 100124 Peoples R China;

    Tianjin Univ Dept Mech Tianjin 300072 Peoples R China;

    Space Engn Univ Dept Aerosp & Aeronaut Engn Beijing 101416 Peoples R China;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    Flutter; Timoshenko beam; Supersonic flow; Divergence; Instability;

    机译：扑腾;Timoshenko梁;超音速流动;发散;不稳定;

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