平板颤振导数的参数弹性研究

STUDY ON PARAMETRIC ELASTICITY OF FLUTTER DERIVATIVES OF FLAT PLATE

  • 摘要: 提出了颤振导数的“参数弹性”概念;基于复模态理论,计算了平板颤振导数的平板宽度、质量、质量惯矩、竖弯频率、扭转频率和空气密度6种参数弹性;绘制了8个颤振导数的参数弹性曲线和诺模图,分析了各自特点,获得了无量纲参数对颤振导数参数弹性的影响规律。分析结果表明,新提出的参数弹性具有概念无量纲、简洁、直观、实用特点,为颤振导数参数分析提供了一种新的有效途径。

     

    Abstract: The “parametric elasticity” concept for flutter derivatives is presented.Based on complex mode theory,6 kinds of parametric(i.e.plate width,mass,mass moment of inertia,vertical bending frequency,torsional frequency,air density)elasticity of flat plate flutter derivatives are calculated.Parametric elasticity graphs and nomograms of 8 flutter derivatives are given and their characteristics analyzed.The influences of different non-dimensional parameters on flutter derivatives parametric elasticity are obtained.The analytical results indicate that the newly proposed concept of parametric elasticity is non-dimensional,concise,direct and practical,and is verified to be a new effective approach for the parameter analysis of flutter derivatives.

     

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