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Low frequency behaviour of the subsonic doublet lattice method

机译:亚音速双峰晶格方法的低频行为

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摘要

The results of the subsonic doublet lattice method (DLM), i.e. generalised unsteady aerodynamic forces (GAFs) at a set of reduced frequencies, are often used as input to the solution of the flutter equation. Solutions of the flutter equation are usually required at many more reduced frequencies than GAFs are calculated for by the DLM and some form of interpolation is therefore required. In the p-k formulation of Rodden, Harder and Bellinger, the imaginary part of the GAFs appear as Q~I/k, i.e. the imaginary part of the GAFs divided by the reduced frequency. In the case of real (i.e. non-oscillatory) roots of the flutter equation, the solution is determined entirely by the steady GAFs and the limiting value of Q~I/k at zero frequency. This is also true of the g-method of flutter solution as the two formulations are equivalent at k = 0. Expressions are derived for calculating the limiting values of Q~I/k directly from the DLM, thereby making the real roots independent of the interpolation of the GAFs. The exact way in which the low frequency DLM results are interpolated has a small effect on the interpolation quality in the case of the p-k flutter equation, whereas it has a significant qualitative effect on the results of the g-method of flutter solution of Chen.
机译:亚音速双峰晶格法(DLM)的结果,即一组降低频率下的广义非定常空气动力(GAF),通常用作颤振方程解的输入。颤振方程的解通常需要的频率要比DLM为GAF计算的频率要低得多,因此需要某种形式的插值。在Rodden,Harder和Bellinger的p-k公式中,GAF的虚部显示为Q〜I / k,即GAF的虚部除以降低的频率。对于颤动方程的实根(即非振荡根),解完全由稳定的GAF和零频率下的Q〜I / k极限值决定。扑扑溶液的g方法也是如此,因为这两个公式在k = 0时是等效的。直接从DLM导出用于计算Q〜I / k极限值的表达式,从而使实根独立于DLM。 GAF的插值。在p-k扑动方程的情况下,低频DLM结果的精确插值方式对插值质量的影响很小,而对Chen的扑动方法的g方法结果具有重大的定性影响。

著录项

  • 来源
    《The Aeronautical Journal》 |2005年第1096期|p.285-291|共7页
  • 作者

    L. van Zyl;

  • 作者单位

    Defencetek Pretoria South Africa;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 航空;
  • 关键词

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