Abstract
Uncertainties in aero elastic analysis are investigated. In aero elastic analysis, we usually find divergence speed or flutter speed by using deterministic equations of motion for elastic wings of aircraft. If any parameter in these equations is sensitive to the critical speed, we should treat it carefully since inaccuracy is inevitable in the production process. Tragic failure may occur if the margin is small. Therefore, it is important to know in the analysis the effects of uncertainties of the critical values when they play a critical role in the design. The sensitivity of parameters in aero elastic analysis is not simple even in linear analysis. It is not always possible to have an analytic form of the sensitivity of uncertainty. In order to evaluate the structural sensitivity of aero elastic phenomena, we have to resort to numerical calculations with uncertain parameters having some random deviations, i.e. the so‐called Monte Carlo simulation. In the present study, the divergence speed and flutter speed of a typical wing section with structural uncertainties are discussed, and some results of calculations with scattering parameters in Gaussian distribution will be presented.
Highlights
In the engineering analysis, uncertainty was firstly introduced in an aircraft landing response after the touch down by assuming the external forces from the runway as random load [4, 5]
It can be thought that a small uncertainty in the structural damping can significantly affect the flutter critical speed when the flutter is in so-called hump mode
The effects of structural uncertainty on aero elastic analysis have been studied on the 2-D system of a typical wing section
Summary
Uncertainty was firstly introduced in an aircraft landing response after the touch down by assuming the external forces from the runway as random load [4, 5]. The most typical analysis in the aeronautical field including randomness is the gust response of aircraft They assumes random gust instead of the discrete one that has a fixed mode shape [10]. The author of this paper has studied an estimation method to find out the condition of in-flight breakups or in-flight collisions of aircraft from the location of structural fragments on the ground [11]. He introduced uncertainties for each fragment falling down through the sky. For the typical type of bending-torsion flutter of aircraft wings, the effect of structural uncertainties has not been studied yet. It is important to see the effects of uncertainty with the structural parameter on the flutter boundary
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