In the present study, fuzzy uncertainty and reliability analysis of aeroelastic aircraft wings are investigated. The uncertain air speed and structural parameters are represented by fuzzy triangular membership functions. These uncertainties are propagated through the wing model using a fuzzy interval approach, and the uncertain flutter speed is obtained as a fuzzy variable. Further, the reliability of the wing flutter is based on the interference area in the pyramid shape defined by the fuzzy flutter speed and air speed. The ratio between the safe region volume and the total volume of the pyramid gives the reliability value. Two different examples are considered—a typical wing section, and a clean wing—and the results are given for various wind speed conditions. The results show that the approach considered is a low-cost but suitable method to estimate the reliability of the wing flutter speed in the presence of uncertainties.

中文翻译：

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气动弹性飞机机翼的模糊不确定性分析与可靠性评估

在本研究中，对气动弹性飞机机翼的模糊不确定性和可靠性分析进行了研究。不确定的风速和结构参数用模糊三角隶属函数表示。这些不确定性通过使用模糊区间法的机翼模型进行传播，并将不确定的颤振速度作为模糊变量获得。此外，机翼颤振的可靠性是基于模糊颤振速度和空气速度定义的金字塔形状中的干扰区域。安全区域体积与金字塔总体积的比值给出了可靠性值。考虑了两个不同的例子——一个典型的机翼截面和一个干净的机翼——并给出了不同风速条件下的结果。