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首页> 外文期刊>Applied Mathematical Modelling >Incremental harmonic balance method for nonlinear flutter of an airfoil with uncertain-but-bounded parameters
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Incremental harmonic balance method for nonlinear flutter of an airfoil with uncertain-but-bounded parameters

机译：参数不确定但有界的机翼非线性颤振的增量谐波平衡方法

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摘要

The limit cycle oscillation of a two-dimensional airfoil with parameter variability in an incompressible flow is investigated using the incremental harmonic balance (IHB) method. The variable parameters, such as the wind speed, the cubic plunge and pitch stiffness coefficients, are modeled as either bounded uncertain or stochastic parameters. In the solution process of the IHB method, the bounded parameters are considered as an active increment. Taking all values over the considered bounded regions of the active parameters provides us with a series of IHB solutions of limit cycle oscillations of the airfoil. With the aid of the attained solutions, the bounds and some statistical properties of the limit cycle oscillations are determined and compared with Monte Carlo simulation (MCS) results. Numerical examples show that the proposed approach is valid and effective for analyzing strongly nonlinear vibration problems with bounded uncertainties.
机译：使用增量谐波平衡（IHB）方法研究了具有可变性的二维翼型在不可压缩流中的极限循环振荡。可变参数（例如风速，立方下降和俯仰刚度系数）被建模为有界不确定参数或随机参数。在IHB方法的求解过程中，有界参数被视为有效增量。取有效参数的有界区域上的所有值，可以为我们提供一系列机翼极限循环振荡的IHB解。借助于所获得的解决方案，确定极限循环振荡的界限和一些统计特性，并将其与蒙特卡洛模拟（MCS）结果进行比较。数值算例表明，该方法对于分析具有不确定性的强非线性振动问题是有效的。

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