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首页> 外文期刊>The Aeronautical Journal >Design of composite helicopter rotor blades to meet given cross-sectional properties
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Design of composite helicopter rotor blades to meet given cross-sectional properties

机译：满足给定截面特性的复合直升机旋翼桨叶的设计

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摘要

This paper examines the design of a composite helicopter rotor blade to meet given cross-sectional properties. As with many real-world problems, the choice of objective and design variables can lead to a problem with a non-linear and/or non-convex objective function, which would require the use of stochastic optimisation methods to find an optimum. Since the objective function is evaluated from the results of a finite element analysis of the cross section, the computational expense of using stochastic methods would be prohibitive. It is shown that by choosing appropriate simplified design variables, the problem becomes convex with respect to those design variables. This allows deterministic optimisation methods to be used, which is considerably more computationally efficient than stochastic methods. It is also shown that the design variables can be chosen such that the response of each individual cross-sectional property can be closely modelled by a linear approximation, even though the response of a single objective function to many design parameters is non-linear. The design problem may therefore be reformulated into a number of simultaneous linear equations that are easily solved by matrix methods, thus allowing an optimum to be located with the minimum number of computationally expensive finite element analyses.
机译：本文研究了满足给定横截面特性的复合直升机旋翼桨叶的设计。与许多现实世界中的问题一样，目标和设计变量的选择会导致非线性和/或非凸目标函数的问题，这将需要使用随机优化方法来找到最优值。由于目标函数是根据横截面的有限元分析的结果进行评估的，因此使用随机方法的计算费用将是令人望而却步的。结果表明，通过选择适当的简化设计变量，相对于这些设计变量，问题变得更加凸显。这允许使用确定性优化方法，该方法比随机方法的计算效率高得多。还表明，可以选择设计变量，以使每个单个横截面特性的响应都可以通过线性逼近来精确建模，即使单个目标函数对许多设计参数的响应是非线性的。因此，可以将设计问题重新表述为可以通过矩阵方法轻松解决的多个联立线性方程式，从而允许使用最少数量的计算上昂贵的有限元分析来确定最佳位置。

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