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Aeroelastic Design Optimization using a Multifidelity Quasi-Newton Method

机译:使用多保真拟牛顿法的气动弹性设计优化

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The traditional aircraft design process relies upon low-fidelity models for expedience and resource savings. However, the reduced accuracy and reliability of low-fidelity tools often lead to the discovery of design defects or inadequacies late in the design process. These deficiencies result either in costly changes or the acceptance of a configuration that does not meet expectations. Multifidelity methods attempt to blend the increased accuracy and reliability of high-fidelity models with the reduced cost of low-fidelity models. A new multifidelity algorithm has been proposed, combining elements from typical Trust Region Model Management and classical quasi-Newton methods. In this paper, the algorithm is compared to the single-fidelity quasi-Newton method for complex aeroelastic simulations. The vehicle design problem includes variables for planform shape, structural sizing, and cruise condition with constraints on trim and structural stresses. Considering the objective function reduction versus computational expenditure, the multifidelity process performs better in three of four cases in early iterations. However, the enforcement of a contracting trust region slows the multifidelity progress. Even so, leveraging the approximate inverse Hessian, the optimization can be seamlessly continued using high-fidelity data alone. Ultimately, the proposed new algorithm produced better designs in all four cases. Investigating the return on investment confirms that the multifidelity advantage is greatest in early iterations, and managing the transition to high-fidelity optimization is critical.
机译:传统的飞机设计过程依赖于低保真模型,以方便快捷和节省资源。但是,低保真度工具的准确性和可靠性下降通常会导致在设计过程的后期发现设计缺陷或不足之处。这些缺陷会导致代价高昂的更改,或者导致接受不符合预期的配置。多重保真度方法试图将高保真度模型的更高的准确性和可靠性与降低的低保真度模型的成本相结合。提出了一种新的多保真算法,该算法结合了典型信任区域模型管理和经典拟牛顿方法的要素。在本文中,将该算法与用于复杂气动弹性仿真的单保真准牛顿法进行了比较。车辆设计问题包括针对平面形状,结构尺寸和巡航条件的变量,这些变量受装饰和结构应力的约束。考虑到目标函数的减少与计算量的关系,在早期迭代中,多保真处理在四种情况中的三种情况下表现更好。但是,签约的信任区域的执行会减慢多保真度的进度。即便如此,利用近似逆Hessian,仅使用高保真数据就可以无缝地继续优化。最终,提出的新算法在所有四种情况下都产生了更好的设计。调查投资回报率可以确认,在早期迭代中,多保真度优势最大,因此管理向高保真度优化的过渡至关重要。

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