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Determination of Stability and Control Derivatives using Computational Fluid Dynamics and Automatic Differentiation

机译:使用计算流体动力学和自动微分法确定稳定性和控制导数

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摘要

With the recent interest in novel control effectors there is a need to determine the stability and control derivatives of new aircraft configurations early in the design process. These derivatives are central to most control law design methods and would allow the determination of closed-loop control performance of the vehicle. Early determination of the static and dynamic behavior of an aircraft may permit significant improvement in configuration weight, cost, stealth, and performance through multidisciplinary design. The classical method of determining static stability and control derivatives - constructing and testing wind tunnel models - is expensive and requires a long lead time for the resultant data. Wind tunnel tests are also limited to the preselected control effectors of the model. To overcome these shortcomings, computational fluid dynamics (CFD) solvers are augmented via automatic differentiation, to directly calculate the stability and control derivatives. The CFD forces and moments are differentiated with respect to angle of attack, angle of sideslip, and aircraft shape parameters to form these derivatives. A subset of static stability and control derivatives of a tailless aircraft concept have been computed by two differentiated inviscid CFD codes and verified for accuracy with central finite-difference approximations and favorable comparisons to a simulation database.
机译:随着近来对新型控制效应器的兴趣,需要在设计过程的早期确定新飞机配置的稳定性和控制派生。这些导数是大多数控制律设计方法的核心,可以确定车辆的闭环控制性能。飞机的静态和动态行为的早期确定可以通过多学科设计显着提高配置重量,成本,隐身性和性能。确定静态稳定性和控制导数的经典方法-构建和测试风洞模型-昂贵且需要较长的交付时间才能获得结果数据。风洞测试也仅限于模型的预选控制效应器。为了克服这些缺点,通过自动微分增加了计算流体力学(CFD)求解器,以直接计算稳定性并控制导数。 CFD力和力矩在迎角,侧滑角和飞机形状参数方面有所区别,以形成这些导数。无尾飞机概念的静态稳定性和控制导数的子集已由两个差分无粘性CFD代码计算出,并通过中心有限差分近似和与仿真数据库的有利比较来验证其准确性。

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