Parametric Data-Driven Reduced Order Models With State Consistence for Aeroelastic Analysis

William C. Krolick, Yi Wang, K. Pant
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Abstract

This paper presents a framework to develop data-driven parametric reduced order models (PROMs) for aeroelastic (AE) analysis of flexible vehicles within a broad flight envelop. It is based on the separate domain and mode shape perturbation method. The flight envelop is first partitioned by multiple grid points, on each of which an aerodynamic ROM (AeroROM) is constructed using system identification (SYSID) techniques to capture dependence of the generalized aerodynamic force on the generalized displacement using data generated by high-fidelity CFD simulation. Then AeroROMs not on the grid point are obtained by interpolating those at neighboring grid points. Two interpolation schemes, i.e., the output-based interpolation and coefficient interpolation are developed. The parametric AeroROM is then coupled with the mode-based structural ROMs to enable integrated AE analysis under various flight conditions. The state consistence enabled by different SYSID techniques and performance of both ROM interpolation methods are also investigated. For the first time, it is found that the autoregressive exogenous ROM allows state consistence and direct model coefficient interpolation. The ROMs exhibit excellent agreement with CFD simulations (< 3% relative error) and orders of magnitudes speedup. The effort opens up new opportunities for parametric AE analysis and flight control design.
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气动弹性分析的状态一致性参数数据驱动降阶模型
本文提出了一个开发数据驱动的参数化降阶模型(PROMs)的框架,用于柔性飞行器在大飞行包络线内的气动弹性(AE)分析。该方法基于分离域和模态振型摄动方法。首先通过多个网格点对飞行包络线进行划分,利用系统识别(SYSID)技术在每个网格点上构建气动ROM (AeroROM),利用高保真CFD仿真生成的数据捕捉广义气动力与广义位移的依赖关系。然后通过插值相邻网格点上的aerorom,得到不在网格点上的aerorom。提出了两种插补方案,即基于输出的插补和系数插补。然后将参数化AeroROM与基于模型的结构rom相结合,以实现各种飞行条件下的集成声发射分析。研究了不同的SYSID技术所实现的状态一致性以及两种ROM插值方法的性能。首次发现自回归外生ROM允许状态一致性和直接模型系数插值。rom表现出与CFD模拟的良好一致性(相对误差< 3%)和数量级的加速。这项工作为参数化声发射分析和飞行控制设计开辟了新的机会。
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