平衡特征正交分解及其在机翼气弹模型降阶中的应用

汪凯; 吴凡; 姜长生

振动与冲击 ›› 2012, Vol. 31 ›› Issue (9) : 69-72.

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (9) : 69-72.
论文

平衡特征正交分解及其在机翼气弹模型降阶中的应用

  • 汪凯, 吴凡, 姜长生
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Balanced Proper Orthogonal Decomposition and Its Application on Order Reduction to Aeroelastic Models of Aircraft Wing

  • Wang Kai, Wu Fan, Jiang Chang-sheng
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摘要

将平衡特征正交分解方法(Balanced Proper Orthogonal Decomposition, BPOD)应用于气弹控制系统降阶。该方法是平衡截断(balance truncation theory)与特征正交分解 (Proper Orthogonal Decomposition, POD)的结合,可以克服高阶系统为控制方法应用所带来的局限性。首先给出了BPOD方法的理论推导与降阶过程,然后以三元大展弦比机翼的 有限元模型为例进行仿真验证。根据仿真结果分析,BPOD方法可以有效减少系统阶数,计算开销较小并保留输入输出关系,非常适用于气弹控制系统。

Abstract

This work applies balanced proper orthogonal decomposition (BPOD) to reduce the order of aeroelastic control system. The BPOD method is a combination of the proper orthogonal decomposition (POD) and balanced realization theory and can overcome the limitations caused by high dimensional characteristic. The theoretical derivation and order reduction process of BPOD are presented first. Then, the proposed method is applied to the reduce the order of the aeroelastic model of a three-dimensional wing. Based on the analysis of numerical simulation results,it is shown that, while keep the input-output relationship, BPOD is able to effectively reduce the system order, as well as the computational cost, and is very suitable for aeroelastic control systems.

关键词

平衡降阶 / 特征正交分解 / 气动弹性

Key words

balanced reduction / POD / aeroelasticity

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导出引用
汪凯; 吴凡; 姜长生. 平衡特征正交分解及其在机翼气弹模型降阶中的应用[J]. 振动与冲击, 2012, 31(9): 69-72
Wang Kai; Wu Fan; Jiang Chang-sheng. Balanced Proper Orthogonal Decomposition and Its Application on Order Reduction to Aeroelastic Models of Aircraft Wing[J]. Journal of Vibration and Shock, 2012, 31(9): 69-72

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