基于H无穷范数的颤振分析方法

Flutter Analysis by Using H-infinity-norm

中文关键词  H无穷范数，颤振，气动弹性系统，多输入多输出系统

英文关键词  H-infinity-norm, Flutter, Aeroelastic system, MIMO system

中文摘要

      颤振是一种典型的气动弹性动不稳定现象，求解颤振临界点是气动弹性稳定性分析的重要任务之一。本文将气动弹性动力学系统视为多输入多输出系统，导出其系统转移函数矩阵，并将其H无穷-范数引入到颤振分析中。由系统稳定性理论得出，在颤振临界点附近，H无穷-范数趋于无穷大的结论。基于此发展了相应的算法，进行颤振临界点搜索。相比传统颤振分析方法，本方法具有更高的自动化程度以及鲁棒性。算例显示，本文方法所得结果具有很高的精度。

英文摘要

      Flutter is a typical instability phenomenon in dynamic aeroelastic systems. It is very important to determine the critical flutter point in aeroelastic stability analysis. Aeroelastic dynamics can be taken as a multiple-input and multiple-output（MIMO）system, system transfer matrix of which is derived in this study. H-infinity-norm is then applied to flutter analysis, which is proved to approach infinity near the critical flutter point. Algorithm is developed to search the flutter point based on the unique property of H-infinity-norm, which gains more robustness on flutter analysis compared with traditional approach. Numeric example shows that the results solved by present method correlate well with classical method.