基于谐波平衡法和 V-g 法的高效颤振预测分析

提出了一种高效的颤振预测分析方法，将之应用于跨声速颤振边界分析及结构参数影响研究中。本方法基于频域颤振分析 V-g 方法，为气弹系统提供一定的人工阻尼使之保持简谐运动状态，从而将结构动力学方程转换到频域内。然后通过高效的谐波平衡法得到一系列简谐运动频率下的气动力描述函数矩阵，结合频域结构方程，将气弹系统的稳定性问题转化为广义特征值求解。结果表明：本方法计算得到的颤振边界与高精度的时间推进方法非常吻合，分析效率有了明显的提升，而且当结构参数发生变化后，只需进行若干次广义特征值求解即可得到新的颤振边界，无需像时间推进方法一样开展大量的气动/结构耦合数值模拟。

Efficient flutter prediction based on Harmonic Balance and V-g methods

An efficient flutter prediction method is proposed and applied in the analysis of transonic flutter boundary and influences of structural parameters.Based on frequency domain flutter analysis V-g method,an artificial damping term is applied to aeroelastic system to maintain harmonic motion.Thus,the frequency domain structural dynamic equations can be obtained.The aerodynamic describing function matrices can be acquired efficiently by harmonic balance method at a variety of harmonic frequencies.Combining aerodynamic describing function matrices and frequency domain structural equations,the aeroelastic stability problem can be transferred into a generalized eigenvalue problem.It is demonstrated that the flutter boundary of this method conforms with high-fidelity time-marching method and the analysis efficiency improves significantly.Moreover,when the structural parameters change,new flutter boundary can be easily obtained by generalized eigenvalue analysis in this method, other than time-marching method which needs numerous CFD/CSD coupled simulations.