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采用Ｈｏｐｆ分叉分析方法，对跨音速操纵面嗡鸣问题进行了研究。用二维守恒型非定常Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ 方程计算了舵面振动时的非定常气动力，计算了出现Ｈｏｐｆ分叉的Ｍａ 数，研究了一些参数对嗡鸣的影响。将Ｈｏｐｆ分叉的计算结果与嗡鸣的时间历程计算做了对比，两者相当吻合，与飞行试验结果相比，也比较接近。
Hopf bifurcation analysis method is used to study the buzzing problem of transonic control surface. The unsteady aerodynamic forces of the rudder surface are calculated by using the unsteady Navier-Stokes equations of two-dimensional conservation. The Ma-number of the Hopf bifurcation is calculated and the influence of some parameters on the buzzing is studied. Comparing Hopf bifurcation calculation with buzzing time history calculation, the two are in good agreement with each other and are close to the flight test results.