The vibration equation of a wing with an axial speed in supersonic flow can be obtained based on the Timoshenko theory in this paper. The influence on the wing's critical flutter speed caused by an axial speed has been analyzed after the numeric roots have been known. The Routh- Hurwitz criterion has been introduced to analyze the stability of the wing. The results show that the axial speed has a positive effect to improve the critical flutter speed, it also show that the influence is more obvious and the stability region is larger when the wing span is shorter.%针对可伸展机翼,根据Timoshenko剪切梁理论建立具有展向速度的可伸展机翼在超音速气流作用下的振动控制方程,并对其进行无量纲化处理.采用Galerkin法得到机翼振动的特征方程并求得特征方程的数值解,在此基础上分析展向伸展速度对可伸展机翼的颤振临界速度的影响.同时引入罗斯-霍尔维茨判据分析机翼颤振的稳定性.计算结果发现展向伸展速度有利于提高机翼的颤振临界速度,机翼展长越小,提高效果越显著,并且机翼振动越稳定.
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