In this paper, flutter of geometrical imperfect functionally graded carbon nanotubes (FG-CNTs) doubly curved shell subjected to a supersonic flow is investigated. For this purpose, the imperfect doubly curved shell is reinforced by four different carbon nanotubes (CNTs) distributions in the thickness direction. The Hill’s elastic moduli are used to obtain the effective material properties of FG-CNTs doubly curved shell. The piston aerodynamic theory and von Karman geometrical nonlinearity terms are used to study large deflection flutter analysis of FG-CNTs imperfect shell. The effect of different parameters including large deflection, geometrical imperfection and CNTs volume fraction on critical flutter pressure of doubly curved shells are studied. According to the results, distributions with poor CNTs in the middle of thickness are more efficient in improving critical flutter pressure. Additionally, the effect of shell imperfection on flutter pressure is more considerable than CNTs volume fraction and distributions.

在本文中，研究了在超声速作用下几何不完美的功能梯度碳纳米管（FG-CNTs）双曲壳的颤动。为此目的，通过在厚度方向上的四个不同的碳纳米管（CNT）分布来增强不完美的双曲面外壳。希尔氏弹性模量用于获得FG-CNTs双曲壳的有效材料性能。活塞空气动力学理论和von Karman几何非线性项被用于研究FG-CNTs不完美壳体的大挠度颤振分析。研究了大挠度，几何缺陷和碳纳米管体积分数等不同参数对双曲壳临界颤振压力的影响。根据结果​​，厚度中等的碳纳米管分布较差的分布在提高临界颤振压力方面更为有效。另外，壳缺陷对振颤压力的影响比CNT的体积分数和分布更显着。