The present paper discusses the symmetric and asymmetric free and forced vibrations of a rotating graphene-platelets-reinforced composite annular plate subjected to the complex external excitation in thermal environment, where the aerodynamic force is considered. Displacement components are able to vary along the radial and circumferential directions and von K$\acute{\mathrm{a}}$rm$\acute{\mathrm{a}}$n’s geometrical nonlinearity is taken into account. The free vibration analysis is conducted first. Then the forced vibration equations are discretized by utilizing the Galerkin method with the aid of vibration mode. The incremental harmonic balance method and pseudo-arclength continuation algorithm are employed in combination to solve these equations. The effects of plate dimensions, graphene-platelets-reinforced composite (GPLRC) parameters, temperature rise, rotational motion, and external excitation on the symmetric and asymmetric vibration are studied by the parameter analysis for annular plate. Results implicate that temperature rise would affect the order in which the symmetric and asymmetric vibrations appear whereas the other factors not. Asymmetrical material properties along the thickness direction leads to that the periodic motion is asymmetric with respect to mid-plane. Under the complex external excitation, the dominant role of deformation shifts from symmetric vibration to asymmetric vibration as the frequency increases.

本文讨论了旋转石墨烯-薄片增强复合材料环形板在热环境中受到复杂外部激励的对称和非对称自由振动和受迫振动，其中考虑了空气动力。位移分量能够沿径向和圆周方向变化，von K$\acute{\mathrm{A}}$R M$\acute{\mathrm{A}}$考虑了 n 的几何非线性。首先进行自由振动分析。然后利用Galerkin方法借助振动模态对受迫振动方程进行离散化。结合增量谐波平衡法和伪弧长延拓算法求解这些方程。通过环形板的参数分析，研究了板尺寸、石墨烯-血小板增强复合材料 (GPLRC) 参数、温升、旋转运动和外部激励对对称和非对称振动的影响。结果暗示温度升高会影响对称和不对称振动出现的顺序，而其他因素则不会。沿厚度方向的不对称材料特性导致周期运动相对于中平面不对称。在复杂的外部激励下，随着频率的增加，变形的主导作用从对称振动转变为非对称振动。