To use effectively the shell in high-performance applications, analyzing the effect of hygrothermal effects on a piezoelectric delamination event is necessary. A laminated piezoelectric cylindrical shell with delamination is first established under hygrothermal effects, followed by an internal force analysis and an energy analysis of the shell. Then, a parametric vibration equation of the Mathieu for the shell is obtained by using the energy variation of the Rayleigh-Ritz method; later on, the harmonic balance method is employed to solve this equation. Finally, the effects of delamination parameters, geometric parameters, hygrothermal effects, and piezoelectric materials on the shell under uniformly distributed axial load are discussed.

为了在高性能应用中有效地使用外壳，有必要分析湿热效应对压电分层事件的影响。首先在湿热效应下建立分层压电圆柱壳，然后对壳进行内力分析和能量分析。然后，利用Rayleigh-Ritz方法的能量变化得到壳的Mathieu参数振动方程；随后，采用谐波平衡法求解该方程。最后讨论了均匀分布轴向载荷作用下分层参数、几何参数、湿热效应和压电材料对壳体的影响。