基于“增量变形力学”理论,研究了径向和轴向均匀初应力作用下单向复合材料圆柱板中周向波的传播特性,应用Legendre多项式法求解了耦合波动方程.讨论了单向复合材料纤维方向分别为周向和轴向时,初应力对圆柱板中的周向类Lamb波和SH波的影响.数值分析结果表明初应力对周向类Lamb波和周向SH波的影响是非常不同的;轴向初应力对频散曲线、位移和应力分布的影响与径向初应力的影响也不相同.
Based on the mechanics of incremental deformations, the circumferential wave characteris-tics in unidirectional cylindrical curved plates under uniform initial stresses in the radial and axial directions are investigated. The Legendre polynomial series method is used to solve the coupled wave equation. Two different fiber directions, the circumferential direction and axial direction, are discussed. The effects of the initial stresses on the circumferential Lamb-like waves and on the circumferential SH waves are investiga-ted, respectively. Numerical results show that they are quite distinct. Moreover, the effects of the initial stress in the axial direction are very different from those in the radial direction, both on the dispersion curves and on the displacement and stress distributions.