具有初应力的多层空心圆柱体中的导波

基于“增量变形力学”理论,研究了轴向初应力和径向初应力对多层空心圆柱体中导波传播特性的影响,应用Legendre多项式方法求解了耦合波动方程,并通过数值算例讨论了该方法的收敛性,分析了初应力对纵向波和扭转波的影响,数值分析结果表明初应力对两者的影响是非常不同的。此外,轴向初应力对频散曲线的影响与径向初应力的影响也非常不同。

GUIDED WAVES IN INITIALLY STRESSED MULTILAYERED HOLLOW CYLINDERS

The guided wave characteristics of multilayered hollow cylinders with initial stresses in the axial and radial directions were investigated based on the principles of the mechanics of incremental deformations. The Legendre polynomial series method was used to solve the coupled wave equations. The convergence of the polynomial method is discussed alongside the numerical example in the paper. The influences of initial stresses on longitudinal waves and on torsional waves, respectively, were investigated. Numerical results show that the influences of the initial stresses on longitudinal waves and on torsional waves are quite distinct. Moreover, the influences of initial axial stress on dispersion curves are very different from those of initial radial stress.