基于Timoshenko梁理论,研究了复合材料层合梁中Lamb波的弥散特性。推导了复合材料层合变截面梁在截面变化处以及含半无限大脱层的复合材料层合梁在脱层尖端处反射与透射特性的解析解,从而揭示了复合材料层合梁内Lamb波各模态相互耦合以及相互转化的特性。根据时间反转理论,提出了变截面梁和含脱层梁两种模型反射与透射矩阵之间存在Stokes关系。通过算例模拟结构中波的传播特性,并与文献中的数值方法进行比较,验证了所得理论解的正确性。
Based on Timoshenko beam theory, dispersion relation of Lamb wave in composite laminated beam with different plies is analyzed. Wave reflection and transmission are studied at the joint of a nonuniform composite laminated beam and at the tip of the delamination in a composite laminated beam containing semi-infinite delamination. It is found that Lamb wave modes are coupled with and converted to each other in composite laminated beams. Based upon time-reversion theory, Stokes relations between reflection and transmission in the above two models are proposed. Compared with the method in the reference, wave propagation in a beam structure by simulation verifies the proposed theory resolution.