The dynamic behavior of solid structures is an important aspect that must be considered in the design phase to ensure that the designed structure will have desired response under external excitation. Periodic structures offer various design possibilities that can tailor the dynamic behavior of the structure to match the desired response under a given applied excitation. The use of laminated fiber-reinforced composite materials in periodic structures further increases the design degrees of freedom by introducing new design parameters, such as the number of plies in each periodic patch and their fiber-orientation angles. In this article, the classical lamination theory is integrated with the forward approach of the wave finite element method to analyze periodic fiber-reinforced composite beams in flexural vibration. Since Euler–Bernoulli’s beam theory is used, the proposed approach is much simpler and computationally efficient than using laminated shell finite elements. The article shows the effects of the number of periodic cells, the segment length ratio, the number of plies in each periodic patch, and their fiber-orientation on the first stop band of the beam. The results reported can guide the design of such structures to attenuate vibration amplitudes at specific target frequency bands and avoid undesired dynamic responses. Results have been validated in the 0–2000 Hz frequency range by comparison with finite element laminated shell models.

固体结构的动态行为是设计阶段必须考虑的一个重要方面，以确保设计的结构在外部激励下具有所需的响应。周期性结构提供了各种设计可能性，可以定制结构的动态行为，以匹配给定施加激励下所需的响应。在周期性结构中使用层压纤维增强复合材料，通过引入新的设计参数，例如每个周期性补丁中的层数及其纤维取向角，进一步增加了设计自由度。在本文中，经典层压理论与波浪有限元方法的前向方法相结合，对弯曲振动中的周期性纤维增强复合梁进行分析。由于使用了 Euler-Bernoulli 梁理论，所提出的方法比使用层状壳有限元更简单且计算效率更高。文章显示了周期单元的数量、段长比、每个周期补丁中的层数及其光纤方向对光束第一阻带的影响。报告的结果可以指导此类结构的设计，以衰减特定目标频段的振幅并避免不希望的动态响应。通过与有限元层压壳模型进行比较，结果已在 0–2000 Hz 频率范围内得到验证。每个周期性补丁中的层数，以及它们在光束的第一个阻带上的纤维方向。报告的结果可以指导此类结构的设计，以衰减特定目标频段的振幅并避免不希望的动态响应。通过与有限元层压壳模型进行比较，结果已在 0–2000 Hz 频率范围内得到验证。每个周期性补丁中的层数，以及它们在光束的第一个阻带上的纤维方向。报告的结果可以指导此类结构的设计，以衰减特定目标频段的振幅并避免不希望的动态响应。通过与有限元层压壳模型进行比较，结果已在 0–2000 Hz 频率范围内得到验证。