Numerical simulation of band gap characteristics for periodically arranged curvilinear fiber laminated plates

This paper introduces curvilinear fiber laminated plates into the design of phononic crystal structures, proposing a model of periodic curvilinear fiber laminated plates and establishing a framework for band gap analysis. Specifically, we compare the band gap calculation results obtained using the finite element method (FEM) with those obtained using the plane wave expansion method, verifying the accuracy of our numerical approach. Based on this, we compare the band gap characteristics of curvilinear fibers and straight fibers, finding that the inclusion of curvilinear fibers significantly enhances the low-frequency band gap performance of the structure. Furthermore, we analyze the influence of the curvilinear fiber orientation parameters, discovering that these parameters affect the band gap characteristics of the structure. By adjusting the curvilinear fiber orientation parameters, it is possible to tailor the band gap properties to meet specific engineering requirements, greatly enhancing the design flexibility of the structure. Finally, we investigate the propagation of waves in various directions within the periodic curvilinear fiber laminated plates. Studies indicate that wave propagation in curvilinear fiber laminated plates exhibits more complex phenomena compared to straight fiber laminated plates. The patterns of wave energy flow also validate the effectiveness of the band gap.