Asymptotic analysis on flexural dynamic characteristics for a laminated composite plate with embedded and perforated periodically viscoelastic damping material core

In this paper, the flexural dynamic characteristics of a laminated composite plate (LCP) with fillers and perforated periodically viscoelastic damping material (VDM) core is researched, which is the succession research of refer (Zhou et al. 2015) that could obtain highly effects of vibration energy absorption and dissipation in medium and high frequency, and refer (Zhou et al. 2016), in low frequency. By considering the frequency and temperature properties of VDM, applying the zig-zag theory (ZZT), the equilibrium equations are built by the extended Hamilton's principle (EHP), and the flexural and shearing deformation compatible equations, and then solved the equations by “rapid” second-order asymptotic expansion method (SAEM) according to the geometry characteristic of the constructed structures, and the opening ratio (OR), filling ratio (FR), the density of embedded material and the height of viscoelastic damping layer which affected the flexural dynamic characteristics of the composite structures are researched thoroughly, and the validity of the calculation is verified by finite element method and the advantages of the composite structures are demonstrated meanwhile.