Asymptotic analysis for composite laminated plate with periodically fillers in viscoelastic damping material core

A novel functional structure which can generate large structural loss factor (LF) in low frequency is designed in this research. The free flexural dynamic characteristics of composite laminated plate (CLP) cored with viscoelastic damping material (VDM) are studied by considering its frequency- and temperature-dependent properties. The heavy-density-material-rods (HDMRs) are periodically embedded into CLP. CLP's in-plane variables are obtained by classic laminated plate theory (CLPT) first, and then substituted it into the equilibrium equations which are derived from the Hamilton's principle, the flexural and shearing deformation compatible equations according to the mechanism of a primitive cell. The analytical deformation equation of the CLP is solved by the second order “rapid” asymptotic method, and LF is obtained, subsequently. The parameters that affect the LF are thoroughly analyzed. The validity of the research is verified by FEM. The research show the advantages of the presented CLP which could be applied in engineering under low frequency zone, especially in 1-200 Hz.