Static and dynamic analysis of hemispherical convex-concave composite plate (HCCP) using variational asymptotic equivalent model☆

Abstract In order to deeply study the static and dynamic behavior of hemispherical convex-concave composite plate (HCCP) under different conditions and avoid structural damage, the equivalent model of HCCP was developed based on variational asymptotic method. The constitutive modeling of unit cell was carried out to obtain the constitutive relations that can be used as effective plate properties for the 2-D equivalent plate model (2D-EPM). The accuracy of the equivalent model and the obtained equivalent stiffness are verified by comparing with the static displacement, global buckling and free-vibration of 3D finite element model (3D-FEM). The influence of different layup configurations of laminates and geometric parameters on the equivalent stiffness, vibration characteristics and global buckling of HCCP are discussed. The results show that the buckling loads and natural frequencies obtained by using equivalent model are in good agreement with 3D-FEM. The vibration and buckling of HCCP are closely related to the geometric sizes and layup configurations of the laminate, and the local field distributions within the unit cell of HCCP are well captured. Most importantly, the calculation efficiency is greatly improved. The research results provide a reference for the practical application of HCCP in the civil engineering.