Abstract
Compared with the ordinary foundation plate, the composite conical convex-concave plate (CCCP) has obvious anisotropic characteristics, and there is less research on the relationship between its mechanical properties and structural parameters. In this article, a numerical model for the equivalent stiffness of a typical unit cell with conical convex is established by using the variational asymptotic method. Then, the 3D finite element model (3D-FEM) of CCCP is transformed into 2D equivalent plate model (2D-EPM) with the effective plate properties obtained from the constitutive analysis of unit cell. The accuracy of 2D-EPM is verified by comparing with the displacement, natural frequencies, and buckling results from 3D-FEM under different boundary conditions. Then, the influence of geometric parameters and layup configurations on the effective performances of CCCP are investigated. Finally, the buckling loads and natural frequencies of bidirectional CCCP are compared with those of CCCP by using the present model. The present model is particularly useful in the early design stage of CCCP where many design trade-offs need to be made over a vast design space in terms of material selection, ply angles, and geometric parameters.
Highlights
With the development of modern science and technology, thin plate theory cannot meet the requirement of industrial production
The maximum error is less than 6% in Case 4, indicating the equivalent stiffness obtained by variational asymptotic method (VAM) is accurate, and the present 2D equivalent plate model (2D-EPM) can well reflect the static displacement of convex-concave plate (CCCP) under different boundary conditions
It is seen that the displacement within the unit cell is symmetrically distributed, and the minimum displacement is located at the edge of the flat plate, while the maximum displacement is located at the intersection of the flat plate and the conical convexity
Summary
With the development of modern science and technology, thin plate theory cannot meet the requirement of industrial production. The convexities can absorb a lot of energy in the process of impact vibration, and the loss of the plate can be greatly reduced [6]. This kind of plate has high heat dissipation efficiency and excellent sound insulation and heat insulation performance, which cannot be achieved by the sandwich plate and laminated plate. Chang et al [14,15,16] adopted the experimental method to study the energy absorbing ability and deformation process of two kinds of sinusoidal convex-concave plate reinforced by fiber materials during quasi-static compression. A VAM-based equivalent plate model is developed to predict the effective performance of CCCP.
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