Modeling and simulation of static and dynamic behavior in composite sandwich plates with hourglass lattice cores based on reduced-order model

• Published in: Composite structures 2022-03, Vol.284, p.115161, Article 115161
• Main Authors: Shi, Jie, Zhong, Yifeng, Liu, Rong, Shi, Zheng
• Format: Article
• Language: English
• Subjects: Composite sandwich plate; Free vibration; Hourglass lattice core; Multiscale analysis; Variational asymptotic method
• ISSN: 0263-8223; 1879-1085
• DOI: 10.1016/j.compstruct.2021.115161

The composite sandwich plate with hourglass lattice cores (CSP-HLC) is a novel cellular structure that can increase the width-to-length ratio and reduce the inter-node spacing. However, its static and dynamic behaviors are difficult to analyze due to the complex microstructures. In this work, a computational homogenization method is proposed for calculating the constitutive parameters. A reduced-order plate model is then derived through dimensional reduction from the three-dimensional orthotropic thermoelasticity framework. The effectiveness and accuracy of the proposed model were verified by comparing with the static-displacement and free-vibration results of 3D direct numerical simulations. The parameter analysis showed that the different material and structural parameters of the hourglass lattice core had different effects on the equivalent stiffnesses and natural frequencies of the CSP-HLC. Compared with the composite sandwich plate with pyramidal lattice cores, the displacement of the CSP-HLC was smaller under the same load and boundary conditions, and the natural frequencies were also smaller, which may have been because the additional equivalent density of the CSP-HLC influenced the frequency more predominantly than the extra equivalent stiffness. •The VAM was extended to establish the 2D-RPM of a CSP-HLC and was verified by comparing with 3D-DNS results.•The 2D-RPM has a high calculation efficiency due to the reduction of the degrees of freedom.•The static and dynamic behaviors of the CSP-HLC were systematically studied using the 2D-RPM.•The effects of the material and structural parameters on the equivalent stiffnesses and mode shapes were investigated.•The CSP-HLC had a higher stiffness than the CSP-PLC under the same material and structural conditions.