Recent years have seen growing application potential for Lattice-skin Plate Structures in advanced manufacturing fields such as aerospace and automotive engineering. For multiscale performance evaluation of such structures, conventional homogenization methods for lattice-filled volume structures are often used for equivalent analysis. However, in finite-thickness Lattice-skin Plate Structures, periodic boundary conditions imposed along the three orthogonal directions of the representative cell cannot adequately capture the boundary effect of the free surfaces in the thickness direction, which introduces bias into the prediction of effective properties. To reduce this bias, this study develops and open-sources a homogenization method for Lattice-skin Plate Structures, forming an open-source computational framework for this class of structures. Representative numerical examples show that the framework can stably extract effective plate/shell stiffness matrices and can be extended to predict multiphase material properties and analyze steady-state heat conduction. The tool provides an open and reusable analysis foundation for the high-fidelity design of multifunctional lightweight structures.
翻译:近年来,晶格-蒙皮板结构在航空航天和汽车工程等先进制造领域的应用潜力日益增长。对于此类结构的多尺度性能评估,通常采用针对晶格填充体积结构的传统均匀化方法进行等效分析。然而,在有限厚度的晶格-蒙皮板结构中,沿着代表体元三个正交方向施加的周期性边界条件无法充分捕捉厚度方向自由表面的边界效应,这会给等效性能的预测引入偏差。为减小此偏差,本研究开发并开源了一种针对晶格-蒙皮板结构的均匀化方法,形成了该类结构的开源计算框架。代表性数值算例表明,该框架能够稳定提取等效板/壳刚度矩阵,并可扩展用于预测多相材料特性及分析稳态热传导。该工具为多功能轻质结构的高保真设计提供了开放且可复用的分析基础。