轻质金属点阵夹层板热屈曲临界温度分析

本文针对均匀温度场下四边简支和四边固支金属点阵夹层板的临界热屈曲温度进行了求解和参数影响分析。将点阵夹芯等效为均匀连续体，并且将夹层板的剪切刚度近似为点阵夹芯的抗剪切刚度，忽略夹芯的抗弯刚度且认为夹层板主要由面板来提供抗弯刚度。对于无法获得解析解的四边固支条件，通过对未知变量进行双傅里叶展开的方法求解了Ressiner夹层板模型的临界屈曲温度，理论分析结果与有限元计算结果吻合良好。进一步分析了不同边界条件、点阵胞元构型、点阵材料相对密度、面板厚度等对临界屈曲温度的影响规律。

Thermal buckling and critical temperature analysis of sandwich panels with metal-truss core

This article presents a theoretical analysis and parametric discussion of thermal buckling of sandwich panels with metal truss core under clamped and simply-supported boundary conditions, when subject to uniform thermal loading, by using Ressiner model and assuming the truss core is a continuous material. We ignore the flexural rigidity and bending stiffness of the core, and consider the shear stiffness of the core is the shear stiffness of the sandwich panel. By using the double Fourier expansion of the virtue deformation mode, we get the critical temperature of sandwich panels under clamped boundary, which cannot be analytical solved. The theoretical results are in good agreement with those of the finite element analysis. Then we discuss the influence of cell configuration of lattice-framed materials, the relative density of truss core, and panel thickness on critical buckling temperature.