论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、点阵朐元构犁、点阵材料相对密詹、面枥厚席等对临界席曲涡序的影响规律.
Using Ressiner model and assuming the truss core as a continuous material,a theoretical a- nalysis and parametric discussion about the thermal buckling of sandwich panels with metal truss core un- der clamped/simply-supported boundary conditions and uniform thermal loading are presented. For simplic- ity, the flexural rigidity and bending stiffness of the core are ignored, and the shear stiffness of the core is assumed to be the same as the shear stiffness of the sandwich panel. By using the double Fourier expansion of the virtue deformation mode, the critical temperature of sandwich panels under clamped boundary is ob- tained ,which shows good agreement with those of the finite element analysis. Then, the influences of the cell configuration of lattice framed truss cores, the relative density of truss cores, and panel thickness on the critical buckling temperature are analyzed carefully.