In this paper, a new refined quasi-3-dimensional logarithmic shear deformation theory (RQ-3DLSDT) and an advanced moving Kriging interpolation (AMKI) based-meshless method is combined for the first time to study the static bending, free vibration, and compressive buckling analysis of isotropic and sandwich functionally graded plates laid on elastic foundations. The RQ-3DLSDT considering the effect of thickness stretching based only on four-unknown variables to determine the displacement field leading to reduce computational efforts. The weak forms of the equilibrium equation are discretized and numerically solved by the AMKI mesh-free method employed a proposed quadric correlation function for getting stable solutions.

在本文中，新的改进的准 3 维对数剪切变形理论 (RQ-3DLSDT) 和基于高级移动克里金插值 (AMKI) 的无网格方法首次相结合，研究了静态弯曲、自由振动和铺设在弹性基础上的各向同性和夹层功能梯度板的压缩屈曲分析。RQ-3DLSDT 仅基于四个未知变量来考虑厚度拉伸的影响，以确定导致减少计算工作量的位移场。平衡方程的弱形式被离散化并通过 AMKI 无网格方法进行数值求解，该方法采用了提出的二次相关函数以获得稳定解。