Abstract This paper implements a meshless technique based on the multiquadric radial basis function to investigate the flexural response of thin to moderately thick laminated plates resting on elastic foundations and subjected to various types of transverse loads with simply supported boundary conditions. The laminated plates are modelled via the equivalent single-layered Higher-Order Shear Deformation Theory plate theory with five unknown variables. This study applied the energy principle to determine the governing differential equations of the elastically supported laminated plate and discretized with stable the multiquadric radial basis function. The program is compiled on the MATLAB platform, and numerous comparative studies are carried out to show the reliability and correctness of the suggested meshless numerical model. The flexural behaviour of the laminated plate is investigated using parametric studies to determine the impacts of the span-to-thickness ratio, two variable elastic foundations, aspect ratio, orthotropy ratio, and number of layers on flexural behaviours of the considered plates are presented.
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