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Sandwich plate structures constituted by a porous core and two reinforced face layers are gaining the attention of significant interest from worldwide researchers because of their outstanding attributes. For a better insight, this paper presents an efficient and powerful numerical approach to exploring the dynamic instability characteristics of porous sandwich plates reinforced with graphene platelets (GPLs) subjected to periodic axial compression. The numerical model is derived based on a three--variable high--order shear deformation plate theory within the framework of the NURBS-based IGA. The core layer of sandwich plates could be formed from two types of porosity distributions through the thickness of the core layer. Meanwhile, two thin face layers are reinforced with GPLs to enhance the performance of structures under periodic axial compressions. To obtain the boundaries of the dynamic instability region, the Bolotin method is employed in this work. Herein, several numerical examples are carried out to examine the influence of some significant parameters such as porosity distribution, porosity coefficient, weight fraction of GPLs and applied load factor on dynamic instability characteristics of sandwich plates. The present outcomes could be considered as benchmark results as well as give some valuable guides for the analysis, design, and manufacture of engineering structures with great features in the future.

Dynamic instability; Isogeometric analysis; Three-variable HSDT; Porous materials; Graphene platelets reinforcement; Sandwich plate.