Dynamic Instability of Functionally Graded Graphene Platelet-Reinforced Porous Beams on an Elastic Foundation in a Thermal Environment.

When the porosity coefficient grows, the origin of the dynamic instability shows a decreasing trend, but the dimensionless fundamental frequency and critical buckling temperature rise both increase. • The addition of GPL nanofillers can enhance the beam stiffness significantly, and the mechanical performance is enhanced with Λ G P L increases. • The values of thermo-mechanical vibration and dynamic instability decrease with normalized static axial force and initial thermal loading increase. • Winkler and Pasternak foundations both strengthen the stiffness of the beam.

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