A local Kriging meshless method for free vibration analysis of functionally graded circular plates in thermal environments

摘要

In this paper, free vibration analysis of functionally graded circular plates in thermal environments is conducted with a local Kriging meshless method. Kriging technique is employed to construct meshless shape functions which possess the Kronecker delta and partition of unity properties. First-order shear deformation plate theory is used to account for the transverse shear strains. The material properties are assumed to be temperature-dependent and vary continuously along thickness direction of the circular plate in accordance with a power-law distribution of the volume fractions of their constituents. The temperature filed grades in the same way as the material properties of FGP. Isotropic circular plate and functionally graded square plates subjected to thermal loading are used to demonstrate the effectiveness and accuracy of the proposed meshless method.