Thermal induced free vibration analysis of lattice FGM plates

Lattice structures can be developed for operating in high temperature environments. Ceramic-metal FGMs (Functionally graded materials) can be considered for manufacturing lattice plates. In the current study, an exact material modeling using Heaviside distribution functions is performed for lattice FGM plates. Using the classicaltheory, motion governing equations for lattice FGM plates under uniform temperature field has been derived. Free vibration problem of lattice FGM plates subjected to initial thermal loading and considering simply-supported boundary conditions has been solved using closed form Galerkin method. The analytical results are verified throughcomparison by those obtained from ABAQUS FEM (finite element method) commercial software. The solution presented here could be treated as a benchmark for future studies about FGM stiffened plates.

Keywords:

Free vibration , Thermal loading , Lattice plates , FGM , Heaviside distribution functions , Galerkin method