Imperfection sensitivity of nonlinear primary resonance behavior in bi-directional functionally graded porous material beam

This research aims to analyze the imperfection sensitivity in the nonlinear resonance behavior of bi-directional functionally graded (BDFG) porous beam. The trigonometric and hyperbolic functions are chosen to describe the global and localized geometrical imperfections. Considering the first-order shear deformation theory and von-Kármán’s geometric nonlinearity, theoretical model is formulated to depict the coupled motion including the...