Geometrically nonlinear effect on forced vibrational behavior of superlight composite beams with auxetic core layer under harmonic excitation based on FSDT

Abstract

The growing use of light composite materials in different industries such as automotive and aerospace has caused the need for more studies to analyze their behavior. In this study, an analytical solution for the nonlinear forced vibrational behavior of a multilayered superlight composite beam with a honeycomb core layer and adjustable Poisson’s ratio subjected to a harmonic excitation has been presented. The beam has two isotropic upper and lower layers with one honeycomb core layer. The Poisson’s ratio of the honeycomb core layer can be adjusted by changing the honeycomb cell parameters in a range of negative to positive values. The equations of motion have been extracted using the first-order shear deformation theory and nonlinear von Kármán relations. The equations are a system of coupled nonlinear partial differential equations that have been solved using the perturbation technique. To investigate the effect of different geometry and honeycomb cell parameters on the nonlinear response, a parametric study has been conducted. The effect of nonlinearity on the chaotic behavior and primary resonance is studied. The finite element method has been used to compare the results. It is observed that by adding a honeycomb layer, the total weight has been dropped by about 50% while the dynamic responses nearly remain the same.