Analysis of the dynamic behavior, buckling, and aeroelasticity of a thin composite plate with the effect of general and local geometric defects

Nonlinear vibrations, buckling, and aeroelasticity of a thin nonlinear orthotropic composite plate have been analyzed. The types of symmetric and antisymmetric sheet layering, the number of layers, the fiber angle ranging from 0 to 90$^{\circ}$, the effect of constant and variable thermal loads, the temperature dependence of the specific heat coefficient and the elastic modulus of the material, along with the local geometrical defects have been investigated. Using Galerkin's weighted residual theory, partial differential equations have been transformed into nonlinear ordinary differential equations, which are solved by the Runge–Kutta method.