Nonlinear transient responses of rotating annular plates under blast loads in hygrothermal environment

Exploring the nonlinear transient response of structures under external loads holds significant importance. Functionally graded materials (FGMs) and annular plates play a critical role in aerospace, defense, and other fields, but research on the nonlinear transient response of rotating FGM annular plates under explosive loading in hygro-thermal environments remains unexplored. First, in this paper, we formulate the viscoelastic foundation model using the Visco-Pasternak foundation theory. Subsequently, by integrating the first-order shear deformation theory (FSDT) and incorporating initial geometric imperfections, we derive the displacement field expressions. Thereafter, we establish the stress-strain relationship and present the constitutive equations. Finally, we obtain the governing equations through Hamilton's principle and solve them using the Galerkin method. In the numerical analysis section, the effects of geometric parameters, initial geometric defects, foundation stiffness, temperature, humidity coefficient, load amplitude, and load duration are systematically investigated.