Nonlinear dynamic stability analysis of clamped and simply supported organic solar cells via the third-order shear deformation plate theory

•Nonlinear dynamic stability of the organic solar cell is investigated.•Simply supported and fully clamped restraints are included.•Infinite and finite duration axial displacement loadings are considered.•Influences of initial imperfection and geometric configuration are discussed.•Effects of spatially dependent elastic foundation and damping are explored.