Application of DQHFEM for free and forced vibration, energy absorption, and post-buckling analysis of a hybrid nanocomposite viscoelastic rhombic plate assuming CNTs’ waviness and agglomeration

•Post-buckling, free/forced vibration and energy absorption of rhombic plate are studied.•CNTs’ Waviness and Agglomeration are assumed.•Differential Quadrature Hierarchical Finite Element Method is applied for solution.•The rhombic plate is located on a viscoelastic torsional fractional substrate.•The results are shown for excitation frequency lower, equal and higher than natural frequency.