Dynamic stability of rotating cantilever composite thin walled twisted plate with initial geometric imperfection under in-plane load

The initial geometric imperfections in manufacturing structure are unavoidable. Critical buckling load and dynamic instability of the rotating cantilever cross ply laminate thin walled twisted plate with exponential function type initial geometric imperfection are investigated for the first time. The mode shapes are obtained by using Rayleigh-Ritz method and shallow shell theory including the influence of rotational speed and imperfection. Based on the Lagrange equations and the obtained mode shape function, motion equations considering the first three modes of the system are derived. The mode shapes, critical loads and dynamic instability obtained in present have been verified by comparing them with other researcher results. The detail studies about the effect of rotating speed, twisted angle, stacking sequence and imperfection factors of the rotating thin walled twisted plate subjected to the in-plane load on the static critical buckling load and dynamic instability are carried out.