Effect of Imperfections and Damping on the Type of Nonlinearity of Circular Plates and Shallow Spherical Shells

Figure 11

Type of nonlinearity for (a): mode (0,1) and (b): (4,0) versus the aspect ratio 𝜅 of a shallow spherical shell. Increasing values of damping for Case 1(∀𝑝=1…𝑁,𝜉_𝑝=𝜉𝜔_𝑝) are shown, with 𝜉 = 0 and 0.01 (red), 0.1 (cyan) and 0.3 (violet).

(a)

(b)