An Analytical Method for Evaluating the Dynamic Response of Plates Subjected to Underwater Shock Employing Mindlin Plate Theory and Laplace Transforms

Figure 6

Comparisons of the responses of the plate for five different thicknesses: (a) the time history of the deflection 𝑤 for the plate at 𝑥=𝑎/2,𝑦=𝑏/2, and 𝑧=ℎ/2 for the non-FSI case; (b) the time history of the deflection 𝑤 for the plate at 𝑥=𝑎/2,𝑦=𝑏/2, and 𝑧=ℎ/2 for the air-backed case; (c) the time history of the deflection 𝑤 for the plate at 𝑥=𝑎/2,𝑦=𝑏/2, and 𝑧=ℎ/2 for the water-backed case; (d) the time history of the membrane normal stress 𝜎_𝑥𝑥 for the plate at 𝑥=𝑎/2, 𝑦=𝑏/2, and 𝑧=ℎ/2 for the non-FSI case; (e) the time history of the membrane normal stress 𝜎_𝑥𝑥 for the plate at 𝑥=𝑎/2,𝑦=𝑏/2, and 𝑧=ℎ/2 for the air-backed case; (f) the time history of the membrane normal stress 𝜎_𝑥𝑥 for the plate at 𝑥=𝑎/2,𝑦=𝑏/2, and 𝑧=ℎ/2 for the water-backed case; (g) the time history of the transverse shear stress 𝜎_𝑥𝑧 for the plate at 𝑥=0,𝑦=0.5, and 𝑧=0 for the non-FSI case; (h) the time history of the transverse shear stress 𝜎_𝑥𝑧 for the plate at 𝑥=0,𝑦=0.5, and 𝑧=0 for the air-backed case; and (i) the time history of the transverse shear stress 𝜎_𝑥𝑧 for the plate at 𝑥=0,𝑦=0.5, and 𝑧=0 for the water-backed case.

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

(i)