271_add_Added Masses of Ship Structures.pdf - 6.3 Added Masses of Multi-span Plates 261 Fig 6.1 The panel reinforced by parallel stiffeners Here is the

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6.3 Added Masses of Multi-span Plates 261 Fig. 6.1 The panel reinforced by parallel stiffeners Here ρ is the fluid density, r is the distance between the points s and s , and ˙ w is the generalized velocity. 4 The coefficient of the generalized coordinate in expression ( 6.6 ) is the added mass of the plate whose oscillations are described by the function ψ(x,y) . In actual calculations, dimensionless coefficients of added masses are more convenient [202], μ l nb = n 2 πl S ψ dS S ψ dS r S ψ 2 dS , (6.7) where l and b are the lengths of the panel (continuous plate) sides (see Fig. 6.1 ), l/n = a is the length of a single span of the continuous plate, and n is the number of spans into which the panel side l is separated by the stiffeners (the number of spans of the continuous plate participating in motion). The added mass per the plate unit area is then m = ρ l n μ l nb . (6.8) The coefficient μ(l/nb) depends therefore on the shape of oscillations of a con-

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• Fall '09
• continuous plate, Fik ψik

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