345_add_Added Masses of Ship Structures.pdf - 8.2 Added Masses of Propeller Blades 337 Fig 8.2 Propeller blade 045 = R 2 xy r dr r0 046 = R 056 y r dr

345_add_Added Masses of Ship Structures.pdf - 8.2 Added...

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8.2 Added Masses of Propeller Blades 337 Fig. 8.2 Propeller blade λ 0 45 = R r 0 λ xy r 2 dr ; λ 0 46 = − R r 0 λ y r dr ; λ 0 56 = R r 0 λ x r dr. (8.11) Signs in front of the integrals were chosen according to the rules discussed in Sect. 3.5.1 , as well as the transformation formulas ( 1.21 ). Added masses of the profile can be found in the coordinate system xOy taking into account its width and curvature (see Chap. 2 ). In approximate computations, taking into account a relatively small thickness of the profile and small curvature of the middle chord, one can substitute the profile by a thin plate of width b . Then the added masses of an element of the blade, taking into account ( 1.20 ) can be written as follows: λ x = ρ π 4 b 2 cos 2 ϕ ; λ y = ρ π 4 b 2 sin 2 ϕ ; λ xy = − 1 2 ρ π 4 b 2 sin2 ϕ ; λ = ρ π 4 b 3 ( 0 . 5 ¯ b 1 ) cos ϕ ; λ = − ρ π 4 b 3 ( 0 , 5 ¯ b 1 ) sin ϕ ; λ ω = ρ π 4 b 4 9 32 ¯ b 1 ( 1 ¯ b 1 ) , (8.12) where ϕ is the angle shown in Fig. 8.2 ; b is the width of profile of an element of the blade; b 1 is the distance between the front point of the blade to its center (Fig.
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  • Fall '09
  • φ, Propeller, xOy, V. Lipis, λxω, λxy

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