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Armin Troesch: Dynamics and hydrodynamics of high speed craft - PASI

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Added mass <strong>and</strong> damping, A 33 <strong>and</strong> B 33−ω 2 ( m + A 33 )+ iωB 33 + C 33 = f 1 + f 2( ) ζ 3 => ∑ F = m˙ ˙−ω 2 ( −mx cg + A 53 )+ iωB 53 + C 53 = ( f 1 − f 2 )L ζ 3 => ∑ M = 0ζ 3Which reduce toA 33 =( )1 ⎡ mag f 1 + f 2−ω 2 ⎢⎣ mag( ζ 3 )⎤cos( arg( f 1 + f 2 )− arg( ζ 3 ))− C 33 ⎥ − m⎦B 33 = 1 ω( )⎡ mag f 1 + f 2⎢⎣ mag( ζ 3 )( ( ))sin arg( f 1 + f 2 )− arg ζ 3⎤⎥⎦<strong>Armin</strong> <strong>Troesch</strong>University <strong>of</strong> MichiganDepartment <strong>of</strong> Naval Architecture <strong>and</strong> Marine Engineering<strong>Dynamics</strong> <strong>and</strong> Hydrodynamics <strong>of</strong> High Speed CraftJune 29, 2010Barranquilla, Colombia

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