lect_9 - Six-Degree-of-Freedom Motion of a Ship in Waves...

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Unformatted text preview: Six-Degree-of-Freedom Motion of a Ship in Waves Translation in x: surge 1 (t); Translation in y: sway 2 (t); Translation in z: heave 3 (t); Rotation with x: roll 4 (t); Rotation with y: pitch 5 (t); Rotation with z: yaw 6 (t); Solution of Equation of Motion of a Ship in Waves quation of Motion: In a state-sate, ship has a periodic response: the wave excitation: he equation of motion becomes: In a matrix form, it becomes: hus, we have where he key is to determine the 6 6 matrices: added mass [A], damping [B], restoring oefficients [C], and 6 1 vector: excitation {f} 2.29 - Numerical Fluid Mechanics Spring 2007 Lecture 9 - Uniform Flow Past an Arbitrary Body Dr.Yuming Liu U B x y n S ( x,y ) =- Ux + ( x,y ) On S B : n = 0- n = Un x In the fluid: 2 = 0- 2 = 0 In the far field: = 0 Purpose: To find ( x,y ) on the body surface ( S B ). After knowing on S B , flow velocity and pressure on S B can be determined easily. Apply Greens Theorem- a boundary integral equation: Z S B ( , ) G n d + ( x,y ) = Z S B n ( , ) Gd G ( x,y ; , ) =- ln p ( x- ) 2 + ( y- ) 2 To solve the above integral equation, we use the panel method.To solve the above integral equation, we use the panel method....
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This note was uploaded on 02/27/2012 for the course MECHANICAL 2.29 taught by Professor Henrikschmidt during the Spring '07 term at MIT.

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lect_9 - Six-Degree-of-Freedom Motion of a Ship in Waves...

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