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Added Mass - MIT OpenCourseWare

Hydrodynamics Reading #6. Hydrodynamics Prof. Techet Added mass For the case of unsteady motion of bodies underwater or unsteady flow around objects, we must consider the additional effect (force) resulting from the fluid acting on the structure when formulating the system equation of motion. This Added effect is Added mass . Most floating structures can be modeled, for small motions and linear behavior, by a system equation with the basic form similar to a typical mass -spring-dashpot system described by the following equation: mx + bx + kx = f (t ) ( ). where m is the system mass , b is the linear damping coefficient, k is the spring coefficient, f(t) is the force acting on the mass , and x is the displacement of the mass . The natural frequency of the system is simply k =.

It is important in ocean engineering to consider floating vessels or platforms motions in more than one direction. Added mass forces can arise in one direction due to motion in a different direction, and thus we can end up with a 6 x 6 matrix of added mass coefficients. version 3.0 updated 8/30/2005 -1- ©2005 A. Techet

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