An Exact Solution for a Simplified Model of the Heave and Pitch Motions of a Ship Hull Due to a Moving Load and a Comparison With Some Experimental Results

Hydroelastic analysis of a nonlinearly connected floating bridge subjected to moving loads

“…Eq. (12) can be termed as the consistent added mass matrix and is obviously analogous to the former one. The diagonal matrix form of the added mass matrix is computed by evenly assigning M ea to each element nodal translational DOFs of the wetted surface.…”

“…(17) is the hydrostatic force matrix of a single wetted element and has the same form with Eq. (12). The expression of ½k b is specified as the consistent form of the hydrostatic force.…”

“…In the practical structural dynamic problems, various linear and nonlinear damping are usually simplified as the viscous damping, which is comparatively easy to deal with mathematically. A popular spectral damping scheme, called Rayleigh or proportional damping [12,13] is often used to form the damping matrix as a linear combination of the stiffness and mass matrices of the structure, that is…”

“…Wu and Sheu [12] investigated the coupled heave and pitch motions of a simplified non-uniform ship hull floating on a still water surface and subjected to a moving load, considering the ship hull as a rigid body supported by an elastic foundation with distributed springs and dampers. Wu and Shih [13] studied the elastic vibration of a partial-catenary-moored floating bridge (in still water) subjected to a moving load by taking the entire pontoon as a slender beam resting on an elastic foundation, and the influence of hydrodynamic forces as constant added mass, respectively.…”

Modeling and simulation of transient responses of a flexible beam floating in finite depth water under moving loads

“…However, the literature relating to the dynamic analysis of a floating body (on "water surface") subjected to a moving load is limited. Wu and Sheu [8] studied the dynamic response of a ship hull due to a moving load and a closed form ''exact solution" was obtained. Wu and Shih [9] performed a research on moving-loadinduced vibrations of a moored floating bridge by using FEM.…”