... differential equations comprising nonlinearities associated not only with stiffness and damping but also with inertia terms. A dynamic analysis is performed by subjecting the model to JONSWAP ocean wave spectrum compatible extreme forces (corresponding to the 100 year wave) and to moments applied to the center...

... Bragg scattering well for arbitrary bathymetry. 17 09 2007 17 04 2009 01 03 2010 01 03 2010 differential equations surface waves (fluid) Generation, propagation, and transformation of surface waves in water of variable depth have usually been modeled by depth...

... of the reference plane due to the externally imposed axial and lateral excitation (Fig. 1 ). First, the problem is set with the aid of the governing differential equations of dynamic equilibrium. In order to investigate the influence of the dominant modes, the solution method employed was a semi-analytical...

..., stochastic differential equations governing the evolution of probability densities of roll-heave and roll responses for the two low-DOF models are derived via the Fokker-Planck formulation. Numerical results of roll responses for the 2DOF and 1DOF models, using direct simulation in the time domain...