... (0, ) 0z t , (0, ) 0z t x w w , (1, ) 0z t , (1, ) 0z txw w (7c) (0, ) 0q t , (0, ) 0q t x w w , (1, ) 0q t , (1, ) 0q txw w (7d) INTEGRAL TRANSFORM According to the idea of GITT, the present study approaches by selecting the auxiliary eigenvalue problem and proposing the eigenfunction expansion...

... elevation correspond amplitude sulisz upstream oil & gas evanescent component eigenfunction steepness rectangular cylinder simulation A Study on the Interactions of Nonlinear Surface Waves with Fixed Semisubmerged Bodies Marcos Rodriguez and Johannes Spinneken Department of Civil...

... condition of the variational formulation, a system of linear equations is resulted with unknown coefficients which represents the horizontal velocities. Our variational formulation is extended by considering the evanescent eigenfunctions in the representations of these horizontal velocities. The solutions...

... al. 2006). investigation spot water quality nada long term variation water area principal component surface layer water management mode function seto inland sea eigenfunction water quality variation bottom layer layer 0 pref cod river variation Analysis of Medium to Long...

... ABSTRACT We present a solution for a circular thin plate of shallow draft on water of finite depth subject to linear wave forcing of a single frequency. The solution, which is given in a closed form, is based on decomposing the solution into angular eigenfunctions. The coefficients...

... the time dependent motion is self-adjoint. It is shown that the time harmonic solutions for an incoming wave are the eigenfunctions of this self adjoint operator. If the plate motion is expanded in these eigenfunction the time dependent motion can be calculated straightforwardly. Results are presented...

... to meet safety requirements and to expand the observation area. We report a technique for design of a motion controller which uses a mathematical model based on mode expansion by eigenfunctions. This provides an accurate mathematical model of the cable motion which has fewer parameters than other methods...

... displacement furne eigenfunction formulation coefficient Proceedings of the Tenth (2000) International Offshore and Polar Engineering Conference Seattle, USA, May 28-June 2, 2000 Copyright © 2000 by The International Society of Offshore and Polar Engineers ISBN 1.880653-46-X (SeO; ISBN 1-880653-48-6...

... placed on the water surface. The modal analysis for beam vibration and the eigenfunction expansion method are used for solving the boundary- value problem. Numerical calculations of hydrodynamic coefficients and wave exciting forces show significant shallow water effects especially on added masses...

... ABSTRACT: The solution to the problem of a floating elastic disk subjected to a train of plane ocean waves is presented, invoking the standard formulation for a floating body of shallow draft and the eigenfunction expansion for a circular thin plate with free edge conditions. Two methods...

... temperature distribution eigenvalue stress distribution transient thermal stress ozisik equation use case 1 eigenfunction Proceedings of the Fifth (1995) International Offshore and Polar Engineering Conference The Hague, The Netherlands, June 11-16, 1995 Copyright © 1995 by The International Society...

... of the boundary integral equation method. It is assumed that the velocity potential on the open boundary is rep- resented as a series of eigenfunctions. The propriety of the numerical result is also investigated. KEY WORDS Two-rumensIOn, Underwater, Sound Field, RadIa- tIOn, Shallow \Vater, EigenfunctIOn...

... when the wave incidence is parallel to the long axis of the pontoon and a development based on a three-dimensional version of Hasind's Theorem. eigenfunction mullarkey sene semi-analytical solution issc tlp pontoon eatock taylor convergence companson water depth stnp theory wave...

... viscosity thickness tidal current gradient force velocity component current ellipse ice thickness eigenfunction variation equation sea bed calculation upstream oil & gas boundary layer ellipse rotation ice cover latitude tidal cycle Proceedings of the Second (1992) International...

... large-scale meandering motions which lead to the spin-off of vortices from the current. triantafyllou ocean current instability mode free surface instability eigenfunction wavenumber ocean surface froude number vortex formation amplitude perturbation eigenvalue problem boundary...