... of interior regions. Solutions in the Interior Regions In the interior regions, i.e. region II or III, the solution is divided into two parts namely IIIIIP IIIII G IIIII . The first part is a general solution, the expression for region II is given as follows: cos,, 0 0...

... equation of wave motion is Laplace equation. In this paper, an ordinary differential equation which is equivalent to Laplace equation with the non-linear boundary conditions, is introduced for developing a 3-dimensional gravity wave theory. General solutions satisfying Laplace equation, bottom boundary...

... ABSTRACT The purpose of this paper is to provide a general solution of spatial warping curved beams under multiple loads based on the existed theory. The transverse shear deformation and torsion-related warping effects are taken into account. In natural coordinates, equilibrium, geometrical...

..., widely accepted design guidelines for VLFS are not yet available because of insufficient experience with the construction and operations of VLFS. vlf breakwater general solution reservoir characterization hydroelastic behavior draft effect subsea system shoreline drift force region ii...

... variation reflection surface elevation analytic solution transmission free surface elevation submerged structure impermeable boundary condition 2003-jwc-04 lee page boundary condition water depth particular solution elevation expression general solution equation Second-order Analysis...

... condition for a specific class of these damping functions. reservoir simulation assumption numerical experiment analytic solution boundary condition sommerfeld condition equation data mining numerical wave tank numerical beach frequency grid reflection coefficient general solution...

... particular solution uniform load rectangular plate homogeneous solution mixed boundary condition triangular prism form load relation boundary condition uniformly iterative method deflection surface modification equation simultaneous equation kurata general solution hamada...