the complete 3d nonlinear dynamic problem of extensible, flexible risers conveying fluid is considered. for describing the dynamics of the system, the newtonian derivation procedure is followed. the velocity field inside the pipe formulated using hydrostatic and bernoulli equations. the hydrodynamic effects of external fluids are taken into consideration through the nonlinear drag forces in var...

Parallel computing is a promising approach to alleviate the computational demand in conducting largescale finite element analyses. This paper presents a numerical modeling approach for earthquake ground response and liquefaction using the parallel nonlinear finite element program, ParCYCLIC, which is designed for distributed-memory message-passing parallel computer systems. In ParCYCLIC, finite...

A numerical code that solves self-consistent radio-frequency (RF) sheathplasma interactions in the ion cyclotron range of frequencies is developed based on a nonlinear finite element technique. The present code solves for plasma waves based on the cold plasma model subject to a sheath boundary condition. The finite element procedure has been implemented for oneand two-dimensional analyses using...

The objective in this presentation is to briefly survey some recent developments in finite element procedures that we have pursued to solve dynamic problems more accurately and more efficiently, and to solve new classes of problems. We present some developments regarding the finite element analysis of shells, the solution of wave propagation problems with mode conversions, the time integration ...

In this paper, nonlinear implicit finite element analyses are used to explore parametric excitation of a bridge stay cable resulting from cyclic motion of the deck. “Parametric excitation” is excitation of a cable mode with deck motion at near twice the frequency of the excited mode. Third-mode parametric frequency response curves are consistently predicted when the finite element mesh is suffi...

‎The proximal point algorithm‎, ‎which is a well-known tool for finding‎ ‎minima of convex functions‎, ‎is generalized from the classical‎ ‎Hilbert space framework into a nonlinear setting‎, ‎namely‎, ‎geodesic‎ ‎metric spaces of nonpositive curvature‎. ‎In this paper we propose an‎  ‎iterative algorithm for finding the common element of the‎ ‎minimizers of a finite family of convex functions a...