The optimal design of risers for castings has been the subject of numerous investigations and this paper determines the optimal dimensions when Chvorinov’s rule for solidification is obeyed by both the riser and casting and solidification time is the only constraint involved .This problem can be formulated to minimize the riser volume subject to the constraint that the riser solidification time...

This study presents an advanced numerical prediction model based on nonlinear wake oscillators for the investigation of multidirectional vortex-induced vibration (VIV) responses a long catenary riser depending structural curved configuration versus incoming flow direction. By considering uniform free-stream aligned with initial curvature plane in convex or concave shape, normal velocity compone...

Dynamic pantograph-catenary interaction is one of the most critical aspects to consider in catenary design, especially in high-speed rails. It is essential to maintain a constant power transmission in order to achieve high speeds and avoid the production of electric arcs, which damage the wires. This paper shows a tool, called InDiCa 3D, based on a three-dimensional model to solve the dynamic p...

A brief review of recent literature on riser design is presented and a concise description of the design process is given. Effects of hydrodynamical design parameters on marine flexible riser design are then reviewed. Riser dynamic analyses are described which substantiate design criteria for the selection of riser configuration in deep and shallow water. The results of dynamic analyses using c...

Let NA be the monoid generated byA = {a1, . . . ,an} ⊆ Z.We introduce the homogeneous catenary degree of NA as the smallest N ∈ N with the following property: for each a ∈ NA and any two factorizations u,v of a, there exists factorizations u = w1, . . . ,wt = v of a such that, for every k, d(wk,wk+1) ≤ N, where d is the usual distance between factorizations, and the length of wk, |wk|, is less ...