Yoji Shimazaki

Three-dimensional finite-element method for extrudate swells of a maxwell fluid

Abstract The penalty function formulation of the three-dimensional finite-element method is applied for analyzing the extrudate swells of a Maxwell fluid. Extrusions from planar and rectangular dies are analysed. In order to reduce the size of the stiffness matrix, the momentum and the constitutive equations are solved separately and, to attain convergence for highly non-linear problems, the standard Galerkin method is applied to solve for the velocity and the shear stresses, and the least-squares finite-element method is applied to the normal extra-stresses.

Optimum Parametric Studies on Tuned Rotary-Mass Damper

We suggest a new passive type vibration control system, tuned rotary-mass damper (TRMD), which consists of the rolling mass (rotary-mass) and the container (outer shell) allowing the free movement of the mass along its inner arc. This TRMD has a simple construction and is applicable to the structure. The tuning of TRMD can be made by adjusting the diameter of the rotary-mass and the curvature of inside the outer shell. To determine the optimum tuning and damping ratio for a linear system of TRMD, a design technique of tuned mass damper is applied. The frequency response analysis is also performed to the nonlinear system of TRMD. It was found that the response magnification factor of the structure-TRMD system showed a strong dependency on the external strength ratio, and can be reduced by designing TRMD against the targeted external strength ratio.

Three-Dimensional Finite Element Analyses for a Maxwell Fluid Using the Penalty Function Method

The penalty function formulation of the three-dimensional finite element method is applied for analyzing the extrudate swells of a Maxwell fluid. The momentum and the constitutive equations are solved separately until the convergence is achieved, in which the standard Galerkin’s method is applied to solve the velocity and the tangential extra-stresses, and the least square finite element method is applied to the normal extra-stresses.

Visualization of Unsteady Creeping Viscous Flows Using Vector Products

A finite element method for analyzing unsteady incompressible creeping flows is presented. Marker particles are introduced to analyze the flow motions. To determine the marker position in the element, vector products are used. By checking the signs of the product, the marker position during the transient analysis can be determined in a simple manner. A benchmark-type problem for which an analytical solution is available and the filling process of a simple axisymmetrical mould shape are solved to illustrate this method.

A Taylor-Galerkin Method for Modeling Unsteady Fluid Flow Under its Own Weight

Abstract The free fluid-surface of incompressible creeping flows is analyzed using a finite element method. A pseudo-concentration (PC) function is introduced to determine the position of the free surface. The Taylor-Galerkin finite element method (TGFEM) is applied to solve the equation of the PC function. Nine-node quadratic interpolation is used for both PC and velocity. The unsteady flows of fluids moving of their own weight are analyzed using the proposed method.

A Simulation of Transient Flow through Monsanto Processability Tester, by Marker FEM

Abstract Die swells of fluid flowing through the Monsanto Processability Tester (MPT) are calculated, A finite element method using six-node triangular isoparametric elements is used, to analyze the transient flow motion in which marker particles are introduced to represent the motion. Marker positions are determined by the use of a triangular area co-ordinate system Three simple examples of extruding processes for Newtonian fluid flows are described.