scholarly journals Finite-Element Solution of Added Mass and Damping of Oscillating Rods in Viscous Fluids

1978 ◽  
Author(s):  
C. I. Yang ◽  
T. J. Moran
Keyword(s):  
Finite Element ◽  
Added Mass ◽  
Viscous Fluids ◽  
Finite Element Solution ◽  
Element Solution

A finite element solution of an added mass formulation for coupled fluid-solid vibrations

2000 ◽  
Vol 87 (2) ◽  
pp. 201-227 ◽  
Author(s):  
Alfredo Berm�dez ◽  
Rodolfo Rodr�guez ◽  
Duarte Santamarina
Keyword(s):  
Finite Element ◽  
Added Mass ◽  
Finite Element Solution ◽  
Element Solution

Finite-Element Solution of Added Mass and Damping of Oscillation Rods in Viscous Fluids

1979 ◽  
Vol 46 (3) ◽  
pp. 519-523 ◽  
Author(s):  
C.-I. Yang ◽  
T. J. Moran
Keyword(s):  
Finite Element ◽  
Viscous Fluid ◽  
Interpolation Method ◽  
Reaction Force ◽  
Closed Form Solution ◽  
Added Mass ◽  
Form Solution ◽  
Finite Element Solution ◽  
Element Solution ◽  
Element Analysis

This paper presents a finite-element analysis for the cylindrical rods oscillating periodically in an incompressible viscous fluid. A system of discretized equation is obtained from the appropriate Navier-Stokes and continuity equations through Galerkin’s process. The basic unknowns are velocity and pressure. A mixed interpolation method is used. The added mass and viscous damping coefficients which characterize the fluid reaction force due to the rods oscillation can be obtained through a line integration of stress and pressure around the circumference of the rods. For the special case of a cylindrical rod oscillating in a viscous fluid enclosed by a rigid, concentric cylindrical shell, the finite-element solution agrees well with the analytical closed-form solution, which, in turn, has been verified experimentally [1].

scholarly journals Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
B. Borsos ◽  
János Karátson
Keyword(s):  
Finite Element ◽  
Newton Method ◽  
Newton's Method ◽  
Numerical Experiments ◽  
Elliptic Problems ◽  
Iterative Solvers ◽  
Finite Element Solution ◽  
Element Solution ◽  
Nonlinear Beam ◽  
Quasi Newton

Abstract The goal of this paper is to present various types of iterative solvers: gradient iteration, Newton’s method and a quasi-Newton method, for the finite element solution of elliptic problems arising in Gao type beam models (a geometrical type of nonlinearity, with respect to the Euler–Bernoulli hypothesis). Robust behaviour, i.e., convergence independently of the mesh parameters, is proved for these methods, and they are also tested with numerical experiments.

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