Open AccessApplication of the finite element method to solving the duffing equation of ground motion
Author(s) -
Godwin Christopher Ezike Mbah,
Kingsley Kelechi Ibeh
Publication year - 2020
Publication title -
global journal of pure and applied sciences.
Language(s) - English
Resource type - Journals
ISSN - 1118-0579
DOI - 10.4314/gjpas.v26i1.8
Subject(s) - galerkin method , duffing equation , mathematics , finite element method , stiffness matrix , mathematical analysis , mixed finite element method , discontinuous galerkin method , nonlinear system , physics , quantum mechanics , thermodynamics
In this paper, we applied the Galerkin Finite Element Method to solve a damped, externally forced, second order ordinary differential equation with cubic nonlinearity known as the Duffing Equation. The Galerkin method uses the functional minimization technique which sets the equation in systems of algebraic equations to be solved. Various simulation on the effect of change on some parametric values of the Duffing equation are shown.
Keywords: Galerkin Finite Element Method, stiffness matrix, Duffing Equation, shape functions, basis functions, weight functions.