Premium
Numerical approximation for dynamic analysis based on NURBS and the Scaled Boundary Finite Element Method
Author(s) -
Méndez Salas Arturo,
Chasapi Margarita,
Klinkel Sven
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800172
Subject(s) - finite element method , mathematics , discretization , boundary (topology) , mathematical analysis , boundary knot method , boundary value problem , domain (mathematical analysis) , singular boundary method , basis function , isotropy , boundary element method , parametrization (atmospheric modeling) , physics , quantum mechanics , thermodynamics , radiative transfer
This contribution deals with a numerical modelling approach for time domain analysis. A parametrization method, established on NURBS as basis functions, is adopted in combination with the principles of the scaled boundary finite element method. This fusion allows a strong domain discretization minimizing the number of degrees of freedom since fewer points are necessary to represent a domain due to the nature of NURBS basis functions and the adopted boundary representation. In this proposal, the differential equation of motion for an idealized linear elastic, homogeneous and isotropic material is solved by applying the weak form along a boundary and scaling direction, and based on an implicit integration scheme. The adopted formulation is carried up to represent an open and a closed boundary. Both cases are under plane strain motion and their performance is studied, compared and validated with help of the conventional FEM. For the close domain, the analytical solution is also used and a damped system.