Premium
A finite element analysis for time‐dependent problems
Author(s) -
Holzlöhner Ulrich
Publication year - 1974
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620080106
Subject(s) - laplace transform , finite element method , viscoelasticity , vibration , extended finite element method , mixed finite element method , mathematical analysis , transformation (genetics) , transient (computer programming) , mathematics , laplace transform applied to differential equations , numerical analysis , computer science , physics , structural engineering , engineering , biochemistry , chemistry , quantum mechanics , gene , thermodynamics , operating system
The finite element method is applied to dynamic linear viscoelastic analysis. The arising system of differential equations is integrated by means of the Laplace transformation. The direct numerical evaluation of the inversion integral seems to be appropriate in case of vibrational problems. The method is applied to examples of transient vibrations of elastic bodies. Initial conditions and arbitrary damping matrices can be considered.