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A frequency-domain FEM approach based on implicit Green’s functions for non-linear dynamic analysis
- Source :
-
International Journal of Solids & Structures . Nov2005, Vol. 42 Issue 23, p6003-6014. 12p. - Publication Year :
- 2005
-
Abstract
- Abstract: The present paper describes an efficient algorithm to integrate the equations of motion implicitly in the frequency domain. The standard FEM displacement model (Galerkin formulation) is employed to perform space discretization, and the time-marching process is carried out through an algorithm based on the Green’s function of the mechanical system in nodal coordinates. In the present formulation, mechanical system Green’s functions are implicitly calculated in the frequency domain. Once the Green’s functions related matrices are computed, a time integration procedure, which demands low computational effort when applied to non-linear mechanical systems, becomes available. At the end of the paper numerical examples are presented in order to illustrate the accuracy of the present approach. [Copyright &y& Elsevier]
- Subjects :
- *ALGORITHMS
*FOUNDATIONS of arithmetic
*EQUATIONS
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00207683
- Volume :
- 42
- Issue :
- 23
- Database :
- Academic Search Index
- Journal :
- International Journal of Solids & Structures
- Publication Type :
- Academic Journal
- Accession number :
- 18244139
- Full Text :
- https://doi.org/10.1016/j.ijsolstr.2005.05.047