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A stabilized central difference scheme for dynamic analysis
Publikationstyp
Journal Article
Date Issued
2015-01-28
Sprache
English
Author(s)
Institut
TORE-URI
Volume
102
Issue
11
Start Page
1750
End Page
1760
Citation
International Journal for Numerical Methods in Engineering 11 (102): 1750-1760 (2015)
Publisher DOI
Scopus ID
Publisher
Wiley
In this work, a new, unconditionally stable, time marching procedure for dynamic analyses is presented. The scheme is derived from the standard central difference approximation, with stabilization being provided by a consistent perturbation of the original problem. Because the method only involves constitutive variables that are already available from computations at previous time steps, iterative procedures are not required to establish equilibrium when nonlinear models are focused, allowing more efficient analyses to be obtained. The theoretical properties of the proposed scheme are discussed taking into account standard stability and accuracy analyses, indicating the excellent performance of the new technique. At the end of the contribution, representative nonlinear numerical examples are studied, further illustrating the effectiveness of the new technique. Numerical results obtained by the standard central difference procedure and the implicit constant average acceleration method are also presented along the text for comparison.
Subjects
Central differences
Constant average acceleration method
Dynamic analysis
Nonlinear iteration
Time marching
Unconditional stability
DDC Class
600: Technik