Article (Scientific journals)
Event-driven integration of linear structural dynamics models under unilateral elastic constraints
Depouhon, Alexandre; Detournay, Emmanuel; Denoël, Vincent
2014In Computer Methods in Applied Mechanics and Engineering, 276, p. 312-340
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Keywords :
Structural dynamics; Unilateral constraints; Continuous extension; Cubic Hermite interpolation; Discontinuity sticking; Numerical grazing
Abstract :
[en] This paper proposes an algorithm for the numerical simulation of linear structural dynamics problems under unilateral elastic constraints, i.e., constraints with a linear force/displacement characteristic whenever active. The presented procedure relies on an event-driven strategy for the handling of the contact constraints, in combination with one-step schemes dedicated to the time integration of the second-order equations of motion. Efficiency of the procedure follows from the use of cubic Hermite interpolation to continuously extend the normal gap functions that reflect the openings of the contact interfaces. Robustness follows from the proper handling of complex numerical situations, e.g., numerical grazing or discontinuity sticking, through appropriate algorithm structure and numerical implementation. And, integration stability is guaranteed by the very nature of the algorithm and that of the one-step integration scheme. Following a detailed coverage of the integration procedure and the countermeasures to the expected numerical difficulties, three application examples are treated for illustration purposes. A MATLAB implementation of the procedure is provided online; download and usage information are given in the Appendix.
Disciplines :
Computer science
Author, co-author :
Depouhon, Alexandre ;  Université de Liège - ULiège > Département ArGEnCo > Analyse sous actions aléatoires en génie civil
Detournay, Emmanuel;  University of Minnesota > Civil Engineering > Geomechanics > Full Professor
Denoël, Vincent  ;  Université de Liège - ULiège > Département ArGEnCo > Analyse sous actions aléatoires en génie civil
Language :
English
Title :
Event-driven integration of linear structural dynamics models under unilateral elastic constraints
Publication date :
July 2014
Journal title :
Computer Methods in Applied Mechanics and Engineering
ISSN :
0045-7825
eISSN :
1879-2138
Publisher :
Elsevier Science, Lausanne, Switzerland
Volume :
276
Pages :
312-340
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 09 December 2013

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