Title
Stability analysis of central difference method for dynamic real-time substructure testing
Abstract
This paper studies the stability of the central difference method (CDM) for real-time substructure test considering the mass of specimen (i.e., experimental substructure). To obtain correct reaction inertia force, an explicit acceleration formulation is assumed for the CDM. The analytical work shows that the stability of the algorithm decreases with increasing specimen mass if the experimental substructure is a pure inertia specimen. The algorithm becomes unstable whatever the time integration interval, i.e., unconditionally unstable, when the mass of specimen equal or greater than that of its numerical counterpart. For the case of dynamic specimen, the algorithm is unconditionally unstable when there is no damping in the whole test structure; a damping will make the algorithm stable conditionally. The behavior of the CDM for vanishing time integration interval is verified with the zero-stability analysis method for coupled integration. Part of the analytical results is validated by an actual test. © 2009 AACC.
Year
DOI
Venue
2009
10.1109/ACC.2009.5160346
St. Louis, MO
Keywords
DocType
Volume
damping,structural engineering,civil engineering,force,real time,computer simulation,numerical stability,acceleration,real time systems,stability analysis,testing,computational modeling
Conference
null
Issue
ISSN
ISBN
null
null
978-1-4244-4524-0
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Bin Wu.101.01
Li-xia Deng262.66
Zhen Wang300.34
Xiandong Yang400.34