Central Difference Method for Real-Time Substructure Test Considering Specimen Mass

Abstract eng:
This paper studies the stability of the central difference method (CDM) for real-time substructure test considering specimen mass. 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 mass. 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. Part of the analytical results is validated by an actual test.

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