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Energy‐consistent integration method and its application to hybrid testing
Author(s) -
Wu Bin,
Pan Tianlin,
Yang Haowen,
Xie Jinzhe,
Spencer Billie F.
Publication year - 2020
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.3246
Subject(s) - stability (learning theory) , energy (signal processing) , numerical integration , nonlinear system , algorithm , computer science , hybrid system , test case , mathematical optimization , mathematics , regression analysis , machine learning , mathematical analysis , statistics , physics , quantum mechanics
SUMMARY The time‐integration algorithm is an indispensable element to determine response of the boundary of the numerical as well as physical parts in a hybrid test. Instability of the time‐integration algorithm may directly lead to failure of the test, so stability of an integration algorithm is particularly important for hybrid testing. The explicit algorithms are very popular in hybrid testing, because iteration is not needed. Many unconditionally stable explicit‐algorithms have been proposed for hybrid testing. However, the stability analysis approaches used in all these methods are valid only for linear systems. In this paper, a uniform formulation for energy‐consistent time integrations, which are unconditionally stable, is proposed for nonlinear systems. The solvability and accuracy are analyzed for typical energy‐consistent algorithms. Some numerical examples and the results of a hybrid test are provided to validate the effectiveness of energy‐consistent algorithms.