A Rosenbrock-W method for real-time dynamic substructuring and pseudo-dynamic testing. Lamarche, C. P., Bonelli, A., Bursi, O., & Tremblay, R. Earthquake Engineering and Structural Dynamics, 38(9):1071 - 1092, 2009. Convergence;Hybrid testing;Jacobians;Real-time testing;Sub-structuring;![A Rosenbrock-W method for real-time dynamic substructuring and pseudo-dynamic testing [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper abstract bibtex A variant of the Rosenbrock-W integration method is proposed for real-time dynamic substructuring and pseudo-dynamic testing. In this variant, an approximation of the Jacobian matrix that accounts for the properties of both the physical and numerical substructures is used throughout the analysis process. Only an initial estimate of the stiffness and damping properties of the physical components is required. It is demonstrated that the method is unconditionally stable provided that specific conditions are fulfilled and that the order accuracy can be maintained in the nonlinear regime without involving any matrix inversion while testing. The method also features controllable numerical energy dissipation characteristics and explicit expression of the target displacement and velocity vectors. The stability and accuracy of the proposed integration scheme are examined in the paper. The method has also been verified through hybrid testing performed of SDOF and MDOF structures with linear and highly nonlinear physical substructures. The results are compared with those obtained from the operator splitting method. An approach based on the modal decomposition principle is presented to predict the potential effect of experimental errors on the overall response during testing. Copyright © 2009 John Wiley & Sons, Ltd.
@article{20093312246263 ,
language = {English},
copyright = {Compilation and indexing terms, Copyright 2023 Elsevier Inc.},
copyright = {Compendex},
title = {A Rosenbrock-W method for real-time dynamic substructuring and pseudo-dynamic testing},
journal = {Earthquake Engineering and Structural Dynamics},
author = {Lamarche, Charles Philippe and Bonelli, A. and Bursi, O.S. and Tremblay, R.},
volume = {38},
number = {9},
year = {2009},
pages = {1071 - 1092},
issn = {00988847},
abstract = {A variant of the Rosenbrock-W integration method is proposed for real-time dynamic substructuring and pseudo-dynamic testing. In this variant, an approximation of the Jacobian matrix that accounts for the properties of both the physical and numerical substructures is used throughout the analysis process. Only an initial estimate of the stiffness and damping properties of the physical components is required. It is demonstrated that the method is unconditionally stable provided that specific conditions are fulfilled and that the order accuracy can be maintained in the nonlinear regime without involving any matrix inversion while testing. The method also features controllable numerical energy dissipation characteristics and explicit expression of the target displacement and velocity vectors. The stability and accuracy of the proposed integration scheme are examined in the paper. The method has also been verified through hybrid testing performed of SDOF and MDOF structures with linear and highly nonlinear physical substructures. The results are compared with those obtained from the operator splitting method. An approach based on the modal decomposition principle is presented to predict the potential effect of experimental errors on the overall response during testing. Copyright © 2009 John Wiley & Sons, Ltd.<br/>},
key = {Jacobian matrices},
keywords = {Numerical methods;Integration testing;Dynamics;Energy dissipation;},
note = {Convergence;Hybrid testing;Jacobians;Real-time testing;Sub-structuring;},
URL = {http://dx.doi.org/10.1002/eqe.884},
}
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