New Parameter-Identification Method Based on QR Decomposition for Nonlinear Time-Varying Systems
Publication: Journal of Engineering Mechanics
Volume 145, Issue 1
Abstract
A new identification method based on QR decomposition for nonlinear time-varying systems is proposed in this paper, which is applied in a time-varying multiple-degree-of-freedom (MDOF) dynamic system to locate and estimate nonlinearities without a priori knowledge of them. This new procedure provides a continuous-time model with which a MDOF system can be partitioned into a number of different subsystems. After an orthogonalizing algorithm and an error reduction ratio (ERR) process, all information about the masses and linear and nonlinear connections in the subsystems can be detected and estimated with a high degree of accuracy. In this procedure, the time expressions of the time-varying parameters are also given. Because of its simplicity and efficiency, this new method will have wide application in practical engineering. The reliability of the identification method is demonstrated by a numerical example.
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Acknowledgments
This paper is funded by the National Natural Science Foundation of China (Grant No. 11472132) and the National Natural Science Foundation of China (Grant No. 11602105).
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©2018 American Society of Civil Engineers.
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Received: Nov 21, 2017
Accepted: Jul 6, 2018
Published online: Oct 24, 2018
Published in print: Jan 1, 2019
Discussion open until: Mar 24, 2019
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