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| A novel method for evaluation of backbone curve for nonlinear systems identification |
| ZHANG Hao1,LI Dongsheng2,LI Hongnan1 |
1.State Key Laboratory of Coastal and Offshore Engineering, School of Civil Engineering, Dalian University of Technology, Dalian 116024, China;
2.Guangdong Engineering Center for Structure Safety and Health Monitoring， College of Engineering, Shantou University, Shantou 515063, China |
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Abstract Backbone curves are of great significance for nonlinear identification including detection, characterization, and parameters identification.However, existing methods to extract backbone curves are of complex theories, and there are some problems, such as linearization errors and data fluctuation.A first-order component is main part of harmonic signal, it is convenient to extract backbone curve from instantaneous frequencies of peak points based on the first-order component of free vibration response signal.The proposed method is with simple conception and easy computation, it is suitable to be applied in practice.Three numerical simulations were utilized to verify its effectiveness.Meanwhile, several geometric methods for nonlinear characterization were discussed.Finally, parameter identification of a nonlinear system based on the proposed method was conducted, and good identification results were achieved by comparing with existing method.
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Received: 10 September 2018
Published: 15 February 2020
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