Nonlinear System Identification of Structures Subject to Stochastic Loadings

National Colloquium on Wind and Earthquake Engineering

Lim, E.S.^1 ; Liew, M.S.^2

Department of Civil and Environmental Engineering, Universiti Teknologi PETRONAS, Perak, Malaysia^1

Research and Innovation Office, Universiti Teknologi PETRONAS, Perak, Malaysia^2

关键词: Duffing oscillator;    Equation of motion;    Frequency response functions;    Non-linear stiffness;    Non-linear structural behaviours;    Non-linear system identification;    Physical parameters;    Spectral estimation techniques;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/244/1/012029/pdf
DOI  :  10.1088/1755-1315/244/1/012029

来源: IOP

【 摘 要 】

This paper intends to explore the application of the Reverse Multiple Input Multiple Output (R-MISO) technique in the system identification of nonlinear structural behaviour. This paper introduces two concepts in improving the identification estimates of multiple inputs and nonlinear systems, which is the conditioned spectral estimation technique and the inversion of the frequency response function formulas. In this paper, a linear equation of motion with a nonlinear Duffing oscillator is modelled and tested using this technique in order to model the typical nonlinear stiffness characteristics of materials and their design limit. The results indicate a good fit between the predicted physical parameters and the model properties. The nonlinearities were successfully isolated in a non-iterative procedure and the parameters were correctly identified. Multiple coherency was used as a tool to describe the various contributions of the inputs to the system outputs.