Structural System Identification with Extended Kalman Filter and Orthogonal Decomposition of Excitation

Both the structural parameter and external excitation have coupling influence on structural response. A new system identification method in time domain is proposed to simultaneously evaluate structural parameter and external excitation. The method can be used for linear and hysteresis nonlinear structural condition assessment based on incomplete structural responses. In this method, the structural excitation is decomposed by orthogonal approximation. With this approximation, the strongly time-variant excitation identification is transformed to gentle time-variant, even constant parameters identification. Then the extended Kalman filter is applied to simultaneously identify state vector including the structural parameters and excitation orthogonal parameters in state space based on incomplete measurements. The proposed method is validated numerically with the simulation of three-story linear and nonlinear structures subject to external force. The external force on the top floor and the structural parameters are simultaneously identified with the proposed system identification method. Results from both simulations indicate that the proposed method is capable of identifing the dynamic load and structural parameters fairly accurately with contaminated incomplete measurement for both of the linear and nonlinear structural systems.

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Output-only structural system identification method with a new two-stage Kalman filter and incomplete measurement

10.1117/12.2010507 ◽

2013 ◽

Author(s):

Y. Ding ◽

B. Y. Zhao ◽

B. Wu

Keyword(s):

Kalman Filter ◽

System Identification ◽

Structural System ◽

Two Stage ◽

System Identification Method ◽

Identification Method ◽

Incomplete Measurement ◽

Output Only ◽

Structural System Identification

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Parameter Identification for Nonlinear Structures by a Constrained Kalman Filter with Limited Input Information

International Journal of Structural Stability and Dynamics ◽

10.1142/s0219455417500109 ◽

2017 ◽

Vol 17 (01) ◽

pp. 1750010 ◽

Cited By ~ 3

Author(s):

Y. Ding ◽

L. N. Guo ◽

B. Y. Zhao

Keyword(s):

Kalman Filter ◽

Physical Meaning ◽

Unscented Kalman Filter ◽

Structural Parameters ◽

Structural Parameter ◽

External Excitation ◽

Problem Of Time ◽

The Stability ◽

Shear Building ◽

Nonlinear Shear

In this study, a new structural identification method is proposed to simultaneously evaluate the parameter and partial external excitation. The external excitation is decomposed as the linear combination of orthogonal bases, by which the problem of time-variant excitation identification is transformed into the identification of constant decomposition coefficients. A new constrained unscented Kalman filter (UKF) is proposed to identify the structural parameters and coefficients of excitation decomposition based only on measurement of the acceleration response. The proposed filter can retain the physical meaning of the structural parameters identified. A three-storey hysteretic nonlinear shear building is investigated numerically. The structural parameter and external force can be accurately identified with the proposed filter. The results of the simulation studies using the constrained UKF are compared with those from the conventional UKF. It is shown that some parameters identified by the conventional UKF may lose physical meaning, while the proposed constrained UKF can retain physical meaning. In the presence of measurement noise, the structural parameters and dynamic load can still be accurately identified using the proposed constrained UKF, which indicates the stability of the identification process.

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