## Abstract and Applied Analysis

### Structural Stiffness Identification Based on the Extended Kalman Filter Research

#### Abstract

For the response acquisition of the structure section measuring points, the method of identifying the structural stiffness parameters is developed by using the extended Kalman filter. The state equation of structural system parameter is a nonlinear equation. Dispersing the structural dynamic equation by using Newmark-$\beta$ method, the state transition matrix of discrete state equation is deduced and the solution of discrete state equation is simplified. The numerical simulation shows that the error of structural recognition doesnot exceed 5% when the noise level is 3%. It meets the requirements of the error limit of the engineering structure, which indicates that the derivation described in this paper has the robustness for the structural stiffness recognition. Shear structure parameter identification examples illustrate its applicability, and the method can also be used to identify physical parameters of large structure.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 103102, 8 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412605740

Digital Object Identifier
doi:10.1155/2014/103102

Mathematical Reviews number (MathSciNet)
MR3214406

Zentralblatt MATH identifier
07021739

#### Citation

Wang, Fenggang; Ling, Xianzhang; Xu, Xun; Zhang, Feng. Structural Stiffness Identification Based on the Extended Kalman Filter Research. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 103102, 8 pages. doi:10.1155/2014/103102. https://projecteuclid.org/euclid.aaa/1412605740

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