A stochastic finite element method for dynamic analysis of bridge structures under moving loads

Xiang Liu; Lizhong Jiang; Ping Xiang; Zhipeng Lai; Yuntai Zhang; Lili Liu

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자료유형: 학술저널

저자정보: Xiang Liu (Fujian University of Technology) Lizhong Jiang (Central South University) Ping Xiang (Central South University) Zhipeng Lai (Central South University) Yuntai Zhang (Central South University) Lili Liu (Central South University)

저널정보: 국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.82 No.1

발행연도: 2022.4

수록면: 31 - 40 (10page)

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In structural engineering, the material properties of the structures such as elastic modulus, shear modulus, density, and size may not be deterministic and may vary at different locations. The dynamic response analysis of such structures may need to consider these properties as stochastic. This paper introduces a stochastic finite element method (SFEM) approach to analyze moving loads problems. Firstly, Karhunen-Loeve expansion (KLE) is applied for expressing the stochastic field of material properties. Then the mathematical expression of the random field is substituted into the finite element model to formulate the corresponding random matrix. Finally, the statistical moment of the dynamic response is calculated by the point estimation method (PEM). The accuracy and efficiency of the dynamic response obtained from the KLE-PEM are demonstrated by the example of a moving load passing through a simply supported Euler-Bernoulli beam, in which the material properties (including elastic modulus and density) are considered as random fields. The results from the KLE-PEM are compared with those from the Monte Carlo simulation. The results demonstrate that the proposed method of KLE-PEM has high accuracy and efficiency. By using the proposed SFEM, the random vertical deflection of a high-speed railway (HSR) bridge is analyzed by considering the random fields of material properties under the moving load of a train.

#finite element method #point estimate method #railway bridge #random dynamics #stochastic field

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