Damage Identification for Masonry Materials Based on Bayesian Inference

Abstract:

The basic frequency of masonry specimens can be obtained by dynamic tests with ambient or artificial excitation. The elastic modulus of masonry structures, as well as the damage factors, can then be determined by training their finite element models and make the calculated frequencies agree with the measured ones. Using 530 groups of dynamic test data, the damage factors of four masonry specimens were identified. The Bayesian inferences of the highly diverse measured results were conducted through a Markov Chain Monte Carlo (MCMC) sampling method, and the location of the damage was identified. The methodology was applicable, and can be used in the damage identification for other materials or structures.

• Periodical: Applied Mechanics and Materials (Volumes 405-408)
• Pages: 2498-2502
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.405-408.2498
• Online since: September 2013
• Authors: Xiang Ping Fu*, Bin Peng, Zheng Ji
• Keywords: Basic Frequency, Bayesian Inference, Damage Factor, Dynamic Test, Elastic Modulus, Masonry

References

[1] Salawu, O S. Detection of Structural Damage through Changes in Frequency: A Review. Eng. Struct. 1997, 19(9): 718-723.

DOI: 10.1016/s0141-0296(96)00149-6

[2] Guoqiang Li, Guobiao Lou. An Analytic Approach to the Identification of Component Stiffness in a Frame by Using Local Vibration Measurement[J]. Journal of Vibration. (2005) In Chinese.

[3] Jitao Yao. Statistical inference of material strength of existing structures [J]. Journal of Xi'an university of architecture & technology, 2003, 35(4): 307-311, In Chinese.

[4] Beck J L, Katafygiotis L S. Updating models and their uncertainties I: Bayesian statistical [J]. Journal of Engineering Mechanics, 1998, 124(4): 455-461.

DOI: 10.1061/(asce)0733-9399(1998)124:4(455)

[5] Katafygiotis L S, Beck J L. Updating models and their uncertainties II: Model identifiability [J]. Journal of Engineering Mechanics, 1998, 124(4): 463-467.

DOI: 10.1061/(asce)0733-9399(1998)124:4(463)

[6] Beck J L, Au S K. Bayesian updating of structural models and reliability using markov chain monte carlo simulation [J]. Journal of Engineering Mechanics, 2002, 128(4): 380-391.

DOI: 10.1061/(asce)0733-9399(2002)128:4(380)

[7] Weijian Yi, Yun Zhou, Hao Li. Damage assessment research on frame structure base on Bayesian statistical inference [J]. Engineering Mechanics, 2009, 26(5): 121-129, In Chinese.

[8] Lemaitre J. Evaluation of dissipation and damage in metals, submitted to dynamic loading [A]. In: Proc ICM-1[C], Kyoto Japan, (1971).