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Damage alarming analysis for ancient wood structures based on wavelet packet energy spectrum

Xin Wang (School of Engineering, Xi’an University of Architecture and Technology, Xi’an, China)
Wei Bing Hu (School of Engineering, Xi’an University of Architecture and Technology, Xi’an, China)
Zhao Bo Meng (School of Architecture & Civil Engineering, Liaocheng University, Liaocheng, China)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 4 November 2014

Abstract

Purpose

The purpose of this paper is to establish the damage alarming indexes for ancient wood structures and study the damage sensitivity and noise robustness of these indexes under random excitation.

Design/methodology/approach

Xi’an Bell Tower is taken as a case in this paper to simulate the damage of ancient wood structures through finite element (FE) simulation and determine the satisfactory damage alarming indexes with wavelet packet energy spectrum.

Findings

The results of this paper show that: 1) the damage alarming indexes can effectively identify the damage of ancient wood structures, each index with a different damage sensitivity; 2) the energy ratio deviation is greater than the energy ratio variance and is close to the maximum variation of energy ratio; 3) the energy ratio deviation has a better alarming effect than the energy ratio variance during the initial period of the damage. With the accumulation of the damage, the energy ratio variance outperforms the energy ratio deviation; 4) the sensitivity of the energy ratio deviation and variance varies from positions, changing from the highest to lowest at the mortise-and-tenon joints, the beam mid-span and the plinth; 5) if signal to noise ratio (SNR) is 40db or larger, the indexes can accurately identify the damage of ancient wood structures. As SNR increases, the indexes will have an increasingly higher sensitivity and certain ability to resist noise.

Research limitations/implications

The FE model is simpiy, it does not completely reflect Xi’an Bell Tower.

Practical implications

It will provide a theoretical basis for the damage alarming of Xi’an Bell Tower.

Social implications

It makes structural health monitoring through structural vibration response under ambient excitation a new research field in damage detection as well as a positive way of ancient architecture protection.

Originality/value

This paper studies the damage alarming effect on ancient wood structures from different wavelet functions and wavelet packet decomposition levels. To study the effect under white noise environment, this paper adds Gaussian white noise with a SNR of 10, 20, 30, 40 and 50 db to the acceleration response signal of intact structure and damaged structure.

Keywords

Acknowledgements

The work was supported by the National Natural Science Foundation of China (51378245), the National Director Foundation of China (51248003), Shaanxi Science and Technology Research and Development Projects (2013K13-02-08). These supports are gratefully acknowledged.

Citation

Wang, X., Bing Hu, W. and Bo Meng, Z. (2014), "Damage alarming analysis for ancient wood structures based on wavelet packet energy spectrum", Multidiscipline Modeling in Materials and Structures, Vol. 10 No. 4, pp. 593-610. https://doi.org/10.1108/MMMS-11-2013-0069

Publisher

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Emerald Group Publishing Limited

Copyright © 2014, Emerald Group Publishing Limited