Abstract

Cloud model and D-S theory have been widely used in uncertainty reasoning. Meanwhile, modal strain energy and Inner Product Vector are also utilized as damage-sensitive features to detect structural damage. In this paper, a new structural damage identification approach is proposed based on Dempster-Shafer theory and cloud model. Cloud models were created to make uncertainty reasoning in damage structures by modal strain energy and the Inner Product Vector of acceleration. Then the results of the two methods were combined by using the Dempster-Shafer theory. Due to the classical D-S theory involves counter – intuitive behavious when the high conflicting evidences exists, the distance function was introduced to correct the conflict factor K and combine the evidences. Moreover, a model of simple beam was created to verify the feasibility and accuracy for the single-damage and the multiple-damage. The effects of noise on damage detection were investigated simultaneously. The results show that the method has strong anti-noise ability and high accuracy.

Highlights

  • In the past two decades, the security of building structure has received increasingly concern both at home and abroad especially the damage detection for structure itself

  • We find that the modal strain energy has been widely applied in structural damage detection

  • Forward cloud generator A1 is built by the damaged modal strain energy and A2 is built by the damaged acceleration inner product vector of every element

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Summary

Introduction

In the past two decades, the security of building structure has received increasingly concern both at home and abroad especially the damage detection for structure itself. Guo [5] has proposed a method based on evidence theory and modal strain energy to make damage analysis. STRUCTURAL DAMAGE DETECTION BASED ON CLOUD MODEL AND DEMPSTER-SHAFER EVIDENCE THEORY. A new method is proposed to detect the structural damage based on cloud model and Dempster-Shafer theory. In the field of structural damage identification, Qingguo Fei [11] used the modal strain energy change ratio by model shapes of different orders to locate the damage element of a fix-end beam, applied the D-S theory to fuse the results of different orders. The results show that the new method has stronger anti-noise ability and higher accuracy than modal strain energy dissipation rate

Cloud model
Modal strain energy index and inner product vector of acceleration
D-S evidence theory
Numerical example of cloud reasoning
Conclusions

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