Damage Analysis Method for Multiple Damaged Elements Using Frequency Responses

Abstract eng:
This paper develops the ‘Damage Analysis Method’ to detect, locate and quantify multiple damages in civil structures. Damage extent coefficients are proposed to be used to locate and quantify damaged elements in structures altogether in one stage. They are obtained by solving a series of equations simultaneously. These equations are related to the degrees-offreedom and to the summation of the product of the changes in frequency responses and stiffness of each element. A numerical truss structure is used to test and compare the proposed method with the ‘Two-Stage Method’ presented by Guo and Li [17] for different damage cases ranging from single damage to multiple damages. The results demonstrate that the proposed method locates and quantifies damages accurately. It also allows structures with multiple damages to be analyzed with high accuracy while the Two-Stage Method cannot be performed for all multiple damages scenarios. Moreover, the method works in one stage which removes the need for manual analysis and knowledge of the geometry of the structure, which are required for the Two-Stage Method.

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