Abstract
When conducting damage assessment by cross modal strain energy method, two very different approaches can be employed to solve cross modal strain energy equations. However, there are no performance comparison between these two approaches on their efficiency and effectiveness, especially under noise-polluted situations. In this article, cross modal strain energy method together with these two solving approaches, locality and wholeness approaches, is summarized, and their intrinsic features are extensively discussed. A new methodology for damage assessment is developed by combining these two approaches, in which the wholeness approach is first utilized for roughly localizing the potentially damaged members, and the final damage locations and associated extents are exactly estimated with the locality approach in the second step. To effectively investigate and compare the behavior of cross modal strain energy method, two factors, one measuring the recognition ability of damage location and the other measuring the precision of severity estimation, are introduced. A numerical simulation is conducted for a three-dimensional offshore platform structure. Both single- and multiple-damage cases, with and without noise effects, are considered. The numerical results indicate that the new methodology outperforms either approach in damage localization and severity estimation.
Highlights
Large civil engineering structures, such as suspension bridges, towers, and offshore platforms, are exposed to random actions and environmental influences continuously, which might lead to a structural deterioration or even failure
In order to further enhance the performance of MSE, Li et al.[10] proposed modal strain energy decomposition (MSED) algorithm to determine damage locations, and the numerical results had demonstrated that this method was much capable of identifying the damaged locations, especially for a three-dimensional structure
Taking damage case A as an example, when the noise level is below 1.5%, an approximate 100% correct detection probability is obtained by the wholeness approach, and at 2.5% noise level, the pd still maintains 73.5%
Summary
Large civil engineering structures, such as suspension bridges, towers, and offshore platforms, are exposed to random actions and environmental influences continuously, which might lead to a structural deterioration or even failure. The MSE algorithm,[7,8] developed from the product of stiffness matrix and second power of mode shape, has been successfully applied to the data from I-40 bridge[7] and found the most effective algorithm compared with several other investigated algorithms.[9] in order to further enhance the performance of MSE, Li et al.[10] proposed modal strain energy decomposition (MSED) algorithm to determine damage locations, and the numerical results had demonstrated that this method was much capable of identifying the damaged locations, especially for a three-dimensional structure. Extending CMSE method to locate the damages and quantify the severities simultaneously is more promising Based on this consideration, two typical hypotheses and their derivative approaches have been proposed so far. Afterwards, a^ can be substituted into equation (8) to obtain the corresponding estimate for b
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