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In this paper, a virtual work error estimator is defined to express the discrepancy between a real structure and the analytical model, with which a system identification scheme is developed. Moreover, an adaptive parameter grouping method is applied to deal with the sparsity of data. In order to obtain the relationship between the input error and the output error, Monte Carlo method is used to simulate the measured data with error. Based on the identified results, the normal distribution of estimated parameters can be assumed. As a statistical approach, Hypothesis test is introduced for damage assessment. Using one solution in the sample, the status of an existing structure is statistically evaluated by locating and assessing the damage of elements. The proposed scheme is proved effective through numerical example.

Virtual Work Error Estimator for Statistical Evaluationof Existing Structure from Static Response