A structural damage detection method using static noisy data

Static structural system identification for beam-like structures using compatibility conditions

“…In addition, dynamic methods require an adequate control of excitation including the elimination of spurious excitation, which was essential for precise model-shape measurement, and the resolution of measurements for dynamic response was lower than that for static response. [6] In certain circumstances, static loading might be more economical than dynamic loading. [5] Hence, when only stiffness identification is required, static SSI might be more attractive than dynamic SSI.…”

“…In most cases, measurement errors are assumed to follow the normal distribution with zero mean. [6,34] One way to mitigate the adverse effect of measurement errors is to use weight factors. [5] Each displacement was measured repeatedly, and the variance in those measured values was calculated.…”

“…In both probabilistic and deterministic methods, optimization technique is closely involved. The objective of the optimization might be minimizing the discrepancy between the measured response and the predicted response, for example, displacements, [4,5] strains, [2,5] loads vector, [5,6] acceleration, [18] mode shapes and frequencies, [9] or maximizing the sensitivity of the frequency response functions. [19] Observability Method (OM) is a mathematical tool dealing with the observability, that is, the existence and the uniqueness of the solution of a system of equations (or a subset of it).…”

“…A comprehensive description and the associated categories of SSI are provided in the technical report of the American Society of Civil Engineers. [1] These categories include static [2][3][4][5][6][7] and dynamic excitations, [8][9][10][11][12][13][14] parametric [3,5] and non-parametric models, [8,[15][16][17] deterministic [2,[4][5][6]9,18,19] and probabilistic approaches. [10,[20][21][22][23][24] For both static and dynamic SSI methods, structural responses have to be measured to provide the necessary information.…”

Damage Detection of Flexural Member by Estimated Moment Diagram

“…Chen et al (2005) [8] presented a two-stage damage identification algorithm to use the change of measured static displacement curvature and grey system theory. Bakhtiari-Nejad et al (2005) [9] presented a method to describe the change in the static displacement of certain degrees of freedom by minimizing the difference between the load vectors of damaged and undamaged structures. Wang et al (2001) [10] proposed a twostage identification algorithm for identifying the structural damages by employing the changes in natural frequencies and measured static displacements.…”