Monitoring

System identification for realistic representation of existing bridges, structural diagnostics

A reliable computational model is essential for the accurate assessment of the load-bearing capacity, serviceability, and durability of existing bridges.

During monitoring and load tests, usually only external responses, such as deformations, are measured; the internal states of the structure, however, are not. These internal states are crucial for evaluating safety, serviceability, and durability.

Through system identification, the model parameters can be adjusted using measured data so that the structural behavior is represented realistically. Only then can the internal states be determined correctly.

In the following example, a new method for model updating is applied, which uses evolutionary algorithms to solve the inverse problem.

Example: Single-Span Beam

In this example, a section-wise damage is simulated on the single-span beam shown.

The task is to determine the distribution of the modulus of elasticity along the length of the beam so that the difference between the measured deformations under load and the calculated deformations is minimized, thereby identifying the damaged region.

The illustrated beam shows the damaged region as well as the locations of the "sensors" for deformation measurement (measurement points MS1–MS4).

Based on the system dimensions, the applied load, and the measured sensor deformations, the "FEM updating algorithm" is started. Its objective is to identify the distribution of the e-modulus.

The figure above illustrates the distribution of the modulus of elasticity along the beam length, as determined by the algorithm. The mean absolute error is E ≤ 10⁻⁶. The reconstructed modulus closely matches the actual damaged region, providing an almost exact representation.

Contributions to:

6. Brückenkolloquium, TAE Esslingen, 1. und 2. Oktober 2024
Systemidentifikation zur realitätsnahen Abbildung von Bestandsbrücken: Überblick, Implementierung und Beispiele

11. European Workshop on Structural Health Monitoring, Potsdam, 10.-13. Juni 2024
Differential Evolution for Finite Element Model Updating: Algorithm and Application in Structural Analysis