Thermal Field Recovery
Adjoint-Based Recovery of Thermal Fields From Displacement or Strain Measurements
A finite-element method dependent adjoint-based procedure to determine the temperature field of structures based on measured displacements/strains and a set of standard loads is developed and tested. Given a series of force and deformation measurements, the temperature field is obtained by minimizing the adequately weighted differences between the measured and computed values. Results show that the proposed approach can accurately reconstruct the target thermal distribution, especially when more sensors are used. Additionally, it is observed that the sensors do not need to be positioned in the region of interest; the method remains effective as long as the sensors can detect changes related to that area.
Bridge example: Sensors distribution for the 8 (top) and 20 (bottom) sensors configurations.
© Courtesy of the Chair of Structural Analysis, Technical University of Munich
Bridge example: Mesh used (top) and the target temperature distribution (bottom).
© Courtesy of the Chair of Structural Analysis, Technical University of Munich
Bridge example, 8 sensors configuration: Temperature distributions (left) and the cost function convergence plots (right) obtained without and with VM filtering.
© Courtesy of the Chair of Structural Analysis, Technical University of Munich