| Title |
A Study on Optimal Sensor Design of Static System |
| Authors |
안재형(An, Jae-Hyoung) ; 은희창(Eun, Hee-Chang) |
| DOI |
https://doi.org/10.5659/JAIK.2021.37.6.191 |
| Keywords |
Optimal Sensor Placement; Minimization; Condensation; Fisher Information Matrix; Estimation; generalized inverse matrix |
| Abstract |
One of the most important techniques utilized in the maintenance of existing structures is structural health monitoring. Innovative and
sensitive sensors as well as real-time measurement systems that can collect more accurate information and evaluate structural performance
more explicitly have been developed. Starting from the static equilibrium equation constrained by eigenvectors of stiffness matrix and
generalized coordinates, this work presents the optimal sensor placement (OSP) algorithms of D-1 and D-2 algorithms as direct method,
FIM-based approach, EI-based algorithm, and the orthogonalization methods using Gran-Schmidt orthgonalization and proper orthogonal
decomposition. The validity of the proposed methods is illustrated in a truss structure. The FIM-based approach, EI-based algorithm, and
EV-based approach indicated similar sensor locations along the entire span. It is analyzed that the difference of the OSPs comes from the
establishment of different weighting matrices, numerical approximation, and the numerically inappreciable difference during the iteration. |