Inverse problems in experimental structural analysis

Více o knize

An important application of experimental mechanics is structural health monitoring, particularly for existing structures. This process requires identifying key structural control parameters, such as stiffness and compliance, to assess the condition of the structure. Advanced experimental methods and measurement systems provide essential information about structural displacements and their changes over time, allowing for parameter determination. This inevitably leads to inverse problems, which are addressed in the text. The first lecture defines inverse problems and discusses various theoretical solution methods, including matrix inversion, iterative algorithms, successive forward simulation, and artificial neural networks, with a detailed focus on the sensitivity matrix method. The second lecture explores practical applications of these solutions through simple examples, highlighting the challenges of selecting a definitive solution from multiple results, as different methods can yield varied outcomes that may not meet the specific problem requirements. Lecture III addresses visco-elastic material responses, focusing on time-dependent functions like creep compliance and relaxation modulus, illustrated with examples. Finally, a method is proposed for determining parameters related to aged structures with unknown historical data. These notes are valuable for practitioners engaged in health monitoring without delving deeply into