Dynamic Error Analysis for Linear-Elasticity FE Problems

Over the last decades, Computer Aided Engineering affirmed as a valid design tool. Among all, Finite Elements (FE) surged as the main validation tool to assess the structural reliability, and more in general the vibrational behavior of a modern manufact. Usage of the same – already validated – models during all stages of the product lifetime is crucial to enable modern technologies such as predictive condition monitoring, digital twin, virtual sensing, damage detection. Therefore, ensuring the proper level of accuracy in FE simulation is crucial. This paper reviews a set of metrics to be used to assess the dynamic error of FE elements, or rather the accuracy of FE models used in dynamic contexts. Among all, we highlight the benefits of using a comprehensive error metric, which comprises contributions related to both eigenvalue and eigenvector accuracy. Performance of the proposed design methodology is showed considering a numerical case study, regarding the eigenvalue analysis of a cube, modelled using linear brick FEs.