Improved Reduced-Order Model for Real-Time Stress Evaluation in Dynamic Analysis

In this study, we propose an advanced method for real-time stress evaluation in dynamic systems using an improved reduced-order model (ROM) technique. The proposed approach utilizes algebraic dynamic condensation, where global mass and stiffness matrices are partitioned into smaller, independent sub-matrices through an algebraic sub-structuring process. This method defines substructures and interface boundaries from an algebraic perspective, enabling efficient dimensional reduction. The reduction framework consists of three primary steps: sub-structural stiffness condensation, interface boundary condensation, and sub-structural inertial effect condensation. Using the reduced matrices, the method efficiently calculates displacements in transient response analysis, which are then used to evaluate real-time stress histories. To validate the accuracy and computational efficiency of the proposed approach, numerical examples are analyzed and compared with results obtained from commercial finite element software. The findings demonstrate the potential of this technique for real-time structural analysis and stress evaluation in dynamic systems.