Third Order Rigidity

Third-order rigidity, a concept describing the resistance of structures to higher-order deformations beyond simple bending, is currently being refined and extended through global analysis approaches that move beyond local mobility assessments. Research focuses on developing robust methods for inferring rigidity from heterogeneous data, often employing probabilistic models like Gaussian processes or neural networks, and adapting these models to handle inconsistencies and missing data in hierarchical structures. These advancements have implications for structural health monitoring, uncertainty quantification in engineering, and the development of more adaptable and robust artificial intelligence systems.