Robustness Assessment of Static Structures for Efficient Object Handling

This work establishes a solution to the problem of assessing the robustness of multi-object assemblies to external forces. Our physically-grounded approach handles arbitrary static structures made from rigid objects of any shape and mass distribution without relying on heuristics or approximations. The result is a method that provides a foundation for autonomous robot decision-making when interacting with objects in frictional contact. Our strategy decouples slipping from toppling, enabling independent assessments of these two phenomena, with a shared robustness representation being key to combining the results into an accurate robustness assessment. Our algorithms can be used by motion planners to produce efficient assembly transportation plans, and by object placement planners to select poses that improve the strength of an assembly. Compared to prior work, our approach is more generally applicable than commonly used heuristics and more efficient than dynamics simulations.