New publication from the Form Finding Lab, now available in Computer Methods in Applied Mechanics and Engineering.
Our paper presents an accelerated simulation and design optimization framework for multi‑stable elastic rod networks (ERNs), with applications in adaptive structures, aerospace engineering, and soft robotics.
ERNs exhibit rich nonlinear and multi‑stable behavior, but their proximity to unstable equilibria makes conventional simulation and optimization approaches computationally challenging. To address this, we introduce a spline‑based least‑squares formulation for solving the Kirchhoff rod boundary value problem, enabling robust and efficient simulations.
The framework is applied to networks composed of bistable bigons assembled into articulated bigon arms. Benchmarks demonstrate significant improvements in computational efficiency and robustness compared to traditional boundary value problem solvers. Building on this, we introduce a physics‑based shape optimization method that allows ERNs to be optimized to approximate target curves and end‑plane constraints. The approach is validated through numerical experiments and physical prototypes.
Reference:
Larsson, A., Hayashi, K., Adriaenssens, S. (2026). Accelerated simulation and design optimization of elastic rod networks with a spline‑based least‑squares formulation. Computer Methods in Applied Mechanics and Engineering, 456, 118925.


