Numerical modeling of static equilibria and bifurcations in bigons and bigon rings

In this study, we explore the mechanics of a bigon and ring from combination experiments numerical simulations. A is simple elastic network consisting two initially straight strips that are deformed to intersect with each other through fixed intersection angle at end. novel multistable structure composed series bigons arranged form loop. We find usually contains several families stable states one them multiply-covered loop, which similar folding behavior bandsaw blade. To model rings, propose framework combining existing techniques study networks thin strips. Each strip modeled as Kirchhoff rod, entire formulated two-point boundary value problem (BVP) can be solved by general-purpose BVP solver. Together continuation, apply static equilibria bifurcations rings. Both experimental results show aspect ratio strip's cross section contribute bistability multistability ring; latter also depends on number cells in ring. The further reveal interesting connections among various Our applied general rod may contain flexible joints, naturally curved different lengths, etc. behaviors inspire design deployable morphable structures