Compare convex-concave and rectangular coil cross sections

Determine whether the convex-concave coil cross section provides more stable locking and improved stiffness than a simple rectangular coil cross section in the variable-length, force-locking continuum mechanism.

Background

The backbone uses coils with a concave top and convex bottom edge to form hinge-like contacts when compressed. The authors identify coil geometry as a possible design variable and explicitly leave unresolved whether this cross-sectional shape offers performance advantages over a simpler rectangular geometry, particularly for locking stability and stiffness.

References

Additional changes to the design of the backbone may include the coil geometry; the question remains as to whether the convex/concave cross section provides more stable locking and improved stiffness compared to a simple, rectangular cross section.

— Design and Characterization of a Variable-Length Continuum Mechanism with Force Locking  (2609.30759 - King et al., 25 Sep 2026) in Section Conclusions and Future Work