Instability of helices
Stable helix:
Case 1) curvature =1.0, twist=0.5 pi
Unstable helix: buckling behavior
Case 1) curvature=0, twist=3.4 pi
Case 2) curvature=0, twist=3.5 pi
When the bottom end is tethered
Case 1) curvature=0, twist=5.2 pi
Case 2) curvature=0, twist=6 pi