= Free-end bending boundary conditions
{title2=$h^{(2)}=h^{(3)}=0$}
Variation of the small-slope bending energy of an <elastic filament> gives endpoint work $A[h^{(2)}\delta h^{(1)}-h^{(3)}\delta h]$. Arbitrary endpoint displacement and slope variations force the bending moment and transverse force to vanish. These are $h^{(2)}=h^{(3)}=0$. They define a <self-adjoint> nonnegative fourth-order bending operator on a finite interval; its kernel contains rigid translation and tilt.
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