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Time average of the writhing number 〈Wr〉 for the first six flexural modes as functions of the imposed torsional moment Û0 for periodic (left) and clamped (right) boundary conditions for the first six modes. The styles and symbols on all plots are identical to those used in Fig. 3. The insets make clear the dependence of the periodic out-of-planes modes (left) and the clamped in-plane modes (right) on small positive values of Û0.
