Affiliation of Author(s):航空学院
Journal:APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
Key Words:Euler-Lagrange equation twisting angle pitch angle elastic rod model helical and twisted ribbon
Abstract:In the framework of elastic rod model, the Euler-Lagrange equations characterizing the equilibrium configuration of the polymer chain are derived from a free energy functional associated with the curvature, torsion, twisting angle, and its derivative with respect to the arc-length. The configurations of the helical ribbons with different cross-sectional shapes are given. The effects of the elastic properties, the cross-sectional shapes, and the intrinsic twisting on the helical ribbons are discussed. The results show that the pitch angle of the helical ribbon decreases with the increase in the ratio of the twisting rigidity to the bending rigidity and approaches the intrinsic twisting. If the bending rigidity is much greater than the twisting rigidity, the bending and twisting of the helical ribbon always appear simultaneously.
ISSN No.:0253-4827
Translation or Not:no
Date of Publication:2017-04-01
Co-author:Xiao, Ye
Correspondence Author:Huang Zaixing
Date of Publication:2017-04-01