点击次数：

所属单位：航空学院

发表刊物：APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

关键字：Euler-Lagrange equation twisting angle pitch angle elastic rod model helical and twisted ribbon

摘要：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号：0253-4827

是否译文：否

发表时间：2017-04-01

合写作者：Xiao, Ye

通讯作者：黄再兴