具有变化的截面半径的螺旋丝
Helical filaments with varying cross section radius
摘要：
本文在基尔霍夫杆模型的框架内研究了变截面半径螺旋杆的三维构形和扭转密度。结果表明，扭转密度随截面半径的减小而增大。螺旋状杆的一些三维配置显示显示这里考虑的非均匀性的影响。由于非均匀杆的螺旋形解不呈现常曲率和常挠率，因此给出了这些量的一组微分方程。我们讨论了结果和可能的后果。
英文摘要：
The tridimensional configuration and the twist density of helical rods with varying cross section radius are studied within the framework of the Kirchhoff rod model. It is shown that the twist density increases when the cross section radius decreases. Some tridimensional configurations of helix-like rods are displayed showing the effects of the nonhomogeneity considered here. Since the helix-like solutions of the nonhomogeneous rods do not present constant curvature and torsion a set of differential equations for these quantities is presented. We discuss the results and possible consequences.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
