The influence of friction coefficient and line density on the motion of continuous worm-like system is studied in this paper. Frist, based on the dynamic model and the quasi-static model describing the motion of worm-like system, the two average velocities over one period are respectively derived by employing the square strain wave. Next, through comparing these two average velocities, it is found that the dynamic model cannot be simplified as quasi-static model for small friction or large linear density conditions. Then, the condition under which the influences of these parameters on the motion of worm-like system should be considered is given on the basis of relative error principle of the average velocity. Finally, through a numerical example, the two models are compared for the displacement-time histories over ten periods. It is found that the parameters of friction coefficient and line density have significant influences on the system motion in certain conditions.
JIANG Ziwang, ZHANG Huiwen.
Influence of Viscous Friction and Linear Density on the Motion of Worm-Like System[J]. Chinese Quarterly of Mechanics, 2025, 46(1): 141-150 https://doi.org/10.15959/j.cnki.0254-0053.2025.01.013