黏性摩擦和线密度对蠕虫型系统运动的影响  

Influence of Viscous Friction and Linear Density on the Motion of Worm-Like System

作　　者：姜子望 张会文 JIANG Ziwang;ZHANG Huiwen(School of Mathematics and Statistics,Henan University of Technology,Zhengzhou 450001,Henan,China)

机构地区：[1]河南工业大学数学与统计学院,河南郑州450001

出　　处：《力学季刊》2025年第1期141-150,共10页Chinese Quarterly of Mechanics

基　　金：河南省高等学校重点科研基金(22A130003);河南工业大学高层次人才基金(2019BS006)。

摘　　要：针对连续的蠕虫型系统的运动,本文研究了摩擦系数和线密度对该系统运动的影响.首先,以描述蠕虫型系统运动的动力学模型和准静态模型为基础,采用方应变波的驱动方式,得出了两者在一个完整周期内的平均速度.然后,通过比较这两个平均速度,发现在较小的摩擦或较大的线密度情况下,动力学模型不能简化为准静态模型.接着,基于平均速度相对误差的准则,本文给出了不能忽略这些参数对系统运动影响的条件.最后,通过一个数值算例,比较分析了由两模型得到的十个周期内的位移时程关系,结果表明了在一定条件下这些参数对该系统运动的影响较大.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.

关 键 词：蠕虫型系统 动力学模型 黏性摩擦系数 线密度 

分 类 号：O313.7[理学—一般力学与力学基础]