定轴转动过程中珠子多体动力学研究  

Study on Multi-Body Dynamics of Beads Based on Fixed Axis Rotation

作　　者：赵建策 李晨曦 齐景江 王耀浥 王珩 李文博[1] ZHAO Jianze;LI Chenxi;QI Jingjiang;WANG Yaoyi;WANG Heng;LI Wenbo(Shenyang University of Aeronautics and Astronautics,Shenyang 110136,China;Beijing Normal Univer-sity,Beijing 100875,China)

机构地区：[1]沈阳航空航天大学,辽宁沈阳110136 [2]北京师范大学,北京100875

出　　处：《河南科技》2022年第1期33-36,共4页Henan Science and Technology

基　　金：国家自然基金项目“基于消除光栅衰减的高性能光致聚合全息存储材料研究”(No.11604223);辽宁省教育厅科研项目“适于体全息存储的新型光致聚合物材料研制及其光动力学研究”(No.JYT19047);辽宁省自然科学基金项目“高性能光致聚合信息存储材料应用研究”(No.2019-ZD-0222);国家级大学生创新创业训练计划项目“基于Ansys有限元分析无人机结构设计与分析”(No.202110143007)。

摘　　要：为了研究在定轴转动过程中珠子的动力学运动规律,本文通过珠子的拉格朗日学方程,建立了珠子的一般运动学方程。基于珠子的运动学方程提出了修正摩擦力并从能量角度出发分析了珠子的角速度随角度的变化情况,同时分析了不同摩擦系数条件下珠子角速度与平衡位置的变化。本试验设计了一套能够满足要求的装置,结合试验数据与理论公式分析了二者的符合程度。结论表明:通过多组试验数据拟合,珠子的运动平衡情况基本与理论一致,珠子的角速度运动方程与试验数据基本吻合。摩擦系数的改变能够在较小范围内引起角速度数值的变化,而珠子的平衡位置与摩擦系数的大小基本无关。In order to study the kinetic motion of the bead during the rotation of the fixed axis, the general kinematic equations of the bead are established by the Lagrangian equations of the bead. A modified friction force is proposed based on the kinematic equation of the bead and the variation of the angular velocity of the bead with the angle is analyzed from the energy point of view. The variation of the angular velocity of the bead with the equilibrium position under different conditions of friction coefficient is also analyzed. The experiment is designed to meet the requirements of a set of devices, combined with the experimental data and theoretical equations to analyze the degree of compliance between the two. The conclusion shows that the equilibrium of the beads’ motion is basically consistent with the theory through the fitting of several sets of experimental data, and the equation of motion of the angular velocity of the beads is basically consistent with the experimental data. The change of friction coefficient can change the value of angular velocity in a small range, and the equilibrium position of the beads is independent of the friction coefficient.

关 键 词：多体动力学 定轴转动 拉格朗日方程 

分 类 号：O41[理学—理论物理]