摘要
为探究施加以初始旋转的垫圈在钢棒上的运动状态及各因素对垫圈稳定进动角速度的影响,以2022年全国大学生物理学术竞赛(CUPT)“棒上环”为基础,对钢棒上垫圈的运动状态进行分析,结合角动量定理及牛顿经典力学定律,得到单点悬浮旋转的边界条件,利用拉格朗日方程,分析了垫圈章动的原因并对单点旋转滑动阶段给出推导分析,根据欧拉方程式得到垫圈双点稳定旋转阶段进动角速度的表达式,进行改变垫圈内外半径、钢棒半径等多种实验,用Origin软件对实验数据进行拟合分析,探究各因素对垫圈稳定进动角速度的影响。
In order to explore the motion state of the initially rotating washer on a steel bar and the influence of all factors on washer stabilizing the precession angular velocity,the study analyzes the motion state of washers on steel rods based on 2022 China Undergraduate Physics Tournament(CUPT)“upper bar ring”,obtains boundary conditions for a single point suspension rotation through combining with Angular momentum theorem and Newton’s laws of classical mechanics,obtains boundary conditions of single point suspension rotation,analyzes the causes of gasket and nutation,and provides derivation analysis of single rotation sliding stage based on lagrange equation.According to Euler’s equation,the expression of the precession angular velocity of the gasket in the phase of steady rotation with two points is obtained.Various experiments are done,such as changing the inside and outside radius of the gasket,and the steel bar radius.Origin software is used for fitting analysis of experimental data.The influence of various factors on the stable precession angular velocity of washer is investigated.
作者
杨成晓
杨澔正
杨成燕
刘慧
Yang Chengxiao;Yang Haozheng;Yang Chengyan;Liu Hui(College of Advanced Manufacturing Engineering,Hefei University,Hefei 230601,China;School of Physical Science and Technology,Inner Mongolia University,Hohhot 010021,China;School of Textile Science and Engineering,Xi’an Polytechnic University,Xi’an 710048,China)
出处
《黑龙江科学》
2023年第4期45-47,共3页
Heilongjiang Science
基金
安徽省高校自然科学研究重点项目(KJ2020A0652)
安徽省课程思政示范课项目(2021kcszsfkc360)
安徽省高校优秀青年人才支持计划项目(gxyq2022071)
大学生创新创业训练计划项目(202111059019,202111059071)。
关键词
棒上环
初始旋转
运动状态
稳定进动角速度
Upper bar ring
Initial rotation
Motion state
Steady precession angular velocity
