文献类型：期刊文献

中文题名：能量法分析重力和点电荷双场联合作用下的微幅摆动

英文题名：ON THE MICRO-AMPLITUDE VIBRATION OF A PENDULUM IN THE SIMULTANEOUS FIELD OF THE GRAVITY AND POINT CHARGE BY THE ENERGY METHOD

作者：陈奎孚[1];陈雷[1];蔡春[2]

第一作者：陈奎孚

机构：[1]中国农业大学理学院;[2]北京联合大学应用文理学院

第一机构：中国农业大学理学院,北京100083

年份：2016

卷号：26

期号：6

起止页码：25-30

中文期刊名：物理与工程

外文期刊名：Physics and Engineering

收录：CSTPCD

基金：北京市属高等学校高层次人才引进与培养计划项目(CIT&TCD201404080)

语种：中文

中文关键词：摆;点电荷;振动;能量法;自然坐标系

外文关键词：pendulum; point charge; vibration; energy method; natural coordinate system

摘要：单摆是经典的教学案例.为了丰富教学材料,文章分析了点电荷场和重力场联合作用下的摆动.采用了适合于单自由度的自然坐标系描述系统,使用了适合于复杂力学的能量法建立动力学方程.针对固定点电荷处于摆悬挂点垂线的特殊情形,通过理论分析界定了摆球最低、倒立和倾斜等平衡位置的参数范围.
The simple pendulum is a typical teaching case.To enrich teaching materials,we studied the micro-amplitude pendulum vibration caused by the simultaneous point charge and gravity fields.The system is described by the natural coordinate system,which is apt to the single-degree-of-freedom case investigated here.The dynamics equation is evolved from the energy method,which is more concise than the free-body-diagram method for the complex system in this study.After a general analysis,we focus on a particular case wherein the point charge is at the vertical line passing through the pendulum suspension point.Theoretical analysis indicates that this particular case is characterized with three types of stable balance.The three types are the ordinary,the inverted and the oblique distinguished by the pendulum rope＇s inclination.Their parametric domains are delimited.