摘要
假设弹性势能正比于曲率平方,由变分原理,得到了重力场中旋转丝带的形状方程,并画出了图形.给出了向上竖直放置丝带开始弯曲时的临界长度精确值,以及向下竖直放置丝带开始弯曲时的临界转速与长度关系图.
The shape equation of bending rib bon is derived from variation principle with the assumption that the elastic potential is proportional to the square of curvature. The theoretical shape is drawn from numerical results. The exact critical length of up- rib bon is given and theoretical curve of critical speed of revolution via length of down- rib bon are also drawn.
出处
《物理通报》
2015年第8期15-17,共3页
Physics Bulletin
基金
国家自然科学基金,项目编号:11475062,11275067
湖州师范学院中青年教师卓越教学能力培养计划专题项目,项目编号:2014ZYJH017
关键词
弹性势能
丝带
临界值
elastic potential
rib b on
critical value
