摘要
从拉格朗日方程出发,分析了几种常见的线性弹簧组合,对作非线性振动弹簧振子进行了数值求解.当作微小振动时,正好是几种典型的非线性振动.通过计算得出解析解并与数值解进行了对比.
The motions of several kinds of common linear spring combination are studied using the Lagrange function method. Numerical solutions are obtained for non simple harmonic vibrations. The results show that the solutions for small vibrations belong to certain typical non-linear oscillations. The analyticl and numerical solutions are also compared.
出处
《大学物理》
北大核心
2008年第2期25-28,共4页
College Physics
基金
四川省"大学物理"精品课程项目资助(川教函[2005]55号)
关键词
组合线性弹簧
非线性振动
数值解
微小振动
解析解
combined linear spring oscillator
non-linear oscillation
small vibration
numerical solution
analysis solution
