| 弹簧螺旋摆系统非线性振动的理论研究 |
| |
| 引用本文： | 石玉仁,张娟,李东升,耿碧玉.弹簧螺旋摆系统非线性振动的理论研究[J].大学物理,2010,29(10). |
| |
| 作者姓名： | 石玉仁 张娟 李东升 耿碧玉 |
| |
| 作者单位： | 西北师范大学,物理与电子工程学院,甘肃,兰州,730070 |
| |
| 基金项目： | 教育部科学技术研究重点项目，西北师范大学科技创新工程，西北师范大学大学生科技创新项目资助课题 |
| |
| 摘 要： | 运用牛顿第二运动定律对弹簧螺旋摆系统建立了模型方程,该方程为一组非线性微分方程,表明该系统具有复杂的非线性特征.理论分析表明,当系统固有的振动频率和摆动频率之比为2时,自由振动的弹簧螺旋摆系统存在内共振现象,数值求解结果证实了这一结论.并认为在一般情况下,弹簧螺旋摆系统的自由振动可能是准周期的.
|
| 关 键 词： | 弹簧螺旋摆 非线性振动 内共振 |
Theoretical investigation on nonlinear vibration for a spring-spiral-pendulum system |
| |
| SHI Yu-ren,ZHANG Juan,LI Dong-sheng,GENG Bi-yu.Theoretical investigation on nonlinear vibration for a spring-spiral-pendulum system[J].College Physics,2010,29(10). |
| |
| Authors: | SHI Yu-ren ZHANG Juan LI Dong-sheng GENG Bi-yu |
| |
| Institution: | SHI Yu-ren,ZHANG Juan,LI Dong-sheng,GENG Bi-yu(College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou,Gansu 730070,China) |
| |
| Abstract: | The motion equations of a spring-spiral-pendulum system are derived by using the Newton's second law.The equations are a set of nonlinear ordinary differential equations which indicate that there exist complex dynamical structures in a spring-spiral-pendulum system.Theoretical analysis shows that there exists an internal resonance phenomenon,which is verified by the numerical results,when the system of spring-spiral-pendulum vibrating is freely.For the general case,we believe that the motion of a vibrating ... |
| |
| Keywords: | spring-spiral-pendulum nonlinear vibration internal resonance |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
