| 外激励力作用下的轴向运动梁非线性振动的联合共振 |
| |
| 引用本文： | 黄建亮,陈树辉. 外激励力作用下的轴向运动梁非线性振动的联合共振[J]. 振动工程学报, 2011, 24(5) |
| |
| 作者姓名： | 黄建亮 陈树辉 |
| |
| 作者单位： | 中山大学应用力学与工程系,广东广州,510275 |
| |
| 基金项目： | 国家自然科学基金资助项目，中央高校基本科研业务费专项资金资助，广东省科技计划项目 |
| |
| 摘 要： | 研究轴向运动梁在外激励力作用下非线性振动的联合共振问题.利用哈密顿原理建立横向振动的轴向运动梁的振动微分方程,采用分离变量法分离时间变量和空间变量并利用Galerkin方法离散运动方程.采用IHB法进行非线性振动求解,分析在内共振条件且外激励作用下的联合共振问题,对周期解进行稳定性的判定.典型算例获得了不同外激励力振幅时系统非线性振动的复杂频幅响应曲线.
|
| 关 键 词： | 非线性振动 轴向运动梁 IHB法 联合共振 |
Combination resonance of nonlinear forced vibration of an axially moving beam |
| |
| HUANG Jian-liang,CHEN Shu-hui. Combination resonance of nonlinear forced vibration of an axially moving beam[J]. Journal of Vibration Engineering, 2011, 24(5) |
| |
| Authors: | HUANG Jian-liang CHEN Shu-hui |
| |
| Affiliation: | HUANG Jian-liang,CHEN Shu-hui(Department of Applied Mechanics and Engineering,Sun Yat-sen University,Guangzhou 510275,China) |
| |
| Abstract: | The combination resonance responses of nonlinear forced vibration of the axially moving beam are studied.The motion equations of the axially moving beam are derived through the Hamilton's Principle and discretized by the Galerkin's method.The IHB method is employed to solve the nonlinear vibration equations and to analyze the combination resonance of the system with internal resonance and forced vibration.And stability of the periodic solutions is studied.Numerical results show the complicated frequency-amp... |
| |
| Keywords: | nonlinear vibration axially moving beam IHB method combination resonance |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
