| 电磁与周期载荷作用下导电薄板的稳定性分析 |
| |
| 引用本文： | 李晶,;周小利.电磁与周期载荷作用下导电薄板的稳定性分析[J].唐山学院学报,2014(3):8-11. |
| |
| 作者姓名： | 李晶 ;周小利 |
| |
| 作者单位： | [1]唐山学院基础教学部,河北唐山063000; [2]河北工程大学土木工程学院,河北邯郸056038 |
| |
| 基金项目： | 河北省自然科学基金项目（E2010001254） |
| |
| 摘 要： | 基于麦克斯威尔方程,给出导电薄板的非线性磁弹性振动方程,以及磁场环境下的电动力学方程和电磁力表达式。在此基础上,应用伽辽金法导出相应的非线性振动微分方程组,研究横向恒定磁场中周期载荷作用下梁式薄板的稳定性问题。根据李雅普诺夫近似稳定性理论,对稳态解的稳定性进行分析,得到稳定性的判定条件。通过对算例特征值的求解对振动的稳定性进行分析。
|
| 关 键 词： | 磁弹性 导电薄板 周期载荷 组合共振 稳定性 特征值 |
A Stability Analysis of Current-conducting Thin Plate under Electromagnetism and Periodic Load |
| |
| Institution: | LI Jing, ZHOU Xiao-li (1. Department of Fundamental Teaching, Tangshan College, Tangshan 063000, Chinas 2. College of Civil Engi neering, Hebei University of Engineering, Handan 056038, China) |
| |
| Abstract: | Based on the Maxwell equations,the authors of this paper work out the nonlinear mag-neto elastic vibration equation of the thin conductive plate,the dynamic equation and the electro-magnetic force expression in the field environment.On this basis,nonlinear vibration differential equations are derived by using Galerkin method to study the stability of beam sheets under the pe-riodic load of transverse constant magnetic field.According to Lyapunov’s stability theory of ap-proximation,the authors study the stability of steady-state solutions,get the decision conditions of stability and analyze the stability of numerical examples according to their eigenvalues. |
| |
| Keywords: | magnetostriction current-conducting thin plate periodic load combination reso-nance stability eigenvalue |
| 本文献已被 维普 等数据库收录！ |
|
