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| 三边简支载流薄板在交变磁场中的稳定性分析 | |
| 引用本文： | 王知人,王继利,白象忠.三边简支载流薄板在交变磁场中的稳定性分析[J].机械强度,2011,33(6). |
| 作者姓名： | 王知人 王继利 白象忠 |
| 作者单位： | 1. 燕山大学理学院,秦皇岛066004;中国科学院力学研究所国家非线性连续介质力学重点实验室(LNM),北京100080 2. 燕山大学理学院,秦皇岛,066004 3. 燕山大学建筑工程与力学学院,秦皇岛66004 |
| 基金项目： | 国家自然科学基金(50875230); 2010年中科院力学所非线性连续介质力学重点实验室(LNM)资助项目~~ |
| 摘 要： | 针对三边简支、一边自由的载流矩形薄板,利用马丢方程解的稳定性,研究在交变磁场与机械载荷共同作用下的磁弹性稳定性问题.在导出载流薄板在电磁场与机械载荷共同作用下的磁弹性动力稳定方程的基础上,应用伽辽金原理将方程整理为马丢方程的标准形式.利用马丢方程系数的本征值关系,得出载流薄板磁弹性动力失稳临界状态的判别方程.通过具体算例,给出该矩形薄板在交变磁场中,动力失稳临界状态与相关参量之间的关系曲线及变化规律,并与均匀磁场中情形相比较.研究结果表明:变化电磁场的性质和大小,改变通电电流参数,均可改变电磁力的状态,从而达到控制载流薄板稳定性的目的. |
| 关 键 词： | 磁弹性 交变磁场 稳定性 马丢方程 |
STABILITY ANALYSIS OF A RECTANGULAR THIN CURRENT CARRYING PLATE SIMPLY SUPPORTED AT THREE EDGES IN AN ALTERNATING MAGNETIC FIELD |
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| WANG ZhiRen , WANG JiLi , BAI XiangZhong.STABILITY ANALYSIS OF A RECTANGULAR THIN CURRENT CARRYING PLATE SIMPLY SUPPORTED AT THREE EDGES IN AN ALTERNATING MAGNETIC FIELD[J].Journal of Mechanical Strength,2011,33(6). | |
| Authors: | WANG ZhiRen WANG JiLi BAI XiangZhong |
| Affiliation: | WANG ZhiRen1,2 WANG JiLi1 BAI XiangZhong3 (1.College of Sciences,Yanshan University,Qinhuangdao 066004,China)(2.State Key Laboratory of Nonlinear Continuum Mechanics(LNM),Institute of Mechanics,Chinese Academy of Sciences,Beijing 100080,China)(3.College of Civil Engineering and Mechanics,China) |
| Abstract: | For a current carrying rectangular plate which is simply supported at three edges,the magnetic-elasticity steady problem of the plate applied mechanical load in an alternating magnetic field is studied by using the solution's stability of the Mathieu equation.Based on deriving the magnetic-elasticity dynamic stability equation of the plate applied mechanical load in a magnetic field,the equation is changed into the standard form of the Mathieu equation by using the Galerkin method.The criterion equation of ... |
| Keywords: | Magnetic-elasticity Alternating magnet field Stability Mathieu equation |
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