| 耦合场中弹性圆形薄板在混沌状态下的应力分析 |
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| 引用本文： | 杨阳,白象忠. 耦合场中弹性圆形薄板在混沌状态下的应力分析[J]. 机械强度, 2009, 31(1) |
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| 作者姓名： | 杨阳 白象忠 |
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| 作者单位： | 燕山大学,建筑工程与力学学院,秦皇岛,066004;燕山大学,建筑工程与力学学院,秦皇岛,066004 |
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| 摘 要： | 在给出圆薄板的非线性电磁弹性耦合运动基本方程及电磁力表达式的基础上,得到在横向稳恒磁场、环向电流和机械载荷共同作用下简支圆薄板的振动方程,并采用四阶Runge-Kutta法求解方程,得出圆板的弹性变形及应力状态.通过变化磁感应强度和电流密度,使系统由周期状态进入混沌状态;由分岔图与最大Lyaponov指数图判定系统是否进入混沌状态;并讨论磁场与电流对系统应力状态的影响.
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| 关 键 词： | 弹性圆薄板 机-电耦合 分岔 混沌 应力状态 |
CHAOTIC STRESS ANALYSIS OF THIN CIRCULAR ELASTIC PLATE IN ELECTRO-MAGNETIC FIELD |
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| YANG Yang,BAI XiangZhong. CHAOTIC STRESS ANALYSIS OF THIN CIRCULAR ELASTIC PLATE IN ELECTRO-MAGNETIC FIELD[J]. Journal of Mechanical Strength, 2009, 31(1) |
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| Authors: | YANG Yang BAI XiangZhong |
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| Affiliation: | Department of Civil Engineering and Mechanics;Yanshan University;Qinhuangdao 066004;China |
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| Abstract: | Base on nonlinear electro-magneto-elastic equations of the thin circular plate and the expression of electromagnetic forces,the dynamic stress equations of a thin circular plate with simply supported under the action of uniform transverse magnetic field,together with a circulating electric current,and conventional uniform distributive force,are obtained first.Then the dynamic stress problem numerically using the forth order Runge-Kutta method are solved.By taking the magnetic field and electric current as b... |
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| Keywords: | Thin circular plate Mechanical-electric coupling Bifurcation Chaos Stress state |
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