热磁弹性耦合作用下扁锥壳非线性动态响应分析

来源 :2014年全国固体力学学术大会 | 被引量 : 0次 | 上传用户:zhang_jun
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  本文对处于随时间变化磁场中扁锥壳的热磁弹性的动态响应进行了研究,分析在机械载荷、电磁场和温度场耦合作用下扁锥壳的位移和应力动态响应行为。基于麦克斯韦方程和欧姆定律,导出了电磁场控制方程;基于焦耳热效应、热传导方程以及热平衡方程,导出温度场的控制方程;基于经典板壳非线性运动方程且考虑洛伦磁力和温度应力的耦合作用,导出扁锥壳的非线性热磁弹性控制方程。采用分离变量法对电磁场和温度场控制方程进行求解,采用Galerkin方法对非线性弹性场控制方程进行求解,得到了在外加磁场和表面均布载荷耦合作用下的温度、磁场、应力和位移随时间变化的规律;讨论了边界条件、几何参数以及外加磁场的变化频率对扁锥壳的应力和位移波形的影响。
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