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载流圆锥薄壳的磁弹性应力与变形分析
引用本文:谢子令,胡波,白象忠.载流圆锥薄壳的磁弹性应力与变形分析[J].固体力学学报,2004,25(2):125-130.
作者姓名:谢子令  胡波  白象忠
作者单位:中国科学院力学研究所非线性力学国家重点实验室(LNM),北京,100080;燕山大学建筑工程与力学学院,秦皇岛,066004;中国科学院力学研究所非线性力学国家重点实验室(LNM),北京,100080;燕山大学建筑工程与力学学院,秦皇岛,066004;中国科学院力学研究所非线性力学国家重点实验室(LNM),北京,100080;燕山大学建筑工程与力学学院,秦皇岛,066004
基金项目:国家自然科学基金 ( 5 0 2 75 12 8)资助
摘    要:在建立旋转壳体的非线性磁弹性运动方程的基础上,研究了电磁场和机械载荷联合作用下载流圆锥薄壳的磁弹性效应.通过算例,得到了载流圆锥薄壳的位移及应力与通电电流强度之间的关系.解决了圆锥薄壳顶点处的奇异性问题,给出了轴对称条件下的数值解.计算结果表明:改变通电电流强度,可以改变载流圆锥薄壳的应力与变形状态,达到控制圆锥薄壳的受力与变形的目的.

关 键 词:载流圆锥薄壳  磁弹性  应力  变形
修稿时间:2002年11月26

ANALYSIS OF MAGNETO-ELASTIC STRESS AND DEFORMATION IN THIN CURRENT-CARRYING CONICAL SHELL
Xie Ziling , Hu Bo , Bai Xiangzhong.ANALYSIS OF MAGNETO-ELASTIC STRESS AND DEFORMATION IN THIN CURRENT-CARRYING CONICAL SHELL[J].Acta Mechnica Solida Sinica,2004,25(2):125-130.
Authors:Xie Ziling  Hu Bo  Bai Xiangzhong
Institution:Xie Ziling 1,2 Hu Bo 1,2 Bai Xiangzhong 1,2
Abstract:The magneto-elastic effects in a thin current carrying conical shells under the combined action of electro-magnetic field and mechanical load are studied based on the nonlinear magneto-elastic kinetic equations of revolutionary shells. Through specific examples,the relationships between the electric current density and the displacement and the stress in a thin current carrying conical shells are obtained. The singularity in the apex of the conical shell is solved, and the numerical solution in an axisymmetric problem is obtained too. The computed results show that the stress and deformation in the thin current carrying conical shells can be controlled by changing the electric current density.
Keywords:thin current carrying conical shell  magneto-elastic  stress  deformation
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