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载流圆锥薄壳的磁弹性应力与变形分析

ANALYSIS OF MAGNETO-ELASTIC STRESS AND DEFORMATION IN THIN CURRENT-CARRYING CONICAL SHELL

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【作者】 谢子令胡波白象忠

【Author】 Xie Ziling 1,2 Hu Bo 1,2 Bai Xiangzhong 1,2 ( 1 State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100080) ( 2 Department of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao,066004)

【机构】 中国科学院力学研究所非线性力学国家重点实验室(LNM),中国科学院力学研究所非线性力学国家重点实验室(LNM),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,北京,100080燕山大学建筑工程与力学学院,秦皇岛,066004

【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 .

【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.

【基金】 国家自然科学基金 ( 5 0 2 75 12 8)资助
  • 【文献出处】 固体力学学报 ,Acta Mechanica Solida Sinica , 编辑部邮箱 ,2004年02期
  • 【分类号】O343
  • 【被引频次】2
  • 【下载频次】94
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