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D型超导线圈的磁弹性弯曲和屈曲
引用本文:郑晓静,周又和.D型超导线圈的磁弹性弯曲和屈曲[J].兰州大学学报(自然科学版),1997,33(2):23-31.
作者姓名:郑晓静  周又和
作者单位:兰州大学力学系
基金项目:国家自然科学基金,甘肃省自然科学基金,国家教委优秀年轻教师基金,国家教委留学回国人员基金
摘    要:基于曲梁理论和Biot-Savart定律提出描述超导载流线圈力学行为的一个新的理论模型。通过对边值问题基本方程的半解析求解-给出封闭形式的解析通解和数值特解,所得结果可模拟载流线圈的变形、失稳全过程,获得所有的位移,应力分布,并准确预测出线圈失稳时的临界电流值。

关 键 词:载流线圈  超导线圈  磁弹性弯曲  磁弹性屈曲

Magnetoelastic Bending and Buckling of D shaped Superconducting Coil
Zheng Xiaojing,Zhou Youhe.Magnetoelastic Bending and Buckling of D shaped Superconducting Coil[J].Journal of Lanzhou University(Natural Science),1997,33(2):23-31.
Authors:Zheng Xiaojing  Zhou Youhe
Abstract:A new theoretical model for describing mechanical behavior of the current carrying superconducting coil is presented on the basis of bending theory of curved beams and the Biot Savart law. Through the solution of the boundary value problem by the semi analytical method which gives out the closed form of general solutions and numerical particular solutions to the basic equations, the deformation and buckling process is simulated, all displacements and stresses of coil are obtained, and the critical buckling current of coil is accurately predicted.
Keywords:current  carrying coil  magnetoelastic coupling effect  structural stability    semi  analytical  solution  critical current
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