MICE超导耦合磁体线圈等效弹性模量辨识

Identification for effective module of MICE coupling magnet

应用于"μ介子离子化冷却实验装置(MICE)"的超导耦合磁体系统是MICE中的三大关键设备之一。耦合磁体线圈内径为1 500mm,长度为285mm,厚度为110.4mm,采用方形截面1.65×1.00mm2的NbTi复合超导线。每层导线之间为环氧和绝缘玻璃纤维布,每匝导线之间为环氧,线圈具有复杂的正交各向异性性质。根据线圈横截面细观结构的周期性,选出单根导线与周围的绝缘材料为代表性体积元(Representative Volume Element,RVE),基于能量等效原理得出线圈等效弹性模量的含义,然后根据细观力学有限元法,采用有限元软件计算了不同边界条件下细观结构代表性体积元的力学响应,得出了线圈平面径向和环向等效弹性模量,结果已经作为基础数据运用在MICE超导耦合磁体的力学计算中。

The superconducting coupling solenoid to be applied in the Muon Ionization Cooling Experiment （MICE） is one of three key equipments in MICE. It has an inner diameter of 1500 mm, length of 285 ram, thickness of 110.4 ram, and adopts copper matrix NbTi conductors with square cross area 1.65 ×1.00mm^2. The insulation material between layers is the composite of epoxy and fiberglass clothes, between turns is only epoxy. So the coil has a complex orthotropic property. In this paper, one turn of conductor and insulation materials around it are regarded as RVE （ representative volume element） according to the hypothesis of periodicity in coil cross section, and effective elastic module of the coil is presented based on energy equivalence principle. Then calculate the effective elastic module in both radial and hoop directions of the coil by the stress response under different boundary conditions in using FEA method and the results are used in the stress calculation of the MICE coupling magnets.