Solenoids, ubiquitous in electrical engineering applications, are devices formed from a coil of wire that use electric current to produce a magnetic field. In contrast to typical electrical engineering applications that pertain to their magnetic field, of interest here is their use as actuators by studying their mechanical deformation. An analytically tractable model of parallel, coaxial circular rings is used to find the solenoid’s axial deformation when subjected to a combined electrical (current) and mechanical (axial force) loading. Both finite and infinite solenoids are considered and their equilibrium configurations as well as their stability are investigated as functions of their geometry and applied current intensity.

螺线管在电气工程应用中无处不在，是由使用电流产生磁场的线圈形成的装置。与涉及其磁场的典型电气工程应用相比，这里感兴趣的是通过研究它们的机械变形将它们用作致动器。平行同轴圆环的分析易处理模型用于查找螺线管在受到电气（电流）和机械（轴向力）联合载荷时的轴向变形。考虑了有限和无限螺线管，并研究了它们的平衡配置及其稳定性作为它们的几何形状和施加的电流强度的函数。