Interactive vibrations and buckling of double current-carrying strips (DCCS) are investigated in this study. Considering the rotational and transverse deformation of the strip, four coupled equations of motion are obtained using Hamilton’s principle. Using the Galerkin method, mass and stiffness matrices are extracted and the stability of the system is determined by solving the eigenvalue problem. Effects of pretension and elevated temperature on the stability of DCCS are studied for three types of materials and various arrangements. Finally, the effect of horizontal or vertical distance between strips on the critical current value is investigated. According to the results, the effects of temperature rise, pretension, and the relative distance of the strips on the instability of DCCS are found to be significant.

中文翻译：

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双载流条与磁场相互作用的振动与稳定性分析

本研究研究了双载流条 (DCCS) 的交互振动和屈曲。考虑带材的旋转和横向变形，利用哈密顿原理得到四个耦合运动方程。使用伽辽金方法，提取质量和刚度矩阵，并通过求解特征值问题来确定系统的稳定性。针对三种类型的材料和不同的排列，研究了预紧力和升高的温度对 DCCS 稳定性的影响。最后，研究了带之间水平或垂直距离对临界电流值的影响。结果表明，温升、预紧力和钢带的相对距离对 DCCS 失稳的影响是显着的。