Nonlinear vibration of in-extensional rotating shaft under electromagnetic load
Nonlinear vibration of in-extensional rotating shaft under electromagnetic load
复制标题
DOI：
10.1016/j.mechmachtheory.2017.10.007
复制
发表时间：
2018-03
影响因子：
5.2
通讯作者：
M. Eftekhari;A. Rahmatabadi;A. Mazidi
中科院分区：
文献类型：
--
作者：
M. Eftekhari;A. Rahmatabadi;A. Mazidi
本文研究了具有非线性曲率和陀螺效应的简支转轴在横向电磁载荷作用下的非线性振动问题。假设轴是不可伸缩的，电磁载荷取决于轴的变形。采用伽辽金级数法和多尺度摄动法求解了Hamilton原理导出的非线性运动偏方程。通过对系统的主共振进行适当的调谐，得到了转轴的调制方程。在频响图中给出了不动点的稳定性和稳态解的鞍节点分岔。结果表明，磁负载对转轴的稳态响应有显著影响。同时，考虑几何非线性效应，观察到主共振曲线的性质变化（硬化型和软化型）。
In this paper, nonlinear vibration of a simply supported rotating shaft with nonlinear curvature and gyroscopic effect under transversely electromagnetic load is investigated. It is assumed that the shaft is inextensible and electromagnetic load depends on the shaft deformations. The non-linear partial equations of motion derived by Hamilton's principle are solved using the succession of Galerkin and the multiple-scales perturbation method. By properly tuning the primary resonance of the system, the modulation equations of the rotating shaft are obtained. Stability of fixed points and saddle-node bifurcation of steady-state solution are presented in frequency response diagrams. Results show that the magnetic load has noticeable effects on the steady state response of the rotating shaft. Also, the change in qualitative nature (hardening- type, and softening- type) of primary resonance curves is observed by considering the geometric nonlinearity effects.