论文标题
流体连接的悬臂硬磁性软管的非线性几何精确动力学，具有均匀且不均匀的磁化
Nonlinear geometrically exact dynamics of fluid-conveying cantilevered hard magnetic soft pipe with uniform and nonuniform magnetizations
论文作者
论文摘要
人们普遍认为，在临界流速下，悬挂的悬臂输送流体的悬挂式管道变得不稳定。此外，管道在后整口后区域进行周期性的自激发振荡。此外，当磁化管暴露于致动的平行磁场时，临界流速度会增加。关于致动的磁场是否导致系统恢复后区域中系统的振荡振幅是否会引起问题。为了回答这个问题，检查了在致动平行磁场下具有均匀且非均匀磁化的流体悬臂硬磁性软管的非线性响应。在不均匀磁化的情况下，除了其残留磁通密度沿其长度变化，管道的质量密度和弹性模量除了其残留磁通密度之外。数学公式是通过非线性几何精确模型构建的，并通过与Runge-Kutta有限差方案结合使用Galerkin技术来解决。然后分析数值结果，以揭示在不存在和存在磁场的情况下，磁化强度在系统的磁性弹性响应中的作用。
It is generally acknowledged that a hanging cantilevered pipe conveying fluid becomes unstable by flutter-type instability at a critical flow velocity; moreover, the pipe undergoes periodic self-excited oscillations in the post-flutter region. Additionally, the critical flow velocity increases when the magnetized pipe is exposed to an actuating parallel magnetic field. The question arises as to whether the actuating magnetic field leads to lessening the oscillation amplitude of the system in the post-flutter region. To answer the question, the nonlinear responses of a fluid-conveying cantilevered hard magnetic soft pipe with uniform and nonuniform magnetizations under an actuating parallel magnetic field are examined. In the case of the nonuniform magnetization, the mass density and elastic modulus of the pipe in addition to its residual magnetic flux density vary along its length. The mathematical formulation is constructed via a nonlinear geometrically exact model and is solved by employing the Galerkin technique in conjunction with the Runge-Kutta finite difference scheme. The numerical results are then analyzed to reveal the role of magnetization in the magneto-hydro-elastic responses of the system in the absence and presence of magnetic field.
