ABSTRACT

In this study, the dynamical stability of spinning axially graded micro and nanotubes transporting fluid rested on the Kerr foundation is analyzed. A detailed parametric study is performed to clarify the effect of various factors such as axial material gradation and size-dependent parameters on the divergence and flutter instability thresholds of the system. To model the micro and nanofluidic systems, modified couple stress theory (MCST) and nonlocal strain gradient theory (NSGT) are implemented, respectively. The backward and forward vibrational frequencies, as well as critical divergence spin and fluid velocities of the system, are obtained. It is concluded that the stability evolution of spinning micro and nanostructures containing fluid can be altered by fine-adjustment of axial material gradation. Besides, it is found that the enhancement of elastic modulus gradient, strain gradient, material length scale, and foundation parameters improve the dynamical stability of the small-scale structures.

摘要

在这项研究中，分析了基于克尔基础的旋转轴向梯度微纳米管输送流体的动态稳定性。进行了详细的参数研究，以阐明轴向材料级配和尺寸相关参数等各种因素对系统发散和颤振不稳定性阈值的影响。为了模拟微流体和纳米流体系统，分别实施了修正耦合应力理论 (MCST) 和非局部应变梯度理论 (NSGT)。获得了系统的后向和前向振动频率，以及临界发散自旋和流体速度。得出的结论是，可以通过微调轴向材料级配来改变含有流体的纺丝微米和纳米结构的稳定性演变。除了，