Dynamical stability of embedded spinning axially graded micro and nanotubes conveying fluid

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.

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