Dynamic control of supported macro/micro-tubes conveying magnetic fluid utilizing intelligibly designed axially functionally graded materials

ABSTRACT

In this study, dynamic modeling of an elbow axially functionally graded (AFG) macro/micro-tube carrying magnetic flow with different cross-sections is considered. Parametric optimization is performed for vibration suppression of such fluid-interaction systems. Implementing computer simulations, passive vibration control procedures, along with the effect of AFG materials and magnetic properties of the fluid as well as precisely manufactured geometry of the system, is investigated. It is assumed that the material characteristics of the system vary in the longitudinal direction based on exponential and power-law distribution profiles. Influence of the downstream inclination angle and cross-section area on the stability of the system is studied. The governing dynamical equation of the system is derived. Fundamental frequency and critical fluid velocity of the system are obtained. It is demonstrated that both circular cross-section area configuration and an increase in elbow inclination angle result in system stability enhancement. It is also shown that AFG materials can significantly enhance the fundamental frequency and stability threshold of the system in comparison with uniform materials. Undoubtedly, modeling and proposed control approaches can facilitate the design of macro/microstructures transporting fluid.

KEYWORDS:

• Passive vibration control
• intelligibly axially functionally graded materials
• macro/micro-tubes
• strain gradient theory
• critical fluid velocity

Acknowledgments

This paper is supported by Shaanxi Innovation Capability Support Plan (Grant: 2019PT-19), Shaanxi Natural Science Basic Research Project (Grant: S2019-JC-YB-2897), and Research Project of Graduate Education and Teaching Reform of Xi’an Technological University in 2017.

Disclosure statement

No potential conflict of interest was reported by the authors.