Dynamics of spinning functionally graded Rayleigh tubes subjected to axial and follower forces in varying environmental conditions

• Published in: European physical journal plus 2022-01, Vol.137 (1), p.71, Article 71
• Main Authors: Zhou, Zhi-Xiang, Koochakianfard, Omid
• Format: Article
• Language: English
• Subjects: Applied and Technical Physics; Atomic; Boundary conditions; Comparative studies; Complex Systems; Composite materials; Condensed Matter Physics; Dynamic characteristics; Engineering; Environmental conditions; Equations of motion; Functionally gradient materials; Hamilton's principle; High temperature; Investigations; Low temperature; Magnetic fields; Magnetic properties; Material properties; Mathematical and Computational Physics; Mathematical models; Molecular; Nanofluids; Nanotechnology; Nanotubes; Optical and Plasma Physics; Parameters; Physics; Physics and Astronomy; Regular Article; Resonant frequencies; Size effects; Stress concentration; Systems stability; Theoretical; Theoretical analysis; Tubes; Velocity; Vibration analysis
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/s13360-021-02226-w

This investigation presented a theoretical analysis for dynamic characteristics of spinning functionally graded (FG) Rayleigh nanotubes conveying magnetic nanofluid rested on the different foundations and subjected to hygro-thermo-magnetic conditions, axial and follower forces. Material properties of the nanotube were assumed that vary in the axial direction based on exponential and power-law models. The modified nonlocal theory was adopted to capture the size effects of the structure. Governing dynamic equations of motion were obtained by applying Hamilton’s principle and were solved by the Galerkin approach. Natural frequencies and stability boundaries of the system were identified numerically. Comparative studies were performed to verify the model and solution methodology. Parametric investigations were conducted to evaluate the impacts of various parameters such as the fluid mass ratio, material characteristics, foundation parameters, environment conditions, axial and follower forces on the natural frequencies, divergence and flutter instabilities. The results revealed that contrary to the low-temperature case, natural frequencies and system stability were reduced by temperature rise in the high-temperature condition. Also, it was found that when the material properties of the downstream end are higher than those of the upstream end, ascending the FG power index leads to a more stable system.