Stability and dynamic analysis of Rayleigh functionally graded porous beams with longitudinal motion in hygro-thermo-magnetic environments

Authors

1 M.Sc., Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University Tehran, Iran

2 Ph.D., Mechanical Engineering, Tarbiat Modares University, Tehran, Iran

Abstract

In this research, the influence of hygro-thermo-magnetic fields on the dynamics of axially moving functionally graded beams is investigated by considering various porosity models. Also, parametric studies are performed to clarify the effects of rotary inertia factor, visco-Hetenyi substrate, material power index, follower force, and boundary conditions on vibration frequencies and instability threshold. The mechanical properties are graded transversely according to a power law. Different uniform and non-uniform porosity models are considered. The beam vibrates in variable moisture and humidity conditions and is under an external longitudinal magnetic field. The dynamical equation is derived based on generalized Hamilton’s principle and Rayleigh beam theory assumptions. With the aid of the Galerkin method, the eigenvalue problem is solved and frequency characteristics and instability boundaries are determined numerically. The axial velocity related to static instability is determined analytically. The results show that by increasing the porosity of the system with the first type of non-uniform porosity, the stability improves. Similar to hygro-thermal environments, the critical axial velocity decreases by increasing the power index. It is proved that the stability decreases/increases by increasing the rotary inertia factor/magnetic field. The results can be useful for the design of axially moving inhomogeneous systems in complex environments.

Keywords

Main Subjects

References

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Journal of Solid and Fluid Mechanics
Volume 13, Issue 2
May and June 2023
Pages 1-13

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