article · International Journal of Applied Mechanics
Free vibration analysis is conducted for rotating sandwich cylindrical shells operating within an axial magnetic field. The structure comprises an aluminium honeycomb core with hexagonal cells, bounded by functionally graded nanocomposite face sheets made from aluminium reinforced with uniformly distributed graphene platelets. Effective material properties are calculated using the modified Halpin-Tsai model, while the Lorentz magnetic force is determined via Maxwell relations. Five governing equations of motion incorporating this magnetic force are established using first-order shear deformation theory and Hamilton principle. Analytical solutions provide the natural frequencies of the system, verified against existing comparison cases. Numerical evaluations explore how structural response changes with magnetic field intensity, rotational speed, graphene weight fraction, core-to-face thickness ratio, geometric parameters, and vibration wave numbers.
Understanding the dynamic behaviour of rotating composite structures subjected to magnetic fields is critical for designing robust engineering components. Providing analytical equations and parametric assessments helps researchers predict how advanced nanomaterials and sandwich geometries interact under complex operating conditions, assisting in the development of lightweight structural models that withstand operational vibrations and electromagnetic effects.
This work is theoretical, early-stage research focused on analytical modelling and numerical parameter assessment. Structural and aerospace engineers could potentially use these dynamic models when conceptualising advanced rotating components, such as lightweight composite shafts or rotor casings operating in electromagnetic environments. However, because the study is entirely computational and lacks experimental physical prototyping, it remains at a low technology readiness level far from direct industrial deployment.
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This article concerns with free vibration analysis of spinning sandwich cylindrical shells with functionally graded (FG) graphene/aluminum (Al) face sheets and honeycomb core exposed to an axial magnetic field. Lorentz magnetic force is derived by using Maxwell’s relations. The face layers are made of multi-nanocomposite sheets. Each sheet is composed of an Al matrix reinforced with graphene platelets (GPLs) that are uniformly distributed through the sheet thickness. The effective material properties of the face layers of the spinning sandwich cylindrical shells are derived employing the modified Halpin–Tsai model. The honeycomb core layer is made of hexagonal aluminum cells. According to the first-order shear deformation theory and Hamilton’s principle, five governing equations are obtained involving Lorentz force. Frequencies of the present model are analytically derived from the equations of motion. The present outcomes are examined by introducing some comparison examples. The effects of the geometric parameters, magnetic field parameter, GPLs weight fraction, core-to-face thickness ratio, circumferential wave number, axial wave number and spinning speed on the vibration of spinning sandwich honeycomb cylindrical shells are numerically discussed.
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DOI: 10.1142/s1758825122500740
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