Magneto-thermoelastic nonlinear dynamic modeling of a rotating functionally graded shell

• Published in: International journal of non-linear mechanics Vol. 165; p. 104818
• Main Authors: Hu, Yuda, Yang, Tao
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.10.2024
• Subjects: Functionally graded cylindrical shell; Magneto-thermoelastic coupling; Nonlinear dynamic; Rotational motion; Variational principle; Magneto-thermoelastic coupling; Rotational motion; Functionally graded cylindrical shell; Nonlinear dynamic; Variational principle
• ISSN: 0020-7462; 1878-5638
• DOI: 10.1016/j.ijnonlinmec.2024.104818

Research is conducted on the dynamic modeling of a rotating functionally graded (FG) cylindrical shell subjected to magnetic and temperature fields. Based on the elasticity theory and generalized Hooke's law on the physical neutral surface, nonlinear geometric equations and thermoelastic constitutive relations are determined. According to the Kirchhoff-Love theory, variational formulas of strain energies for deformation, temperature, and centrifugal force are obtained. Considering the rotational effect, the kinetic energy and its variational formula are derived. The electromagnetic force model incorporating magnetization effect of the ferromagnetic FG shell is established by utilizing the electromagnetic theory. Subsequently, the magneto-thermoelastic dynamic model of the rotating FG shell is developed by adopting the Hamilton's principle. The model can reveal the coupling mechanisms of the interaction and superposition of multi-physical fields. Finally, taking the primary resonance as example, detailed numerical analyses are performed to investigate the effects of different parameters on vibration response and dynamical stability. •The magnetoelastic and thermoelastic nonlinear constitutive relations and energy equations of the rotating FG shell are obtained.•The electromagnetic force model with magnetization effect under the interaction of motion, deformation and magnetic field is established.•The magneto-thermoelastic coupling equations of the heterogeneous rotating cylindrical shell are derived.•The characteristics of multi-valued solution and stability for primary resonance system are clarified.