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Nonlinear forced vibration in magneto-electro-elastic laminated nanoplates with flexomagnetoelectric effect
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DOI：10.1007/s10999-026-09942-0.png)
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Abstract
En 中文
This research examines the nonlinear forced vibrations of magneto-electro-elastic laminated nanoplates, incorporating the flexomagnetoelectric influence. The system’s displacement field is formulated using higher-order shear deformation theory, with geometric nonlinearities captured via the von Karman theorem. Size-dependent phenomena are integrated through the nonlocal strain gradient theory. The nonlinear formulas of kinematics are founded by applying Hamilton’s principle and variational methods, where the Airy stress function is brought to address nonlinear-nonlocal interactions. These governing formulas are subsequently disposed of employing the Galerkin procedure and the method of multiple scales, yielding the system’s amplitude-frequency response equations and corresponding curves. Utilizing this model, a granular scrutiny is orchestrated on the flexomagnetoelectric impact, scale parameters, temperature, moisture, electric potential, magnetic potential, and elastic foundations that affect the nonlinear primary resonance performances of the magneto-electro-elastic laminated nanoplates. The results show that the flexomagnetoelectric effect can reduce the amplitude of the nonlinear primary resonance in the magneto-electro-elastic system. The outcomes of this work offer a notional foundation for employing magneto-electro-elastic materials in intelligent sensors.
Keywords:
Intelligent material
Nonlinear forced vibration
FME effect
NSGT
Airy stress function
Multi-scale method
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