Magnetoelastic Vibration Dynamics of Thin Plates
Summary
The study of magnetoelastic vibration dynamics in thin plates centres on the coupled interactions between magnetic fields and elastic deformations in ferromagnetic or magnetostrictive materials. In such systems, dynamic magnetic excitation induces strain in the plate through magnetostriction, while mechanical vibrations modulate the magnetic state, creating a feedback loop that can either enhance or damp oscillatory motion. Theoretical descriptions typically combine elasticity theory for thin plates (often employing Kirchhoff–Love or Mindlin formulations) with Maxwell’s equations for electromagnetic fields and constitutive laws that characterise magnetoelastic coupling. Both linear and nonlinear regimes are of interest: in the former, small‐amplitude vibrations and weak coupling permit analytical solutions; in the latter, large deflections, geometric nonlinearity and hysteresis in the magnetic response demand numerical techniques such as finite‐element modelling. Key parameters include plate thickness, boundary conditions, material anisotropy and the frequency of magnetic excitation. Advances in microfabrication and material synthesis have enabled realisation of magnetostrictive–piezoelectric bilayers, magnetoelastic sensors and energy harvesters operating at kilohertz to megahertz frequencies. Practical applications span nondestructive evaluation, vibration control, tunable filters and self‐powered monitoring devices, while fundamental questions address stability thresholds, mode coupling and the emergence of parametric instabilities or chaotic dynamics under strong excitation.
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Magnetoelastic Vibration Dynamics of Thin Plates publication trend
The graph below shows the total number of articles in magnetoelastic vibration dynamics of thin plates across all publications each year (not limited to Nature Index journals).
Technical terms
Magnetoelastic coupling: Bidirectional interaction between magnetic fields and elastic deformation in materials.
Magnetostriction: Dimensional change in a ferromagnetic material under an applied magnetic field.
Eddy currents: Circulating currents induced in conductors by time‐varying magnetic fields, leading to damping forces.
Parametric vibration: Vibration excited by periodic modulation of a system parameter, such as stiffness or loading.
Floquet analysis: Mathematical method for assessing stability of periodic systems by examining solutions over one period.
Resonance: Phenomenon whereby a system exhibits large oscillations when driven near its natural frequency.
References
- Dependence of the oscillations amplitude on the thickness of magnetostrictive-piezoelectric bilayer structure in the theory of magnetoelectric effect. Journal of Physics Conference Series (2014).
- Dynamics of a magnetic pendulum in the presence of an oscillating conducting plate. PAMM (2021).
- Forced Responses of the Parametric Vibration System for the Electromechanical Integrated Magnetic Gear. Shock and Vibration (2015).
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