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article · Journal of Materials Research and Technology

Vibration suppression of advanced plates embedded magnetostrictive layers via various theories

202030 citationsOpen accessKafr el-Sheikh University

In plain language

An analysis examines the vibration suppression of laminated composite plates embedded with magnetostrictive layers, considering conditions with and without the effects of transverse shear and normal strains. To damp structural movement, velocity feedback control with a constant distributed gain is implemented. The equations of motion are established using Hamilton's principle across five structural frameworks, including classical plate theory, first-order and third-order shear deformation theories, and simple and refined sinusoidal shear deformation theories. Navier's method provides the solution for simply supported boundary conditions. Numerical calculations illustrate the influence of several system parameters on vibration control, notably material properties, vibrational modes, feedback gain magnitudes, composite lamination schemes, and the thickness, quantity, and physical positioning of the embedded magnetostrictive layers.

Key takeaways

  • Velocity feedback control with a constant distributed gain is utilised to suppress vibrations in plates containing magnetostrictive layers.
  • System motion equations are derived using Hamilton's principle across five distinct plate deformation theories.
  • Solutions for simply supported boundary configurations are generated via Navier's method.
  • Vibration damping behaviour is shown to depend on layer placement, layer thickness, layer count, lamination scheme, feedback coefficient, and material properties.

Why it matters

Excessive vibrations can compromise the structural integrity and operational lifespan of composite materials. By comparing five distinct analytical theories, this work clarifies how smart magnetostrictive materials and active velocity feedback reduce dynamic disturbances. This offers researchers and design engineers clearer mathematical guidance on how internal layer arrangement and feedback settings influence vibration control in advanced laminated structures.

Commercialisation angle

The abstract does not indicate an application pathway.

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Abstract

Vibration suppression analysis of a laminated composite plate embedded magnetostrictive layers is presented with/without the transverse shear and normal strains effects are taken into account in this study. For purpose of vibration suppression, the velocity feedback control with constant gain distributed is applied. The formulation of problem is written to give five theories are Euler-Bernoulli’s classical plate theory, the Timoshenko’s first-order and Reddy’s third-order shear deformation plate theories, simple and refined sinusoidal shear deformation plate theories and other theories. The governing equations of motion are obtained using the Hamilton’s principle. Navier’s method is applied to discuss the solution of vibration problem at the simply-supported boundary conditions. Some effects are extensively studied and discussed such the impact of material properties, modes, thickness and number of the magnetostrictive layers, lamination schemes, magnitude of the feedback coefficient and location of the magnetostrictive layers on vibration suppression of the system. Numerical results are reported and illustrated, and various conclusions are formulated.

Research topics

  • Composite Structure Analysis and Optimization
  • Vibration and Dynamic Analysis
  • Aeroelasticity and Vibration Control

Read the original research

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DOI: 10.1016/j.jmrt.2020.02.100

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