Thermal vibration and transient response of magnetostrictive functionally graded material plates

• Thermal vibration and transient response of magnetostrictive FGM plates are computed.
• Modified shear coefficient based on the total strain energy equivalence principle.
• Magnetostrictive thickness, control gain and FGM power law index are analyzed.

The results of functionally graded material (FGM) plate with mounted magnetostrictive layer are investigated in thermal vibration and transient response by using the generalized differential quadrature (GDQ) method. The modified shear correction coefficient can be obtained based on the total strain energy equivalence principle. The computational real value solutions of Terfenol-D FGM plate with four edges in simply supported boundary conditions are obtained for the center displacement. Some parametric effects on the Terfenol-D FGM plates are analyzed, there are: shear correction coefficient values, thickness of mounted magnetostrictive layer, control gain values, temperature of environment and power law index of FGM. The effect of different mechanical boundary conditions on the results of numerical GDQ method is also investigated.