Abstract
The study of laminated magnetostrictive plate without shear deformation under thermal vibration is calculated by using the generalized differential quadrature (GDQ) method. In the thermoelastic stress-strain relations that containing the linear temperature rise and the magnetostrictive coupling terms with velocity feedback control. The dynamic differential equations without shear deformation are normalized and discrete into the dynamic discretized equations with GDQ method. Four edges of rectangular laminated magnetostrictive plate with simply supported boundary conditions are considered. In the moderately thick plate of laminated magnetostrictive plate, the effect of shear deformation should be considered for the computational controlled values of transverse center deflection and dominated normal stress.
Highlights
There were several researches in the transverse displacement of vibrations for the laminated magnetostrictive plate
In 2016, Arani and Maraghi [1] made the study of the linear sinusoidal shear deformation plate theories for vibrations of magnetostrictive plate under follower force by using the differential quadrature method (DQM)
Some of the higher-order shear deformation theories (HSDT), e.g. algebraic (ADT), exponential (EDT), hyperbolic (HDT), logarithmic (LDT) and trigonometric (TDT) were studied in Navier closed form solution, there are no transverse shear stresses at the top and bottom of the plate surfaces under free vibration
Summary
There were several researches in the transverse displacement of vibrations for the laminated magnetostrictive plate. In 2012, Hong [4] studied the thermal vibration of magnetostrictive functionally graded materials (FGM) plate with the YNS first-order shear deformation theories (FSDT) under rapid heating. In 2004, Lee et al [8] obtained the transient vibration values of displacement for the Terfenol-D magnetostrictive material plate included the effect of shear deformation by using the FEM. In 2014, Hong [9] used the GDQ method with the effect of modified shear correction coefficient to make the thermal vibration analyses of FGM plates and mounted magnetostrictive layer. International Journal of Electrical Components and Energy Conversion 2017; 3(3): 63-69 vibration in the transverse displacement and thermal stress of the laminated magnetostrictive plates without/with the shear deformation effect by using the GDQ method
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