Abstract
Vibration of a simply supported rectangular composite laminated plate with four actuating magnetostrictive layers is analyzed in the current study. The studied plate is supported by the two-parameter elastic (Pasternak's) foundations and subjected to a hygrothermal environment. Hamilton's principle and five theories are utilized to derive the kinematic equations considering the transverse shear strain with/without the transverse normal strain. The effects due to modes, lamination schemes, elastic foundations parameters, the magnitude of the feedback coefficient, position of the magnetostrictive layers, temperature rise, the degree of moisture concentration on the damping coefficients, damped natural frequencies, maximum deflection, vibration time and damping ratio, are investigated. Some conclusions about the effect of the temperature and moisture concentrations on the vibration behavior of the plate are formulated. The outcomes refer to that increasing the intelligent actuating layers in the advanced plates improves the vibration damping process, but also the position of these layers plays an effective role in reduction the time interval of damping and improving the vibration damping characteristics. Also, hygrothermal conditions reduce the ability of smart components to suppress the vibration of structures.
•Vibration of a composite laminated plate with four actuating magnetostrictive layers is analyzed.•The plate is supported by two-parameter elastic foundations and subjected to hygrothermal environment.•The effects due to many parameters are investigated.•The outcomes show how to improve the vibration damping process.•The hygrothermal conditions reduce the ability of smart components to suppress the vibration of structures.