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Abstract

In this article, the dynamic buckling behavior of a sandwich plate composed of laminated viscoelastic nanocomposite layers integrated with viscoelastic piezoelectric layers is investigated. The core due to the existence of carbon nanotubes is subjected to the magnetic field while the piezoelectric layers at the top and the bottom of the core are subjected to the electric filed and plays the role of the actuator and the sensor, respectively. The core layers are reinforced by functionally graded carbon nanotubes and their equivalent material properties are obtained using the extended rule of mixture. According to Kelvin–Voigt theory, the realistic behavior of the structure is simulated by considering the viscoelastic properties. The structure is assumed resting on viscoelastic medium which is simulated using orthotropic visco-Pasternak model. The governing equations of the system are derived based on the sinusoidal shear deformation theory and by employing Hamilton's principle. To obtain the dynamic stability region of the system, the differential quadrature method is applied. Also, a proportional-derivative controller is employed to control the dynamic behavior of the structure. The influences of various parameters like structural damping, viscoelastic medium, geometric constants, applied voltage, number of layers, volume fraction and distribution of carbon nanotubes, temperature changes and magnetic field on the control and analysis of the dynamic stability region of the structure are studied. The results reveal that by applying the negative voltage to the actuator layer, the stability region of the system occurs in higher frequencies. Also, the highest bending stiffness of the structure can be achieved for Functionally graded-Xtype (FGX) distribution type of carbon nanotubes.

Keywords

Dynamic buckling functionally graded-carbon nanotube-reinforced sandwich plates proportional-derivative controller Sinusoidal shear deformation theory sensor and actuator

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Dynamic buckling of sensor/functionally graded-carbon nanotube-reinforced laminated plates/actuator based on sinusoidal-visco-piezoelasticity theories

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