Optimization of dynamic buckling for sandwich nanocomposite plates with sensor and actuator layer based on sinusoidal-visco-piezoelasticity theories using Grey Wolf algorithm

Abstract

Optimization of embedded piezoelectric sandwich nanocomposite plates for dynamic buckling analysis is presented in this work based on Grey Wolf algorithm. The Grey Wolf algorithm mimics the leadership hierarchy and hunting mechanism of grey wolves in nature. In addition, the main steps of hunting, searching for prey, encircling prey, and attacking prey are employed. The structure is composed of a laminated functionally graded-carbon nanotubes reinforced layers as core integrated with sensor and actuator layers considering structural damping effects. Two-dimensional magnetic and 3D electric fields are applied to core and piezoelectric layers, respectively. Sinusoidal shear deformation theory is utilized for obtaining the motion equations and differential quadrature method is applied for solution. Also, a proportional–derivative controller is employed to control the dynamic behavior of the structure. Finally, the optimum designs for the structure are evaluated using proposed Grey Wolf algorithm based on the geometrical parameters of plate, applied voltage, controller parameters, volume fraction of carbon nanotubes, spring, and shear constants of foundation. Numerical results indicate that by applying the positive voltage and transverse magnetic field the optimum dimensionless frequency of the system decreases.

Thermal postbuckling behavior of CNT-reinforced composite sandwich plate models resting on elastic foundations with tangentially restrained edges and temperature-dependent properties

“…The vibration characteristics of CNT-reinforced sandwich plates and curved panels exposed to elevated temperature have been considered in works of Mehar and coworkers 54,55 using the finite element method. Based on some different plate theories and differential cubature method, the bending, vibration, static buckling, and dynamic buckling responses of sandwich nanocomposite plates have been examined by Kolahchi 56 and Kolahchi et al 57 taking into account piezoelectric layers and viscoelastic effects. Using a numerical approach, Natarajan et al 58 studied the bending and free vibration of sandwich plates with CNTRC face sheets.…”

Nonlinear vibration and modal analysis of FG nanocomposite sandwich beams reinforced by aggregated CNTs

“…The nonlinear and linear vibration of sandwich beams, plates, and panels has been an object of many studies [20][21][22][23][24][25][26][27]. Nanocomposite FG sandwich structures are widely used in the field of transportation (helicopter blades, ship's hull, etc.)…”

Nonlinear vibration of functionally graded sandwich shallow spherical caps resting on elastic foundations by using first-order shear deformation theory in thermal environment

“…Advanced sandwich plate and shell structures have been mentioned in many studies in recent years and these structures may be placed in an elastic medium described by different elastic foundation models [28–33].…”