Nonlinear dynamic analysis of composite piezoelectric plates with graphene skin

Abstract

This paper studies the nonlinear dynamical characteristic of a composite plate made of new three-phase materials which include the graphene (GP) combined with macro fiber composite (MFC) in the polymer. The GP is supposed to be uniformly dispersed in the upper and lower surfaces of the composite laminated plate with 1-3 mode of macro fiber. The cross-ply MFC composite laminated plate is subjected to transversal excitations. The constitutive laws for the MFC-GP composite material are obtained based on the rule of mixture for multi-components of composite material. The nonlinear governing equations of motion of the MFC-GP plate are derived by Hamilton's principle and the von Kármán geometrical kinematics. Galerkin's approach is employed to discretize the partial differential governing equations into a two-degree-of-freedom nonlinear system. Then, stability analysis is conducted to investigate the influences of various parameters on natural frequencies of the MFC-GP plate, with a particular focus on the effects of GP volume fraction, initial conditions and damping coefficients on nonlinear vibration behaviours of the composite plate.

An Alternative Electro-Mechanical Finite Formulation for Functionally Graded Graphene-Reinforced Composite Beams with Macro-Fiber Composite Actuator

“…in which Q k 44 represent the shear modulus of the kth ply In Equation (8), it is found that the transverse shear stress contains two parts: the continuity conditions are applied only on the zigzag-dependent part, τ k xz , that is, on the transverse shear stresses obtained by removing the shear measures η x . The continuity conditions are expressed as…”

“…In order to achieve the vibration control and shape simulation of smart structures with MFC patches, Zhang et al [7] studied the active shape and vibration control of laminated plates with MFCs. Guo et al [8] analyzed the nonlinear dynamics of MFC piezoelectric plates with graphene skins. Dong et al [9] proposed an equivalent-forcemodeling approach to investigate plate-type structures that were integrated with MFC actuators.…”

“…Static, buckling and dynamic analyses of laminated composite plates with MFC actuators have been extensively investigated [8][9][10][11][12][13][50][51][52][53][54]. In addition, piezoelectric materials were used in the smart structures for shape, vibration and buckling control [7,12,[55][56][57].…”

Buckling Analysis of Composite Piezoelectric Cylindrical Shells with Graphene Skin Subjected to the Axial Load

“…Considering that the GP can be applied as a skin material and supply some excellent mechanical performance for composite material, and the MFC has unique electromechanical coupling characteristics, the mechanical behavior of composite structures with both GP and MFC is well worth studying. [ 19 ] Moreover, the cylindrical shell is a key structural component in various engineering fields, and its main failure is buckling when subjected to axial load. Therefore, it is meaningful to study the buckling behavior of MFC‐GP cylindrical shells.…”

Design and dynamic analysis of integrated architecture for vibration energy harvesting including piezoelectric frame and mechanical amplifier

“…In recent years, many researchers have tried to scavenge vibration energy for micro-power generation, which can be applied to low-power electrical devices such as wireless sensors and detectors [1][2][3][4] . The conversion principles for the vibration energy harvesting mainly include the electrostatic principle [5][6][7] , the piezoelectric principle [8][9][10][11][12][13][14][15] , the electromagnetic principle [16][17][18] , and the ferroelectric material [19][20][21][22] . The piezoelectric vibration energy harvesting technique has received much attention because of its advantages of high energy density, fast response speed, and simple structure.…”