Nonlocal strain gradient plate model for nonlinear large-amplitude vibrations of functionally graded porous micro/nano-plates reinforced with GPLs

On the effect of viscoelasticity on behavior of gyroscopes

Due to a rapid development of process manufacturing, composite materials with graphene-reinforcement have obtained so much commercially notices in the promoted engineering applications. With this regard, the critical voltage and frequency characteristics of a graphene nanoplatelets (GNP) composite cylindrical nanoshell coupled with the piezoelectric actuator (PIAC) are investigated. The material properties of piece-wise graphene-reinforced composites (GNPRCs) are assumed to be graded through the thickness direction of a cylindrical nanoshell and are estimated based on a nanomechanical model. For the first time, the current study is considering the effects of the piezoelectric layer, GNPRC and size-effects on the natural frequency and critical voltage of the GNPRC cylindrical nanoshell coupled with PIAC. The governing equations and boundary conditions have been developed using minimum potential energy, and have been solved with the aid of generalized differential quadrature (GDQM). In addition, because of the piezoelectric layer, Maxwell's equation is derived. The results show that piezoelectric layer, GNP distribution pattern, length scale parameter and GNP weight function, play important roles on the natural frequency and critical voltage of the GNP cylindrical nanoshell coupled with PIAC. The results of the current study are useful suggestions for the design of materials science, micro-electro-mechanical systems and nanoelectromechanical systems such as nanoactuators and nanosensors.

Stability analysis of an electrically cylindrical nanoshell reinforced with graphene nanoplatelets

In this article, the vibration characteristics of high-speed rotating graphene-nanoplatelets (GNP)-reinforced composite cylindrical nanoshell coupled with a piezoelectric actuator (PIAC) are investigated. This composite nanostructure rotates around the axial direction, and the Coriolis and centrifugal effects are considered in the formulation. The material properties of piecewise graphene-reinforced composites (GNPRCs) are assumed to be graded in the thickness direction of the cylindrical nanoshell and estimated through a nanomechanical model. In the current study, the effects of angular velocity, piezoelectric layer, GNPRC and size-effects on the frequency of the spinning GNPRC cylindrical nanoshell coupled with PIAC are studied for the first time. The governing equations and boundary conditions are developed using the minimum potential energy and solved with the aid of generalized differential quadrature (GDQM). In addition, due to existence of piezoelectric layer, Maxwell’s equation is derived. The results show that angular velocity, piezoelectric layer, GNP distribution pattern, length scale parameter and GNP weight function play an important role in the vibrational characteristics of the spinning GNP cylindrical nanoshell coupled with PIAC. The results of the current study are useful for design of materials science, micro-electro-mechanical systems and nanoelectromechanical systems such as nanoactuators and nanosensors.

Vibration analysis of a high-speed rotating GPLRC nanostructure coupled with a piezoelectric actuator

A unified nonlocal strain gradient plate model for nonlinear axial instability of functionally graded porous micro/nano-plates reinforced with graphene platelets

In this paper, the electro-elastic surface/interface model is introduced to investigate the surface energy effect on the nonlinear free vibration behavior of orthotropic piezoelectric cylindrical nano-shells. On the basis of classical shell theory and von-Karman-Donnell-type geometric nonlinearity, the fundamental equations for vibration are given. By considering the constitute relations for surfaces, the total energy of the orthotropic piezoelectric cylindrical nano-shell is obtained. The governing equations of motion are derived from Hamilton's principle and solved by using the homotopy perturbation method (HPM). Afterwards, the results without surface effect are compared and validated with the datum available in the literature, and the influences of surface parameters and geometric characteristics on the nonlinear free vibration of the orthotropic piezoelectric cylindrical nano-shell are examined.

Surface energy effect on nonlinear free vibration behavior of orthotropic piezoelectric cylindrical nano-shells

Combining Goldenveizer-Novozhilov shell theory, thin plate theory and electro-elastic surface theory, the size-dependent vibration of nano-sized piezoelectric double-shell structures under simply supported boundary condition is presented, and the surface energy effect on the natural frequencies is discussed. The displacement components of the cylindrical nano-shells and annular nano-plates are expanded as the superposition of standard Fourier series based on Hamilton's principle. The total stresses with consideration of surface energy effect are derived, and the total energy function is obtained by using Rayleigh-Ritz energy method. The free vibration equation is solved, and the natural frequency is analyzed. In numerical examples, it is found that the surface elastic constant, piezoelectric constant and surface residual stress show different effects on the natural frequencies. The effect of surface piezoelectric constant is the maximum. The effect of dimensions of the double-shell under different surface material properties is also examined.

Surface energy effect on free vibration of nano-sized piezoelectric double-shell structures

A new approach for smart control of size-dependent nonlinear free vibration of viscoelastic orthotropic piezoelectric doubly-curved nanoshells

Surface energy effect on buckling behavior of the functionally graded nano-shell covered with piezoelectric nano-layers under torque

Surface energy effect on nonlinear buckling and postbuckling behavior of functionally graded piezoelectric cylindrical nanoshells under lateral pressure

Chang-Song Zhu

Papers

Surface energy effect on nonlinear free vibration behavior of orthotropic piezoelectric cylindrical nano-shells

Surface energy effect on free vibration of nano-sized piezoelectric double-shell structures

A new approach for smart control of size-dependent nonlinear free vibration of viscoelastic orthotropic piezoelectric doubly-curved nanoshells

Surface energy effect on buckling behavior of the functionally graded nano-shell covered with piezoelectric nano-layers under torque

Surface energy effect on nonlinear buckling and postbuckling behavior of functionally graded piezoelectric cylindrical nanoshells under lateral pressure