Analyses of natural frequency and electromechanical behavior of flexoelectric cylindrical nanoshells under modified couple stress theory

In this article, vibration behavior of a micro cylindrical sandwich panel with foam core and reinforced graphene platelet composite layers on the top and bottom resting on elastic foundation based on modified couple stress theory is investigated. Hamilton’s principle is used to determine the governing equations of motion. These equations are solved by Navier’s method to obtain the natural frequencies. The results are compared with the extracted results by the other literatures. The effects of different parameters such as temperature change, volume fraction of graphene platelet, length to radius ratio, and the elastic foundation on the natural frequencies have been carried out. Also, the effects of reinforced materials for layers is discussed and compared with unreinforced composites layers. Sandwich structures are wildly used in different applications such as spacecraft, aeronautical, pressurized gas tanks, boilers, aircraft fuselage, marines, and civil structures, and these cases need high strength and low weight. The present work is a theoretical background for more explorations and further experimental researchers in the field of cylindrical reinforced panels.

Section: The Governing Equations Of Micro Sandwich Panelmentioning

confidence: 99%

Vibration behavior of a micro cylindrical sandwich panel reinforced by graphene platelet

Anvari

Mohammadimehr

Amiri

2020

“…Using the differential quadrature method, Mohammadimehr et al (2018) studied the stress analysis and the free vibration features of an annular circular piezoelectric plate reinforced with FG boron nitride nanotubes on the basis of MCST. Zeng et al (2019) developed a nonlinear dynamic model for nanoshells incorporating the flexoelectricity on the basis of the MCST. The free vibration features of nanoplates resting on Winkler–Pasternak foundation were examined by Ebrahimi and Barati (2019) on the basis of the nonlocal elasticity theory.…”

Section: Introductionmentioning

confidence: 99%

Vibration and thermal buckling analyses of three-layered centrosymmetric piezoelectric microplates based on the modified consistent couple stress theory

Abbaspour

Arvin

2020

In this study, free and forced vibration investigations and thermal buckling analysis of three-layered centrosymmetric piezoelectric microplates are examined. To model the size effects, the size-dependent consistent couple stress theory is used. To be compatible with the modified coupled stress theory, a modification is proposed to apply to the consistent couple stress theory. Resorting to the Navier’s approach, the governing equations are treated in the case of simply supported boundary conditions to extract the free and forced vibration outcomes and the thermal buckling numerical results. The verifications demonstrate the effectiveness of the proposed modification. The effects of the material length scale parameter and the flexoelectricity coefficient on the findings are investigated. Moreover, the closed- and open-circuit condition impacts on the free and forced vibration and the thermal buckling analyses are studied.

“…The vibration behavior of FGM cylindrical shells with porosities and metal foam cylindrical shells reinforced by graphene platelets was investigated by Wang et al (2018b, 2019b). Zeng et al (2019) studied the size-dependent flexoelectric effect on the natural frequency and the nonlinear electromechanical behavior of cylindrical nanoshells based on the modified couple stress theory. By using the Hamilton’s principle and Navier’s solution, Ghasemi and Meskini (2019) investigated the free and linear vibration behavior of porous simply supported laminated rotating cylindrical shells.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration of full-filled fluid corrugated sandwich functionally graded cylindrical shells

Nguyen

Nguyen-Thoi

Tran

et al. 2020

This article proposes a semianalytical approach for the nonlinear free and forced asymmetric vibration of corrugated sandwich functionally graded cylindrical shells containing fluid under harmonic radial load. The corrugation is considered with two types: trapezoidal corrugation and round corrugation. By using the Donnell shell theory, taking into account the geometrical nonlinearity of von Kármán and an equivalent model for corrugated structures, the governing equations of shell are established. The nonlinear motion equations are reduced to nonlinear differential equation in terms of time by applying the Galerkin procedure. The numerical investigations for the nonlinear dynamic response of cylindrical shells are obtained by using the fourth-order Runge–Kutta method. Numerical results show the very large effects of corrugation and fluid on the natural frequency and nonlinear vibration behavior of shells.