Nonlinear forced vibration of graphene/piezoelectric sandwich nanoplates subjected to a mechanical shock

Ghadiri, Majid; Hosseini, S. Hamed S.

doi:10.1177/1099636219849647

Cited by 22 publications

(6 citation statements)

References 85 publications

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“…Figure 3 shows the nonlinear amplitude-frequency response of the sandwich construction under non-uniform temperature distribution along thickness direction, in which contribution of the thermal induced bending moment has been taken into account. The bending of the frequency response curves results in multi-valued amplitudes and therefore, to a jump phenomenon, which is commonly found in nonlinear vibratory systems [23,32,36,40–44]. It is observed that the hardening-spring characteristics of the primary resonance exists.…”

Section: Resultsmentioning

confidence: 99%

Nonlinear dynamic response of a sandwich structure with flexible core in thermal environments

Zhao

Cheng³

et al. 2020

Jnl of Sandwich Structures & Materials

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Nonlinear dynamic response with stability analysis of a sandwich structure with flexible core are investigated by integration of variational asymptotic method (VAM) and the first-order shear deformation theory. A simply supported sandwich structure is subjected to an harmonic transverse excitation in thermal environments. Generalized 2 D Reissner-Mindlin type stiffness matrices including an equivalent transverse shear matrix are obtained based on through-the-thickness analysis using VAM without invoking any ad hoc kinematic assumptions. The governing equation is derived using Hamilton’s principle taking into account von K[Formula: see text]rm[Formula: see text]n geometric nonlinearity. Galerkin’s method is employed to develop a nonlinear differential equation of the problem with quadratic and cubic nonlinearities, which are associated with the coupling of the in-plane stretching and transverse deflection due to thermal moments. Periodic solutions are determined using the incremental harmonic balance (IHB) method and incremental arc-length technique. The stability is evaluated by Routh-Hurwitz theory. The effects of the temperature variation, geometric parameters and material properties on the resonance as well as amplitude of steady state vibration are investigated through a detail parametric study.

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Section: Resultsmentioning

confidence: 99%

Nonlinear dynamic response of a sandwich structure with flexible core in thermal environments

Zhao

Cheng³

et al. 2020

Jnl of Sandwich Structures & Materials

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“…By solving equation (40), modulation equation of the system for primary resonance case can be derived as follows 52 À ma + F 2v 0 sin h = 0 ð41aÞ…”

Section: Multiple Time Scales Methodsmentioning

confidence: 99%

Investigation of flexoelectric effect on nonlinear forced vibration of piezoelectric/functionally graded porous nanocomposite resting on viscoelastic foundation

Ebrahimi

Hosseini

2019

The Journal of Strain Analysis for Engineering Design

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Investigation of flexoelectric effect on nonlinear forced vibration of piezoelectric/functionally graded porous nanocomposite is the objective of this study. The nanocomposite is exposed to electric voltage and external parametric excitation. First, a functionally graded porous core nanoplate is modeled and then two piezoelectric layers are glued with core. It is also rested on a visco-Pasternak foundation. Second, to derive governing equation of motion, two theories including Mindlin and Kirchhoff plate theories and Hamilton’s principle are utilized. In the next step, to obtain and solve ordinary differential equation, Galerkin technique and multiple time scales method are used, respectively. At the end, modulation equation of piezoelectric/functionally graded porous nanocomposite for both primary and secondary resonances is obtained and discussed. Emphasizing the effect of piezoelectric and flexoelectric, von Karman nonlinear deformation and parametric external excitation are simultaneously taken into account. It is found that electric voltage has no effect on the performance of piezoelectricity and flexoelectricity of the material on vibration behavior. The results of this study can be useful as benchmark for the next investigations in field of energy harvesting systems and piezoelectric structures.

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“…[52]. Ghadiri and Hosseini [53] studied shock force and electrical input effects on the natural frequencies of nanoscale piezoceramic plates located between two graphene sheets. For FG piezoceramic plates with FG profiles of porosity dispersions, temperature influence was studied on natural frequencies using a four-variable RPT in Barati and Zenkour [54].…”

Section: Introductionmentioning

confidence: 99%

Temperature effect on free vibration response of a smart multifunctional sandwich plate

Moradi‐Dastjerdi

Behdinan

2020

Jnl of Sandwich Structures & Materials

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A smart multifunctional sandwich plate with a wide range of applications can be produced by proper arrangement of its layers. This paper offers a smart multifunctional sandwich plate with one central lightweight porous layer, two middle polymer/graphene nanocomposite layers and two active faces made of a piezoceramic material. The coupled effects of temperature conditions and piezoelectric behavior on the natural frequencies of the proposed smart multifunctional sandwich plate located on elastic foundations have been studied in the current research. For the dispersions of graphene particles and pores inside host layers, different functional profiles have been considered. Moreover, graphene particles and polymeric materials with temperature-dependent material properties have been adopted. The mechanical properties of polymer/graphene nanocomposite are evaluated by employing Halpin-Tsai approach which is modified to capture nanoscale effects. Eventually, the coupled governing eigenvalue equations of the proposed smart multifunctional sandwich plate are derived using a third-order theory called TSDT and are studied by a developed meshless solution. In addition, the effects of graphene, porosity, geometric and foundation aspects on the natural frequency of the proposed smart multifunctional sandwich plate are studied. The results disclose that the natural frequencies of the proposed smart multifunctional sandwich plates are improved by embedding pores in core layer due to the remarkable reduction of structural weight. It is worth noting that nanocomposite layers can completely compensate the structural stiffness reduction caused by embedding pores in the core.

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Nonlinear forced vibration of graphene/piezoelectric sandwich nanoplates subjected to a mechanical shock

Cited by 22 publications

References 85 publications

Nonlinear dynamic response of a sandwich structure with flexible core in thermal environments

Nonlinear dynamic response of a sandwich structure with flexible core in thermal environments

Investigation of flexoelectric effect on nonlinear forced vibration of piezoelectric/functionally graded porous nanocomposite resting on viscoelastic foundation

Temperature effect on free vibration response of a smart multifunctional sandwich plate

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