Nonlocal strain gradient IGA numerical solution for static bending, free vibration and buckling of sigmoid FG sandwich nanoplate

Cuong-Le, Thanh; Nguyen, Khuong D.; Minh, Hoang-Le; Sang-To, Thanh; Phan-Vu, Phuong; Wahab, Magd Abdel

doi:10.1016/j.physb.2022.413726

Cited by 78 publications

(9 citation statements)

References 57 publications

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“…Considering the geometry of the model cantilever beams with and without a tip mass have been widely studied in the literature for various applications ranging from energy harvesting (Zhang et al 2022 ; Ghavami et al 2018 ) to mass detection (Kumar et al 2011 ; Zhao et al 2018 ). From the analysis of the motion equations point of view, various approaches including numerical integration, nonlinear perturbation techniques, isogeometric analysis (IGA), (Madinei et al 2015 ; Phung-Van et al 2017 ; Thanh et al 2022 ; Cuong-Le et al 2022 ). Zhao et al (Zhao et al 2018 ) proposed a piezoelectric-based mass sensor with enhanced sensitivity due to the operation in the nonlinear bi-stable regime.…”

Section: Introductionmentioning

confidence: 99%

On the nonlinear dynamics of a piezoresistive based mass switch based on catastrophic bifurcation

Azizi

Madinei

Khodaparast

et al. 2023

Int J Mech Mater Des

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This research investigates the feasibility of mass sensing in piezoresistive MEMS devices based on catastrophic bifurcation and sensitivity enhancement due to the orientation adjustment of the device with respect to the crystallographic orientation of the silicon wafer. The model studied is a cantilever microbeam at the end of which an electrostatically actuated tip mass is attached. The piezoresistive layers are bonded to the vicinity of the clamped end of the cantilever and the device is set to operate in the resonance regime by means of harmonic electrostatic excitation. The nonlinearities due to curvature, shortening and electrostatic excitation have been considered in the modelling process. It is shown that once the mass is deposited on the tip mass, the system undergoes a cyclic fold bifurcation in the frequency domain, which yields a sudden jump in the output voltage of the piezoresistive layers; this bifurcation is attributed to the nonlinearities governing the dynamics of the response. The partial differential equations of the motion are derived and discretized to give a finite degree of freedom model based on the Galerkin method, and the limit cycles are captured in the frequency domain by using the shooting method. The effect of the orientation of the device with respect to the crystallographic coordinates of the silicon and the effect of the orientation of the piezoresistive layers with respect to the microbeam length on the sensitivity of the device is also investigated. Thanks to the nonlinearity and the orientation adjustment of the device and piezoresistive layers, a twofold sensitivity enhancement due to the added mass was achieved. This achievement is due to the combined amplification of the sensitivity in the vicinity of the bifurcation point, which is attributed to the nonlinearity and maximizing the sensitivity by orientation adjustment of the anisotropic piezoresistive coefficients.

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Section: Introductionmentioning

confidence: 99%

On the nonlinear dynamics of a piezoresistive based mass switch based on catastrophic bifurcation

Azizi

Madinei

Khodaparast

et al. 2023

Int J Mech Mater Des

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“…According to the findings, the quadratic NURBS element can produce highaccuracy results with the least amount of computational cost. Cuong-Le et al [32] used a nonlocal strain gradient, Reissner-Mindlin plate theory, and isogeometric analysis for the bending, buckling, and free vibration of sigmoid FG nanoplates. Vu et al [33] developed a new refined quasi-3D hyperbolic shear deformation theory combined with the Navier solution to analyze the compressive buckling of porous FG plates placed on the Winkler-Pasternak foundation.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of the structural integrity on the porous functionally graded plates using a novel Quasi-3D hyperbolic high order shear deformation theory

Méliani

Kenanda

Hammadi

et al. 2023

Frattura Ed Integrità Strutturale

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In this study, a novel quasi-three dimensional hyperbolic high-order shear deformation theory (quasi-3D HHSDT) is developed for free vibration analysis of porous functionally graded plates (FGPs). There are six unknowns in the current displacement field, and no shear correction factor is required. The mechanical properties are varied continuously through the thickness of porous FG plates using a modified power law function while considering the effect of porosities on the plate’s structural integrity. Two distinct porosity distribution models are considered, including even and uneven porosity distributions. The Navier technique is employed to obtain the closed-form solutions of motion's equations. An exhaustive parametric study is presented to show the influence of the different parameters on the fundamental frequencies.

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“…Isogeometric analysis (IGA) [34] has gained significant attention from researchers worldwide and become a potent and efficient tool for addressing a wide range of engineering challenges, primarily owing to its computational effectiveness [35][36][37][38]. Unlike the traditional finite element approach, the IGA can eliminate the need for the meshing process as well as utilize the same interpolation functions to characterize the CAD model and unknown field.…”

Section: Introductionmentioning

confidence: 99%

Dynamic instability characteristics of graphene‐reinforced cellular sandwich plates using a three‐variable isogeometric approach

Nguyen

2023

Z Angew Math Mech

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The primary objective of the current study is to introduce a potent computational model for analyzing the dynamic instability response of advanced sandwich plate models subjected to various time‐dependent in‐plane edge loadings. To achieve this, we employ the finite element formulations derived from high‐order shear deformation plate theory (HSDT) involving only three unknowns in conjunction with NURBS‐based isogeometric analysis. Additionally, advanced sandwich plate models are constituted by a middle layer with either a uniform or symmetric porosity distribution and two outer layers which are reinforced with graphene nanoplatelets (GNPs) to boost dynamic structural performance. The fundamental dynamic instability region of the sandwich plates can be then obtained by solving the Mathieu‐Hill equation using the Bolotin's method. Numerous numerical studies are performed to evaluate the impacts of numerous input parameters on the dynamic stability behavior of the cellular three‐layer plate structures. The crucial role of internal porosity distribution as well as GNPs reinforcement phase in enhancing the instability performance of the cellular structures is thoroughly evaluated. With the current results, this research provides important insights into the development and application of cellular materials as well as the GNPs for designing advanced engineering structures in the future.

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Nonlocal strain gradient IGA numerical solution for static bending, free vibration and buckling of sigmoid FG sandwich nanoplate

Cited by 78 publications

References 57 publications

On the nonlinear dynamics of a piezoresistive based mass switch based on catastrophic bifurcation

On the nonlinear dynamics of a piezoresistive based mass switch based on catastrophic bifurcation

Free vibration analysis of the structural integrity on the porous functionally graded plates using a novel Quasi-3D hyperbolic high order shear deformation theory

Dynamic instability characteristics of graphene‐reinforced cellular sandwich plates using a three‐variable isogeometric approach

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