Nonlinear stability of eccentrically stiffened S-FGM elliptical cylindrical shells in thermal environment

Duc, Nguyen Dinh; Ngo, Tuan; Tran, Phuong; Cong, Pham Hong; Nguyen, Pham Dinh

doi:10.1016/j.tws.2016.08.025

Cited by 33 publications

(6 citation statements)

References 32 publications

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“…Moreover, normalized eigen frequency parameter has a direct relation with foundation stiffness parameter up to the value of critical gradient index. With the increasing value of aspect ratio [37] and thickness to length ratio, normalized eigen frequency decreases. Liu et al [143] explained the consequences of in-plane material inhomogeneity on the fundamental frequency of FGM plates [144].…”

Section: Fgm Platesmentioning

confidence: 95%

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Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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Functionally graded materials (FGMs) are novel materials whose properties change gradually with respect to their dimensions. It is the advanced development of formerly used composite materials and consists of two or more materials in order to achieve the desired properties according to the application where an FGM is used. FGMs have obtained a great attention of researchers in the past decade due to their graded properties at every single point in various dimensions. The properties of an FGM are not identical to the materials that constitute it. This paper aims to present an overview of the existing literature on stability, buckling, and free vibration analysis of FGM carried out by numerous authors in the past decade. Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. At the end, future work is also suggested in this review paper.

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Section: Fgm Platesmentioning

confidence: 95%

“…Anh et al [35] did stability analysis of FGM shells mounting on elastic foundation. External pressure and elastic foundation play an important role in bifurcation buckling load, temperature resistance ability, and mechanical loading of [37]). Sofiyev and Kuruoglu [38] analyzed the stability of FGM-truncated conical shells.…”

Section: Stability Analysis Of Fgmmentioning

confidence: 99%

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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“…It is assumed that both material properties and geometrical shapes of stiffeners depend on temperature, and they are deformed in the presence of temperature. After the thermal deformation process, the geometrical parameters of stiffeners can be determined as [8,11,32] …”

Section: Basic Equationsmentioning

confidence: 99%

“…Recently, Duc et al. [11] investigated the nonlinear buckling and postbuckling of eccentrically stiffened functionally graded thin-elliptical cylindrical shells surrounded on elastic foundations in thermal environment.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic response and vibration of imperfect eccentrically stiffened sandwich third-order shear deformable FGM cylindrical panels in thermal environments

Duc

Ngo

Tran

et al. 2017

Jnl of Sandwich Structures & Materials

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This study follows an analytical approach to investigate the nonlinear dynamic response and vibration of eccentrically stiffened sandwich functionally graded material (FGM) cylindrical panels with metal–ceramic layers on elastic foundations in thermal environments. It is assumed that the FGM cylindrical panel is reinforced by the eccentrically longitudinal and transversal stiffeners and subjected to mechanical and thermal loads. The material properties are assumed to be temperature dependent and graded in the thickness direction according to a simple power law distribution. Based on the Reddy’s third-order shear deformation shell theory, the motion and compatibility equations are derived taking into account geometrical nonlinearity and Pasternak-type elastic foundations. The outstanding feature of this study is that both FGM cylindrical panel and stiffeners are assumed to be deformed in the presence of temperature. Explicit relation of deflection–time curves and frequencies of FGM cylindrical panel are determined by applying stress function, Galerkin method and fourth-order Runge-Kutta method. The influences of material and geometrical parameters, elastic foundations and stiffeners on the nonlinear dynamic and vibration of the sandwich FGM panels are discussed in detail. The obtained results are validated by comparing with other results in the literature.

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“…Also, Duc et al. considered nonlinear stability of eccentrically stiffened S-FGM elliptical cylindrical shells in thermal environment [27].…”

Section: Introductionmentioning

confidence: 99%

Bending and buckling behaviors of heterogeneous temperature-dependent micro annular/circular porous sandwich plates integrated by FGPEM nano-Composite layers

Arshid

Amir

Loghman

2020

Jnl of Sandwich Structures & Materials

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Bending and buckling analyses of heterogeneous annular/circular micro sandwich plate which is located on Pasternak substrate is presented in the current study. The plate’s core is made of saturated porous materials and face sheets are made of functionally graded piezo-electro-magnetic polymeric nano-composites. The displacement components of the plate described based on FSDT and MCST is employed to analyze the structure in micro scale. Length scale parameter of MCST shows the difference between macro and micro scales elasticity theory. Material properties of the three layers are varied across the thickness following different patterns and in addition, are temperature-dependent. The face sheets are subjected to electro-magnetic fields and pre loads. Using energy method and variational calculus, the equations are obtained and solved via GDQ as a numerical method for various boundary conditions. To examine the reliability of the results, they are compared with previous studies and verified. Effect of different properties and aspect ratio of the plate are investigated and highlighted. The results depicted by enhancing the porosity, the critical buckling load and maximum transverse deflection decreases and increases, respectively. Also increasing temperature leads the buckling load to more values and vice versa about deflection of the plate. The findings of this research can help to design and create more efficient structures especially smart one as sensors or actuators.

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Nonlinear stability of eccentrically stiffened S-FGM elliptical cylindrical shells in thermal environment

Cited by 33 publications

References 32 publications

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Nonlinear dynamic response and vibration of imperfect eccentrically stiffened sandwich third-order shear deformable FGM cylindrical panels in thermal environments

Bending and buckling behaviors of heterogeneous temperature-dependent micro annular/circular porous sandwich plates integrated by FGPEM nano-Composite layers

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