Effect of stiffeners on nonlinear buckling of cylindrical shells with functionally graded coatings under torsional load

Thang, Pham Toan; Nguyen-Thoi, T.

doi:10.1016/j.compstruct.2016.06.073

Cited by 22 publications

(3 citation statements)

References 72 publications

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“…[20][21][22] The techniques and manufacturing processes of FGMs have clearly been presented by Kieback et al 23 As of now, various approaches, such as the analytical, numerical (finite element method, isogeometric analysis) solutions have been developed for mechanical behavior analysis problems of FGM structures. [24][25][26][27][28][29] Besides, Mudhaffar et al 30 and Zaitoun et al 31 investigated the effects of the hygrothermal environment and elastic foundation on buckling and bending behaviors of the FG plates. At the same time, the effects of the porosity parameter on the mechanical behavior of the FG plates are also considered by Bekkaye et al, 32 Guellil et al 33 and Zine et al 34 Under the nanostructure model, Yogesh et al 35 used the finite element method for the vibration response problem of FG porous nanoplates.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of functionally graded shallow shells with variable thickness and physical neutral surface effects

Thang,

Do,

Nguyen-Thoi

et al. 2024

Proceedings of the Institution of Mechanical Engineers, Part C:

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The study and manufacture of functionally graded (FG) shallow shells with the variable thickness are essential for the actual application of these types of structures. Previously, many researchers have developed different approaches to analyzing the mechanical behaviors of the FG structures, in which the thickness parameter has been assumed to be constant. Moreover, studies on these types of structures with the variable thickness are still quite limited. For this reason, this paper provides an effective and simple approach via mathematical formulations for analyzing the free vibrational responses of FG shallow shells with the variable thickness. Also, the presence of porosities that can occur during the fabrication of FG materials is considered. One of the highlights here is to consider the influence of the physical neutral surface. Before conducting the analysis of these FG structures, firstly, it is important to establish governing equations based on the classical shell theory. These essential equations are used for the FG shallow shells. Then, by setting the Navier solution with the help of simply supported boundary conditions, the natural frequencies are obtained. Finally, the numerical examples will be given to illustrate the effects of porosity coefficient, material and geometry parameters as well as the physical neutral surface on the natural frequencies. In addition, two numerical examples for verification will also be performed and thereby show the accuracy of the current method and model. It is hoped that the main results of this study can be useful not only to designers and researchers but also to be extended to more complex problems.

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Section: Introductionmentioning

confidence: 99%

Free vibration analysis of functionally graded shallow shells with variable thickness and physical neutral surface effects

Thang,

Do,

Nguyen-Thoi

et al. 2024

Proceedings of the Institution of Mechanical Engineers, Part C:

Self Cite

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“…In another study, the effects of stiffeners on the buckling of cylindrical shells under the torsional loads were investigated by Thang and Thoi. They used FGM for the coating of cylindrical shells (Thang and Nguyen-Thoi, 2016). Recently, a general FG shell element was presented, based on the both theories of thin and thick shell formulations, by Farikha and Dammak.…”

Section: Introductionmentioning

confidence: 99%

Analyzing FG shells with large deformations and finite rotations

Rezaiee‐Pajand

Masoodi

2019

WJE

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Purpose The purpose of this study is dedicated to use an efficient mixed strain finite element approach to develop a three-node triangular shell element. Moreover, large deformation analysis of the functionally graded material shells is the main contribution of this research. These target structures include thin or moderately thick panels. Design/methodology/approach Due to reach these goals, Green–Lagrange strain formulation with respect to small strains and large deformations with finite rotations is used. First, an efficient three-node triangular degenerated shell element is formulated using tensorial components of two-dimensional shell theory. Then, the variation of Young’s modulus through the thickness of shell is formulated by using power function. Note that the change of Poisson’s ratio is ignored. Finally, the governing linearized incremental relation was iteratively solved using a high potential nonlinear solution method entitled generalized displacement control. Findings Some well-known problems are solved to validate the proposed formulations. The suggested triangular shell element can obtain the exact responses of functionally graded (FG) shell structures, without any shear locking, instabilities and ill-conditioning, even by using fewer numbers of the elements. The obtained outcomes are compared with the other reference solutions. All findings demonstrate the accuracy and capability of authors’ element for analyzing FG shell structures. Research limitations/implications A mixed strain finite element approach is used for nonlinear analysis of FG shells. These structures are curved thin and moderately thick shells. Small strains and large deformations with finite rotations are assumed. Practical implications FG shells are mostly made curved thin or moderately thick, and these structures have a lot of applications in the civil and mechanical engineering. Social implications The social implication of this study is concerned with how technology impacts the world. In short, the presented scheme can improve structural analysis ways. Originality/value Developing an efficient three-node triangular element, for geometrically nonlinear analysis of FG doubly-curved thin and moderately thick shells, is the main contribution of the current research. Finite rotations are considered by using the Taylor’s expansion of the rotation matrix. Mixed interpolation of strain fields is used to alleviate the locking phenomena. Using fewer numbers of shell elements with fewer numbers of degrees of freedom can reduce the computational costs and errors significantly.

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“…In order to analyze its mechanical properties, classical formulas were modified and new theories were proposed (Huang and Li, 2010b;Shafiei et al, 2016a;Shafiei et al, 2016b;Zhang, 2013;Thinh et al, 2016). However, with emerging new demands in manufacturing and engineering, most of the previous studies related to FGMs whose effective material properties only vary in the direction of thickness or length can't meet those needs and challenges very well (Nemat-Alla, 2003;Fan et al, 2013;Lü et al, 2009;Wang et al, 2016;Lei et al, 2016;Gupta et al, 2015;Thang and Nguyen-Thoi, 2016). Consequently, in recent years, more and more researchers have been studying structural components made of two or three-directional functionally graded materials and subjected to different types of functionally graded distribution (Şimşek, 2015;Hao and Wei, 2016;Lü et al, 2008;Nguyen et al, 2017;Pydah and Sabale, 2017;Nejad and Hadi, 2016a;Nejad and Hadi, 2016b;Nejad et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method

Gao

Xiao

Zhu

2019

Lat. Am. j. solids struct.

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Free vibration of a bimaterial circular nano-tube is investigated. The tube is formed by bonding together a Si3N4/SUS304 functionally graded upper semi tube and a ZrO2/Ti-6Al-4V functionally graded lower semi tube. The material properties of the tube are assumed to vary along the radius according to power law with the power index of upper semi tube differing from that of lower semi tube. Based on non-local elasticity theory and Hamilton's principle, a refined beam model considering the effect of transverse shear deformation is used to derive the governing equations, then analytical solution is obtained by using a two-steps perturbation method. Our results were compared with the existing ones. The effects on tube's linear and non-linear frequency are analyzed of the factors, including small scale parameter, temperature, the double volume fraction indexes, slenderness ratio and different types of beam model. A new approach is suggested in this article to change the natural frequency of the tubes by adjusting constituent materials. In contrast to conventional approach, the new one can result in more accurate frequency control in the same dimensionless size of tubes.

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Effect of stiffeners on nonlinear buckling of cylindrical shells with functionally graded coatings under torsional load

Cited by 22 publications

References 72 publications

Free vibration analysis of functionally graded shallow shells with variable thickness and physical neutral surface effects

Free vibration analysis of functionally graded shallow shells with variable thickness and physical neutral surface effects

Analyzing FG shells with large deformations and finite rotations

Free vibration analysis of nano-tubes consisted of functionally graded bi-semi-tubes by a two-steps perturbation method

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