Vibration of cylindrical shells made of three layers W-Cu composite containing heavy water using Flügge-Lur'e-Bryrne theory

Ninh, Dinh Gia; Tien, Nguyen Duc; Hoang, Vu Ngoc Viet; Bich, Dao Huy

doi:10.1016/j.tws.2019.106414

Cited by 22 publications

(8 citation statements)

References 39 publications

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“…If F ¼ 0 and without damping, the frequency-amplitude relation of the nonlinear free vibration, from equation (37), is as…”

Section: Nonlinear Dynamic Analysismentioning

confidence: 99%

“…Kolahchi et al [28][29][30][31][32] presented the dynamic buckling analysis of nano/microplate with many models. Some authors also investigated nanocomposite structures with different approaches [33][34][35][36][37][38]. Besides, the buckling and vibration of FG-GPLRC composite structures have attracted significant the attention of researchers.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear dynamics of functionally graded graphene nanoplatelet reinforced polymer doubly-curved shallow shells resting on elastic foundation using a micromechanical model

Hoang

Tien

Ninh

et al. 2020

Jnl of Sandwich Structures & Materials

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The paper focuses on the nonlinear vibration of functionally graded graphene nanoplatelet reinforced composite doubly curved shallow shells resting on elastic foundations. The graphene nanoplatelet reinforced composites are assumed to be distributed uniformly and functionally graded through the thickness. The material properties are assumed to be temperature-dependent and are estimated through the Halpin–Tsai micromechanical model, while the Poisson’s ratio, density mass, and thermal expansion are implemented by the rule of mixtures. The mathematical formulation is developed based on the classical shell theory and Von Karman-Donnell geometrical nonlinearity assumption. The dynamical responses of a simply supported functionally graded-graphene nanoplatelet reinforced composite doubly curved shallow shells are obtained by employing the Airy’s stress function and the Galerkin’s method. The responses of nonlinear vibration as time history, frequency-amplitude curve, phase plane graphs, and Poincare maps are carried out in this paper. In addition, the effects of the environment, graphene nanoplatelets weight fraction, graphene nanoplatelets distribution patterns, and thickness-to-length ratio are scrutinized. The obtained results are also compared and validated with those of other studies.

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“…If F ¼ 0 and without damping, the frequency-amplitude relation of the nonlinear free vibration, from equation (37), is as…”

Section: Nonlinear Dynamic Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of functionally graded graphene nanoplatelet reinforced polymer doubly-curved shallow shells resting on elastic foundation using a micromechanical model

Hoang

Tien

Ninh

et al. 2020

Jnl of Sandwich Structures & Materials

Self Cite

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“…They also considered thermal effects and stated that mechanical buckling of the organic solar cell was more critical than thermal buckling. Ninh et.al [52] Investigated nonlinear vibration of W-Cu sandwich shell containing heavy water under thermo-mechanical loads. They concluded that the nonlinear response of sandwich shells have been significantly…”

Section: Introductionmentioning

confidence: 99%

A Quasi 3D Modified Strain Gradient Formulation for Static Bending of Functionally Graded Micro beams Resting on Winkler-Pasternak Elastic Foundation

Gholami

Alizadeh

2021

Scientia Iranica

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This paper presents the bending analysis of simply supported functionally graded (FG) size dependent beams based on modified strain gradient theory. The shear and normal deformations are considered in displacement field according to hyperbolic shear deformation theory. Governing equations and corresponding boundary conditions for FG micro beam are derived utilizing principle of minimum total potential energy. Mori-Tanaka homogenization scheme and the classical rule of mixture are used for prediction of material properties through the thickness.Effects of Winkler-Pasternak elastic foundation parameters are studied for different side to thickness ratios. Effects of different aspect ratios, elastic foundation parameters, power law gradient indexes and different loading conditions are investigated. The efficiency and accuracy of present model is demonstrated by comparing to the existing results in especial cases.

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“…e nonlinear shell theories have been studied in the past several decades [14]. Just like Donnell's shell theory [15,16] and Sanders' shell theory [17,18], Novozhilov theory [19,20], Koiter theory [21,22], and Flügge-Lur'e-Byrne theory [23,24], which are classic shell theories, assure the computing efficiency in dynamic equation establishment for thin cylindrical shells. To describe the nonlinear vibrations of thin shells accurately, the first-order shear deformation theory [25][26][27] and the third-order shear deformation theory [28][29][30] are usually applied.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration Analysis for Stiffened Cylindrical Shells Subjected to Electromagnetic Environment

Bai

Song

Zhang

2021

Shock and Vibration

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The nonlinear vibration behaviors of stiffened cylindrical shells under electromagnetic excitations, transverse excitations, and in-plane excitations are studied for the first time in this paper. Given the first-order shear deformation theory and Hamilton principle, the nonlinear partial differential governing equations of motion are derived with considering the von Karman geometric nonlinearity. By employing the Galerkin discretization procedure, the partial differential equations are diverted to a set of coupled nonlinear ordinary differential equations of motion. Based on the case of 1 : 2 internal resonance and principal resonance-1/2 subharmonic parametric resonance, the multiscale method of perturbation analysis is employed to precisely acquire the four-dimensional nonlinear averaged equations. From the resonant response analysis and nonlinear dynamic simulation, we discovered that the unstable regions of stiffened cylindrical shells can be narrowed by decreasing the external excitation or increasing the magnetic intensity, and their working frequency range can be expanded by reducing the in-plane excitation. Moreover, the different nonlinear dynamic responses of the stiffened cylindrical shell are acquired by controlling stiffener number, stiffener size, and aspect ratio. The presented approach in this paper can provide an eﬃcient analytical framework for nonlinear dynamics theories of stiffened cylindrical shells and will shed light on complex structure design in vibration test engineering.

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Vibration of cylindrical shells made of three layers W-Cu composite containing heavy water using Flügge-Lur'e-Bryrne theory

Cited by 22 publications

References 39 publications

Nonlinear dynamics of functionally graded graphene nanoplatelet reinforced polymer doubly-curved shallow shells resting on elastic foundation using a micromechanical model

Nonlinear dynamics of functionally graded graphene nanoplatelet reinforced polymer doubly-curved shallow shells resting on elastic foundation using a micromechanical model

A Quasi 3D Modified Strain Gradient Formulation for Static Bending of Functionally Graded Micro beams Resting on Winkler-Pasternak Elastic Foundation

Nonlinear Vibration Analysis for Stiffened Cylindrical Shells Subjected to Electromagnetic Environment

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