Nonlinear dynamic response and vibration of shear deformable piezoelectric functionally graded truncated conical panel in thermal environments

Chan, Do Quang; Quan, Tran Quoc; Kim, Seung-Eock; Duc, Nguyen Dinh

doi:10.1016/j.euromechsol.2019.103795

Cited by 35 publications

(10 citation statements)

References 20 publications

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“…Ansari et al [25] employed the higher-order shear deformation shell theory to study the free vibrations and large-amplitude forced vibrations of a composite conical shell reinforced by FG carbon nanotubes. Chan et al [26][27] investigated the nonlinear dynamic behavior of the truncated eccentrically stiffened FG conical shell and truncated FG conical panel. The Haar wavelet method was used to derive the frequencies of a truncated rotating conical shell [28] .…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration of functionally graded graphene platelet-reinforced composite truncated conical shell using first-order shear deformation theory

Yang

Hao

Zhang

et al. 2021

Appl. Math. Mech.-Engl. Ed.

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In this study, the first-order shear deformation theory (FSDT) is used to establish a nonlinear dynamic model for a conical shell truncated by a functionally graded graphene platelet-reinforced composite (FG-GPLRC). The vibration analyses of the FG-GPLRC truncated conical shell are presented. Considering the graphene platelets (GPLs) of the FG-GPLRC truncated conical shell with three different distribution patterns, the modified Halpin-Tsai model is used to calculate the effective Young’s modulus. Hamilton’s principle, the FSDT, and the von-Karman type nonlinear geometric relationships are used to derive a system of partial differential governing equations of the FG-GPLRC truncated conical shell. The Galerkin method is used to obtain the ordinary differential equations of the truncated conical shell. Then, the analytical nonlinear frequencies of the FG-GPLRC truncated conical shell are solved by the harmonic balance method. The effects of the weight fraction and distribution pattern of the GPLs, the ratio of the length to the radius as well as the ratio of the radius to the thickness of the FG-GPLRC truncated conical shell on the nonlinear natural frequency characteristics are discussed. This study culminates in the discovery of the periodic motion and chaotic motion of the FG-GPLRC truncated conical shell.

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Section: Introductionmentioning

confidence: 99%

Nonlinear vibration of functionally graded graphene platelet-reinforced composite truncated conical shell using first-order shear deformation theory

Yang

Hao

Zhang

et al. 2021

Appl. Math. Mech.-Engl. Ed.

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“…Chan el al. [11] took nonlinearity into account and evaluated the dynamic response and vibration of FG truncated conical panel in thermal environments. Panda and his collaborators [43,50] derived a finite element solutions of the buckling and post-buckling responses of FG shell panels in thermal environment.…”

Section: Introductionmentioning

confidence: 99%

Thermo-elastic buckling and post-buckling analysis of functionally graded thin plate and shell structures

Trabelsi

Zghal

Dammak

2020

J Braz. Soc. Mech. Sci. Eng.

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In this paper, we extend the Kirchhoff-Love model to thermal buckling and post-buckling analysis of functionally graded structures. The kernel idea of the proposed model consists of the consideration of large displacements and finite rotation to accurately model the thermal effects on buckling and post-buckling behavior of such structures. Both uniform and nonuniform temperature distributions are considered. Material properties of the FG structures are graded in the thickness direction and assumed to obey a power law distribution of the volume fraction of the constituents. The effectiveness and usefulness of the proposed model are highlighted through different numerical examples, and the effects of the volume fraction exponent, thermal loads, length-to-thickness ratio, boundary conditions and geometrical parameters on the buckling and post-buckling behavior of FGM structures are also examined.

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“…Hajmohammad et al [12] have Technical Editor: Wallace Moreira Bessa, D.Sc.. studied vibration and smart control of laminated sandwich conical shells containing piezoelectric layers based on layerwise first-order shear deformation theory by means of differential quadrature method. Chan et al [13] have presented the nonlinear dynamic and vibration responses of functionally graded conical panel with piezoelectric actuators resting on elastic foundations in thermal environment based on Galerkin and Runge-Kutta methods. Mohammadrezazadeh and Jafari [14] have presented active vibration control of isotropic conical shells with magnetostrictive layers.…”

Section: Introductionmentioning

confidence: 99%

“…the partial differential equations for the vibration of the rotating laminated composite truncated conical shell are extracted in the following forms: Substituting Eqs. (2), (3), (8), (9),(12) and(13) into Eqs. (24)-(28) leads to the following matrix relationship:…”

mentioning

confidence: 99%

Active vibration control of rotating laminated composite truncated conical shells through magnetostrictive layers based on first-order shear deformation theory

Mohammadrezazadeh

Jafari

2020

J Braz. Soc. Mech. Sci. Eng.

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In this paper, for the first time active vibration control of rotating laminated composite truncated conical shells containing magnetostrictive layers by employing first-order shear deformation theory is investigated. The active vibration control task is done through magnetostrictive layers employing velocity feedback control law. The effects of initial hoop tension and centrifugal and Coriolis forces are considered in extraction of the partial differential equations through Hamilton principle. The ordinary differential equations are derived by employing modified Galerkin method. This study agrees with the mentioned results of the literature. Finally, the effects of several parameters on the vibration suppression are investigated.

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Nonlinear dynamic response and vibration of shear deformable piezoelectric functionally graded truncated conical panel in thermal environments

Cited by 35 publications

References 20 publications

Nonlinear vibration of functionally graded graphene platelet-reinforced composite truncated conical shell using first-order shear deformation theory

Nonlinear vibration of functionally graded graphene platelet-reinforced composite truncated conical shell using first-order shear deformation theory

Thermo-elastic buckling and post-buckling analysis of functionally graded thin plate and shell structures

Active vibration control of rotating laminated composite truncated conical shells through magnetostrictive layers based on first-order shear deformation theory

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