Nonlinear Axisymmetric Vibration of Sandwich FGM Shallow Spherical Caps with Lightweight Porous Core

Minh, Tran Quang; Dong, Dang Thuy; Duc, Vu Minh; Tiến, Nguyễn Văn; Phương, Nguyễn Thị; Nam, Vũ Hoài

doi:10.1007/978-981-16-7160-9_38

Cited by 4 publications

(5 citation statements)

References 11 publications

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“…To satisfy the boundary condition (23), the approximate solutions of the problem are chosen as 35,36,38 where U,Ψ, and W are the amplitudes of the displacement, rotation and deflection components, respectively, and ξ is the size of the imperfection and is assumed to be small.…”

Section: Boundary Conditions Solution Forms and The Ritz Energy Methodsmentioning

confidence: 99%

“…To satisfy the boundary condition (23), the approximate solutions of the problem are chosen as 35,36,38…”

Section: Fundamental Formulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…For sandwich FGM spherical caps and circular plates, the bending, buckling, vibration and nonlinear dynamic problems were analyzed by Reddy et al, 34 Phuong et al, 35 Minh et al, 36 Alipour and Shariyat, 37 Anh and Duc, 38 and Fu et al 39 Based on the idea of FGM, in recent years, the types of nanocomposite including functionally graded graphene platelet reinforced composite (FG-GPLRC) and functionally graded carbon nanotube reinforced composite (FG-CNTRC) have also started to be studied. [40][41][42] These types of material also have the advantages of FGM such as lightness and good load capacity.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear thermo-mechanical buckling and postbuckling of sandwich FG-GPLRC spherical caps and circular plates with porous core by using higher-order shear deformation theory

Bui

Duong

et al. 2022

Journal of Thermoplastic Composite Materials

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The main aim of this research is to establish the algorithm for nonlinear thermo-mechanical buckling of sandwich functionally graded graphene platelet reinforced composite (FG-GPLRC) shallow spherical caps and circular plates with porous core under external pressure and/or uniformly distributed thermal load according to the higher-order shear deformation theory considering the von Karman nonlinearities. Sandwich spherical caps and circular plates are made by the porous core and two FG-GPLRC coatings and are assumed to be rested on an elastic foundation modeled by the Pasternak model. The equilibrium equation system in the form of nonlinear algebra can be approximately obtained using the Ritz energy method. The critical buckling loads and postbuckling curves can be explicitly determined. The effects of material parameters, geometrical parameters, porous core, and elastic foundation on thermo-mechanical buckling of sandwich spherical caps and circular plates with porous core and FG-GPLRC coatings are investigated and discussed in detail in the numerical investigation section.

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Section: Boundary Conditions Solution Forms and The Ritz Energy Methodsmentioning

confidence: 99%

“…To satisfy the boundary condition (23), the approximate solutions of the problem are chosen as 35,36,38…”

Section: Fundamental Formulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Nonlinear thermo-mechanical buckling and postbuckling of sandwich FG-GPLRC spherical caps and circular plates with porous core by using higher-order shear deformation theory

Bui

Duong

et al. 2022

Journal of Thermoplastic Composite Materials

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“…Applying the assumption of the shallowness of the caps, the complex spherical coordinate system was approximated to the polar coordinate system, and the nonlinear buckling and vibration of axisymmetric and un-axisymmetric functionally graded thin shallow spherical caps under uniform external pressure including temperature effects were analyzed by Bich et al [3,4]. The thermo-mechanical behavior of the FGM spherical caps was analyzed based on the classical shell theory (CST) and first shear deformation theory (FSDT), using different methods for nonlinear static buckling problem [5], and nonlinear vibration [6,7].…”

Section: Introductionmentioning

confidence: 99%

A new analytical approach of nonlinear thermal buckling of FG-GPLRC circular plates and shallow spherical caps using the FSDT and Galerkin method

Phuong

2022

Vietnam J. Mech.

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A new analytical approach for nonlinear thermal buckling of Functionally Graded Graphene Platelet Reinforced Composite (FG-GPLRC) circular plates and shallow spherical caps using the first-order shear deformation theory (FSDT) is presented in this paper. The circular plates and shallow spherical caps are assumed to be subjected to uniformly distributed thermal loads. By applying the Galerkin method, the relations between thermal load–deflection are achieved to determine the postbuckling behavior and critical buckling loads of the considered structures. Special effects on the nonlinear thermal behavior of circular plates and shallow spherical caps with five different material distribution laws, different Graphene platelet (GPL) mass fractions, and geometrical dimensions are explored and discussed in numerical examples.

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A Novel Analytical Approach for Nonlinear Thermo-Mechanical Buckling of Higher-Order Shear Deformable Porous Circular Plates and Spherical Caps with FGM Face Sheets

Duong

Dang

et al. 2023

Int. J. Appl. Mechanics

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A novel analytical approach for nonlinear thermo-mechanical buckling of higher-order shear deformable porous circular plates and spherical caps with functionally graded material (FGM) face sheets resting on Pasternak elastic foundation is presented in this paper. The circular plates and spherical caps are assumed to be subjected to uniformly distributed external pressure and/or uniformly distributed thermal loads, and the nonlinear higher-order shear deformation theory (HSDT) is used for largely thick plates and caps with the shell-foundation interaction modeled by Pasternak elastic foundation. The caps are assumed to be shallow with clamped boundary conditions. The total potential energy expression of structures is established and the Ritz energy method is used to solve the problem directly from the total potential energy expression. The expressions between external pressure–deflection, thermal load–deflection, and thermo-mechanical combined load–defection can be obtained using the iterative algorithms. The critical buckling loads and postbuckling behavior of plates/caps are investigated numerically. Significant effects of foundation, porosity, structure parameters on the nonlinear thermo-mechanical responses of circular plates and spherical caps are numerically investigated and discussed, and the complex tendencies of postbuckling strength of plates and caps are obtained.

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Nonlinear Axisymmetric Vibration of Sandwich FGM Shallow Spherical Caps with Lightweight Porous Core

Cited by 4 publications

References 11 publications

Nonlinear thermo-mechanical buckling and postbuckling of sandwich FG-GPLRC spherical caps and circular plates with porous core by using higher-order shear deformation theory

Nonlinear thermo-mechanical buckling and postbuckling of sandwich FG-GPLRC spherical caps and circular plates with porous core by using higher-order shear deformation theory

A new analytical approach of nonlinear thermal buckling of FG-GPLRC circular plates and shallow spherical caps using the FSDT and Galerkin method

A Novel Analytical Approach for Nonlinear Thermo-Mechanical Buckling of Higher-Order Shear Deformable Porous Circular Plates and Spherical Caps with FGM Face Sheets

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