Free vibration of rotating pretwisted FG-GRC sandwich conical shells in thermal environment using HSDT

Singha, Tripuresh Deb; Rout, Mrutyunjay; Bandyopadhyay, Tanmoy; Karmakar, Amit

doi:10.1016/j.compstruct.2020.113144

Cited by 54 publications

(11 citation statements)

References 49 publications

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“…They examined the effects of the porosity parameter and pore dispersion pattern on the shell’s natural frequencies. Using FEM, Singha et al 12 analyzed the free vibration of rotating pre-twisted sandwich conical shells with a homogenous core and FG graphene-reinforced face sheets in a thermal environment. They studied the effect of graphene distribution patterns on natural frequencies.…”

Section: Introductionmentioning

confidence: 99%

The vibration study of a sandwich conical shell with a saturated FGP core

Esfahani

Hashemian

Aghadavoudi

2022

Sci Rep

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This paper is provided to analyze the free vibration of a sandwich truncated conical shell with a saturated functionally graded porous (FGP) core and two same homogenous isotropic face sheets. The mechanical behavior of the saturated FGP is assumed based on Biot’s theory, the shell is modeled via the first-order shear deformation theory (FSDT), and the governing equations and boundary conditions are derived utilizing Hamilton’s principle. Three different porosity distribution patterns are studied including one homogenous uniform distribution pattern and two non-homogenous symmetric ones. The porosity parameters in mentioned distribution patterns are regulated to make them the same in the shell’s mass. The equations of motion are solved exactly in the circumferential direction via proper sinusoidal and cosinusoidal functions, and a numerical solution is provided in the meridional direction utilizing the differential quadrature method (DQM). The precision of the model is approved and the influences of several parameters such as circumferential wave number, the thickness of the FGP core, porosity parameter, porosity distribution pattern, the compressibility of the pore fluid, and boundary conditions on the shell’s natural frequencies are investigated. It is shown that the highest natural frequencies usually can be achieved when the larger pores are located close to the shell’s middle surface and in each vibrational mode, there is a special value of the porosity parameter which leads to the lowest natural frequencies. It is deduced that in most cases, natural frequencies decrease by increasing the thickness of the FGP core. In addition, reducing the compressibility of the porefluid a small growth in the natural frequencies can be seen.

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Section: Introductionmentioning

confidence: 99%

The vibration study of a sandwich conical shell with a saturated FGP core

Esfahani

Hashemian

Aghadavoudi

2022

Sci Rep

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“…Qin et al [ 22 ] used the Rayleigh-Ritz method which based on the energy variation principle to solve the free vibration problem of a cylindrical shell-ring-plate coupling system. Singha et al [ 23 ] analyzed the free vibration characteristics of rotating pretwisted sandwich conical shells in a thermal environment based on high-order shear deformation theory by using a finite element method. Talebitooti et al [ 24 ] investigated the frequency behaviors of the joined conical-conical panel structures based on FSDT by applying Hamilton’s principle.…”

Section: Introductionmentioning

confidence: 99%

Meshless Chebyshev RPIM Solution for Free Vibration of Rotating Cross-Ply Laminated Combined Cylindrical-Conical Shells in Thermal Environment

Zhong

et al. 2022

Materials

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This paper provides a numerical solution to the vibration of a rotating cross-ply laminated combined conical-cylindrical shell in the thermal environment. Its numerical discrete solution method uses the meshless method. The combined shell assumed the temperature independence of material property is divided to the fundamental conical and cylindrical shell substructures, and the theoretical formulation for each substructure is derived based on the first order shear deformation theory (FSDT) and Hamilton’s principle. The effects of the initial hoop tension and temperature change are considered through the kinetic energy reflecting the effects of centrifugal and Coriolis forces and additional strain energy by the nonlinear part of the Green–Lagrange strains. The substructures are then assembled according to the continuity conditions. The boundary and continuity conditions are simulated by introducing artificial virtual spring technology. The displacement component in the theoretical formulation is approximated using a meshless Chebyshev-RPIM shape function. The reliability of the method is verified by comparing with mature and reliable results. The free vibration characteristics of the rotating combined conical-cylindrical shell structure under various sizes, speeds and temperatures are given by numerical examples.

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“…[7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] . Many studies have been focused on the free vibration behaviors, dynamic and thermoelastic analyses of different FG-GPLRC structures such as beams, plates, panels, cylindrical and conical shells in recent years [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44] . However, to the best of our knowledge, less attention is devoted to the mechanical and thermo-mechanical behavior of FG-GPLRC spherical panels [41][42][43][44][45][46][47][48] .…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Response of Multilayer FG-GPLRC Spherical Panels Under Blast Loading

Heydarpour

Malekzadeh

Zhu

2022

Int. J. Str. Stab. Dyn.

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In the present research, the dynamic responses of the multilayer functionally graded graphene platelets reinforced composite (FG-GPLRC) spherical panels under blast loading are studied. Three-dimensional elasticity theory is employed to derive the governing equations. The distribution of graphene platelets (GPLs) in each layer is uniform and random with a constant weight fraction. GPLs concentration across the panel thickness may be uniform or graded. The layerwise-differential quadrature method (LW-DQM) together with a non-uniform rational B-spline-based multi-step time integration scheme is used to discretize the motion equations. The convergence behavior of the method is examined numerically. Further, to assure its accuracy, the results in the limit cases are compared with those available in the literature. Finally, through the parametric studies, the effects of material and geometrical parameters such as GPLs distribution patterns, GPLs weight fraction and dimension ratios on the transient responses of the FG-GPLRC spherical panels subjected to blast loading are investigated.

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Free vibration of rotating pretwisted FG-GRC sandwich conical shells in thermal environment using HSDT

Cited by 54 publications

References 49 publications

The vibration study of a sandwich conical shell with a saturated FGP core

The vibration study of a sandwich conical shell with a saturated FGP core

Meshless Chebyshev RPIM Solution for Free Vibration of Rotating Cross-Ply Laminated Combined Cylindrical-Conical Shells in Thermal Environment

Three-Dimensional Response of Multilayer FG-GPLRC Spherical Panels Under Blast Loading

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