Hygrothermal effects on the free vibration characteristics of delaminated composite pretwisted rotating conical shells

Bandyopadhyay, Tanmoy; Karmakar, Amit; Kishimoto, Kikuo

doi:10.1299/mej.2014smm0059

Cited by 5 publications

(4 citation statements)

References 20 publications

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“…The pretwisted sandwich conical shell panel having reference width b 0 is fixed at the periphery of a stiff hub of radius r rotating with a rotational speed X about zÀaxis as depicted in Figure 2. The mid-surface of the shallow sandwich conical shell is defined by 79,86…”

Section: Pretwisted Shell Modelmentioning

confidence: 99%

“…Hu et al 78 presented an efficient formulation for vibration analysis of rotating pretwisted composite deep open conical shells using the Rayleigh-Ritz method. Bandyopadhyay et al 79 employed the FEM based on Mindlin's plate theory to investigate hygrothermal effects on vibration characteristics of rotating delaminated composite conical shells with pretwist. Rout et al 80 performed the finite element vibration analysis of rotating pretwisted CNTRC cylindrical shells under different thermal conditions using FSDT.…”

Section: Introductionmentioning

confidence: 99%

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Thermoelastic free vibration of rotating pretwisted sandwich conical shell panels with functionally graded carbon nanotube-reinforced composite face sheets using higher-order shear deformation theory

Singha¹,

Bandyopadhyay

Karmakar

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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This article presents a numerical investigation on the free vibration characteristics of rotating pretwisted sandwich conical shell panels with two functionally graded carbon nanotube-reinforced composite (FG-CNTRC) face sheets and a homogeneous core in uniform thermal environments. The carbon nanotubes are considered to be aligned with the span length and distributed either uniformly or functionally graded along the thickness of the sandwich conical shell panel. The material properties of FG-CNTRC face sheets and homogenous core are assumed to be temperature-dependent and computed employing micromechanics models. The shallow conical shell is modeled using finite element method within a framework of the higher-order shear deformation theory. Lagrange’s equation of motion is employed to derive the dynamic equilibrium equations of sandwich conical shell panels rotating at moderate rotational speeds wherein Coriolis effect is neglected. Computer codes are developed on the basis of present mathematical formulation to determine the natural frequencies of the sandwich conical panels. Convergence and comparison studies are performed to examine the consistency and accurateness of the present formulation. The numerical results are presented to analyze the effects of various parameters on the natural frequencies of the pretwisted FG-CNTRC sandwich conical shell panels under different thermal conditions.

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Section: Pretwisted Shell Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermoelastic free vibration of rotating pretwisted sandwich conical shell panels with functionally graded carbon nanotube-reinforced composite face sheets using higher-order shear deformation theory

Singha¹,

Bandyopadhyay

Karmakar

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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“…61,62 However, cantilever pre-twisted open conical shells may be more appropriate models for the actual blades due to their variable chordwise curvature. [63][64][65][66][67] Bandyopadhyay et al 68 developed an FE procedure using Mindlin's plate theory to investigate the dynamic behavior of delaminated composite pretwisted conical shells subjected to multiple impacts in hygrothermal environments incorporating Green-Lagrange non-linear strains. The authors also included the modified indentation law in the FE formulation to evaluate the impact-induced contact force.…”

Section: Introductionmentioning

confidence: 99%

Transient response of pre-twisted FG-GRC sandwich conical shell subjected to low-velocity impact in thermal environment

Singha

Bandyopadhyay

Karmakar

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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A finite element method-based dynamic analysis of pre-twisted sandwich conical shell panel having functionally graded graphene-reinforced composite (FG-GRC) facings and homogenous core without or with pores under low-velocity impact in thermal environments is performed utilizing a higher-order shear deformation theory (HSDT). In each facing, the graphene sheets are either uniformly dispersed or layer-wise functionally graded across its thickness. The extended Halpin-Tsai model is employed to estimate the temperature-dependent elastic properties of the nanocomposite facings. The contact force induced between the impactor and target panel is computed through the modified Hertzian contact law. The equations of motion of the FG-GRC sandwich conical shell panel are formulated based on Lagrange’s equation. The solutions of the resulting equations of motion are obtained employing Newmark’s time integration scheme. After verifying the consistency and accurateness of the present method, the effects of some critical parameters like graphene grading profile, temperature, core-to-facings thickness ratio, pre-twist angle, span-to-cone length ratio, impactor’s initial velocity, impactor’s size, and porosity coefficient on the impact response of the pre-twisted FG-GRC sandwich conical shell panel in uniform thermal environments are scrutinized.

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“…Ghosh [11] analyzed the hygrothermal effects on the initiation and propagation of damage in composite shells due to low-velocity impacts. Bandyopardhyay et al [12] investigated the hygrothermal effects on the free vibration characteristics of delaminated carbon-epoxy composite pretwisted rotating conical shells. Hwu et al [13] presented a modified FSDT model for obtaining closed-form solutions of natural frequencies for certain particular problems of sandwich plates and shells.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration of the Blade with Variable Thickness

Jie

Zhang

Mao

2020

Mathematical Problems in Engineering

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In this paper, the nonlinear dynamic responses of the blade with variable thickness are investigated by simulating it as a rotating pretwisted cantilever conical shell with variable thickness. The governing equations of motion are derived based on the von Kármán nonlinear relationship, Hamilton’s principle, and the first-order shear deformation theory. Galerkin’s method is employed to transform the partial differential governing equations of motion to a set of nonlinear ordinary differential equations. Then, some important numerical results are presented in terms of significant input parameters.

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Hygrothermal effects on the free vibration characteristics of delaminated composite pretwisted rotating conical shells

Cited by 5 publications

References 20 publications

Thermoelastic free vibration of rotating pretwisted sandwich conical shell panels with functionally graded carbon nanotube-reinforced composite face sheets using higher-order shear deformation theory

Thermoelastic free vibration of rotating pretwisted sandwich conical shell panels with functionally graded carbon nanotube-reinforced composite face sheets using higher-order shear deformation theory

Transient response of pre-twisted FG-GRC sandwich conical shell subjected to low-velocity impact in thermal environment

Nonlinear Vibration of the Blade with Variable Thickness

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