Nonlinear vibration analysis of FGM truncated conical shells subjected to harmonic excitation in thermal environment

Aris, Hamid; Ahmadi, Habib

doi:10.1016/j.mechrescom.2020.103499

Cited by 30 publications

(7 citation statements)

References 44 publications

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“…To complete these works, they hired particle swarm optimization to find the best values of mass fractions of the CNTs and fibers and orientation of the fibers to minimize the cost and maximize the fundamental frequency of the three-phase CNT/polymer/fiber laminated truncated conical panels 6 . Aris and Ahmadi 7 studied the analysis of the nonlinear resonance of FGM (functionally graded materials) truncated conical shells exposed to an external harmonic excitation and thermal loading. They examined the effects of the shell’s geometrical characteristics and temperature on the nonlinear vibrational characteristics of the shell.…”

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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“…Efforts have also been made to study the influence of temperature on vibration of FGM structures. Aris 32 and Yang 33 study the nonlinear vibration of FGM-truncated conical shell in thermal environment. Then, Fu 34 investigated FGM conical shell subjected to parametric excitation and nonlinear thermal loading.…”

Section: Introductionmentioning

confidence: 99%

Investigation on vibration of the functionally graded material–stepped cylindrical shell coupled with annular plate in thermal environment

Chen

Wang

Qin

et al. 2021

Journal of Low Frequency Noise, Vibration and Active Control

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This article is concerned with thermal vibration behaviors of the functionally graded material–stepped cylindrical shell coupled with annular plate, including free vibration, transient response, and steady state response. The stepped cylindrical shell is divided into N s segments at locations of thickness and radius variations, which is coupled with N p annular plates. The boundary and coupling conditions are achieved by introducing the artificial virtual spring technology. Under the framework of FSDT, the displacement function of arbitrary shell segment and annular plate is expanded with Chebyshev polynomials and Fourier series for circumferential direction. Compared with results obtained by the finite element method and the references, a series of numerical examples and validations are presented to verify the convergence and accuracy of the current method. The effects of the relevant parameters containing the geometric parameters, boundary conditions, various loadings, and the thermal environment are investigated in detail.

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“…Moghaddam and Ahmadi (2020) presented a strategy for active vibrations control using the classical shell theory. Aris and Ahmadi (2020) investigated the nonlinear primary resonance analysis of FG TCSs subjected to external excitation in the thermal environment using MSM. Also, some researchers have studied the nonlinear vibrations of cylindrical shells.…”

Section: Introductionmentioning

confidence: 99%

Combination resonance analysis of imperfect functionally graded conical shell resting on nonlinear viscoelastic foundation in thermal environment under multi-excitation

Aris

Ahmadi

2021

Journal of Vibration and Control

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In this work, nonlinear forced vibrations of truncated conical shells are presented using a semi-analytical method. The material properties are varied along the thickness direction as a power law distribution. The functionally graded truncated conical shells are exposed to external harmonic load and placed in the thermal environment and have an initial imperfection. Furthermore, the functionally graded truncated conical shells rests on generalized nonlinear viscoelastic foundations which consisted of a Winkler and Pasternak foundation parameters augmented by a Kelvin–Voigt viscoelastic model and a nonlinear cubic stiffness. The fundamental equations are extracted using first-order shear deformation theory in conjunction with nonlinear von Kármán relationships. The partial differential equations of truncated conical shells are reduced through Galerkin’s method, and the result is extracted using the multiple scales method. To analyze the resonance analyses, a two-term external excitation is considered. In this regard, various secondary resonances are investigated, and finally, the analyses about combination resonances are represented. To investigate the presented approach, a comparison study is performed with those addressed by other researchers. To analyze the nonlinear combination resonance behavior of truncated conical shells, the effect of geometrical characteristics, material properties, power law index, thermal effects, external load amplitude, and initial imperfection are examined. Finally, the steady-state responses of the nonlinear system are analyzed. As one of the most interesting results, the softening behavior of truncated conical shells with inverse quadratic distribution is the most, and for the quadratic distribution is the least.

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Nonlinear vibration analysis of FGM truncated conical shells subjected to harmonic excitation in thermal environment

Cited by 30 publications

References 44 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

Investigation on vibration of the functionally graded material–stepped cylindrical shell coupled with annular plate in thermal environment

Combination resonance analysis of imperfect functionally graded conical shell resting on nonlinear viscoelastic foundation in thermal environment under multi-excitation

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