Thermal effect on free vibration of functionally graded truncated conical shell panels

Jooybar, Najmeh; Malekzadeh, P.; Fiouz, Alireza; Vaghefi, Mohammad

doi:10.1016/j.tws.2016.01.032

Cited by 78 publications

(11 citation statements)

References 29 publications

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“…Since there are few literatures focused on the study of FGM conical panels in the thermal environment, especially taking into account the geometric imperfection, cylindrical panels are considered to validate the method. For this purpose, according to the Rayleigh-Ritz method, the dimensionless fundamental frequency = ( 2 /ℎ)√ 0m / 0m is compared with the results from Shen and Wang [34] and Jooybar et al [35] for the simply supported cylindrical panel with the geometric parameters as ℎ = 0.001 m, / = 1, /ℎ = 20, and = 180 ∘ / , respectively. It is apparent from Table 2 that the present results are in good agreement with literatures and further verify the present approach.…”

Section: Numerical Resultsmentioning

confidence: 99%

Nonlinear Dynamics of Imperfect FGM Conical Panel

Niu

Hao

Yao

et al. 2018

Shock and Vibration

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Structures composed of functionally graded materials (FGM) can satisfy many rigorous requisitions in engineering application. In this paper, the nonlinear dynamics of a simply supported FGM conical panel with different forms of initial imperfections are investigated. The conical panel is subjected to the simple harmonic excitation along the radial direction and the parametric excitation in the meridian direction. The small initial geometric imperfection of the conical panel is expressed by the form of the Cosine functions. According to a power-law distribution, the effective material properties are assumed to be graded along the thickness direction. Based on the first-order shear deformation theory and von Karman type nonlinear geometric relationship, the nonlinear equations of motion are established by using the Hamilton principle. The nonlinear partial differential governing equations are truncated by Galerkin method to obtain the ordinary differential equations along the radial displacement. The effects of imperfection types, half-wave numbers of the imperfection, amplitudes of the imperfection, and damping on the dynamic behaviors are studied by numerical simulation. Maximum Lyapunov exponents, bifurcation diagrams, time histories, phase portraits, and Poincare maps are obtained to show the dynamic responses of the system.

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Section: Numerical Resultsmentioning

confidence: 99%

Nonlinear Dynamics of Imperfect FGM Conical Panel

Niu

Hao

Yao

et al. 2018

Shock and Vibration

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“…The outstanding mechanical, electrical, and thermal properties of FG CNTs make them very attractive for many current and future engineering applications, more than conventional carbon fiber reinforced composites [21][22][23]. The modern technology has also allowed a combined use of FGMs and CNTs in various structural elements, which is reflected in the introduction of a great number of advanced theoretical and numerical methods to solve even more complicated problems, with a special focus on mesh-free methods [24][25][26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Buckling Behavior of FG-CNT Reinforced Composite Conical Shells Subjected to a Combined Loading

et al. 2020

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The buckling behavior of functionally graded carbon nanotube reinforced composite conical shells (FG-CNTRC-CSs) is here investigated by means of the first order shear deformation theory (FSDT), under a combined axial/lateral or axial/hydrostatic loading condition. Two types of CNTRC-CSs are considered herein, namely, a uniform distribution or a functionally graded (FG) distribution of reinforcement, with a linear variation of the mechanical properties throughout the thickness. The basic equations of the problem are here derived and solved in a closed form, using the Galerkin procedure, to determine the critical combined loading for the selected structure. First, we check for the reliability of the proposed formulation and the accuracy of results with respect to the available literature. It follows a systematic investigation aimed at checking the sensitivity of the structural response to the geometry, the proportional loading parameter, the type of distribution, and volume fraction of CNTs.

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“…Zhao et al [33], evaluated the free vibration analysis of conincal shell panels using element free Galerkin's method using classical thin shell theory based on Love's hypothesis. Jooybar et al [34], evaluated the thermally induced free vibration response of functionally graded truncated conical shell panels using the first-order shear deformation theory (FSDT). It is evident from the available literature that the studies on nonlinear free vibration analysis of piezolaminated composite conical shell panel subjected to thermoelectrical load are rearly dealt by the researchers due to the complexity associated with the conical shell panels.…”

Section: Introductionmentioning

confidence: 99%

Thermoelectrically induced nonlinear free vibration analysis of piezo laminated composite conical shell panel with random fiber orientation

Lal

Shegokar

2017

Curved and Layered Structures

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This paper presents the free vibration response of piezo laminated composite geometrically nonlinear conical shell panel subjected to a thermo-electrical loading. The temperature field is assumed to be a uniform distribution over the shell surface and through the shell thickness and the electric field is assumed to be the transverse component E 2 only. The material properties are assumed to be independent of the temperature and the electric field. The basic formulation is based on higher order shear deformation plate theory (HSDT) with von-Karman nonlinearity. A C 0 nonlinear finite element method based on direct iterative approach is outlined and applied to solve nonlinear generalized eigenvalue problem. Parametric studies are carried out to examine the effect of amplitude ratios, stacking sequences, cone angles, piezoelectric layers, applied voltages, circumferential length to thickness ratios, change in temperatures and support boundary conditions on the nonlinear natural frequency of laminated conical shell panels. The present outlined approach has been validated with those available results in the literature.

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Thermal effect on free vibration of functionally graded truncated conical shell panels

Cited by 78 publications

References 29 publications

Nonlinear Dynamics of Imperfect FGM Conical Panel

Nonlinear Dynamics of Imperfect FGM Conical Panel

Buckling Behavior of FG-CNT Reinforced Composite Conical Shells Subjected to a Combined Loading

Thermoelectrically induced nonlinear free vibration analysis of piezo laminated composite conical shell panel with random fiber orientation

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