Vibration analysis of the multi-walled carbon nanotube reinforced doubly curved laminated composite shallow shell panels: An experimental and numerical study:
01 Jun 2021-Journal of Sandwich Structures and Materials (SAGE PublicationsSage UK: London, England)-Vol. 23, Iss: 5, pp 1594-1634
TL;DR: In this paper, free and forced vibration analysis of the multi-walled carbon nanotube reinforced doubly curved laminated composite shallow shell panels has been performed and the governing differentia have been discussed.
Abstract: In this study, free and forced vibration analysis of the multi-walled carbon nanotube reinforced doubly curved laminated composite shallow shell panels has been performed. The governing differentia...
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TL;DR: In this paper , a unified quasi-three-dimensional (quasi-3D) solution for the free vibration analysis of rotating pre-twisted laminated composite shell panels is presented.
6 citations
TL;DR: In this paper , the response of doubly curved shells subjected to rapid surface heating is investigated by means of the Halpin-Tsai rule where the size of the reinforcements is also included.
Abstract: An investigation is performed in this research to study the response of doubly curved shells subjected to rapid surface heating. Doubly curved shell is made from a composite laminated media where each layer is reinforced with graphene platelets (GPLs). Also each layer may have different amount of GPLs which results in a piecewise functionally graded graphene platelet reinforced composite (FG-GPLRC) shell. The elasticity modulus of the shell is estimated by means of the Halpin-Tsai rule where the size of the reinforcements is also included. It should be noted that mass density, thermal expansion coefficient, Poisson’s ratio and specific heat are evaluated using the simple rule of mixture approach. The one-dimension transient heat conduction equation is established and solved for each layer of the composite media. The continuity of the temperature change and heat flux are also considered between the layers. After that, time dependent thermal moment and thermal force are evaluated and inserted into the equations of motion of the structure. First order shear deformation theory of shells and Donnell kinematics are applied to establish the basic equations of the shell. With the aid of the Ritz method and Chebyshev polynomials as the basic functions, the matrix representation of the motion equations of the doubly curved shallow shells subjected to rapid surface heating are established. These equations are traced in time using the Newmark time marching scheme. Results of this study are compared with the available data in the open literature. After that novel results are provided for vibrations induced by rapid surface heating in FG-GPLRC doubly curved shells.
4 citations
27 Mar 2021
TL;DR: In this paper, the free vibration characteristics of rotating pretwisted sandwich conical shell panels with two functionally graded carbon nanotube-reinforced carbon-coated co...
Abstract: 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 co...
3 citations
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TL;DR: In this paper , the nonlinear vibration characteristics and response of laminated carbon fiber reinforced resin (CFRR) doubly-curved shallow shell with a porous microcapsule coating under hygrothermal environment is investigated.
Abstract: In this paper, the nonlinear vibration characteristics and response of laminated carbon fiber reinforced resin (CFRR) doubly-curved shallow shell with a porous microcapsule coating under hygrothermal environment is investigated. Based on the first-order shear deformation theory, the nonlinear equations of motion are obtained by using Hamilton’s principle, which are solved by utilizing the direct integration method and Runge–Kutta method. The effect of temperature and moisture, geometric parameters of microcapsules, geometric parameters of the shell, laying angle for carbon fiber and porosity of coating matrix are considered. Through numerical examples, it is found that temperature, moisture, length of edges, laying angle for carbon fiber and porosity of coating matrix have a positive effect on the dimensionless nonlinear frequency ratio, but negative effect on the dimensionless linear and nonlinear natural frequency of the shell. In addition, temperature, moisture, length of edges, laying angle for carbon fiber and porosity of coating matrix are proportional to the dimensionless nonlinear amplitude of the shell.
1 citations
TL;DR: In this paper , the dynamic behavior of the hybrid laminated composite shell panel structure has been investigated experimentally and numerically, and a series of parametric studies have been carried out with an aim to investigate the influence of hybridization, geometry ratios, and shell type on dynamic responses.
Abstract: The dynamic behavior of the hybrid laminated composite shell panel structure has been investigated in this work, experimentally and numerically. To access the influence of hybridization, the glass-epoxy and the banana-epoxy lamina have been prepared and stacked together in various order using the hand lay-up method. The effective material properties like Young's modulus and shear modulus are obtained using the tensile test. In continuation, the experimental dynamic (frequency) responses are obtained using the in-house vibration test facility. Further, the limitation of the experimental work like time, cost, and repetition of experimentation for various sets of composites and to check the parametric effect on dynamic responses, leads to the development of the numerical model. The numerical approach/model of hybrid laminated composite is developed within the framework of higher-order shear deformation theory and the well-known finite element method. However, the energy method along with the Hamilton principle leads to the derivation of governing equation of vibration of a hybrid laminated shell panel. First of all, the numerical model's compatibility with the element has been checked via a numerical example. In addition to that, the model's accuracy has been verified by comparing the present dynamic responses with that of the experimentally predicted responses, responses predicted with ANSYS, and with the previously attempted numerical example responses. After the necessary and satisfactory treatment of the numerical model, a series of parametric studies have been carried out with an aim to investigate the influence of hybridization, geometry ratios, and shell type on dynamic responses. Finally, the suggestions/useful remarks for the future application of hybrid composite have been discussed in detail.
1 citations
References
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TL;DR: In this paper, the free vibration of laminated two-side simply-supported cylindrical panels is analyzed by the mesh-free kp-Ritz method, where the reproducing kernel particle estimation is employed in hybridized form with harmonic functions to approximate the two-dimensional displacement field.
58 citations
"Vibration analysis of the multi-wal..." refers methods or result in this paper
...The similar trend behavior in natural frequencies of composites structure was also observed in the literature [3,8,16]....
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...[8] investigated the free vibration response of the cylindrical shell through KP Ritz method based on the Kirchhoff hypothesis, and the boundary conditions were employed with the penalty approach for solving the numerical problem....
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TL;DR: In this article, a unified and exact solution method is developed for the free vibration analysis of composite laminated shallow shells with general elastic boundary conditions, a class of problem which is of practical interest and fundamental importance but rarely attempted in the literature.
53 citations
"Vibration analysis of the multi-wal..." refers methods in this paper
...[12] also presented the exact solutions through the Rayleigh–Ritz method for the vibration analysis of the composite shallow shell panel with different shell geometry, stacking sequence, and boundary conditions where the greater frequency was obtained at spherical geometry under the Clamped–Clamped–Clamped–Clamped (CCCC) support condition....
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TL;DR: In this article, the effect of various boundary conditions on the frequency analysis of doubly curved nanocomposite panels is studied, and the corresponding mode shapes are depicted, and a good agreement between the results given by present model and available data in the literature is justified.
Abstract: Vibration characteristics of moderately thick doubly curved functionally graded composite panels reinforced by carbon nanotube are analyzed. Here, special cases of doubly curved shell panels such as spherical, cylindrical and hyperbolic paraboloid panels and five different distributions of carbon nanotubes through the thickness direction are considered. By utilizing the modified rule of mixture, mechanical properties are estimated. The equations of motion are derived via the first-order shear deformation theory, and non-dimensional frequencies are obtained by the use of Galerkin’s method. The suggested model is justified by a good agreement between the results given by present model and available data in the literature. The influences of volume fraction of carbon nanotubes, thickness ratio, aspect ratio, curvature ratio, and shallowness ratio on the frequencies of moderately thick doubly curved nanocomposite shell panels are also examined. Furthermore, the effect of various boundary conditions on the frequency analysis of doubly curved nanocomposite panels is studied, and the corresponding mode shapes are depicted.
49 citations
Additional excerpts
...Pouresmaeeli and Fazelzadeh [38] addressed the numerical model on influence of CNT in the dynamic characteristics of the moderately thick doubly curved composite shallow shell panel with FSDT; the performed parametric studies to investigate the effect of thickness, aspect, curvature, and shallowness ratio on the 1598 Journal of Sandwich Structures & Materials 23(5)...
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...Pouresmaeeli and Fazelzadeh [38] addressed the numerical model on influence of CNT in the dynamic characteristics of the moderately thick doubly curved composite shallow shell panel with FSDT; the performed parametric studies to investigate the effect of thickness, aspect, curvature, and shallowness ratio on the natural frequencies of the doubly curved laminated composite shell panel; and reported that the natural frequencies were increased with respect to the thickness and aspect ratio; however, it was decreased with respect to the curvature ratio....
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TL;DR: In this article, a dynamic analysis of laminated cross-ply composite non-circular thick cylindrical shells subjected to thermal/mechanical load is carried out based on higher-order theory.
44 citations
"Vibration analysis of the multi-wal..." refers methods in this paper
...[7] studied the structural response of the non-circular thick cylindrical shell with the zig-zag formulation based on the higher order theory....
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TL;DR: In this paper, the static, free vibration and the transient behavior of the laminated composite flat/curved panels have been investigated using two higher-order midplane kinematics and compared with the available published numerical/analytical results.
Abstract: In this present article, the static, free vibration and the transient behavior of the laminated composite flat/curved panels have been investigated. The deflections and the natural frequencies of the laminated composite flat panels have been computed numerically using two higher-order mid-plane kinematics and compared with the available published numerical/analytical results. The results are also validated with the experimentally obtained responses (three point bend test and modal analysis). In addition to that, the transient behavior of the laminated structure is also computed numerically and compared with the results available in the open literature. The static, free vibration and the transient responses of the laminated panel are also computed using the simulation model developed in commercial finite element package (ANSYS) based on the ANSYS parametric design language code and compared with present numerical and experimental results. Finally, the importance of the developed higher-order models and the effect of the different parameters have been shown by computing the responses for different parameters and discussed in details.
39 citations
"Vibration analysis of the multi-wal..." refers methods in this paper
...[17] presented the vibration characteristics of the curved laminated composite shallow shell with the different numerical models (such as ANSYSR and higher order shear deformation theory (HSDT)), concluded that stiffness of the curved panels was decreased with increase in the thickness ratio and curvature ratio with irrespective to the boundary conditions, and observed the better stability with the spherical shell panel structure....
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