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
Additional excerpts
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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 Ritz method with algebraic polynomial displacement functions is used to analyze free vibrations of thin cantilevered laminated plates and shallow shells having rectangular planforms.
109 citations
"Vibration analysis of the multi-wal..." refers background or result in this paper
...Qatu and Leissa [3] presented the experimental and numerical study on the free vibration analysis of the laminated composite shallow shell under the cantilever condition....
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...The similar trend behavior in natural frequencies of composites structure was also observed in the literature [3,8,16]....
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...General kinematic strain–displacement relation equations for curved composite shell panel are represented in the following equations concerning with the global directions x, y, and z based on the literatures [3,4]....
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TL;DR: In this article, a simple first-order shear deformation shell theory (S-FSDST) was proposed for free and transient vibration analysis of composite laminated open cylindrical shells with general boundary conditions.
106 citations
"Vibration analysis of the multi-wal..." refers methods in this paper
...[19] investigated the dynamic response of the cylindrical composite shell through the method of reverberation ray matrix for various boundary conditions and concluded that the natural frequencies were decreased with increase in the aspect ratio and decreased with increase in the curvature ratio....
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TL;DR: In this article, the authors report the use of UV-vis spectroscopy as a useful technique to ascertain the degree of dispersion of multiwalled carbon nanotubes (MWCNT) in the epoxy resin.
Abstract: A suitable dispersion technique and quantitative evaluation of degree of dispersion of carbon nanotubes (CNT) in any solvent and matrix system has been one of the key issues for achieving enhanced performance of CNT reinforced composites. We report the use of UV–vis spectroscopy as a useful technique to ascertain the degree of dispersion of multiwalled carbon nanotubes (MWCNT) in the epoxy resin. The study has enabled to maximize dispersion of MWCNT in the epoxy resin using two different routes. As a result the composite samples prepared with only 0.3 wt.% amine functionalized MWCNT showed flexural strength of 140 MPa over the neat resin value of 55 MPa, an improvement of ~155% which is maximum reported so far for CNT-epoxy isotropic composites.
101 citations
"Vibration analysis of the multi-wal..." refers methods in this paper
...[25] presented the influence of dispersion techniques in the mechanical properties of the multi-walled carbon nanotube (MWCNT) reinforced polymer composites and achieved a better dispersion with the coupling agent that resulted in a significant improvement in the flexural strength of 155% with 0....
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TL;DR: In this paper, the authors compared the ILSS of hybrid composites made from glass fiber and multi-walled carbon nanotube (MWCNT) modified epoxy with unmodified epoxy/glass fiber composites (control).
99 citations
TL;DR: In this paper, the free vibration analysis of homogeneous and laminated doubly curved shells on rectangular planform and made of an orthotropic material has been presented using the three-dimensional elasticity equations.
97 citations
"Vibration analysis of the multi-wal..." refers background or result in this paper
...Bhimaraddi [4] presented the effectiveness of various shear deformation theories on the free vibration response of the orthotropic shallow shell laminate on rectangular planform condition, achieved the better results with the three-dimensional elasticity theory, and concluded that the natural frequencies of Subramani and Ramamoorthy 1595...
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...General kinematic strain–displacement relation equations for curved composite shell panel are represented in the following equations concerning with the global directions x, y, and z based on the literatures [3,4]....
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