Free Vibration of Graphene Reinforced Composite Truncated Conical Shell

2019 ◽  
Vol 08 (02) ◽  
pp. 101-108
Author(s):  
一安 王
Keyword(s):  
Free Vibration ◽  
Conical Shell ◽  
Reinforced Composite ◽  
Truncated Conical Shell

scholarly journals Dynamic Stiffness Formulation for Free Vibration of Truncated Conical Shell and Its Combinations with Uniform Boundary Restraints

2021 ◽  
Vol 2021 ◽  
pp. 1-20
Author(s):  
Chunyu Zhang ◽  
Guoyong Jin ◽  
Zhihao Wang ◽  
Xuqin Qian ◽  
Linghua Tian
Keyword(s):  
Power Series ◽  
Free Vibration ◽  
Conical Shell ◽  
Dynamic Stiffness ◽  
Recursion Formula ◽  
Geometric Dimension ◽  
Mode Shapes ◽  
Elastic Boundary ◽  
Truncated Conical Shell ◽  
Boundary Lines

This paper presents a dynamic stiffness formulation for the free vibration analysis of truncated conical shell and its combinations with uniform boundary restraints. The displacement fields are expressed as power series, and the coefficients of the series are obtained as recursion formula by substituting the power series into the governing equations. Then, the general solutions can be replaced by an algebraic sum which contains eight base functions, which can diminish the number of degrees of freedom directly. The dynamic stiffness matrix is formulated based on the relationship between the force and displacement along the boundary lines. In the formulation, arbitrary elastic boundary restraints can be realized by introducing four sets of boundary springs along the displacement directions at the boundary lines. The modeling methodology can be easily extended to the combinations of conical shells with different thickness and semivertex angles. The convergence and accuracy of the present formulation are demonstrated by comparing with the finite element method using several numerical examples. Effects of the elastic boundary condition and geometric dimension on the free vibration characteristics are investigated, and several representative mode shapes are depicted for illustrative purposes.

scholarly journals Free vibration analysis of 2D-FGM truncated conical shell resting on Winkler–Pasternak foundations based on FSDT

2014 ◽  
Vol 229 (5) ◽  
pp. 818-839 ◽  
Author(s):  
A Asanjarani ◽  
S Satouri ◽  
A Alizadeh ◽  
MH Kargarnovin
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Functionally Graded Material ◽  
Conical Shell ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Geometrical Parameters ◽  
Two Dimensional ◽  
Graded Material ◽  
Truncated Conical Shell

Based on the first-order shear deformation theory, this paper focuses on the free vibration behavior of two-dimensional functionally graded material truncated conical shells resting on Winkler–Pasternak foundations. The materials are assumed to be isotropic and inhomogeneous in the length and thickness directions of truncated conical shell. The material properties of the truncated conical shell are varied in these directions according to power law functions. The derived governing equations are solved using differential quadrature method. Convergence of this method is checked and the fast rate of convergence is observed. The primary results of this study are obtained for ( SS− SL), ( CS− CL), and ( CS− SL) boundary conditions and compared with those available in the literatures. Furthermore, effects of geometrical parameters, material power indexes, mechanical boundary conditions, Winkler and Pasternak foundation moduli on the nondimensional frequency parameters of the two-dimensional functionally graded material truncated conical shell are studied.

Investigating nonlinear vibrations of multi-scale truncated conical shell segments with carbon nanotube/fiberglass reinforcement using a higher order conical shell theory

2020 ◽  
pp. 030932472093981 ◽  
Author(s):  
Seyed Sajad Mirjavadi ◽  
Masoud Forsat ◽  
Mohammad Reza Barati ◽  
AMS Hamouda
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanotube ◽  
Conical Shell ◽  
Jacobi Elliptic Function ◽  
Fiber Reinforced ◽  
Fiber Reinforced Composite ◽  
Multi Scale ◽  
Carbon Nanotube Fiber ◽  
Reinforced Composite ◽  
Truncated Conical Shell

This research deals with the nonlinear vibration analysis of functionally graded carbon nanotubes and fiber-reinforced composite truncated conical shell segments based upon third-order shear deformation theory. A detailed procedure for obtaining material properties of the multi-scale carbon nanotube/fiber-reinforced composite based on the three-dimensional Mori–Tanaka scheme has been provided. The truncated conical shell segments have been reinforced by distributed carbon nanotubes in the thickness direction according to uniform, linear, and nonlinear functions. The nonlinear equations have been solved via both Galerkin’s technique and Jacobi elliptic function method. Based on the numerical results, the effects of diverse carbon nanotube distribution, fiber volume, fiber orientation, and semi-vertex and open angles of the segment on vibrational frequencies of the truncated conical shell have been studied.

Vibrations of Arbitrarily Laminated Fiber Reinforced Composite Material Truncated Conical Shell

1995 ◽  
Vol 14 (9) ◽  
pp. 923-948 ◽  
Author(s):  
Kamal N. Khatri
Keyword(s):  
Composite Material ◽  
Conical Shell ◽  
Fiber Orientation ◽  
Fiber Reinforced ◽  
Governing Equations ◽  
Conical Shells ◽  
Fiber Reinforced Composite ◽  
Reinforced Composite ◽  
Truncated Conical Shell ◽  
Reinforced Composite Material

Governing equations of motion are presented for arbitrarily laminated fiber reinforced composite material truncated conical shell in which each layer is permitted an arbitrary fixed fiber orientation. Each layer has been considered to be of a specially orthotropic material with its directional elastic properties depending on the fiber orientation. Extension, bending, in-plane shear and transverse shear in all the layers have been considered and inertia effects due to transverse, meridional and rotary motions are taken into account. Convenient trigonometric series are used as solution functions in Galerkin's method to reduce the governing equations to sets of matrix equations. The correspondence principle of linear viscoelasticity has been used for evaluating the damping effectiveness of the shell. Computer programs have been developed for axisymmetric and antisymmetric vibrations of multi-layered conical shells with simply supported edges. The influence of apex angle upon the resonance frequencies and the associated system loss factors of laminated FRP conical shells is investigated.

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

2016 ◽  
Vol 103 ◽  
pp. 45-61 ◽  
Author(s):  
Najmeh Jooybar ◽  
Parviz Malekzadeh ◽  
Alireza Fiouz ◽  
Mohammad Vaghefi
Keyword(s):  
Free Vibration ◽  
Thermal Effect ◽  
Conical Shell ◽  
Functionally Graded ◽  
Truncated Conical Shell

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

2021 ◽  
pp. 146442072199941
Author(s):  
Tripuresh Deb Singha ◽  
Tanmoy Bandyopadhyay ◽  
Amit Karmakar
Keyword(s):  
Carbon Nanotube ◽  
Free Vibration ◽  
Shear Deformation ◽  
Conical Shell ◽  
Deformation Theory ◽  
Natural Frequencies ◽  
Shear Deformation Theory ◽  
Higher Order ◽  
Functionally Graded ◽  
Reinforced Composite

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.

Free Vibration Behavior of Carbon Nanotube Reinforced Composite Conical Shell Panel Under Thermal Environment

2018 ◽  
Vol 24 (8) ◽  
pp. 5915-5918
Author(s):  
S. Yogesh Krishnan ◽  
A. K Caitanya ◽  
P Tripathy ◽  
V. R Kar
Keyword(s):  
Finite Element ◽  
Carbon Nanotube ◽  
Free Vibration ◽  
Material Properties ◽  
Conical Shell ◽  
Volume Fraction ◽  
Thickness Ratio ◽  
Frequency Responses ◽  
Reinforced Composite ◽  
Shell Panel

The free vibration of carbon nanotube reinforced composite conical shell panel is examined under temperature field. In this analysis, single-walled carbon nanotube and poly(m-phenylenevinylene-co-2,5-dioctoxy-pphenylenevinylene) are used as fibre and matrix materials, respectively. The material properties are considered as temperature-dependent. The effective material properties of carbon nanotube reinforced composite panel are evaluated through the extended rule-of-mixture. The finite element model is prepared using commercially available finite element tool ANSYS APDL. An eight node Serendipity shell element (SHELL281) is used to discretize the present conical model. The displacement field is framed in the first-order shear deformation theory with six degrees of freedom. The Block Lanczos eigenvalue extraction method is used to obtain the frequency responses. In order to obtain the appropriate mesh density for the said model, the convergence study is executed for various mesh sizes. The present results are compared and validated with the previously reported results. Finally, the influences of different parameters such as length-to-thickness ratio, volume fraction and temperature on the frequency responses of the carbon nanotube reinforced composite conical shell panel are demonstrated through numerical illustrations. The results reveal that the frequency parameters of conical shell panel enhance with the volume fraction and the length-to-thickness ratio, whereas reduce with the temperature value.

scholarly journals Free vibration of a spinning truncated conical shell.

1988 ◽  
Vol 54 (497) ◽  
pp. 22-30
Author(s):  
Gen YAMADA ◽  
Yukinori KOBAYASHI ◽  
Tetsuo OTAGIRI ◽  
Toshihiro Irie
Keyword(s):  
Free Vibration ◽  
Conical Shell ◽  
Truncated Conical Shell
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