Free vibration analysis of truncated circular conical shells with variable thickness using the Haar wavelet method

Dai, Qiyi; Cao, Qingjie; Chen, Yushu

doi:10.21595/jve.2016.16976

Cited by 10 publications

(4 citation statements)

References 24 publications

(43 reference statements)

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“…6 for the first meridional number (m=1). The corresponding results reported by Dai et al [36] are presented in this figure which corroborates the precision of the presented work. The discrepancy between the results can be elucidated by the difference between hired shell theories which is Love's shell theory in Ref.…”

Section: ( )( )supporting

confidence: 92%

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Dynamics of a three-phase polymer/fiber/CNT laminated nanocomposite conical shell with nonuniform thickness

Darakhsh,

Rahmani,

Amirabadi

et al. 2023

J Braz. Soc. Mech. Sci. Eng.

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In the presented paper, the free vibration of a polymer/fiber/CNT laminated nanocomposite conical shell with nonuniform thickness and surrounded by an elastic two-parameter foundation are analyzed. The shell is made of a polymeric matrix enriched simultaneously with randomly oriented carbon nanotubes (CNTs) and aligned glass fibers. CNTs agglomeration is included and the density and elastic constants of such a three-phase nanocomposite are calculated using the rule of mixture and the Eshelby-Mori-Tanaka approach alongside Hanh's homogenization method. The conical shell and the elastic foundation are modeled using the first-order shear deformation theory (FSDT) and the Pasternak foundation model, consecutively. The governing equations are derived using Hamilton's principle and are solved numerically via the differential quadrature method (DQM). The impacts of several parameters on the natural frequencies of such a structure are discussed such as thickness variation parameters, mass fraction and chirality of the CNTs, mass fraction of the fibers, and boundary conditions. It is observed that by considering the specific value for the average thickness of the shell, the thickness variation parameters associated with the highest natural frequency are different in various vibrational modes. It is discovered that, the natural frequencies grow by increasing mass fraction of the CNTs, but the influences of mass fraction of the fibers on the natural frequencies are strongly dependent on the vibration mode.

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Section: ( )( )supporting

confidence: 92%

“…The discrepancy between the results can be elucidated by the difference between hired shell theories which is Love's shell theory in Ref. [36] and the FSDT in the present work.…”

Section: ( )( )contrasting

confidence: 57%

Dynamics of a three-phase polymer/fiber/CNT laminated nanocomposite conical shell with nonuniform thickness

Darakhsh,

Rahmani,

Amirabadi

et al. 2023

J Braz. Soc. Mech. Sci. Eng.

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“…shows the comparison of this present study with Irie et al[34], Liew et al[35] and Dai et al[36]. It is evident from the results that the present results are very close to the already existing literature.…”

supporting

confidence: 91%

Conical-Shaped Shells of Non-Uniform Thickness Vibration Analysis Using Higher-Order Shear Deformation Theory

Javed

2024

Symmetry

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The aim of this research is to investigate the frequency of conical-shaped shells, consisting of different materials, based on higher-order shear deformation theory (HSDT). The shells are of non-uniform thickness, consisting of two to six symmetric cross-ply layers. Simply supported boundary conditions were used to analyse the frequency of conical-shaped shells. The differential equations, consisting of displacement and rotational functions, were approximated using spline approximation. A generalised eigenvalue problem was obtained and solved numerically for an eigenfrequency parameter and associated eigenvector of spline coefficients. The frequency of shells was analysed by varying the geometric parameters such as length of shell, cone angle, node number in circumference direction and number of layers, as well as three thickness variations such as linear, sinusoidal and exponential. It was also evident that by varying geometrical parameters, the mechanical parameters such as stress, moment and shear resultants were affected. Research results concluded that for three different thickness variations, as the number of layers of conical shells increases, the frequency values decrease. Moreover, by varying length ratios and cone angles, shells with variable thickness had lower frequency values compared to shells of constant thickness. The numerical results obtained were verified through the already existing literature. It is evident that the present results are very close to the already existing literature.

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“…Complex shells of variable thickness were examined by Kang [1]. Moreover, conical shells of variable thickness were investigated using the Haar wavelet method by Cao et al [2]. Akbari et al [3] studied the conical panels consisting of functionally graded materials using the generalized differential quadrature method.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Composite Conical Shells with Variable Thickness

Javed

Mukahal

Salama

2020

Shock and Vibration

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Free vibration of conical shells of variable thickness is analysed under shear deformation theory with simply supported and clamped free boundary conditions by applying collocation with spline approximation. Sinusoidal thickness variation of layers is assumed in axial direction. Displacements and rotational functions are approximated by Bickley-type splines of order three and a generalized eigenvalue problem is obtained. This problem is solved numerically for an eigenfrequency parameter and an associated eigenvector of spline coefficients. The vibration of composite conical shells consisting of three layers and five layers where each layer is made up of different materials is analysed. Parametric studies are made for analysing the frequencies of the shell with respect to the coefficients of thickness variations, length ratio, cone angle, circumferential node number, and different ply angles with different combinations of the materials. The results are presented in terms of tables and graphs.

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Free vibration analysis of truncated circular conical shells with variable thickness using the Haar wavelet method

Cited by 10 publications

References 24 publications

Dynamics of a three-phase polymer/fiber/CNT laminated nanocomposite conical shell with nonuniform thickness

Dynamics of a three-phase polymer/fiber/CNT laminated nanocomposite conical shell with nonuniform thickness

Conical-Shaped Shells of Non-Uniform Thickness Vibration Analysis Using Higher-Order Shear Deformation Theory

Free Vibration Analysis of Composite Conical Shells with Variable Thickness

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