Axisymmetric vibrations of laminated conical shells of variable thickness

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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The influence of the manufacturing constraints on the optimal design of laminated conical shells

Composite Structures ◽

10.1016/j.compstruct.2019.111820 ◽

2020 ◽

Vol 235 ◽

pp. 111820 ◽

Cited By ~ 1

Author(s):

Adam Stawiarski ◽

Małgorzata Chwał ◽

Marek Barski ◽

Aleksander Muc

Keyword(s):

Optimal Design ◽

Manufacturing Constraints ◽

Conical Shells ◽

Laminated Conical Shells

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Imperfection sensitivity of laminated conical shells

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2006.06.016 ◽

2007 ◽

Vol 44 (3-4) ◽

pp. 1221-1241 ◽

Cited By ~ 17

Author(s):

Yiska Goldfeld

Keyword(s):

Imperfection Sensitivity ◽

Conical Shells ◽

Laminated Conical Shells

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A Numerical Solution for Vibration Analysis of the Stiffened Variable-Thickness Conical Shells

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.757.121 ◽

2015 ◽

Vol 757 ◽

pp. 121-125

Author(s):

Wei Ning ◽

Feng Sheng Peng ◽

Nan Wang ◽

Dong Sheng Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Variable Thickness ◽

Conical Shell ◽

Thickness Distribution ◽

Ritz Method ◽

Free Vibrations ◽

Conical Shells ◽

Linear Eigenvalue Problem ◽

Element Method

The free vibrations of the stiffened hollow conical shells with different variable thickness distribution modes are investigated in detail in the context of Donnel-Mushtari conical shell theory. Two sets of boundary conditions have been considered. The algebraic energy equations of the conical shell and the stiffeners are established separately. The Rayleigh-Ritz method is used to equate maximum strain energy to maximum kinetic energy which leads to a standard linear eigenvalue problem. Numerical results are presented graphically for different geometric parameters. The parametric study reveals the characteristic behavior which is useful in selecting the shell thickness distribution modes and the stiffener type. The comparison between the present results and those of finite element method shows that the present results agree well with those of finite element method.

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