A refined asymptotic theory of laminated circular conical shells

Wu, Chuanxi; Hung, Yao-Min; Lo, Jyh-Yeuan

doi:10.1016/s0997-7538(01)01199-8

Cited by 14 publications

(5 citation statements)

References 28 publications

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“…For these shells, a straight line revolves about an axis to generate the surface. Wu et al [182] discussed a refined asymptotic theory of laminated circular conical shells. Das and Chakravorty [183] suggested selection guidelines of point-supported composite conoidal shell roofs based on a finite element analysis.…”

Section: Shell Geometriesmentioning

confidence: 99%

Review of Recent Literature on Static Analyses of Composite Shells: 2000-2010

Qatu¹,

Asadi²,

Wang³

2012

OJCM

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Laminated composite shells are frequently used in various engineering applications including aerospace, mechanical, marine, and automotive engineering. This article reviews the recent literature on the static analysis of composite shells. It follows up with the previous work published by the first author [1-4] and it is a continuation of another recent article that focused on the dynamics of composite shells [3]. This paper reviews most of the research done in recent years (2000-2010) on the static and buckling behavior (including postbuckling) of composite shells. This review is conducted with an emphasis on the analysis performed (static, buckling, postbuckling, and others), complicating effects in both material (e.g. piezoelectric) and structure (e.g. stiffened shells), and the various shell geometries (cylindrical, conical, spherical and others). Attention is also given to the theory being applied (thin, thick, 3D, nonlinear …). However, more details regarding the theories have been described in previous work [1,3]

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Section: Shell Geometriesmentioning

confidence: 99%

Review of Recent Literature on Static Analyses of Composite Shells: 2000-2010

Qatu¹,

Asadi²,

Wang³

2012

OJCM

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“…In most research works published in the literature, it is assumed that the fibers are laid out in the meridional and circumferential directions. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] Figure 1 shows that for such a conical panel in the meridional fiberreinforced layers the distance between the fibers changes along the meridional coordinate. Therefore, for this type of lamina the material characteristics of macrostructure and hence the stiffness coefficients of lamina cannot be kept constant.…”

Section: Introductionmentioning

confidence: 99%

“…There are some other publications on circular conical shell. [10][11][12][13][14][15][16][17][18] It should be noted that in the mentioned papers variation in stiffness in the meridional direction was not considered. Therefore, the previous investigations that assumed constant stiffness for fiber-reinforced conical panels in the meridional directions are not applicable for all types of fiber-reinforced conical panels and may cover just some special cases.…”

Section: Introductionmentioning

confidence: 99%

An investigation into the static response of fiber-reinforced open conical shell panels considering various types of orthotropy

Maleki

Tahani

2013

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this study, bending of composite open conical shell panels subjected to various distributed mechanical loads with various types of orthotropy is investigated. The stiffness coefficients are assumed to be functions of the meridional and circumferential coordinates in panels, which are produced by various methods for the realistic applications. In the first case of orthotropic open conical shell panels, the orientation of fibers are assumed to be in the meridional and circumferential directions. The stiffness coefficients of this type of fiber-reinforced panel are usually assumed to be constant. It is shown that due to the geometry of the conical surface, thickness of laminate will be changed along the meridional direction. The effect of stiffness variation on the response of panel is considered for the first time. In the case of open conical shell panel, which is fabricated by molding the prepreg layers around a conical-shaped mandrel, angle between fibers and meridional lines and, consequently, stiffness coefficients are assumed to be functions of the circumferential coordinates. In the third type, open conical shell panel can be made by cutting from a filament wound circular conical shell. In this case, thickness and ply orientation are functions of the shell coordinates. In this article, different path definitions for variable stiffness filament wound shells are considered. The inclusion of this geometric complicating effect in static analysis will add considerably to the complication and cost of a solution scheme. This article presents some results to show when these assumptions have a significant effect on the end result. The governing equations are based on the first-order shear deformation theory. The governing equations are discretized at whole domain grid points, and the boundary conditions are implemented exactly at boundary grid points using the generalized differential quadrature method. Application of the generalized differential quadrature to the governing equations, solution domain and boundary conditions leads to a system of algebraic equations. Various combinations of clamped, simply supported and free boundary conditions are implemented. It is found that the present method can accurately analyze fiber-reinforced open conical shell panels with various types of orthotropy.

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“…Liew et al (2000Liew et al ( , 2002 studied the 3D vibration of cylindrical and spherical shell panels with full simple supports and other boundary conditions using continuous and discrete approaches. Wu and Hung (1999), Wu et al (2002) and Wu and Tsai (2004) combined the asymptotic expansion method with the DQM to study the static behaviors of laminated composite conical shells and FG annular spherical ones, and the asymptotic expansion method was also combined with the finite strip approach to undertake the bending analysis of doubly curved, laminated composite shells by Wu et al (2001). Tajeddini and Ohadi (2011) presented the 3D vibration analysis of FG thick, annular plates with variable thickness using the polynomial-Ritz method.…”

Section: Introductionmentioning

confidence: 99%

Reissner’s mixed variational theorem-based finite cylindrical layer methods for the three-dimensional free vibration analysis of sandwich circular hollow cylinders with an embedded functionally graded material layer

Fan

2013

Journal of Vibration and Control

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Based on Reissner’s mixed variational theorem (RMVT), finite cylindrical layer methods (FCLMs) were developed for the three-dimensional (3D) free vibration analysis of simply supported, functionally graded material (FGM) sandwich circular hollow cylinders. The FGM sandwich cylinder consists of a thick and soft FGM core bounded with two thin and stiff homogeneous material face sheets, in which the material properties of the FGM core are assumed to obey an exponent-law varying exponentially with the thickness coordinate. In this formulation, the FGM sandwich cylinder is divided into a number of equal-thickness cylindrical layers, where the trigonometric functions and Lagrange polynomials are used to interpolate the in- and out-of-surface variations of the field variables of each individual layer, respectively. An h-refinement process instead of a p-refinement one is adopted to yield the convergent solutions in this study, and the layerwise linear, quadratic or cubic function distribution through the thickness coordinate is thus assumed for the related field variables. The accuracy and convergence of the RMVT-based FCLMs developed in this article are assessed by comparing their solutions with the exact 3D solutions available in the literature.

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A refined asymptotic theory of laminated circular conical shells

Cited by 14 publications

References 28 publications

Review of Recent Literature on Static Analyses of Composite Shells: 2000-2010

Review of Recent Literature on Static Analyses of Composite Shells: 2000-2010

An investigation into the static response of fiber-reinforced open conical shell panels considering various types of orthotropy

Reissner’s mixed variational theorem-based finite cylindrical layer methods for the three-dimensional free vibration analysis of sandwich circular hollow cylinders with an embedded functionally graded material layer

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