A curved, cylindrical-shell, finite element.

Cantin, Gilles; Clough, Ray W.

doi:10.2514/3.4673

Cited by 150 publications

(33 citation statements)

References 2 publications

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“…There has been an extensive development of curved shell elements for axisymmetric and arbitrary shells [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. The various approaches can best be described by discussing representative examples; the remaining elements are variations on these basic types.…”

Section: General Shell Finite Elementsmentioning

confidence: 99%

Incremental Analysis of Nonlinear Structural Mechanics Problems with Applications to General Shell Structures

Jones¹

1973

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Section: General Shell Finite Elementsmentioning

confidence: 99%

Incremental Analysis of Nonlinear Structural Mechanics Problems with Applications to General Shell Structures

Jones¹

1973

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“…In subsequent decades many studies of the vibration of OCCSs have been carried out. Early research mainly used numerical approaches such as the Rayleigh-Ritz method (Sewall, 1967;Leissa and Narita, 1984), the finite element method (FEM) (Cantin and Clough, 1968;Lakis and Selmane, 2000), and the finite strip method (Cheung et al, 1989). Exact solutions for determining the natural frequencies of OCCSs were presented in (Suzuki and Leissa, 1986;Lim and Liew, 1995;Yu et al, 1995;Price et al, 1998;Ye et al, 2014a).…”

Section: Introductionmentioning

confidence: 99%

Exact free vibration analysis of open circular cylindrical shells by the method of reverberation-ray matrix

Yao

Tang

Pang

et al. 2016

J. Zhejiang Univ. Sci. A

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Abstract:This paper is concerned with the free vibration analysis of open circular cylindrical shells with either the two straight edges or the two curved edges simply supported and the remaining two edges supported by arbitrary classical boundary conditions. Based on the Donnell-Mushtari-Vlasov thin shell theory, an analytical solution of the traveling wave form along the simply supported edges and the modal wave form along the remaining two edges is obtained. With such a unidirectional traveling wave form solution, the method of the reverberation-ray matrix is introduced to derive the equation of natural frequencies of the shell with different classical boundary conditions. The exact solutions for natural frequencies of the open circular cylindrical shell are obtained with the employment of a golden section search algorithm. The calculation results are compared with those obtained by the finite element method and the methods in the available literature. The influence of length, thickness, radius, included angle, and the boundary conditions of the open circular cylindrical shell on the natural frequencies is investigated. The exact calculation results can be used as benchmark values for researchers to check their numerical methods and for engineers to design structures with thin shell components.

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“…Later, Jones and Strome [2] modified the method and used meridional elements which were found to lead to considerably improved results for the stresses. Curved rectangular and cylindrical shell elements were also developed (Connor and Brebbia [3], Cantin and Clough [4], and Sabir and lock [5]). However, to model a shell of spherical shape using the finite element method, triangular and rectangular spherical shell elements are needed.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis of Polygon Shaped Shell Roof

Mousa¹,

Naggar²

2017

JCEA

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Abstract:A new spherical triangular finite element based on shallow shell formulation is developed in this paper. The element has six degrees of freedom at each corner node, five of which are the essential external degrees of freedom and the additional sixth is associated with the in-plane shell rotation. The displacement fields of the element satisfy the exact requirement of rigid body modes of motion. The element is based on independent strain assumption insofar as it is allowed by the compatibility equations. The element developed herein is first validated by applying it to the analysis of a benchmark problem involving a standard spherical shell with simply supported edges. The results of the analysis showed that reasonably accurate results were obtained even when modeling the shells using fewer elements compared to other shell element types. The element is then used in a finite element model to analyze polygon shaped spherical roof structures. The distribution of the various components of deflection and stress is obtained. Furthermore, the effect of introducing circular arched beams as stiffeners spanning the two diagonally opposite end corners is investigated. It is found that the stiffeners reduced the deflections and the stresses in the roof structure by considerable value.

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A curved, cylindrical-shell, finite element.

Cited by 150 publications

References 2 publications

Incremental Analysis of Nonlinear Structural Mechanics Problems with Applications to General Shell Structures

Incremental Analysis of Nonlinear Structural Mechanics Problems with Applications to General Shell Structures

Exact free vibration analysis of open circular cylindrical shells by the method of reverberation-ray matrix

Finite Element Analysis of Polygon Shaped Shell Roof

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