The analysis of rotational shells using a curved ring element and the mixed variational formulation

Barony, Saleh Y.; Tottenham, H.

doi:10.1002/nme.1620100413

Cited by 13 publications

(1 citation statement)

References 9 publications

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“…These surfaces are rather technological and allow simplifying construction process due to ability of their middle surface to wrap on the surfaces without folds and gaps [14].…”

Section: Main Features Of Carved Monge Surfacementioning

confidence: 99%

Carved Monge Surfaces as New Forms in the Architecture

Filipova

Rynkovskaya

2017

MATEC Web Conf.

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Abstract. On the example of today's existing buildings and cities the tendency of using thin construction in modern world can be clearly noticed. To create new ideas and images engineers have to study new geometrical forms and its calculation methods. The article deals with carved Monge surface. The possibilities of its usage in the architecture, its geometry and form making are well examined in the article, and are the basic problems considered in the article. As well as the basic calculations of Monge surface were made in this article using moment less theory and finite element method, and we can clearly see the advantages of using this shell. The main aim of this article is to show the relevance of carved Monge surface.

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“…These surfaces are rather technological and allow simplifying construction process due to ability of their middle surface to wrap on the surfaces without folds and gaps [14].…”

Section: Main Features Of Carved Monge Surfacementioning

confidence: 99%

Carved Monge Surfaces as New Forms in the Architecture

Filipova

Rynkovskaya

2017

MATEC Web Conf.

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Mixed finite element formulation for geometrically non‐linear analysis of shells of revolution

Tottenham¹,

Barony

1978

Numerical Meth Engineering

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A Finite Element formulation for the axisymmetrical analysis of rotational shells with geometric non-linearity is developed, using a mixed finite element model of a curved rotational shell type, the two global components of displacement (u,, u,) and the two stress couples (M,,M,) being the free and independent unknowns of the problem. The prescribed geometry at every nodal circle comprises the co-ordinates and meridional slope angle and curvature. Newton-Raphson Iteration is used in solving the non-linear system of equations. Circular plates and a spherical cap are used as examples to test the formulation; good results were achieved which are presented graphically in comparison to the analytical solution.* Research Student.

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Discrete and non‐discrete mixed methods for plate bending analysis

Fujii

1981

Numerical Meth Engineering

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SUMMARYFor plate bending analysis, both discrete and non-discrete mixed methods are presented by using spline functions in the Hellinger-Reissner variational principle. Piecewise spline interpolation with local supports and overall spline interpolation with boundary knots are applied to each of two mixed functionals. The prescribed boundary conditions can be considered by multiple boundary knots. The convergence behaviour of the mixed methods presented is studied. Numerical examples show that a high degree of accuracy can be obtained due to continuous properties in the high derivatives of the employed shape functions. The proposed mixed methods are found to be very competitive with other numerical methods for plate bending problems.

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The analysis of rotational shells using a curved ring element and the mixed variational formulation

Cited by 13 publications

References 9 publications

Carved Monge Surfaces as New Forms in the Architecture

Carved Monge Surfaces as New Forms in the Architecture

Mixed finite element formulation for geometrically non‐linear analysis of shells of revolution

Discrete and non‐discrete mixed methods for plate bending analysis

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