The linear elastic stress analysis of curved pipes under generalized loads using a reduced integration finite ring element

a b s t r a c tAn alternative formulation to current meshes dealing with finite shell elements is presented to solve the problem of stress analysis of curved pipes subjected to in-plane bending forces. The solution is based on finite curved elements, where displacements are defined from a total set of trigonometric functions or a fifth-order polynomial, combined with Fourier series. Global shell displacements are achieved through the one associated with curved arch bending and the other referred to the toroidal thin-walled shell distortion. Beam-type displacement and in-plane rotation are uncoupled and separately formulated, using trigonometric shape functions, as in Timoshenko or Mindlin beam theory. To build up the solution, a simple deformation model was adopted, based on the semi-membrane concept of the doubly curved shells behaviour. Several studies are presented and compared with experimental and numerical analyses reported by other authors.

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“…The strain field is given by the following equations, also used by Melo and Castro [8,9], Flügge [17] and Kitching [18]: …”

Section: Assumptionsmentioning

confidence: 99%

“…Some relevant contributions in this area have been published recently by Melo and Castro [8,9] using short and straight elements as an approach to curved pipes with simple first-degree polynomials. Orynyak [10] used specific analytical methods developed to perform elastic end effects for pipe bends.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of curved pipes submitted to in-plane loading conditions

Fonseca

Melo

2010

Thin-Walled Structures

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“…Those parameters are related via simple differential equations from beam bending theory, following simple hypotheses considered by Melo and Castro [7,8] and Thomson [5] 4 Z dW ds (7)…”

Section: The Displacement Field For a New Two-node Pipe Elementmentioning

confidence: 99%

“…The strain field is given by the following equations also used by Melo and Castro [7,8], Flügge [9] and Kitching [10] …”

Section: The Displacement Field For a New Two-node Pipe Elementmentioning

confidence: 99%

The thermal and mechanical behaviour of structural steel piping systems

Fonseca

Melo

Oliveira

2005

International Journal of Pressure Vessels and Piping

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The temperature, the deformation and the stress field in thermo-mechanical problems play a very important role in engineering applications. This paper presents a finite element algorithm developed to perform the thermal and mechanical analysis of structural steel piping systems subjected to elevated temperatures. The new pipe element with 22 degrees of freedom has a displacement field that results from the superposition of a beam displacement, with the displacement field associated with the section distortion. Having determined the temperature field, the consequent thermal displacement produced in the piping systems due to the thermal variation can be calculated. The temperature rise produces thermal expansion and a consequent increase of pipe length in the structural elements. For small values of the ratio of the pipe thickness to mean radius, the thermal behaviour can be calculated with adequate precision using a one-dimensional mesh approach, with thermal boundary conditions of an axisymmetric type across the pipe section. With this condition, several case studies of piping systems subjected to elevated temperatures and mechanical loads are presented and compared with corresponding results from commercial finite element codes. The main advantage of this formulation is associated with reduced time for mesh generation with a low number of elements and nodes. Considerable computational effort may be saved with the use of this finite pipe element. q

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“…Static, dynamic, vibration, and buckling characteristics of toroidal shells have been studied [1][2][3][4][5]. Stress and free-vibration analyses of pipe-type toroidal shells have also been investigated recently [6][7][8].…”

Section: Introductionmentioning

confidence: 99%