Hierarchical three dimensional curved beam element based on p-version

1991 ◽  
Vol 7 (4) ◽  
pp. 289-298 ◽  
Author(s):  
K. S. Surana ◽  
S. H. Nguyen
Keyword(s):  
Three Dimensional ◽  
Beam Element ◽  
Curved Beam ◽  
Curved Beam Element

ANALYSIS OF THREE-DIMENSIONAL LOCKING-FREE CURVED BEAM ELEMENT

2004 ◽  
Vol 05 (03) ◽  
pp. 535-556 ◽  
Author(s):  
Z. H. ZHU ◽  
S. A. MEGUID
Keyword(s):  
Three Dimensional ◽  
Beam Element ◽  
Curved Beam ◽  
Curved Beam Element

A Three-Dimensional Curved Beam Element for Helical Components Modeling

2011 ◽  
Author(s):  
Rodrigo Provasi ◽  
Clo´vis de Arruda Martins
Keyword(s):  
Finite Element ◽  
Three Dimensional ◽  
Beam Element ◽  
Analytical Models ◽  
Cylindrical Layer ◽  
Curved Beam ◽  
Macro Elements ◽  
Curved Beam Element ◽  
Flexible Pipes ◽  
Custom Made

The offshore industry is in constant evolution due to the need of reaching new oil fields in increasingly water depths. In this scenario, not only new types of platforms are being designed, but also new types of flexible pipes and new umbilical cable configurations. The greatest difficulty to generate a new concept for a riser is to determine if it is viable or not. Flexible pipes and umbilical cables are complicated to model, due to the interactions between their layers and the large number of possible arrangements. To predict their behavior, adequate models are necessary. One can rely on finite element models, which show a great difficulty in mesh generation and convergence (especially due to the contact pairs). One can also rely on analytical models, which have many limitations due to simplifications (even though necessary ones). Another possible approach is to define macro elements, which represent a component, instead of classical finite elements (such as tetrahedral elements). Related to that approach, a numeric method using macro-elements is proposed. It consists in creating elements which has the desired characteristics of the problem in its formulation, leading to robust custom-made elements and to coarse meshes (since the complexity of the problem is within the element). Some elements are proposed in this model: a concentric one for cylindrical layer modeling; a three-dimensional curved beam for helices; a bridge element for node connection; and a contact element, for gap and friction treatment. The first two of them are already concluded and the later ones are being designed. This paper presents the three-dimensional curved beam element, which takes into account the effects of curvature and tortuosity. This is accomplished by using a strong coupling between displacements and assuming that the twist and shear strains varies linearly within the element. Using such hypothesis, the shear lock phenomenon is also avoided. This formulation is implemented and their results compared to those obtained by a classical finite element modeling tool, with good agreement.

Three-dimensional curved beam element based on p-Version for dynamics

1991 ◽  
Vol 41 (5) ◽  
pp. 887-895 ◽  
Author(s):  
K.S. Surana ◽  
S.H. Nguyen
Keyword(s):  
Three Dimensional ◽  
Beam Element ◽  
Curved Beam ◽  
Curved Beam Element

A Three-Dimensional Curved Beam Element for Helical Components Modeling

2014 ◽  
Vol 136 (4) ◽  
Author(s):  
Rodrigo Provasi ◽  
Clóvis de Arruda Martins
Keyword(s):  
Finite Element ◽  
Three Dimensional ◽  
Beam Element ◽  
Structural Behavior ◽  
Curved Beam ◽  
Large Set ◽  
Flexible Pipe ◽  
Curved Beam Element ◽  
Macro Element ◽  
Umbilical Cable

The structural behavior of flexible pipes and umbilical cables is difficult to model due to their complex construction that includes components of different materials, shapes, and functions. Also, it is difficult to model due to the nonlinear interaction between those components, which includes contacts, gaps, and friction. To model a flexible pipe or umbilical cable, one can rely on analytical or numerical approaches. Analytical models need a large set of simplifying hypotheses. Numerical models, like classical finite elements models, require large meshes and have great difficulties to converge. But one can take profit of the particular characteristics of a specific component and develop a custom-made finite element that represents its structural behavior, a so-called finite macro-element. Adopting this approach, in a previous work, it was developed a cylindrical macro-element with orthotropic behavior, to model the plastic layers of a flexible pipe or umbilical cable. This paper presents a three-dimensional (3D) curved beam element, built to model a helical metallic component, which takes into account the effects of curvature and tortuosity of that kind of component. This is accomplished by using a strong coupling between displacements and assuming that the twist and shear strains vary linearly within the element, to avoid the shear lock phenomenon. The complete formulation of this element is presented. Results obtained with this formulation are also presented and compared to those obtained by a classical finite element modeling tool, with good agreement.

3D-curved beam element with varying cross-sectional area under generalized loads

2008 ◽  
Vol 30 (2) ◽  
pp. 404-411 ◽  
Author(s):  
F.N. Gimena ◽  
P. Gonzaga ◽  
L. Gimena
Keyword(s):  
Beam Element ◽  
Cross Sectional Area ◽  
Curved Beam ◽  
Sectional Area ◽  
Cross Sectional ◽  
Curved Beam Element

The curved beam element and its convergence rate

1989 ◽  
Vol 10 (6) ◽  
pp. 507-519 ◽  
Author(s):  
Lü He-xiang ◽  
Tang Li-min ◽  
Liu Xiu-lan
Keyword(s):  
Convergence Rate ◽  
Beam Element ◽  
Curved Beam ◽  
Curved Beam Element

An isoparametric quadratic thick curved beam element

1986 ◽  
Vol 23 (9) ◽  
pp. 1583-1600 ◽  
Author(s):  
G. Prathap ◽  
C. Ramesh Babu
Keyword(s):  
Beam Element ◽  
Curved Beam ◽  
Curved Beam Element

Variationally correct assumed strain field for the simple curved beam element

1993 ◽  
Vol 47 (6) ◽  
pp. 1071-1073 ◽  
Author(s):  
G. Prathap ◽  
B.R. Shashirekha
Keyword(s):  
Strain Field ◽  
Beam Element ◽  
Curved Beam ◽  
Curved Beam Element ◽  
Assumed Strain

A new hybrid-mixed composite laminated curved beam element

2005 ◽  
Vol 19 (3) ◽  
pp. 811-819 ◽  
Author(s):  
Ho-Cheol Lee ◽  
Jin-Gon Kim
Keyword(s):  
Beam Element ◽  
Curved Beam ◽  
Curved Beam Element

scholarly journals A multiscale force-based curved beam element for masonry arches

2018 ◽  
Vol 208 ◽  
pp. 17-31 ◽  
Author(s):  
Paolo Di Re ◽  
Daniela Addessi ◽  
Elio Sacco
Keyword(s):  
Beam Element ◽  
Curved Beam ◽  
Masonry Arches ◽  
Curved Beam Element
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