Kinematically exact curved and twisted strain-based beam

Češarek, Peter; Saje, Miran; Zupan, Dejan

doi:10.1016/j.ijsolstr.2012.03.033

Cited by 35 publications

(11 citation statements)

References 43 publications

(58 reference statements)

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“…Now we turn our attention to nonlinear deformation of the bend using the following data [19][20][21][22][23][24][25][26]: R = 100, a = 1,  = 45, E = 10 7 , and  = 0. The values of tip displacements of the bend obtained by different finite-element models are summarized in Table 6.…”

Section: Tablementioning

confidence: 99%

Formulation of a geometrically nonlinear 3D beam finite element based on kinematic-group approach

Levyakov

2015

Applied Mathematical Modelling

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Please cite this article as: S.V. Levyakov, Formulation of a geometrically nonlinear 3D beam finite element based on kinematic-group approach, Appl. Math. Modelling (2015), doi: http://dx. AbstractA relatively simple finite element with 12 degrees of freedom is proposed for geometrically nonlinear analysis of spatial shear deformable beams and rods. The finite-element formulation is based on the concept of kinematic group, which is a geometrical object comprising two nodes on the rod axis and two adjoined vectors (directors) which define orientation of the cross section at each node. Results of some sample problems are given to show the applicability of the element to study nonlinear deformation and stability of three-dimensional elastic rods undergoing finite rotations.

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Section: Tablementioning

confidence: 99%

Formulation of a geometrically nonlinear 3D beam finite element based on kinematic-group approach

Levyakov

2015

Applied Mathematical Modelling

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“…This latter problem has been considered by various authors using finite element-based methods. It is worthy of note that Ibrahimbegović [17] has used "100 elements", Zupan et al [48] have used "25 elements with 7 internal nodes" andČešarek et al [9] have used "200 elements" in order to capture the deformed helical shape. In comparison, the current approach by employing continuous functions of polynomial type with the highest degree of only "8" could capture the inclined helical deformed shape effectively.…”

Section: Cantilever Beam Bent To An Inclined Helical Formmentioning

confidence: 99%

“…Petrov and Geradin [32], Gruttmann et al [13], Jelenić and Saje [19], Betsch and Steinmann [6], Kapania and Li [21], Wackerfuβ and Gruttmann [45,46], Pai [29],Češarek et al [9] and many others.…”

mentioning

confidence: 99%

Large deflection analysis of geometrically exact spatial beams under conservative and nonconservative loads using intrinsic equations

Masjedi

Ovesy

2014

Acta Mech

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Large deflection analysis of geometrically exact beams under conservative and nonconservative loads is considered. A Chebyshev collocation method is used for the discretization of the governing equations of the spatial beam with intrinsic formulation. In the case of nonconservative (follower) loads, since the formulation is expressed in a deformed frame, the formulation is fully free from any displacement or rotational variables, and a direct solution can be achieved. In the case of conservative loads, the applied loads are functions of beam rotations, and in order to retain the intrinsic nature of the formulation, a direct integration of rotations is avoided and an iterative solution of the governing equations in addition to an update on the beam rotations as a post-processing step has been employed. A number of test cases have been considered and are compared to the existing experimental as well as numerical results in the literature. A very good agreement has been observed in the comparison cases, and it is shown that the intrinsic formulation in conjunction with a Chebyshev collocation method while exhibiting advantages in ease of implementation, computational cost and convergence characteristics over other methods can effectively capture the large deflection behavior of spatial beams under various load conditions.

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“…In this section we go through the steps of using the Semantic Engine when designing an application for analysis of structures under static loading. The stand-alone application is called NoDeK and has been developed previously at the Department of Mechanics of the Faculty of Civil Engineering, University of Ljubljana [12]. When developing a Cloud application based on the existing NoDeK application, our main goal is to address two requirements.…”

Section: Using the Semantic Enginementioning

confidence: 99%

“…This is a common approach when making mathematical models of structures in civil engineering, mechanisms, aeronautics and spatial industry. The novelty of the NoDeK application [12] is that geometrically exact spatial beam with constant strains is used to formulate the Finite Elements. The advantage of this new formulation is that all equations can be analytically integrated.…”

Section: Description Of the Nodek Applicationmentioning

confidence: 99%

Using the mOSAIC's semantic engine to design and develop civil engineering cloud applications

Cretella

Martino

Stankovski

2012

Proceedings of the 14th International Conference on Information Integration and Web-Based Applications &Amp; Services

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The development of applications for the Cloud requires programming skills and knowledge about the several programming models, APIs and underlying infrastructures, which are provided by Cloud vendors. The European Project mO-SAIC aims at developing an API, Platform and a set of tools to facilitate language and platform agnostic application development and deployment on a variety of Infrastructures as a Service offers. Within the mOSAIC project, appropriate ontologies, a knowledge base and an associated Semantic Engine [10] have been developed to support the Cloud application developer in the tasks of discovering the needed functionalities and resources for application development through vendor independent representations of such application components, and representation of generic programming concepts and patterns, including application domain related ones. In this paper the use of the Semantic Engine, its ontologies and knowledge base is illustrated by following the design and implementation of an application for analysis of structures under static loading that is based on the Finite Element Method.

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Kinematically exact curved and twisted strain-based beam

Cited by 35 publications

References 43 publications

Formulation of a geometrically nonlinear 3D beam finite element based on kinematic-group approach

Formulation of a geometrically nonlinear 3D beam finite element based on kinematic-group approach

Large deflection analysis of geometrically exact spatial beams under conservative and nonconservative loads using intrinsic equations

Using the mOSAIC's semantic engine to design and develop civil engineering cloud applications

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