A thin plate element based on the combined arbitrary Lagrange–Euler and absolute nodal coordinate formulations

Hyldahl, Per; Mikkola, Aki; Balling, Ole

doi:10.1177/1464419313480351

Cited by 13 publications

(21 citation statements)

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“…In addition to the theoretical work presented here in this thesis and in the published papers (see [38,40,39,41]), the author have been involved in two studies where the ANCF is applied in real life engineering problems (see [59,37] 5 ). Despite not being included directly in the thesis, these studies have helped to keep the practical application of the ANCF in mind.…”

Section: Closing 22 Discussion and Conclusionmentioning

confidence: 99%

“…This property is important if the method is to be applied in cases where movable nodes are only needed during some intervals of a simulation. For further explanation see the original research article [38] for the details regarding this first example. The second study presented here demonstrates the ability of the proposed ALE-ANCF method to move a node during simulation.…”

Section: Discussionmentioning

confidence: 99%

“…This chapter contains a review of the shell element introduced by Hyldahl et al [38]. In this paper, a novel shell finite element based on the combined arbitrary Lagrange-Euler and absolute nodal coordinate formulations (ALE-ANCF) is introduced.…”

Section: A Combined Ale-ancf Shell Elementmentioning

confidence: 99%

“…Initially, a review of the current state of the art rectangular ANCF shells is given. This includes a novel ANCF shell finite element with dynamic mesh properties introduced during this PhD project and published in a journal paper [38].…”

Section: Scope Of Workmentioning

confidence: 99%

“…In this study, shape functions based on the crossed beam technique are chosen. The shape functions are given in the original research paper [38].…”

Section: Kinematics Of Ale-ancf Based Shell Elementsmentioning

confidence: 99%

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Rectangular shell elements based on the absolute nodal coordinate formulation

Hyldahl¹

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This thesis concerns the development of tools that are useful for designing machine systems and components in an virtual environment using flexible multibody dynamics. Initially, flexible multibody dynamics is briefly reviewed to explain available formalisms and possible applications of this method. Subsequently, attention is turned towards the analysis of structures that undergo large deformations and rotations using shell finite elements based on the absolute nodal coordinate formulation, ANCF. This topic is the focus for the remainder of the thesis.The thesis is divided into three main parts. The first part acts as a general introduction to ANCF based shell finite elements and sums up available elements found in the research literature. In the end, a new ANCF element developed during this PhD project is presented which gives enhanced modeling capabilities of problems including e.g. moving boundary conditions. The second part concerns the performance and behavior of a certain class of ANCF shell elements that are developed for analysis of thin shell structures. This includes discussions on differences concerning their kinematic descriptions and disclosure of certain issues regarding their performance. Those being sensitivity to irregular mesh, pour representation of curved structures and load dependent convergence when analyzing curved structures.The final part concerns the development of a new versatile ANCF shell element. This element is distinguished by being able to describe both thin and thick curved structures. This part contains a thorough derivation of its kinematics and stiffness description, as well as numerical examples to demonstrate its performance. However, this part of the study is not yet complete.Finally, the findings of this PhD project are summed up in a conclusion and possibilities for further studies and perspectives are outlined.v ResuméDenne afhandling omhandler udviklingen af vaerktøjer, som er nyttige til at designe maskiner og maskindele i et virtuelt miljø vha. fleksibel flerlegemedynamik. Indledningsvist gives der en kort gennemgang af den fleksible flerlegeme-dynamik, for at give et overblik over metoden og dens mulige anvendelser. Dernaest flyttes opmaerksomheden over på analyse af strukturer som udsaettes for store deformationer og rotationer vha. endelige skalelementer (eng: shell finite elements) baseret på absolutte knude koordinater (eng: absolute nodal coordinate formulation, ANCF). Dette emne vil vaere fokus i resten af afhandlingen.Afhandlingen er inddelt i 3 dele. Den første del giver en general introduktion til ANCF skal-elementer, og opsummerer de forskellige elementklasser som kan findes i litteraturen. Mod slutningen introduceres der et nyt ANCF skal-element, som er udviklet under dette ph.d.-projekt. Dette element muliggør forbedret modellering af problemer med mobile randbetingelser.Anden del omhandler effektiviteten og egenskaberne hos en saerlig klasse af ANCF skal-elementer, som er udviklet specielt til analyse af tynde skalstrukturer. Heri diskuteres der...

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Section: Closing 22 Discussion and Conclusionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: A Combined Ale-ancf Shell Elementmentioning

confidence: 99%

Section: Scope Of Workmentioning

confidence: 99%

“…In this study, shape functions based on the crossed beam technique are chosen. The shape functions are given in the original research paper [38].…”

Section: Kinematics Of Ale-ancf Based Shell Elementsmentioning

confidence: 99%

See 3 more Smart Citations

Rectangular shell elements based on the absolute nodal coordinate formulation

Hyldahl¹

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Review and perspectives in applied mechanics of axially moving flexible structures

Scheidl

Vetyukov

2023

Acta Mech

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This comprehensive review primarily concerns axially moving flexible structures in problems involving distributed structure-to-solid contact. The distinguishing features of axially moving structures are presented in terms of prevalent studies regarding models with simplified support conditions. Subsequent sections focus on the particular difficulties of treating contact problems with classical structural theories, on the appropriate non-material kinematic description for travelling structures, on the proper formulation of established mechanical principles for open systems and on the category of Arbitrary Lagrangian–Eulerian (ALE) approaches, which are frequently applied for the development of application-oriented finite element schemes. Novel analytical and numerical transient solutions for the benchmark problem of an axially moving beam, which is travelling across a rough surface between two misaligned joints, are presented to illustrate particular challenges as well as to highlight perspectives for future research activities. There are 177 references cited in this paper.

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Axially variable-length solid element of absolute nodal coordinate formulation

Sun

Tian

et al. 2019

Acta Mech. Sin.

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An axially variable-length solid element with eight nodes is proposed by integrating the arbitrary Lagrangian-Eulerian (ALE) formulation and the absolute nodal coordinate formulation (ANCF). In addition to the nodal positions and slopes of eight nodes, two material coordinates in the axial direction are used as the generalized coordinates. As a consequence, the nodes in the ALE-ANCF are not associated with any specific material points and the axial length of the solid element can be varied over time. The above two material coordinates give rise to a variable mass matrix and an additional inertial force vector. Computationally efficient formulae of the additional inertial forces and elastic forces, as well as their Jacobians, are also derived. The dynamic equation of a flexible multibody system (FMBS) with variable-length bodies is presented. The maximum and minimum lengths of the boundary elements of an FMBS have to be appropriately defined to ensure accuracy and non-singularity when solving the dynamic equation. Three numerical examples of static and dynamic problems are given to validate the variable-length solid elements of ALE-ANCF and show their capability.

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A thin plate element based on the combined arbitrary Lagrange–Euler and absolute nodal coordinate formulations

Cited by 13 publications

References 13 publications

Rectangular shell elements based on the absolute nodal coordinate formulation

Rectangular shell elements based on the absolute nodal coordinate formulation

Review and perspectives in applied mechanics of axially moving flexible structures

Axially variable-length solid element of absolute nodal coordinate formulation

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