A study of moderately thick quadrilateral plate elements based on the absolute nodal coordinate formulation

Matikainen, Marko K.; Valkeapää, Antti; Mikkola, Aki; Schwab, A. L.

doi:10.1007/s11044-013-9383-6

Cited by 46 publications

(40 citation statements)

References 22 publications

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“…The refinement process is mainly divided into three steps: (1) appropriately dividing the model into a uniform mesh; (2) calculating second Piola-Kirchhoff stress i σ of each node in the mesh; (3) determining where the mesh should be densified according to the local stress distribution characteristic.…”

Section: Local Mesh Refine Methodsmentioning

confidence: 99%

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Research On Local Mesh Refine Method Based On Absolute Nodal Coordinate Formulation

Liu¹,

He²,

Xu³

et al. 2016

Proceedings of the 6th International Conference on Information Engineering for Mechanics and Materials

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Abstract. In order to reduce the computation time and increase the convergence rate of absolute nodal coordinate formulation (ANCF), this paper gives a new local mesh refine method that can densify the mesh locally according to the degree of stress concentration. The mesh is divided into two kinds after comparing the maximum of the stress at each nodes with the average stress of the total fine mesh. The density of the new mesh is decided by the degree of stress concentration. The example that a rectangle plate fixed at four corner nodes with concentrate force applied at the center of the plate is simulated by fully parameterized ANCF plate element is given to verify our method.

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Section: Local Mesh Refine Methodsmentioning

confidence: 99%

“…However, ANCF has more degrees of freedom than traditional FEM with the same element number, so the dynamics simulation based on ANCF will need more computation time. What's more, in order to get a convergent solution [3], fine mesh is need in the simulation of ANCF, and it will also increase the workload of computation.…”

Section: Introductionmentioning

confidence: 99%

Research On Local Mesh Refine Method Based On Absolute Nodal Coordinate Formulation

Liu¹,

He²,

Xu³

et al. 2016

Proceedings of the 6th International Conference on Information Engineering for Mechanics and Materials

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show abstract

“…The use of the continuum based stiffness description in its pure form is unfavorable as it leads to an overly stiff representation due to locking [50,51,69]. Here, it is reported that when the stiffness description is based purely on the interpolated displacement field, the element will suffer from transverse shear, Poisson thickness and curvature locking.…”

Section: Shell Elements Based On the Ancfmentioning

confidence: 99%

“…This widens the area of application significantly. Furthermore, as methods for treating problems regarding locking has been introduced, the fully parameterized element performs well for both thin and thick shell structures [51]. However, fully parameterized elements often have a large number of d.o.f.…”

Section: Shear and Thickness Deformable Ancf 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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Weak form quadrature elements based on absolute nodal coordinate formulation for planar beamlike structures

Zhong

2021

Acta Mech

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A study of moderately thick quadrilateral plate elements based on the absolute nodal coordinate formulation

Cited by 46 publications

References 22 publications

Research On Local Mesh Refine Method Based On Absolute Nodal Coordinate Formulation

Research On Local Mesh Refine Method Based On Absolute Nodal Coordinate Formulation

Rectangular shell elements based on the absolute nodal coordinate formulation

Weak form quadrature elements based on absolute nodal coordinate formulation for planar beamlike structures

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