On the quantification of errors of a pre-processing effort reducing contact meshing approach

Keskin, Akin; Kober, Markus; Stelldinger, Enrico; Kuehhorn, Arnold; Boehm, Heike; Hornig, Andreas; Hufenbach, W.

doi:10.2514/6.2015-0408

Cited by 3 publications

(5 citation statements)

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“…By doing this, meshes with different element density can be obtained for each part of the tooth, thus allowing the performance of local mesh refinement. However, Roarty [24] and Keskin [25] showed that using MPCs to connect non-conforming meshes can produce numerical errors at the mismatching interfaces and introduce difficulties in the generation of the finite element model. A different approach was presented by Barbieri [21], who introduced the idea of performing adaptive mesh refinement in the finite element meshes of the gears.…”

Section: Introductionmentioning

confidence: 99%

A simple procedure for generating locally refined 2D quadrilateral finite element meshes of gears

Roda-Casanova

Sanchez-Marin

2021

Mechanism and Machine Theory

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This article describes a new procedure for automated generation of two-dimensional locally refined quadrilateral meshes of gear drives. In this new procedure, a base mesh is generated using a multiblock meshing procedure. Then, selected elements of the base mesh are subdivided to obtain a refined mesh in certain parts of the gear teeth. The proposed procedure is completed with a mesh quality enhancement technique, which is based on an optimization-based smoothing. It also includes strategies that allow to automatically identify and refine those areas of the gear that are typically subjected to elevated stress gradients. The performance of the proposed procedure is illustrated with numerical examples, and it is compared to other existing meshing procedures, both in terms of mesh distortion and accuracy of the results.

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Section: Introductionmentioning

confidence: 99%

A simple procedure for generating locally refined 2D quadrilateral finite element meshes of gears

Roda-Casanova

Sanchez-Marin

2021

Mechanism and Machine Theory

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“…In this procedure, individual meshes are generated for the refined and the nonrefined areas, and they are connected between them using multi-point constraints. However, using multi-point constraints to connect non-conforming meshes tends to be cumbersome from a model development standpoint [22] and can introduce numerical errors at the mismatching interfaces [23]. Furthermore, the meshing procedure proposed by Gonzalez-Perez does not prevent the generation of distorted elements out of the refined area.…”

Section: Introductionmentioning

confidence: 99%

Development of a multiblock procedure for automated generation of two-dimensional quadrilateral meshes of gear drives

Roda-Casanova

Sanchez-Marin

2020

Mechanism and Machine Theory

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This article describes a new multiblock procedure for automated generation of two-dimensional quadrilateral meshes of gear drives. The typical steps of the multiblock schemes have been investigated in depth to obtain a fast and simple way to mesh planar sections of gear teeth, allowing local mesh refinement and minimizing the appearance of distorted elements in the mesh. The proposed procedure is completed with two different mesh quality enhancement techniques. One of them is applied before the mesh is generated, and reduces the distortion of the mesh without increasing the computational time of the meshing process. The other one is applied once the mesh is generated, and reduces the distortion of the elements by means of a mesh smoothing method. The performance of the proposed procedure has been illustrated with several numerical examples, which demonstrate its ability to mesh different gear geometries under several meshing boundary conditions.

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“…This has the benefit of producing higher quality elements in the refinement regions with no propagation through the remaining mesh. However, this can introduce errors at the mismatching interface and is unsuitable for many applications [7].…”

Section: Introductionmentioning

confidence: 99%

“…Range of blocks obtained with the external division numbers[12,6,7,11] whilst varying 0 for the same 0 + 4 . Similarly 1 + 5 = 1…”

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confidence: 99%

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Multiblock Mesh Refinement by Adding Mesh Singularities

Armstrong¹,

Tierney³

et al. 2019

Lecture Notes in Computational Science and Engineering

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Several templates for 2D and 3D structured mesh refinement are presented. The templates have the property that the minimum number of irregular points or edges (mesh singularities) are added. For a given set of external division numbers a variety of interior meshes can be generated. The positions of the internal vertices in the template are calculated explicitly using an extended transfinite mapping scheme, which has previously been shown to be equivalent to iterative iso-parametric smoothing. Since calculating the block vertex positions requires the solution of a small number of linear equations, the optimum mesh in the interior of the template can be evaluated very cheaply before the block structured mesh is generated.

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On the quantification of errors of a pre-processing effort reducing contact meshing approach

Cited by 3 publications

References 5 publications

A simple procedure for generating locally refined 2D quadrilateral finite element meshes of gears

A simple procedure for generating locally refined 2D quadrilateral finite element meshes of gears

Development of a multiblock procedure for automated generation of two-dimensional quadrilateral meshes of gear drives

Multiblock Mesh Refinement by Adding Mesh Singularities

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