Integrating CAE Concepts with CAD Geometry

Armstrong, Cecil; Monaghan, D.; Price, Mark; Ou, Hengan; Lamont, J.

doi:10.4203/csets.8.4

Cited by 14 publications

(9 citation statements)

References 16 publications

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“…The above equation replaces Equation (2). Given these assumptions, a shape transformation T ( ) similar to Equation (9) can now be used to collapse the feature as in Figure 8(a) where the boundary feature collapses to a point P c on the plane (or line in 2-D) containing * 1 .…”

Section: Boundary Featuresmentioning

confidence: 99%

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Defeaturing: A posteriori error analysis via feature sensitivity

Turevsky

Gopalakrishnan

Suresh

2008

Numerical Meth Engineering

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SUMMARYIt is well known that small geometric features within a CAD model can significantly impact the computational cost, and often undermine the reliability, of finite element analysis. Engineers therefore resort to defeaturing or detail removal, wherein the offending features are suppressed prior to computational analysis. However, this results in a defeaturing-induced analysis error.In this paper, we estimate this error in an a posteriori sense through the novel concept of feature sensitivity. The latter determines the first-order change in quantities of interest when an arbitrary cluster of small geometric features is deleted from a model. A formal theory and a set of associated algorithms are provided to compute the feature sensitivity associated with a scalar elliptic partial differential equation. The theory is supported through numerical experiments in 2-D, involving both internal and boundary features.

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Section: Boundary Featuresmentioning

confidence: 99%

“…It is well known that small geometric features within a CAD model can significantly increase the computational cost, and often undermine the reliability, of finite element analysis (FEA) [1,2]. Engineers therefore resort to defeaturing or detail removal [3], wherein the offending features are suppressed prior to computational analysis.…”

Section: Introductionmentioning

confidence: 99%

Defeaturing: A posteriori error analysis via feature sensitivity

Turevsky

Gopalakrishnan

Suresh

2008

Numerical Meth Engineering

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“…In FE simulation, they may correspond to the data required to run the simulation: e.g. BCs, thicknesses, materials [6]. Some approaches try to take into account this application-dependent information during the geometric manipulations and modifications.…”

Section: Related Workmentioning

confidence: 99%

Merging enriched Finite Element triangle meshes for fast prototyping of alternate solutions in the context of industrial maintenance

Lou

Pernot

Mikchevitch

et al. 2010

Computer-Aided Design

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. a b s t r a c tA new approach to the merging of Finite Element (FE) triangle meshes is proposed. Not only it takes into account the geometric aspects, but it also considers the way the semantic information possibly associated to the groups of entities (nodes, faces) can be maintained. Such high level modification capabilities are of major importance in all the engineering activities requiring fast modifications of meshes without going back to the CAD model. This is especially true in the context of industrial maintenance where the engineers often have to solve critical problems in very short time. Indeed, in this case, the product is already designed, the CAD models are not necessarily available and the FE models might be tuned. Thus, the product behaviour has to be studied and improved during its exploitation while prototyping directly several alternate solutions. Such a framework also finds interest in the preliminary design phases where alternative solutions have to be simulated. The algorithm first removes the intersecting faces in an n-ring neighbourhood so that the filling of the created holes produces triangles whose sizes smoothly evolve according to the possibly heterogeneous sizes of the surrounding triangles. The holefilling algorithm is driven by an aspect ratio factor which ensures that the produced triangulation fits well the FE requirements. It is also constrained by the boundaries of the groups of entities gathering together the simulation semantic. The filled areas are then deformed to blend smoothly with the surroundings meshes.

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“…Usually, such models express a local or global abstraction or idealization of the digital shape of an object with regard to its physical shape, which is volume-based [1], [2]. However, it is still difficult to characterize such shapes on a global basis to be able to identify through holes or handles or even some other features that can be useful in many applications.…”

Section: Introductionmentioning

confidence: 99%

Classification of non-manifold singularities from transformations of 2-manifolds

Léon

Floriani

Hétroy

2009

2009 IEEE International Conference on Shape Modeling and Applications

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Abstract-Non-manifold models are frequently encountered in engineering simulations and design as well as in computer graphics. However, these models lack shape characterization for modelling and searching purposes. Topological properties act as a kernel for deriving key features of objects. Here we propose a classification for the non-manifold singularities of non-manifold objects through continuous shape transformations of 2-manifolds without boundary up to the creation of non-manifold singularities. As a result, the non-manifold objects thus created can be categorized and contribute to the definition of a general purpose taxonomy for non-manifold shapes.

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Integrating CAE Concepts with CAD Geometry

Cited by 14 publications

References 16 publications

Defeaturing: A posteriori error analysis via feature sensitivity

Defeaturing: A posteriori error analysis via feature sensitivity

Merging enriched Finite Element triangle meshes for fast prototyping of alternate solutions in the context of industrial maintenance

Classification of non-manifold singularities from transformations of 2-manifolds

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