Integrated design and analysis of structural membranes using the Isogeometric B-Rep Analysis

Philipp, Benedikt; Breitenberger, M.; D’Auria, I.; Wüchner, Roland; Bletzinger, Kai‐Uwe

doi:10.1016/j.cma.2016.02.003

Cited by 53 publications

(23 citation statements)

References 46 publications

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“…Examples for element formulations of isogeometric surface elements for membranes can be found in [28,29] and for shells in [30][31][32][33][34][35][36][37][38].…”

Section: Analysis-related Enhancement Of Geometrical Datamentioning

confidence: 99%

“…Cables [29] and beams [39] are typically used for the reinforcement of shell or membrane structures. These formulations are also based on the principle of virtual work as shown in Eq.…”

Section: Mechanically Motivated Boundary Conditionsmentioning

confidence: 99%

“…The edges are supported and reinforced by cables [29], which are defined by a given prestress, and elastic beam elements [62]. The technique of embedding withing NURBS as described in [29,62] is applied for the edges cables. The analysis is based on the Updated reference strategy (URS) by [63].…”

Section: Membrane Roof-sternwellenzelt By Frei Ottomentioning

confidence: 99%

“…A form finding analysis was conducted for isogeometric membrane elements [29] under a given prestress. The edges are supported and reinforced by cables [29], which are defined by a given prestress, and elastic beam elements [62]. The technique of embedding withing NURBS as described in [29,62] is applied for the edges cables.…”

Section: Membrane Roof-sternwellenzelt By Frei Ottomentioning

confidence: 99%

See 3 more Smart Citations

Realization of CAD-integrated shell simulation based on isogeometric B-Rep analysis

Teschemacher

Bauer

Oberbichler

et al. 2018

Adv. Model. and Simul. in Eng. Sci.

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An entire design-through-analysis workflow solution for isogeometric B-Rep analysis (IBRA), including both the interface to existing CADs and the analysis procedure, is presented. Possible approaches are elaborated for the full scope of structural analysis solvers ranging from low to high isogeometric simulation fidelity. This is based on a systematic investigation of solver designs suitable for IBRA. A theoretically ideal IBRA solver has all CAD capabilities and information accessible at any point, however, realistic scenarios typically do not allow this level of information. Even a classical FE solver can be included in the CAD-integrated workflow, which is achieved by a newly proposed meshless approach. This simple solution eases the implementation of the solver backend. The interface to the CAD is modularized by defining a database, which provides IO capabilities on the base of a standardized data exchange format. Such database is designed to store not only geometrical quantities but also all the numerical information needed to realize the computations. This feature allows its use also in codes which do not provide full isogeometric geometrical handling capabilities. The rough geometry information for computation is enhanced with the boundary topology information which implies trimming and coupling of NURBS-based entities. This direct use of multi-patch trimmed CAD geometries follows the principle of embedding objects into a background parametrization. Consequently, redefinition and meshing of geometry is avoided. Several examples from illustrative cases to industrial problems are provided to demonstrate the application of the proposed approach and to explain in detail the proposed exchange formats.

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“…Examples for element formulations of isogeometric surface elements for membranes can be found in [28,29] and for shells in [30][31][32][33][34][35][36][37][38].…”

Section: Analysis-related Enhancement Of Geometrical Datamentioning

confidence: 99%

“…Cables [29] and beams [39] are typically used for the reinforcement of shell or membrane structures. These formulations are also based on the principle of virtual work as shown in Eq.…”

Section: Mechanically Motivated Boundary Conditionsmentioning

confidence: 99%

Section: Membrane Roof-sternwellenzelt By Frei Ottomentioning

confidence: 99%

Section: Membrane Roof-sternwellenzelt By Frei Ottomentioning

confidence: 99%

See 2 more Smart Citations

Realization of CAD-integrated shell simulation based on isogeometric B-Rep analysis

Teschemacher

Bauer

Oberbichler

et al. 2018

Adv. Model. and Simul. in Eng. Sci.

Self Cite

View full text Add to dashboard Cite

show abstract

“…As a precisely defined test case, a sphere with the radius r = 0.4 is positioned into a box-shaped background mesh, which then is refined several times, both uniformly at every intersection and adaptively using the above presented algorithm with α = 1 • (i.e., if the surface normal of the immersed geometry within a single intersected background element changes by more than one degree, the corresponding element is refined). For every mesh, the following error measure is evaluated: = ||r −r i || max (18) In this equation,r i represents the approximated radius at the i-th node of the approximated sphere, and || · || max the maximum norm. Figure 27 summarizes the results of this study.…”

Section: Refinement Strategies To Improve the Approximation Qualitymentioning

confidence: 99%

A robust algorithm for implicit description of immersed geometries within a background mesh

Baumgärtner

Wolf

Rossi

et al. 2018

Adv. Model. and Simul. in Eng. Sci.

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The paper presents a robust algorithm, which allows to implicitly describe and track immersed geometries within a background mesh. The background mesh is assumed to be unstructured and discretized by tetrahedrons. The contained geometry is assumed to be given as triangulated surface. Within the background mesh, the immersed geometry is described implicitly using a discontinuous distance function based on a level-set approach. This distance function allows to consider both, "double-sided" geometries like membrane or shell structures, and "single-sided" objects for which an enclosed volume is univocally defined. For the second case, the discontinuous distance function is complemented by a continuous signed distance function, whereas ray casting is applied to identify the closed volume regions. Furthermore, adaptive mesh refinement is employed to provide the necessary resolution of the background mesh. The proposed algorithm can handle arbitrarily complicated geometries, possibly containing modeling errors (i.e., gaps, overlaps or a non-unique orientation of surface normals). Another important advantage of the algorithm is the embarrassingly parallel nature of its operations. This characteristic allows for a straightforward parallelization using MPI. All developments were implemented within the open source framework "KratosMultiphysics" and are available under the BSD license. The capabilities of the implementation are demonstrated with various application examples involving practice-oriented geometries. The results finally show, that the algorithm is able to describe most complicated geometries within a background mesh, whereas the approximation quality may be directly controlled by mesh refinement.

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CAD‐integrierte Analyse im Entwurfsprozess

et al. 2019

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Leichtbau ist geprägt von seiner filigranen Tragstruktur, die sich durch eine Vielfalt von grazilen Formen und organisch wirkenden Freiformflächen auszeichnet. Moderne CAD‐Systeme nutzen NURBS (Non‐uniform rational B‐Splines), um die Formsprache des Leichtbaus dem Computer zugänglich zu machen. Die isogeometrische B‐Rep‐Analyse (IBRA) verwendet NURBS für das Lösen strukturmechanischer Probleme. Durch die Nutzung der gleichen geometrischen und topologischen Beschreibungen wird der kontinuierliche Datenaustausch zwischen CAD‐ und Analyse‐Software vereinfacht. Die einheitliche Modellbeschreibung begünstigt parametrische Entwurfsprozesse. Vorteile ergeben sich auch dort, wo die Ergebnisse einer Analyse wieder in das CAD übertragen werden sollen; beispielsweise bei einer Baufortschrittsmodellierung oder einer Formfindung, wenn es darum geht, die berechneten Geometrien erneut in den Entwurfsprozess einzubinden und mit ihnen weiterzuarbeiten. Im Hinblick auf biegeaktive Strukturen spielen die Glattheit der Modellgeometrie und die Abbildung ihrer Verformung eine bedeutende Rolle. Durch die Verwendung von NURBS ist dies gegeben.

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Integrated design and analysis of structural membranes using the Isogeometric B-Rep Analysis

Cited by 53 publications

References 46 publications

Realization of CAD-integrated shell simulation based on isogeometric B-Rep analysis

Realization of CAD-integrated shell simulation based on isogeometric B-Rep analysis

A robust algorithm for implicit description of immersed geometries within a background mesh

CAD‐integrierte Analyse im Entwurfsprozess

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