Shop : Details
Shop
Details
November 2013
Robert Schmidt
Trimming, Mapping, and Optimization in Isogeometric Analysis of Shell Structures
The design and the analysis of thin-walled structures rely on the quality of the geometric models. Isogeometric Analysis provides a natural framework in considering both models as one. Consequently, geometrical errors are excluded by construction. In order to extend the applicability of Isogeometric Analysis, a combination of reconstruction and coupling methods is proposed to perform analysis on trimmed NURBS surfaces. This approach comprises trimmed single and multi-patch surfaces. The performance of this new methodology is highlighted in various examples. Moreover, a new concept, denoted as Isogeometric Load Design, is derived. This method enables to define areas of arbitrary shape to be subjected to a given loading. In particular, these loading areas do not have to conform with the underlying parameterization. Thus, a new feature is added to the framework of integrated design and analysis.
Another aspect in the design and analysis of thin-walled structures deals with shape optimization. It can be shown that Isogeometric Analysis and Shape Optimization merge naturally. Moreover, the equality of the involved models provides several advantages compared to the classical approaches. Additionally, it is demonstrated that only the coefficients of a gradient field and not the discrete gradient vectors should be applied to update the design. Otherwise, the influence of the individual design variables and its basis functions is not correctly reflected. In a next step, Isogeometric Shape Optimization is extended from single patch problems to multi-patches. The need for a continuity constraint on the optimization model is delineated and a variational formulation of this constraint is introduced. This formulation provides the possibility to handle design models consisting of conforming and nonconforming multi-patches. At several examples, it is highlighted that this constraint can be used to perpetuate continuity across patch boundaries. Moreover, it is shown that initial non-smoothly joined patches can be transformed during the optimization procedure into a smooth multi-patch shape.
Another aspect in the design and analysis of thin-walled structures deals with shape optimization. It can be shown that Isogeometric Analysis and Shape Optimization merge naturally. Moreover, the equality of the involved models provides several advantages compared to the classical approaches. Additionally, it is demonstrated that only the coefficients of a gradient field and not the discrete gradient vectors should be applied to update the design. Otherwise, the influence of the individual design variables and its basis functions is not correctly reflected. In a next step, Isogeometric Shape Optimization is extended from single patch problems to multi-patches. The need for a continuity constraint on the optimization model is delineated and a variational formulation of this constraint is introduced. This formulation provides the possibility to handle design models consisting of conforming and nonconforming multi-patches. At several examples, it is highlighted that this constraint can be used to perpetuate continuity across patch boundaries. Moreover, it is shown that initial non-smoothly joined patches can be transformed during the optimization procedure into a smooth multi-patch shape.
Schlagwörter: Isogeometric Analysis; Shape Optimization; NURBS; Trimming
Schriftenreihe des Lehrstuhls für Statik TU München
Herausgegeben von Prof. Dr.-Ing. K.-U. Bletzinger, München
Band 20
Verfügbare Online-Dokumente zu diesem Titel
Sie benötigen den Adobe Reader, um diese Dateien ansehen zu können. Hier erhalten Sie eine kleine Hilfe und Informationen, zum Download der PDF-Dateien.
Bitte beachten Sie, dass die Online-Dokumente nicht ausdruckbar und nicht editierbar sind.
Bitte beachten Sie auch weitere Informationen unter: Hilfe und Informationen.
Bitte beachten Sie auch weitere Informationen unter: Hilfe und Informationen.
| Dokument |  | Abstract / Kurzzusammenfassung | ||
| Dateiart |  | |||
| Kosten |  | frei | ||
| Aktion |  | Download der Datei | ||
| Dokument |  | Gesamtdokument | ||
| Dateiart | | |||
| Kosten |  | 36,60 € | ||
| Aktion |  | Zahlungspflichtig kaufen und download der Datei | ||
| Dokument |  | Inhaltsverzeichnis | ||
| Dateiart | | |||
| Kosten | | frei | ||
| Aktion | | Download der Datei | ||
Benutzereinstellungen für registrierte Online-Kunden (Online-Dokumente)
Sie können hier Ihre Adressdaten ändern sowie bereits georderte Dokumente erneut aufrufen.
Benutzer
Nicht angemeldet
Export bibliographischer Daten
Shaker Verlag GmbHAm Langen Graben 15a52353 Düren
Mo. - Do. 8:00 Uhr bis 16:00 UhrFr. 8:00 Uhr bis 15:00 Uhr
Kontaktieren Sie uns. Wir helfen Ihnen gerne weiter.
