Triller, Jens ; Immel, Rainer ; Harzheim, Lothar (2022)
Difference-based Equivalent Static Load Method with adaptive time selection and local stiffness adaption.
In: Structural and Multidisciplinary Optimization, 65
doi: 10.1007/s00158-021-03160-2
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
Structural optimization of crash related problems usually involves nonlinearities in geometry, material, and contact. The Equivalent Static Load (ESL) method provides a method to solve such problems. It has previously been extended to employ an individual Finite Element model describing the deformed geometry at each considered time step under the name Difference-based Equivalent Static Load (DiESL) method. This paper demonstrates how an appropriate selection of the time steps in each cycle can further improve the convergence behavior of the DiESL method. It is shown that the adaptive selection of time steps leads to better objective values and more reliable convergence to the presumed global optimum. Furthermore the DiESL extension enables the adaption of path-depended structural properties of the original nonlinear problem like material stiffness in each linear auxiliary load case. In this paper, an adaption of the Young's modulus on element level in the linear auxiliary problem corresponding to the local plasticization in the nonlinear dynamic problem is successfully implemented. Here, the test examples indicate that an observable improvement can only be obtained if neither the elements in the elastic nor in the plastic range are dominating the structure's behavior.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2022 |
| Autor(en): | Triller, Jens ; Immel, Rainer ; Harzheim, Lothar |
| Art des Eintrags: | Bibliographie |
| Titel: | Difference-based Equivalent Static Load Method with adaptive time selection and local stiffness adaption |
| Sprache: | Englisch |
| Publikationsjahr: | 14 Februar 2022 |
| Verlag: | Springer |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Structural and Multidisciplinary Optimization |
| Jahrgang/Volume einer Zeitschrift: | 65 |
| DOI: | 10.1007/s00158-021-03160-2 |
| Kurzbeschreibung (Abstract): | Structural optimization of crash related problems usually involves nonlinearities in geometry, material, and contact. The Equivalent Static Load (ESL) method provides a method to solve such problems. It has previously been extended to employ an individual Finite Element model describing the deformed geometry at each considered time step under the name Difference-based Equivalent Static Load (DiESL) method. This paper demonstrates how an appropriate selection of the time steps in each cycle can further improve the convergence behavior of the DiESL method. It is shown that the adaptive selection of time steps leads to better objective values and more reliable convergence to the presumed global optimum. Furthermore the DiESL extension enables the adaption of path-depended structural properties of the original nonlinear problem like material stiffness in each linear auxiliary load case. In this paper, an adaption of the Young's modulus on element level in the linear auxiliary problem corresponding to the local plasticization in the nonlinear dynamic problem is successfully implemented. Here, the test examples indicate that an observable improvement can only be obtained if neither the elements in the elastic nor in the plastic range are dominating the structure's behavior. |
| Freie Schlagworte: | DiESL, Equivalent Static Load Method, Multi-Mode |
| Zusätzliche Informationen: | Paper-ID: 89 |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Numerische Berechnungsverfahren im Maschinenbau (FNB) |
| Hinterlegungsdatum: | 21 Dez 2022 09:24 |
| Letzte Änderung: | 28 Dez 2022 10:09 |
| PPN: | 503203157 |
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