A new stress-based topology optimization approach for finding flexible structures
This paper presents a new FE-based stress-related topology optimization approach for finding bending governed flexible designs. Thereby, the knowledge about an output displacement or force as well as the detailed mounting position is not necessary for the application. The newly developed objective f...
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| Veröffentlicht in: | Structural and multidisciplinary optimization 2021-10, Vol.64 (4), p.1997-2007 |
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| container_end_page | 2007 |
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| container_issue | 4 |
| container_start_page | 1997 |
| container_title | Structural and multidisciplinary optimization |
| container_volume | 64 |
| creator | Noack, Martin Kühhorn, Arnold Kober, Markus Firl, Matthias |
| description | This paper presents a new FE-based stress-related topology optimization approach for finding bending governed flexible designs. Thereby, the knowledge about an output displacement or force as well as the detailed mounting position is not necessary for the application. The newly developed objective function makes use of the varying stress distribution in the cross section of flexible structures. Hence, each element of the design space must be evaluated with respect to its stress state. Therefore, the method prefers elements experiencing a bending or shear load over elements which are mainly subjected to membrane stresses. In order to determine the stress state of the elements, we use the principal stresses at the Gauss points. For demonstrating the feasibility of the new topology optimization approach, three academic examples are presented and discussed. As a result, the developed sensitivity-based algorithm is able to find usable flexible design concepts with a nearly discrete 0 − 1 density distribution for these examples. |
| doi_str_mv | 10.1007/s00158-021-02960-w |
| format | Article |
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| subjects | Algorithms Bending Computational Mathematics and Numerical Analysis Density distribution Engineering Engineering Design Flexible structures Optimization Research Paper Stress distribution Stress state Theoretical and Applied Mechanics Topology optimization |
| title | A new stress-based topology optimization approach for finding flexible structures |
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