Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Topology optimization and geometric nonlinear modeling using positional finite elements
Topology optimization is an effective approach for the efficient layout design of structures and their components. This approach is well-established in the solid mechanics’ domain for linear elastic and small-displacement conditions. However, the topology optimization of elastic structures under large-displacement conditions has been marginally addressed in the literature. This study proposes a numerical formulation for the topology optimization analysis of plane structures subjected to geometrically nonlinear behavior. This formulation couples positional finite elements to the solid isotropic material with penalization method. High order positional finite elements have been utilized, which enable high accuracy on the mechanical fields’ assessment. The proposed formulation achieves the benchmark responses available in the literature for geometric linear conditions, as expected. Nevertheless, the topology optimization analysis accounting for geometric nonlinear conditions leads to final geometries largely different from those predicted in linear conditions. Two applications demonstrate the accuracy of the proposed numerical scheme and emphasize the importance of handling properly the geometric nonlinear effects into real engineering design.
Topology optimization and geometric nonlinear modeling using positional finite elements
Topology optimization is an effective approach for the efficient layout design of structures and their components. This approach is well-established in the solid mechanics’ domain for linear elastic and small-displacement conditions. However, the topology optimization of elastic structures under large-displacement conditions has been marginally addressed in the literature. This study proposes a numerical formulation for the topology optimization analysis of plane structures subjected to geometrically nonlinear behavior. This formulation couples positional finite elements to the solid isotropic material with penalization method. High order positional finite elements have been utilized, which enable high accuracy on the mechanical fields’ assessment. The proposed formulation achieves the benchmark responses available in the literature for geometric linear conditions, as expected. Nevertheless, the topology optimization analysis accounting for geometric nonlinear conditions leads to final geometries largely different from those predicted in linear conditions. Two applications demonstrate the accuracy of the proposed numerical scheme and emphasize the importance of handling properly the geometric nonlinear effects into real engineering design.
Topology optimization and geometric nonlinear modeling using positional finite elements
Optim Eng
Paulino, Daniele M. S. (Autor:in) / Leonel, Edson D. (Autor:in)
Optimization and Engineering ; 23 ; 1439-1469
01.09.2022
31 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Topology optimization using B-spline finite elements
| British Library Online Contents | 2011
Honeycomb Wachspress finite elements for structural topology optimization
| British Library Online Contents | 2009
Topology Optimization of Concrete Beam Using Higher Order Finite Elements
| Springer Verlag | 2024
Topology Optimization of Multi-loaded Structures with Mixed Finite Elements
| Online Contents | 2007
Topology Optimization of Multi-Loaded Structures with Mixed Finite Elements
| SAGE Publications | 2007