An Effective Topology Optimization Approach Using Smoothed Bézier Curve-Fitting Based Level Set Method
In this paper, an extended finite element method and a curve-fitting procedure are incorporated into an implicit level set method to construct a three successive shape transformation steps topology optimization approach inspired for manufacturing fields. The extended finite element method plays an essential role in dealing with a weak discontinuous model after utilizing a zero level set to be divided into the solid and void areas in each element. The advantage of this procedure is that the node-based topology optimization's final optimal design is utilized to begin the smooth curve-fitting step to reduce the number of iterations. A Hamilton–Jacobi partial differential equation is transformed into ordinary differential equations over the entire design domain and updated by an upwind scheme. The proposed method is implemented in the minimum compliance design framework that has been extensively studied in topology optimization. Its efficiency and accuracy over the two material interpolation schemes, SIMP and RAMP, are highlighted. Numerical examples illustrate the success of the presented approach in the accuracy, convergence speed and insensitivity to initial designs in the topology optimization of two-dimensional structures. It is suggested that the introduction of the nodal density variables interpolation with a level set and smoothed curve-fitting approach can be promising in material topology optimization
Year of publication: |
2023
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Authors: | G. Luu, Nam |
Publisher: |
[S.l.] : SSRN |
Subject: | Theorie | Theory | Mathematische Optimierung | Mathematical programming |
Saved in:
freely available
Extent: | 1 Online-Ressource (37 p) |
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Type of publication: | Book / Working Paper |
Language: | English |
Notes: | Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments January 18, 2023 erstellt |
Other identifiers: | 10.2139/ssrn.4328631 [DOI] |
Source: | ECONIS - Online Catalogue of the ZBW |
Persistent link: https://www.econbiz.de/10014262253
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