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Adaptive scaled boundary finite element method for two/three-dimensional structural topology optimization based on dynamic responses.
- Source :
-
Computer Methods in Applied Mechanics & Engineering . May2024, Vol. 425, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- This paper presents an efficient solution for designing the topology of structures that can withstand dynamic loads. The method, called image/stereolithography (STL)-based adaptive scaled boundary finite element (SBFE), is a novel approach to topology optimization (TO) that is particularly effective for designing two/three-dimensional structures. The SBFE-based TO algorithm adopts a bi-evolutionary structural optimization (BESO) approach, which utilizes image/STL-based procedures to automatically adapt meshes and minimize mechanical compliance under varying volume fractions in the time domain. A key advantage of this approach is that it uses images of TO responses, rather than specific error functions, to guide the automatic adaptive mesh schemes. The method also incorporates a quadtree/octree mesh refinement to address the problem of hanging nodes, ensuring fast mesh convergence during the optimization process. Furthermore, a high-order implicit time integration technique provides a close approximation of equivalent static loads, allowing for the accurate mapping of displacement fields under actual dynamic responses at each time step. The effectiveness of this method is demonstrated through a variety of numerical examples and benchmarks. • SBFE-based TO algorithm adopts image/STL procedures for automated mesh adaptation. • Multiple dynamic loadings applied in optimization result in various optimal layouts. • Implicit time integration based on Padé expansions is employed in elastodynamic analysis. • Objective function, weighted summation of compliances near critical peak points, reduces CPU time. • Optimal results undergo further smoothing using Fusion 360, a commercial software. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00457825
- Volume :
- 425
- Database :
- Academic Search Index
- Journal :
- Computer Methods in Applied Mechanics & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 176869336
- Full Text :
- https://doi.org/10.1016/j.cma.2024.116966