Adaptive Quadtree scaled boundary finite element approach for sequential element rejection and admission topology optimization under dynamic responses.

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Title: Adaptive Quadtree scaled boundary finite element approach for sequential element rejection and admission topology optimization under dynamic responses.
Authors: Su, Rut1 (AUTHOR) ruts@kmutnb.ac.th, Pavaluksanawat, Aornwara2 (AUTHOR) aornwara_pava@hotmail.com, Sutha, Arnut2 (AUTHOR) 6478805421@student.chula.ac.th, Tangaramvong, Sawekchai1,2 (AUTHOR) sawekchai.t@chula.ac.th
Source: Engineering Analysis with Boundary Elements. Aug2026, Vol. 189, pN.PAG-N.PAG. 1p.
Subjects: Quadtrees, Structural optimization, Finite element method, Dynamic loads, Time integration scheme, Structural design
Abstract: Structural topology optimization under dynamic loading is a challenging yet increasingly important task for designing efficient and resilient structures. This paper presents an automated framework that integrates the Scaled Boundary Finite Element Method (SBFEM) with the Sequential Element Rejection and Admission (SERA) algorithm to optimize the layout of 2D structures under time-varying loads. The SBFEM provides an efficient semi-analytical solution for structural responses, while the SERA algorithm iteratively removes and adds material to achieve an optimal topology. The framework is fully image-based: an automatic quadtree mesh is generated from input images, and a convolution-filtering adaptive meshing strategy is employed to refine the design with minimal user intervention. To handle dynamic forces efficiently, a high-order implicit time integration scheme based on Padé expansions is used to convert transient loads into equivalent static loads at each time step. Furthermore, an Adaptive Design Domain (ADD) method is incorporated, allowing the design space to evolve and expand beyond the initial domain. The proposed integrated approach enables efficient topology optimization for dynamically loaded structures by reducing computational effort and broadening design possibilities. The methodology is demonstrated on benchmark examples of 2D cantilever structures under transient loading, highlighting its potential for practical applications in structural and mechanical design. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:Structural topology optimization under dynamic loading is a challenging yet increasingly important task for designing efficient and resilient structures. This paper presents an automated framework that integrates the Scaled Boundary Finite Element Method (SBFEM) with the Sequential Element Rejection and Admission (SERA) algorithm to optimize the layout of 2D structures under time-varying loads. The SBFEM provides an efficient semi-analytical solution for structural responses, while the SERA algorithm iteratively removes and adds material to achieve an optimal topology. The framework is fully image-based: an automatic quadtree mesh is generated from input images, and a convolution-filtering adaptive meshing strategy is employed to refine the design with minimal user intervention. To handle dynamic forces efficiently, a high-order implicit time integration scheme based on Padé expansions is used to convert transient loads into equivalent static loads at each time step. Furthermore, an Adaptive Design Domain (ADD) method is incorporated, allowing the design space to evolve and expand beyond the initial domain. The proposed integrated approach enables efficient topology optimization for dynamically loaded structures by reducing computational effort and broadening design possibilities. The methodology is demonstrated on benchmark examples of 2D cantilever structures under transient loading, highlighting its potential for practical applications in structural and mechanical design. [ABSTRACT FROM AUTHOR]
ISSN:09557997
DOI:10.1016/j.enganabound.2026.106824