Version 1
: Received: 23 April 2024 / Approved: 26 April 2024 / Online: 26 April 2024 (08:15:34 CEST)
How to cite:
Chen, Z.; Xie, L. Structural Shape Optimization Based on Multi-patch Weakly Singular IGABEM and Particle Swarm Optimization Algorithm in Two-Dimensional Elastostatics.. Preprints2024, 2024041714. https://doi.org/10.20944/preprints202404.1714.v1
Chen, Z.; Xie, L. Structural Shape Optimization Based on Multi-patch Weakly Singular IGABEM and Particle Swarm Optimization Algorithm in Two-Dimensional Elastostatics.. Preprints 2024, 2024041714. https://doi.org/10.20944/preprints202404.1714.v1
Chen, Z.; Xie, L. Structural Shape Optimization Based on Multi-patch Weakly Singular IGABEM and Particle Swarm Optimization Algorithm in Two-Dimensional Elastostatics.. Preprints2024, 2024041714. https://doi.org/10.20944/preprints202404.1714.v1
APA Style
Chen, Z., & Xie, L. (2024). Structural Shape Optimization Based on Multi-patch Weakly Singular IGABEM and Particle Swarm Optimization Algorithm in Two-Dimensional Elastostatics.. Preprints. https://doi.org/10.20944/preprints202404.1714.v1
Chicago/Turabian Style
Chen, Z. and Longtao Xie. 2024 "Structural Shape Optimization Based on Multi-patch Weakly Singular IGABEM and Particle Swarm Optimization Algorithm in Two-Dimensional Elastostatics." Preprints. https://doi.org/10.20944/preprints202404.1714.v1
Abstract
In this paper, a multi-patch weakly singular isogeometric boundary element method (WSIGABEM) for two-dimensional elastostatics is proposed. Since the method based on the weakly singular boundary integral equation, the quadrature techniques, dedicated for the weakly singular and regular integrals, are applied in the method. A new formula for the generation of collocation points is suggested to take the full advantage of the multi-patch technique. The generated collo-cation points are essentially inside the patches without any correction. If the boundary conditions are assumed to be continuous in every patch, no collocation point lies on the discontinuous boundaries, thus simplifying the implementation. The multi-patch WSIGABEM is verified by the simple examples with analytical solutions. The feature of the present multi-patch WSIGABEM is investigated by the comparison with the traditional IGABEM. Furthermore, the combination of the present multi-patch WSIGABEM and the particle swarm optimization algorithm results in a shape optimization method in two-dimensional elastostatics. By changing some specific control points and their weights, the shape optimizations of the fillet corner, the spanner and the arch bridge are verified to be effective.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
