2022
DOI: 10.3390/aerospace9070381
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Shape Optimisation of Assembled Plate Structures with the Boundary Element Method

Abstract: A novel methodology is presented for performing sensitivity analyses of assembled plate structures using the Boundary Element Method (BEM). The main novelty of this work is that the exact implicit derivatives of the BEM formulations for assembled plate structures have been derived for the first time and incorporated into a newly developed Implicit Differentiation Method (IDM), enabling sensitivity analyses to be conducted for more complex and realistic structures in a more accurate, robust, and efficient manne… Show more

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Cited by 2 publications
(1 citation statement)
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“…In engineering practice, due to the complexity of the load and boundary conditions of the plate structure, it is difficult to obtain accurate results by using analytical methods. Numerical methods are mostly used for analysis, including meshless methods [8], boundary element methods [9], and finite element methods [10]. Among them, the finite element method is widely used, and scholars have proposed various computational formats, such as the total Lagrangian method (TL) and the updated Lagrangian method (UL) [11][12][13][14][15][16][17].…”
Section: Introductionmentioning
confidence: 99%
“…In engineering practice, due to the complexity of the load and boundary conditions of the plate structure, it is difficult to obtain accurate results by using analytical methods. Numerical methods are mostly used for analysis, including meshless methods [8], boundary element methods [9], and finite element methods [10]. Among them, the finite element method is widely used, and scholars have proposed various computational formats, such as the total Lagrangian method (TL) and the updated Lagrangian method (UL) [11][12][13][14][15][16][17].…”
Section: Introductionmentioning
confidence: 99%