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Structural and Multidisciplinary Optimization

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01-08-2019 | Research Paper

Stiffener layout optimization of plate and shell structures for buckling problem by adaptive growth method

Authors: Xiaohu Dong, Xiaohong Ding, Guojie Li, Gareth Peter Lewis

Published in: Structural and Multidisciplinary Optimization | Issue 1/2020

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Abstract

Under axial pressure or shear load, thin-walled plate and shell structures are easily destroyed by buckling. This paper presents the design method for finding the optimal stiffener layout on thin-walled plate and shell structures against the buckling by using the adaptive growth method (AGM), which is based on the growth mechanism of branch systems in nature. Firstly, a mathematical model for optimization of the stiffener layout against buckling is established, and a Karush-Kuhn-Tucker (KKT)-based iteration formula is derived. Next, the stiffeners grow or degenerate from “seeds” according to the adaptive growth principle. Several examples, including imperforated and perforated rectangular plates with unilateral axial pressure and shear loading, are demonstrated to validate the effectiveness of the suggested method, and well-defined stiffener layouts are obtained. The results show that the stiffener layout is clear, and the buckling resistance performance of the optimized stiffened structures is greatly improved.

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Title: Stiffener layout optimization of plate and shell structures for buckling problem by adaptive growth method
Authors: Xiaohu Dong
Xiaohong Ding
Guojie Li
Gareth Peter Lewis
Publication date: 01-08-2019
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 1/2020
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-019-02361-0

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