Wenchang Liu (Author), Chaohua Wu (Author), Xingan Chen (Author)

Abstract

The dynamic response of structures heavily relies on eigenfrequency, so the optimization of eigenfrequency is valuable in various working conditions. The bi-directional evolutionary structural optimization (BESO) method has been widely applied due to its ability to eliminate grayscale elements. Based upon BESO, this paper introduces a topology optimization method that incorporates eigenfrequency constraints and reduces the number of design variables. In this method, the optimization objective was to minimize compliance. The Lagrange multiplier was used to introduce eigenfrequency constraints, allowing for coordinated control of compliance and eigenfrequency. To prevent oscillation during the optimization process, the sensitivity was normalized. Additionally, to achieve faster convergence, the variables were reduced after meeting volume constraints. The numerical examples demonstrate the effectiveness of this method in increasing the eigenfrequency of the structure and avoiding resonance.

Keywords

eigenfrequency constraint;topology optimization;bi-directional evolutionary structural optimization;design variable reduction;Lagrange multiplier method;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FS - Faculty of Mechanical Engineering
UDC: 531
COBISS: 192479491 Link will open in a new window
ISSN: 0039-2480
Views: 11
Downloads: 0
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Other data

Secondary language: Slovenian
Secondary title: Metoda topološke optimizacije z omejevanjem lastnih frekvenc in redukcijo konstrukcijskih spremenljivk
Secondary keywords: omejitev lastne frekvence;topološka optimizacija;BESO;redukcija konstrukcijskih spremenljivk;metoda Lagrangeovega multiplikatorja;
Type (COBISS): Article
Pages: str. 159-169
Volume: ǂVol. ǂ70
Issue: ǂno. ǂ3/4
Chronology: Mar.-Apr. 2024
DOI: 10.5545/sv-jme.2023.739
ID: 23434962