An eigenfrequency-constrained topology optimization method with design variable reduction

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

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.

• Language: English
• Keywords: eigenfrequency constraint, topology optimization, bi-directional evolutionary structural optimization, design variable reduction, Lagrange multiplier method
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: Str. 159-169
• Numbering: Vol. 70, no. 3/4
• PID: 20.500.12556/RUL-155747
• UDC: 531
• ISSN on article: 0039-2480
• DOI: 10.5545/sv-jme.2023.739
• COBISS.SI-ID: 192479491
• Publication date in RUL: 15.04.2024

Record is a part of a journal

• Title: Strojniški vestnik
• Shortened title: Stroj. vestn.
• Publisher: Zveza strojnih inženirjev in tehnikov Slovenije [etc.], = Association of Mechanical Engineers and Technicians of Slovenia [etc.
• ISSN: 0039-2480
• COBISS.SI-ID: 762116

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Title: Metoda topološke optimizacije z omejevanjem lastnih frekvenc in redukcijo konstrukcijskih spremenljivk
• Keywords: omejitev lastne frekvence, topološka optimizacija, BESO, redukcija konstrukcijskih spremenljivk, metoda Lagrangeovega multiplikatorja

Projects

• Funder: Other - Other funder or multiple funders
• Funding programme: Fundamental Research Funds for the Central Universities
• Project number: 2019Ⅲ138cG