An eigenfrequency-constrained topology optimization method with design variable reduction

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

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.

• Jezik: Angleški jezik
• Ključne besede: eigenfrequency constraint, topology optimization, bi-directional evolutionary structural optimization, design variable reduction, Lagrange multiplier method
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FS - Fakulteta za strojništvo
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2024
• Št. strani: Str. 159-169
• Številčenje: Vol. 70, no. 3/4
• PID: 20.500.12556/RUL-155747
• UDK: 531
• ISSN pri članku: 0039-2480
• DOI: 10.5545/sv-jme.2023.739
• COBISS.SI-ID: 192479491
• Datum objave v RUL: 15.04.2024

Gradivo je del revije

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

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

• Jezik: Slovenski jezik
• Naslov: Metoda topološke optimizacije z omejevanjem lastnih frekvenc in redukcijo konstrukcijskih spremenljivk
• Ključne besede: omejitev lastne frekvence, topološka optimizacija, BESO, redukcija konstrukcijskih spremenljivk, metoda Lagrangeovega multiplikatorja

Projekti

• Financer: Drugi - Drug financer ali več financerjev
• Program financ.: Fundamental Research Funds for the Central Universities
• Številka projekta: 2019Ⅲ138cG