20.500.12556/RUL-155747 An eigenfrequency-constrained topology optimization method with design variable reduction Metoda topološke optimizacije z omejevanjem lastnih frekvenc in redukcijo konstrukcijskih spremenljivk 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. eigenfrequency constraint topology optimization bi-directional evolutionary structural optimization design variable reduction Lagrange multiplier method omejitev lastne frekvence topološka optimizacija BESO redukcija konstrukcijskih spremenljivk metoda Lagrangeovega multiplikatorja true false true Angleški jezik Slovenski jezik Članek v reviji 2024-04-15 09:42:57 2024-04-15 09:43:00 2024-04-16 03:45:05 0000-00-00 00:00:00 2024 0 0 Str. 159-169 no. 3/4 Vol. 70 Mar.-Apr. 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 531 0039-2480 10.5545/sv-jme.2023.739 192479491 Liu,_Wu,_Chen-An_eigenfrequency-constrained_topology_optimization_method_with_design_variable_reduction.pdf Liu,_Wu,_Chen-An_eigenfrequency-constrained_topology_optimization_method_with_design_variable_reduction.pdf 1 E022D0ABBD047B0F52D630A096BADF08 ab181ae287dbfe81f5028b795d2ae1c8869310131109fc53cbd5b2051ca24287 f28f84f7-fafb-11ee-a0f3-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=182809 https://www.sv-jme.eu/sl/article/an-eigenfrequency-constrained-topology-optimization-method-with-design-variable-reduction/ 1 cb9c654f-fafb-11ee-a0f3-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=182808 Fakulteta za strojništvo Strojniški vestnik 0 0 0