Int. J. Simul. Multidisci. Des. Optim.
Volume 8, 2017
|Number of page(s)||10|
|Published online||23 January 2017|
A MAC based excitation frequency increasing method for structural topology optimization under harmonic excitations
Laboratory of Engineering Simulation & Aerospace Computing-ESAC, Northwestern Polytechnical University, 710072
Xian, Shaanxi, China
2 China Academy of Engineering Physics, 621900 Mianyang, Sichuan, China
* e-mail: Jh.firstname.lastname@example.org
Accepted: 15 November 2016
This work is focused on the topology optimization of structures that are subjected to harmonic force excitation with prescribed frequency and amplitude. As an important objective of such a design problem, the natural resonance frequency of the structure is driven far away from the prescribed excitation frequency for the purpose of avoiding resonance and reducing the vibration level. Therefore when the excitation frequency is higher than the natural resonance frequency of the structure, the natural resonance frequency will decrease, then the optimum topology configuration will be distorted with large amount of gray elements. A MAC (Modal Assurance Criteria) based excitation frequency increasing method is proposed to obtain a desired configuration. MAC is adopted here to track the natural resonance frequency which can provide the baseline reference for the current excitation frequency during the optimum iterative procedure. Then the excitation frequency increases progressively up to its originally prescribed value. By means of numerical examples, the proposed formulation can generate effective topology configurations which can avoid resonance.
Key words: Topology optimization / Harmonic response / Resonant mode shape / Distorted configuration / MAC
© T. Liu et al., published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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