| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Estadual Campinas, Sch Mech Engn, Dept Computat Mech, Rua Mendeleyev 200, BR-13083860 Campinas - Brazil
[2] Univ Lyon, LaMCoS, CNRS UMR5259, INSA Lyon, F-69621 Villeurbanne - France
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION; v. 63, n. 5 JAN 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
This work aims to perform the topology optimizationof frequency separation interval of continuous elastic bi-dimensional structures in the high-frequency domain. The studied structures are composed of two materials. The proposed algorithm is an adaptation of the Bidirectional Evolutionary Structural Optimization (BESO). As the modal density is high in this frequency domain, the objective function, based on the weighted natural frequency, is formulated to consider an important number of modes. To implement the algorithm, a mode tracking method is necessary to avoid problems stemming from mode-shifting and local modes. As the obtained results by using structural dynamics analysis present quasi-periodic topology, further calculations are done to compare the results with and without imposed periodicity. A dispersion analysis based on wave propagation theory is performed by using the unit cell previously obtained from the structural optimization to investigate the band gap phenomenon. The resulting band gaps from the dispersion analysis are compared with respect to the dynamic behavior of the structure. The topology optimization methodology and the wave propagation analysis are assessed for different boundary conditions and geometries. Comparison between both analyses shows that the influence of the boundary conditions on the frequency separation interval is small. However, the influence from the geometry is more pronounced. The optimization procedure does not present significant numerical instability. The obtained topologies are well-defined and easily manufacturable, and the obtained natural frequency separation intervals are satisfactory. (AU) | |
| FAPESP's process: | 19/05393-7 - Maximization of natural frequencies and frequency gaps of continuum structures by an evolutionary topology optimization method |
| Grantee: | Heitor Nigro Lopes |
| Support Opportunities: | Scholarships in Brazil - Doctorate (Direct) |
| FAPESP's process: | 13/08293-7 - CCES - Center for Computational Engineering and Sciences |
| Grantee: | Munir Salomao Skaf |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |