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http://dx.doi.org/10.3795/KSME-A.2003.27.7.1210

Topology Design of a Structure with a Specified Eigenfrequency  

Lee, Jong-Hwan (현대중공업 선박해양연구소 구조연구실)
Min, Seung-Jae (한양대학교 기계공학부)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.27, no.7, 2003 , pp. 1210-1216 More about this Journal
Abstract
Topology optimization is applied to determine the layout of a structural component with a specified frequency by minimizing the difference between the specified structural frequency and a given frequency. The homogenization design method is employed and the topology design problem is solved by the optimality criteria method. The value of a weighting factor in the optimality criteria plays an important role in this topology design problem. The modified optimality criteria method approximated by using the binomial expansion is suggested to determine the suitable value of the weighting factor, which makes convergence stable. If a given frequency is set as an excited frequency, it is possible to avoid resonance by moving away the specified structural frequency from the given frequency. The results of several test problems are compared with previous works and show the validity of the proposed algorithm.
Keywords
Topology Optimization; Eigenfrequency; Homogenization Design Method; Optimality Criteria Method;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
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1 Prager, W. and Taylor, J.E., 1968, 'Problems of Optimal Structural Design,' J. of Applied Mechanics, Vol. 35, No. 1, pp. 102-106   DOI
2 Bendsoe, M. P., and Kikuchi, N., 1988, 'Generating Optimal Topologies for Structural Design Using a Homogenization Method,' Computer Methods in Applied Mechanics and Engineering, Vol. 71, pp. 197-224   DOI   ScienceOn
3 Kim. B. S. and Suh, M. W., 1999, 'Topology Optimization using an Optimality Criteria Method,' Transactions of the KSAE, Vol. 7, No. 8, pp. 224-232   과학기술학회마을
4 Ma, Z. -D., Kikuchi, N., and Hagiwara, I., 1993, 'Structural Topology and Shape Optimization for a Frequency Response Problem,' Computational Mechanics, Vol. 13, pp. 157-174   DOI
5 Ma, Z. -D., Kikuchi, N., Cheng, H. -C., and Hagiwara, I., 1995, 'Topology Optimization Technique for Free Vibration Problems,' J. of Applied Mechanics, Vol. 62, pp. 200-207   DOI   ScienceOn
6 Ma, Z. -D., Kikuchi, N., Cheng, H. -C., and Hagiwara, I., 1995, 'Topological Design for Vibrating Structures,' Computer Methods in Applied Mechanics and Engineering, Vol. 121, pp. 259-280   DOI   ScienceOn
7 Xie, Y. M. and Steven, G. P., 1966. 'Evolutionary Structural Optimization for Dynamic Problem,' Computers & Structures, Vol. 53, No. 6, pp. 1067-1073   DOI   ScienceOn
8 Lim, O. K. and Lee, J. S., 2000, 'Structural Topology Optimization for the Natural Frequency of a Designated Mode,' KSME International Journal, Vol. 14, No. 3, pp. 306-313   과학기술학회마을
9 Song, Y. J., Min, S. and Kikuchi, N., 1999, Finite Element Method and Structural Optimization CAE, Sungandang, pp.323-358
10 Haftka, R. T. and Gurdal, Z., 1992, Elements of structural optimization (3nd Ed.), Kluwer, Dordrecht
11 Koh, B. -C., 1995, 'Topology Optimization in the Process of Conceptual Design,' Journal of the KSME, Vol. 35, No. 8, pp. 716-724   과학기술학회마을
12 Ma, Z. -D., Hagiwara, I., 1991, 'Sensitivity Aalysis Methods for Coupled Acoustic Structural Systems, Part I: Modal Sensitivities,' AIAA Journal, Vol. 29, No. 11, pp. 1787-1795   DOI
13 Park, S. H. and Yoon, S. K., 1997, 'A Study on the Topology Optimization of Structures,' Transactions of the KSME, A, Vol. 21, No. 8, pp. 1241-1249   과학기술학회마을
14 Kim, T. S. and Kim, Y. Y., 1999. 'MAC-Based Mode Tracking in Structural Topology Optimization,' Computers & Structures, Vol. 74, No. 3, pp. 375-383   DOI   ScienceOn