Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Structural Topology Design Using Compliance Pattern Based Genetic Algorithm

컴플라이언스 패턴 기반 유전자 알고리즘을 이용한 구조물 위상설계

  • 박영오 (한양대학교 대학원 기계설계학과) ;
  • 민승재 (한양대학교 기계공학부/자동차공학과)
  • Published : 2009.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

Topology optimization is to find the optimal material distribution of the specified design domain minimizing the objective function while satisfying the design constraints. Since the genetic algorithm (GA) has its advantage of locating global optimum with high probability, it has been applied to the topology optimization. To guarantee the structural connectivity, the concept of compliance pattern is proposed and to improve the convergence rate, small number of population size and variable probability in genetic operators are incorporated into GA. The rank sum weight method is applied to formulate the fitness function consisting of compliance, volume, connectivity and checkerboard pattern. To substantiate the proposed method design examples in the previous works are compared with respect to the number of function evaluation and objective function value. The comparative study shows that the compliance pattern based GA results in the reduction of computational cost to obtain the reasonable structural topology.

Keywords

References

  1. Lim, Y. S., Min, S., Yoo, J., Terada, K. and Nishiwaki, S., 2006, 'Comparative Studies of Topology Optimization Using Continuous Approximation of Material Distribution,' Trans. of the KSME (A), Vol. 30, No. 8, pp. 889~896 https://doi.org/10.3795/KSME-A.2006.30.2.164
  2. Jensen, E., 1992, 'Topological Structural Design Using Genetic Algorithms,' Ph. D. Dissertation, Purdue University
  3. Chapman, C. D., Saitou, K. and Jakiela, M. J., 1994, 'Genetic Algorithms as an Approach to Configuration and Topology Design,' ASME Journal of Mechanical Design, Vol. 114, pp. 1005~1012 https://doi.org/10.1115/1.2919480
  4. Kane, C. and Schoenauer, M., 1996, 'Topological Optimum Design using Genetic Algorithms,' Control and Cybernetics, Vol. 25, pp. 1059~1088
  5. Jakiela, M. J., Chapman, C., Duda, J. and Adewuya, A., 2000, 'Continuum Structural Topology Design with Genetic Algorithms,' Computer Methods in Applied Mechanics and Engineering, Vol. 186, pp. 339~356 https://doi.org/10.1016/S0045-7825(99)00390-4
  6. Fanjoy, D. W. and Crossley, W. A., 2002, 'Topology Design of Planar Cross-Sections with a Genetic Algorithm: Part 1-Overcoming the Obstacles,' Engineering Optimization, Vol. 34, No. 1, pp. 1~22 https://doi.org/10.1080/713715312
  7. Tai, K. and Chee, T. H., 2000, 'Design of Structures and Compliant Mechanisms by Evolutionary Optimization of Morphological Representations of Topology,' Journal of Mechanical Design, Vol. 122, pp. 560~566 https://doi.org/10.1115/1.1319158
  8. Wang, S. Y. and Tai, K., 2005, 'Structural Topology Design Optimization using Genetic Algorithms with a Bit-array Representation,' Computer Methods in Applied Mechanics and Engineering, Vol. 194, pp.3749~3770 https://doi.org/10.1016/j.cma.2004.09.003
  9. Wang, S. Y. and Tai, K., 2004, 'Graph Representation for Structural Topology Optimization using Genetic Algorithms,' Computers & Structures, Vol. 82, pp. 1609~1622 https://doi.org/10.1016/j.compstruc.2004.05.005
  10. Wang, S. Y. and Tai, K., 2005, 'Bar-system Representation for Topology Optimization using Genetic Algorithms,' Engineering Computations, Vol. 22, pp. 206~231 https://doi.org/10.1108/02644400510585493
  11. Hamda, H. and Jouve, F., 2002, 'Compact Unstructured Representations for Evolutionary Design,' Applied Intelligence, Vol. 16, pp. 139~155 https://doi.org/10.1023/A:1013666503249
  12. Bendsoe, M. P. and Sigmund, O., 2004, Topology Optimization, Springer-Verlag, pp. 9~27
  13. Madeira, J. F. A., Rodrigues, H. and Pina, H., 2005, 'Multi-objective Optimization of Structures Topology by Genetic Algorithms,' Advances in Engineering Software, Vol.36, pp.21~28 https://doi.org/10.1016/j.advengsoft.2003.07.001
  14. Sigmund, O., 2001, 'A 99 Line Topology Optimization Code Written in Matlab,' Struc. Multidisc Optim., Vol. 21, pp. 120~127 https://doi.org/10.1007/s001580050176

Cited by

  1. Nano-Aperture Grating Structure Design in Ultra-High Frequency Range Based on the GA and the ON/OFF Method vol.36, pp.7, 2012, https://doi.org/10.3795/KSME-A.2012.36.7.739