Topology and shape optimization of continuum structures by genetic algorithm and BEM
Keywords:
Topology and shape optimization, genetic algorithm (GA), boundary element method, spline function, two-dimensional elastic problem.Abstract
This paper describes the topology and shape optimization scheme of continuum structures by using genetic algorithm (GA) and boundary element method (BEM). The structure profiles are defined by using the spline function surfaces. Then, the genetic algorithm is applied for determining the structure profile satisfying the design objectives and the constraint conditions. The present scheme is applied to minimum weight design of two-dimensional elastic problems in order to confirm the validity.
References
[1] D. E. Goldberg. Genetic algorithms in search, optimization and machine learning. Addison Wesley, 1 edition, 1989.
[2] L. Davis. Handbook of Genetic Algorithms. Van Nostrand Reinhold, 1 edition, 1991.
[3] J . Sakamoto, J. Oda. A technique of optimal layout design for truss structures using genetic algorithm. In Proc. 34th AIAA/ASME/ASCE/AHS/ASC Struc. Struc. Dyna. Mat. Conf., 2402- 2408, 1993.
[4] E. Kita, H. Tanie. Shape optimization of continuum structures by using genetic algorithm and boundary element method. Engineering Analysis with Boundary Elements: Special Issue, Optimization and Sensitivity Analysis with Boundary Elements, 19: 129- 136, 1997.
[5] Y. Kohama, T. Takada, N. Kozawa, A. Miyamura. Collapse analysis of rigid frame by genetic algorithm. In S. Hernandez and C. A. Brebbia, (Eds.), Computer Aided Optimum Design of Structures V (Proc. 5th International Conference on Computer Aided Optimum Design of Structures, Rome, Italy, 1997), 193- 202, 1997.
[2] L. Davis. Handbook of Genetic Algorithms. Van Nostrand Reinhold, 1 edition, 1991.
[3] J . Sakamoto, J. Oda. A technique of optimal layout design for truss structures using genetic algorithm. In Proc. 34th AIAA/ASME/ASCE/AHS/ASC Struc. Struc. Dyna. Mat. Conf., 2402- 2408, 1993.
[4] E. Kita, H. Tanie. Shape optimization of continuum structures by using genetic algorithm and boundary element method. Engineering Analysis with Boundary Elements: Special Issue, Optimization and Sensitivity Analysis with Boundary Elements, 19: 129- 136, 1997.
[5] Y. Kohama, T. Takada, N. Kozawa, A. Miyamura. Collapse analysis of rigid frame by genetic algorithm. In S. Hernandez and C. A. Brebbia, (Eds.), Computer Aided Optimum Design of Structures V (Proc. 5th International Conference on Computer Aided Optimum Design of Structures, Rome, Italy, 1997), 193- 202, 1997.
Published
2023-01-18
Issue
pp. 63-75
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Kita, E., Tamaki, T., & Tanie, H. (2023). Topology and shape optimization of continuum structures by genetic algorithm and BEM. Computer Assisted Methods in Engineering and Science, 11(1), 63-75. https://cames3.ippt.pan.pl/index.php/cames/article/view/1044
