Abstract
The paper deals with an application of the artificial immune system (AIS) to the optimization of shape, topology and material properties of 2-D and 3-D structures. Structures considered in this work are analyzed by the finite element method (FEM). Optimization criteria that are taken into account concern minimize mass of the structure. Numerical examples demonstrate that the method based on soft computing is a very effective technique for solving computer aided optimal design.
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References
Allaire, G., Jouve, F., Toader, A.M.: Structural optimization using sensitivity analysis and a level-set method. J. Comput. Phys. 194, 363–393 (2004)
Balthrop, J., Esponda, F., Forrest, S., Glickman, M.: Coverage and generalization in an artificial immune system. In: Proceedings of the Genetic and Evolutionary Computation Conference GECCO 2002, pp. 3–10. Morgan Kaufmann, NY (2002)
Bendsoe, M.: Optimal shape design as a material distribution problem. Struct. Optim. (1989)
Burczyński, T., Długosz, A., Kus, W., Orantek, P., Poteralski, A., Szczepanik, M.: Intelligent computing in evolutionary optimal shaping of solids. In: Proceedings of 3rd International Conference on Computing, Communications and Control Technologies, vol. 3, pp. 294–298 (2005)
Burczyński, T., Kuś, W., Długosz, A., Poteralski, A., Szczepanik, M.: Sequential and Distributed Evolutionary Computations in Structural Optimization. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds.) ICAISC 2004. LNCS (LNAI), vol. 3070, pp. 1069–1074. Springer, Heidelberg (2004)
Burczyński, T., Szczepanik, M.: Intelligent optimal design of spatial structures. Computer and Structures (2013)
de Castro, L.N., Timmis, J.: Artificial immune systems as a novel soft computing paradigm. Soft Computing 7(8), 526–544 (2003)
Hemp, W.S.: Michells structural continua. Optimum Structures, ch. 4. Clarendon Press, Oxford (1973)
Heppner, F., Grenander, U.: A stochastic nonlinear model for coordinated bird flocks. In: Krasner, S. (ed.) The Ubiquity of Chaos. AAAS Publ., Washington, DC (1990)
Kennedy, J., Eberhart, R.C.: Particle Swarm Optimisation. In: Proceedings of IEEE Int. Conf. on Neural Networks, Piscataway, NJ, pp. 1942–1948 (1995)
Michalewicz, Z.: Genetic Algorithms + Data Structures = Evolutionary Programs. Springer, Berlin (1992)
Mrozek, D., Małysiak, B., Kozielski, S.: An optimal alignment of proteins energy characteristics with crisp and fuzzy similarity awards. In: 2007 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2007, England, pp. 1513–1518 (2007)
Mrozek, D., Maysiak, B., Kozielski, S.: Alignment of Protein Structure Energy Patterns Represented as Sequences of Fuzzy Numbers. In: 2009 Annual Meeting of the North-American-Fuzzy-Information-Processing-Society, NAFIPS 2009, Cincinnati, OH, USA, pp. 35–40 (2009)
Osher, S., Sethian, J.A.: Front propagating with curvature dependent speed: algorithms based on the Hamilton Jacobi-formulations. J. Comp. Phys. 78, 12–49 (1988)
Poteralski, A., Szczepanik, M., Ptaszny, J., Kuś, W., Burczyński, T.: Hybrid artificial immune system in identification of room acoustic properties Inverse Problems in Science and Engineering. Taylor and Francis (2013)
Poteralski, A., Szczepanik, M., Dziatkiewicz, G., Kuś, W., Burczyński, T.: Comparison between PSO and AIS on the basis of identification of material constants in piezoelectrics. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2013, Part II. LNCS(LNAI), vol. 7895, pp. 569–581. Springer, Heidelberg (2013)
Poteralski, A.: Optimization of mechanical structures using artificial immune algorithm. In: Kozielski, S., Mrozek, D., Kasprowski, P., Małysiak-Mrozek, B.z. (eds.) BDAS 2014. CCIS, vol. 424, pp. 280–289. Springer, Heidelberg (2014)
Poteralski, A., Szczepanik, M., Beluch, W., Burczyński, T.: Optimization of composite structures using bio-inspired methods. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2014, Part II. LNCS(LNAI), vol. 8468, pp. 385–395. Springer, Heidelberg (2014)
Ptak, M., Ptak, W.: Basics of Immunology. Jagiell. Univ. Press (2000) (in Polish)
Reynolds, C.W.: Flocks, herds, and schools, A distributed behavioral model. Computer Graphics 21, 25–34 (1987)
Szczepanik, M., Poteralski, A., Długosz, A., Kuś, W., Burczyński, T.: Bio-inspired optimization of thermomechanical structures. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2013, Part II. LNCS, vol. 7895, pp. 79–90. Springer, Heidelberg (2013)
Szczepanik, M., Poteralski, A., Ptaszny, J., Burczyński, T.: Hybrid Particle Swarm Optimizer and its Application in Identification of Room Acoustic Properties. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) SIDE 2012 and EC 2012. LNCS, vol. 7269, pp. 386–394. Springer, Heidelberg (2012)
Szczepanik, M., Burczyński, T.: Swarm optimization of stiffeners locations in 2-D structures. Bulletin of the Polish Academy of Sciences, Technical Sciences 60(2), 241–246 (2012)
Wierzchoń, S.T.: Artificial Immune Systems, Theory and Application (2001) (in Polish)
Xie, Y.M., Steven, G.P.: Evolutionary Structural Optimization. Springer (1997)
Yamada, T., et al.: A topology optimization method based on the level set method in-corporating a fictitious interface energy. Comput. Meth. Appl. Mech. Eng. (2010)
Zienkiewicz, O.C., Taylor, R.L.: The finite element method, vol. I, II. McGraw Hill (1989)
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Poteralski, A., Szczepanik, M., Burczyński, T. (2015). Immune Optimal Design of 2-D and 3-D Structures. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L., Zurada, J. (eds) Artificial Intelligence and Soft Computing. ICAISC 2015. Lecture Notes in Computer Science(), vol 9120. Springer, Cham. https://doi.org/10.1007/978-3-319-19369-4_42
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DOI: https://doi.org/10.1007/978-3-319-19369-4_42
Publisher Name: Springer, Cham
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