Browse > Article
http://dx.doi.org/10.5139/JKSAS.2008.36.10.979

Optimization of Position of Lightening Hole in 2D Structures through MLS basede Overset Metheod along with Genetic Algorithm  

Oh, Min-Hwan (인하대학교 항공우주공학과 대학원)
Woo, Dong-Ju (인하대학교 항공우주공학과 대학원)
Cho, Jin-Yeon (인하대학교 항공우주공학과)
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.36, no.10, 2008 , pp. 979-987 More about this Journal
Abstract
In aerospace structural design, the position of lightening hole is often required to be optimized from the initial design in order to avoid an excessive stress concentration. To remodel the updated configuration in optimization procedure, re-meshing procedure is conventionally adopted. However, this approach is time-consuming, and has limitations especially in handling hexahedral or quadrilateral meshes, which are preferred because of their good numerical performances. To attenuate these disadvantages, new optimization scheme is proposed by combining the MLS(Moving Least Squares) based overset method and the genetic algorithm in this work. To test the validity of the proposed optimization scheme, optimizations of positions of lightening holes in 2D structures have been carried out.
Keywords
Optimization; Lightening hole; MLS based overset method; Genetic algorithm;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Lancaster, P., Salkauskas, K., 'Surfaces generated by moving least squares methods', Mathematics of Computation, Vol. 37, 1891, pp. 141-158   DOI
2 Younsi, R., Knopf-Lenoir, C. and Selman, A., 'Multy-mesh and adaptivity in 3D shape optimization', Computer and Structures, Vol. 61, 1996, pp. 1125-1133   DOI   ScienceOn
3 전형용, 성낙원, 한근조, '원공 위치와 형상 변화에 따른 전동차 크로스 빔의 강도해석', 한국정밀공학회지, 제 16권 제 9호, 1999, pp. 9-17
4 Woo, D. J., Yang, J. O., Kim, B. S., Lee, S. and Cho, J. Y., 'An Orphan-cell-free Overset Method Based on Meshless MLS approximation for Coupled Analysis of Overlapping Finite Element Substructures', CMES-Computer Modeling in Engineering and Sciences, Accepted for publication, 2008
5 Pedersen, P., 'Design study of hole position and hole shapes for crack tip stress releasing', Structural and Multidisciplinary Optimization, Vol. 28, 2004, pp. 243-251   DOI
6 Jang, G.-W., Kim, Y. Y., Choi, K. K., 'Remesh-free shape optimization using the wavelet-Galerkin method', International Journal of Solids and Structures, Vol. 41, 2004, pp. 6465-6483   DOI   ScienceOn
7 Schwarz, H. A., 'Uber einige Abbildungs- aufgaben', Ges. Math. Abh., Vol. 11, 1869, pp. 65-83
8 Goldberg, D. E., Genetic Algorithms in Search, Optimization and Machine Learning, Addison-Wesley, 1989
9 Cho, J. Y., 'How to achieve Kronecker delta condition in moving least squares approximation along the essential boundary', CMC: Computers, Materials, and Continua, Vol. 5, 2007, pp. 99-116
10 Atluri, S. N., Methods of Computer Modeling in Engineering & the Sciences, Vol. 1. Tech Science Press, Forsyth, GA, 2005
11 Varga, R. S., Matrix Iterative Analysis. 2nd Revised and Expanded Ed., Springer-Verlag, Berlin, 2000
12 Babuska, I., Melenk, J., 'The partition of unity method', International Journal for Numerical Methods in Engineering, Vol. 40, 1997, pp. 727-758   DOI   ScienceOn
13 Liu, W., Jun, S., Zhang, Y., 'Reproducing kernel particle methods', International Journal for Numerical methods in Fluid, Vol. 20, 1995, pp. 1081-1106   DOI   ScienceOn
14 Stoutemy, D. R., 'Numerical implementa- tion of the Schwarz alternating procedure for elliptic partial differential equations', SIAM Journal on Numerical Analysis, Vol. 10, 1973, pp. 308-326   DOI   ScienceOn
15 Lions, P. L., 'On the Schwarz alternating method I', SIAM proceeding of the First International Symposium on Domain Decomposition Methods for Partial Differential Equations, 1987, pp. 1-42
16 Atluri, S. N., Cho, J. Y., Kim, H. S., 'Analysis of thin beams, using the meshless local Petrov-Galerkin method, with generalized moving least squares interpolations', Computa- tional Mechanics, Vol. 24, 1999, pp. 334-337   DOI