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http://dx.doi.org/10.7735/ksmte.2013.22.1.63

Structure Optimization FEA Code Development Under Frequency Constraints by Using Feasible Direction Optimization Method  

Cho, Hee Keun (안동대학교 기계교육과)
Publication Information
Journal of the Korean Society of Manufacturing Technology Engineers / v.22, no.1, 2013 , pp. 63-69 More about this Journal
Abstract
In order to find the optimum design of structures that have characteristic natural frequency range, a numerical optimization method to solving eigenvalue problems is a widely used approach. However in the most cases, it is difficult to decide the accurate thickness and shape of structures that have allowable natural frequency in design constraints. Parallel analysis algorithm involving the feasible direction optimization method and Rayleigh-Ritz eigenvalue solving method is developed. The method is implemented by using finite element method. It calculates the optimal thickness and the thickness ratio of individual elements of the 2-D plane element through a parallel algorithm method which satisfy the design constraint of natural frequency. As a result this method of optimization for natural frequency by using finite element method can determine the optimal size or its ratio of geometrically complicated shape and large scale structure.
Keywords
Design optimization; Structure; Feasible direction method; Natural frequency; Finite element analysis;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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1 Bathe, K. J., 1981, Finite Element Procedures in Engineering Analysis, Prentice-Hall, New York, pp. 66-431.
2 Bathe, K. J., and Wilson, E. L., 1973, "Eigen Solution of Large Structural Systems with Small Bandwidth," A.S.C.E., J. Eng. Mech. Devi., Vol. 99, No. 3, pp. 467-479.
3 Bathe, K. J., and Wilson, E. L., 1973, "Solution Methods for Eigenvalue Problems in Structural Mechanics," A.S.C.E., Int. J. Num. Meth. Eng., Vol. 6, No. 2, pp. 213-226.   DOI   ScienceOn
4 Hsiung, C. K., 1988, "Optimum Structural Design with Parallel Finite Element Analysis," Computer and Structure, Vol. 40, No. 6, pp. 1469-1474.
5 Moses, F., 1964, "Optimum Structrual Design Using Linear Programming," ASCE J. Struct. Divi., Vol. 90, No. ST6, pp. 89-104.
6 Betts, J. T., 1978, "A Gradient Projection-Multiplier Method for Nonlinear Programming," J. Opti. Theory and Appl., Vol. 24, No. 4, pp. 523-548.   DOI
7 Sobieski, J. S., 1990, "Sensitivity of Complex Internally Coupled System," AIAA J., Vol. 28, No. 1, pp. 153-160.   DOI
8 Jang, T. S., 1992, "Application of Nonlinear Goal Programming to Structural Optimization," The Kor. Soc. Auto. Eng., Vol. 14, No. 1, pp. 64-73.   과학기술학회마을
9 Arora, J. S., 1994, Optimum Design, Mc-Grow Hill, New York, pp. 584-625.
10 Mcaloon, K., 1996, Optimization and Computational Logic, Wiley, New York, pp. 97-331.
11 Kim, M. H., Han, J. Y., Choi, E. H., bae, W. B., and Kang, S. S., 2011, "The Arrangement of Heaters for Rubber Injection Molds using FEM and Optimal Design Method," Journal of the KSMTE, Vol. 20, No. 1, pp. 34-39.   과학기술학회마을
12 Yoo, K. S., Park, J. W., Sinichi, H., and Han, S. Y., 2010, "Optimum Design of Movable Hydraulic Crane Booms," Journal of the KSMTE, Vol. 19, No. 6, pp. 776-781.   과학기술학회마을
13 Park, S. J., and Lee, Y. L., 2011, "Optimal Flow Design of High-Efficiency, Cold-Flow, and Large-size Heat Pump Dryer," Journal of the KSMTE, Vol. 20, No. 5, pp. 547-552.   과학기술학회마을
14 Huebner, K. H., 1982, The Finite Element Method for Engineers, Wiley, New York, pp. 62-304.
15 Kuester, J. L., '973, Optimization Techniques with Fortran, Mc-Grow Hill, pp. 135-286.