Journal of the Korean Society of Manufacturing Technology Engineers (한국생산제조학회지)

The Korean Society of Manufacturing Technology Engineers (한국생산제조학회)
권호 표지
DOI QR코드

DOI QR Code

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

유용방향법 최적화 알고리즘을 사용한 고유진동수에 대한 구조 최적설계 FEA 모듈 개발

  • Received : 2012.08.31
  • Accepted : 2012.11.28
  • Published : 2013.02.15
Download PDF
⟨ Previous Next ⟩

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

References

  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. https://doi.org/10.1002/nme.1620060207
  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. https://doi.org/10.1007/BF00935298
  7. Sobieski, J. S., 1990, "Sensitivity of Complex Internally Coupled System," AIAA J., Vol. 28, No. 1, pp. 153-160. https://doi.org/10.2514/3.10366
  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.
  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.
  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.
  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.
  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.

Cited by

  1. Dynamic Response Assessment of Space Use Telescope vol.24, pp.1, 2015, https://doi.org/10.7735/ksmte.2015.24.1.087